You are dealt one card from a 52-card deck. Find the probability that you are not dealt a card with number from 2 to 9.​

Answers

Answer 1

The probability that we do not dealt a card with number 2 to 9 is 5/13

What is Probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given,
A pack of card = 52 cards

The Cards having Hearts = 13

The Cards having Spade = 13

The Cards having Diamond = 13

The Cards having Clubs = 13

According to question

The cards numbered from 2 to 9 are 8 cards, specifically 2, 3, 4, 5, 6, 7, 8, and 9.

But there are four suits:  diamonds, hearts, spades, and clubs.

Therefore you multiply 8 by 4 to get 32

The probability of getting dealt one of those cards would be:

32/52, or

8/13

But we have to find the probability of not getting such cards

Thus,

1 - 8/13 = 5/13

Hence,  the probability that you are not dealt a card with number from 2 to 9 will be 5/13

To learn more about Probability click on the link

https://brainly.com/question/24756209

#SPJ9


Related Questions

Determine which of the following lines, if any, are perpendicular • Line A passes through (2,7) and (-1,10) • Line B passes through (-4,7) and (-1,6)• Line C passed through (6,5) and (7,9)

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

Line A:

point 1 (2,7)

point 2 (-1,10)

Line B:

point 1 (-4,7)

point 2 (-1,6)

Line C:

point 1 (6,5)

point 2 (7,9)

Step 02:

perpendicular lines:

slope of the perpendicular line, m’

m' = - 1 / m

Line A:

slope:

[tex]m\text{ = }\frac{y2-y1}{x2-x1}=\frac{10-7}{-1-2}=\frac{3}{-3}=-1[/tex]

Line B:

slope:

[tex]m=\frac{y2-y1}{x2-x1}=\frac{6-7}{-1-(-4)}=\frac{-1}{-1+4}=\frac{-1}{3}[/tex]

Line C:

slope:

[tex]m\text{ = }\frac{y2-y1}{x2-x1}=\frac{9-5}{7-6}=\frac{4}{1}=4[/tex]

m' = - 1 / m ===> none of the slopes meet the condition

The answer is:

there are no perpendicular lines

PLEASE ANSWER ASAP ! Thanks :)

Answers

The inverse function table of the function is given by the image at the end of the answer.

How to calculate the inverse function?

A function y = f(x) is composed by the following set of cartesian points:

(x,y).

In the inverse function, the input of the function represented by x and the output of the function represented by y are exchanged, meaning that the coordinate set is given by the following rule:

Thus, the points that will belong to the inverse function table are given as follows:

x = -8, f^(-1)(x) = -2, as the standard function has x = -2 and f(x) = -8.x = -4.5, f^(-1)(x) = -1, as the standard function has x = -1 and f(x) = -4.5.x = -4, f^(-1)(x) = 0, as the standard function has x = 0 and f(x) = -4.x = 0, f^(-1)(x) = 2, as the standard function has x = 2 and f(x) = 0.

More can be learned about inverse functions at https://brainly.com/question/3831584

#SPJ1

Answer:

[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} \vphantom{\dfrac12} x &-8 &-4.5 & -4&0 \\\cline{1-5} \vphantom{\dfrac12} f^{-1}(x) &-2 & -1& 0&2 \\ \cline{1-5}\end{array}[/tex]

Step-by-step explanation:

The inverse of the graph of a function is its reflection in the line y = x.

Therefore, the mapping rule to find the inverse of the given ordered pairs is:

(x, y) → (y, x)

Therefore:

The inverse of (-2, -8) is (-8, -2)The inverse of (-1, -4.5) is (-4.5, -1)The inverse of (0, -4) is (-4, 0)The inverse of (2, 0) is (0, 2)

Completed table:

[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} \vphantom{\dfrac12} x &-8 &-4.5 & -4&0 \\\cline{1-5} \vphantom{\dfrac12} f^{-1}(x) &-2 & -1& 0&2 \\ \cline{1-5}\end{array}[/tex]

Austin and carly despoit 500.00 into a savings account which earns 1% interest compounded monthly they want to use the money in the account to go on a trip in 2 years how much will they be able to spend

Answers

EXPLANATION

Let's see the facts:

Austin and Carly deposit: $500

Interest rate= 1%

Compounding period = monthly

Total number of years = 2

Given the Compounding Interest Rate formula:

[tex]\text{Compound amount = P (1+r/n)\textasciicircum{}nt}[/tex]

n is the compounding period

t is the number of years

r is te interest rate in decimal form

Replacing the given values will give us:

[tex]\text{Compound amount = 500 (1+}\frac{0.01}{12})^{12\cdot2}[/tex]

Solving the power:

[tex]\text{Compound amount = 500 }\cdot1.020192843[/tex][tex]\text{Compound amount = \$510.09}[/tex]

Answer: Austin and Carly will be able to spend $510.09.

Identify the property of equality that justifies the missing step to solve the given equation.Equation3x + (1 - 8) = 124r-I8 = 12StepsOriginal equationAssociative property of addition4r= 20r=5Division property of equalitya. subtraction property of equalityb. addition property of equalityc. division property of equalityd. multiplication property of equality

Answers

From the attached image;

[tex]4x-8=12[/tex]

The next step is to add 8 to both sides of the equation to remove -8.

[tex]\begin{gathered} 4x-8+8=12+8 \\ 4x=20 \end{gathered}[/tex]

Since we added to the equation.

The step is an addition property of equality

For the function f(x) = 6e^x, calculate the following function values:f(-3) = f(-1)=f(0)= f(1)= f(3)=

Answers

Consider the given function,

[tex]f(x)=6e^x[/tex]

Solve for x=-3 as,

[tex]\begin{gathered} f(-3)=6e^{-3} \\ f(-3)=6(0.049787) \\ f(-3)=0.2987 \end{gathered}[/tex]

Thus, the value of f(-3) is 0.2987 approximately.

Solve for x=-1 as,

[tex]\begin{gathered} f(-1)=6e^{-1} \\ f(-1)=6(0.367879) \\ f(-1)=2.2073 \end{gathered}[/tex]

Thus, the value of f(-1) is 2.2073 approximately.

Solve for x=0 as,

[tex]\begin{gathered} f(0)=6e^0 \\ f(0)=6(1) \\ f(0)=6 \end{gathered}[/tex]

Thus, the value of f(0) is 6 .

Solve for x=1 as,

[tex]\begin{gathered} f(1)=6e^1 \\ f(1)=6(2.71828) \\ f(1)=16.3097 \end{gathered}[/tex]

Thus, the value of f(1) is 16.3097 approximately.

Solve for x=3 as,

[tex]\begin{gathered} f(3)=6e^3 \\ f(3)=6(20.0855) \\ f(3)=120.5132 \end{gathered}[/tex]

Thus, the value of f(3) is 120.5132 approximately.

Solve for x(2x+3)(3x-2)=(3x+3)(2x-2)

Answers

To solve for x, we need to apply distributive property as:

[tex]\begin{gathered} \left(2x+3\right)\left(3x-2\right)=\left(3x+3\right)\left(2x-2\right)​ \\ 2x\cdot3x+2x\cdot(-2)+3\cdot3x+3\cdot(-2)=3x\cdot2x+3x(-2)+3\cdot2x+3\cdot(-2) \\ 6x^2-4x+9x-6=6x^2-6x+6x-6 \\ 6x^2+5x-6=6x^2-6 \\ 6x^2+5x-6+6=6x^2-6+6 \\ 6x^2+5x=6x^2 \\ 6x^2+5x-6x^2=6x^2-6x^2 \\ 5x=0 \\ x=0 \end{gathered}[/tex]

Answer: x = 0

What is the opposite of the number −12?
A(-1/12
B(1/12
C(0
D(12

Answers

Answer: D(12)

Step-by-step explanation: To find the opposite it the number you would do -12= -12 x -1 = 12

Choose a student in grades 9 to 12 at random and ask if he or she is studying a language other than English. Here isthe distribution of the students:

Answers

Solution:

a) 0.38

b)0.36

c)0.33

Analysis:

a)Studying a language other than English: In this case, we add all probabilities of the chart, except None (Because that is people don't study a la

There are 12 freshman 6 sophomores 12 juniors and 16 seniors. What percentage of club members are sophomores

Answers

Answer:

13% (rounded)

Step-by-step explanation:

12 + 6 + 12 + 16 = 46

46 total students

out of those 46 students, 6 are sophomores

so put that into a fraction it becomes

[tex]\frac{6}{46}[/tex]

which equals

0.130434783

which in percentage is

13.0434783%

or 13% rounded

URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS!!!!!!

Jimmy ran 20 meters west
from home and then turned
north to jog 25 meters. Jimmy
ran 45 meters, but could have
arrived at the same point by in
a straight line. How many
meters could he have using a
line distance?

A. 3.5 meters
B. 7 meters
C. 32 meters
D. 45 meters

Answers

Answer:

32 meters

Step-by-step explanation:

If Jimmy ran straight from his house, the answer wouldnt be 45 because thats what he did originally when he ran a longer route from his home. 3.5 and 7 meters are too short because he ran at least 25 based off of when he turned from the West. 32 is the only reasonable answer because it would be a shorter distance than 45 meters but longer than 25 because of the route he takes in a straight line.

Answer:

here is the answer to your question

hope you get it well

If the cost of a car is $6,345.00, and the tax rate is 6%, how much is the total cost of the car?

Answers

Given:

Cost of Car is $6,345

Tax rate is 6%

[tex]\begin{gathered} \text{Tax Amount=6345}\times\frac{6}{100} \\ \text{Tax Amount= \$380.70} \end{gathered}[/tex][tex]\begin{gathered} \text{Total cost of the car =6345+380.70} \\ \text{Total cost of the car = \$6725.70} \end{gathered}[/tex]

the difference of twice h and 5 is as much as the sum of h and 4

Answers

The value of h by solving the given relationship we get, h = 9

In the above question, a word problem is given with the following relations which are as

First we'll express the given word problem statements into mathematical equation expressions

Therefore, The difference of twice of h and 5 is as much as the sum of h and 4

It can be written as in mathematical equation form as

2h - 5 = h + 4

Now, we need to find the value of h by solving the above mathematical equation formed put of the given relationship

Here,

2h - 5 = h + 4

2h - h = 5 + 4

h = 9

Hence, The value of h by solving the given relationship we get, h = 9

To learn more about, word problems here

https://brainly.com/question/2610134

#SPJ1

Sally started on the 12th floor. She walked up 4 flights. Then she went down 2 flights. Then she ran up 8 flights of stairs. a) Write an ADDITION expression b) What floor did she end up on? SHOW ALL WORK!

Answers

1) Gathering the data

Initial point 12th floor

2) She started on 12th floor and walked up 4 flights of stairs, assuming from each floor to another we have just 1 flight of stair. And we're using an addition expression, Hence, we can say:

12 +4-2+8=

16 +6

22

She ended up on the 22th floor

i need some help list the integers in the set

Answers

Solution

The integers are the set of real numbers consisting of the natural numbers, their additive inverses and zero. {...,−5,−4,−3,−2,−1,0,1,2,3,4,5,...} The set of integers is sometimes written J or Z for short. The sum, product, and difference of any two integers is also an integer.

The whole numbers are set of real numbers that includes zero and all positive counting numbers. Whereas, excludes fractions, negative integers, fractions, and decimals. All the whole numbers are also integers, because integers include all the positive and negative numbers

The integers are real numbers

Therefore the numbers are list of integers

[tex]-8,9,\frac{0}{7},\frac{12}{4}[/tex]

A square paddock has an area of 7140.25m².
How long is each side?

Answers

Answer:

it's 84.5 m ...................

Mary Anne wants the professor to build a ramp to make it easier to get things into the cook hut. The ramp has to rise 2 feet and will have anangle of 12 degrees with the ground.Calculate how far out from the hut the ramp will go. Round to the nearest 1 decimal. _____What length of timbers will be needed to build the ramp (how long is the distance along the ramp) Round to the nearest 1 decimal. _____

Answers

The next figure illustrates the problem

x is computed as follows:

tan(12°) = opposite/adjacent

tan(12°) = 2/x

x = 2/tan(12°)

x = 9.4 ft

y is computed as follows:

sin(12°) = opposite/hypotenuse

sin(12°) = 2/y

y = 2/sin(12°)

y = 9.6 ft

Trapezoid W'X'Y'Z' is the image of trapezoid W XYZ under a dilation through point C What scale factor was used in the dilation?

Answers

The scale factor is basically by what we need to multiply the original to get the dilated one.

Simple.

We can see that the original one is Trapezoid WXYZ and the dilated one is W'X'Y'Z'.

THe dilated trapezoid is definitely bigger than original. So the scale factor should be larger than 1.

One side of original is "6" and the corresponding side of dilated trapezoid is "14".

So, what we have to do to "6", to get "14"??

This is the scale factor!

To get 14, we have to multiply 6 with, suppose, "x", so:

[tex]\begin{gathered} 6x=14 \\ x=\frac{14}{6} \\ x=\frac{7}{3} \end{gathered}[/tex]

Hence, SF is 7/3

solve the quadratic equation below.3x^2-9=0

Answers

[tex]\begin{gathered} 3x^2-9=0 \\ 3x^2-9+9=0+9 \\ 3x^2=9 \\ \frac{3x^2}{3}=\frac{9}{3} \\ x^2=3 \\ x=\sqrt{3},\: x=-\sqrt{3} \end{gathered}[/tex]

Hello! I need some help with this homework question, please? The question is posted in the image below. Q6

Answers

Step 1

Given;

[tex]g(x)=3x^2-5x-2[/tex]

Required; To find the zeroes by factoring

Step 2

Find two factors that when added gives -5x and when multiplied give -6x

[tex]\begin{gathered} \text{These factors are;} \\ -6x\text{ and x} \end{gathered}[/tex][tex]\begin{gathered} -6x\times x=-6x^2 \\ -6x+x=-5x \end{gathered}[/tex]

Factoring we have and replacing -5x with -6x and x we have

[tex]\begin{gathered} 3x^2-6x+x-2=0 \\ (3x^2-6x)+(x-2)_{}=0 \\ 3x(x-2)+1(x-2)=0 \\ (3x+1)(x-2)=0 \\ 3x+1=0\text{ or x-2=0} \\ x=-\frac{1}{3},2 \\ \text{The z}eroes\text{ are, x=-}\frac{1}{3},2 \end{gathered}[/tex]

Graphically the x-intercepts are;

The x-intercepts are;-1/3,2

Hence, the answer is the zeroes and x-intercepts are the same, they are;

[tex]-\frac{1}{3},2[/tex]

i inserted a picture of the question state whether it’s a b c or d please don’t ask tons of questions yes i’m following

Answers

The possible values for any probability are between zero and one. With this in mind we conclude that A, B, C and E are allowed probabilities

Suppose that 27 percent of American households still have a traditional phone landline. In a sample of thirteen households, find the probability that: (a)No families have a phone landline. (Round your answer to 4 decimal places.) (b)At least one family has a phone landline. (Round your answer to 4 decimal places.) (c)At least eight families have a phone landline.

Answers

Answer:

(a) P = 0.0167

(b) P = 0.9833

(c) P = 0.0093

Explanation:

To answer these questions, we will use the binomial distribution because we have n identical events (13 households) with a probability p of success (27% still have a traditional phone landline). So, the probability that x families has a traditional phone landline can be calculated as

[tex]\begin{gathered} P(x)=nCx\cdot p^x\cdot(1-p)^x \\ \\ \text{ Where nCx = }\frac{n!}{x!(n-x)!} \end{gathered}[/tex]

Replacing n = 13 and p = 27% = 0.27, we get:

[tex]P(x)=13Cx\cdot0.27^x\cdot(1-0.27)^x[/tex]

Part (a)

Then, the probability that no families have a phone landline can be calculated by replacing x = 0, so

[tex]P(0)=13C0\cdot0.27^0\cdot(1-0.27)^{13-0}=0.0167[/tex]

Part (b)

The probability that at least one family has a phone landline can be calculated as

[tex]\begin{gathered} P(x\ge1)=1-P(0) \\ P(x\ge1)=1-0.167 \\ P(x\ge1)=0.9833 \end{gathered}[/tex]

Part (c)

The probability that at least eight families have a phone landline can be calculated as

[tex]P(x\ge8)=P(8)+P(9)+P(10)+P(11)+P(12)+P(13)[/tex]

So, each probability is equal to

[tex]\begin{gathered} P(8)=13C8\cdot0.27^8\cdot(1-0.27)^{13-8}=0.0075 \\ P(9)=13C9\cdot0.27^9\cdot(1-0.27)^{13-9}=0.0015 \\ P(10)=13C10\cdot0.27^{10}\cdot(1-0.27)^{13-10}=0.0002 \\ P(11)=13C11\cdot0.27^{11}\cdot(1-0.27)^{13-11}=0.00002 \\ P(12)=13C12\cdot0.27^{12}\cdot(1-0.27)^{13-12}=0.000001 \\ P(13)=13C13\cdot0.27^{13}\cdot(1-0.27)^{13-13}=0.00000004 \end{gathered}[/tex]

Then, the probability is equal to

P(x≥8) = 0.0093

Therefore, the answers are

(a) P = 0.0167

(b) P = 0.9833

(c) P = 0.0093

Using the rotation R, can you create a function R(ABCD) that is equivalent to the reflection of ABCD across both the x-axis and y-axis?

Answers

The reflection over the x-axis is given by:

[tex]R(x,y)\to(-x,y)[/tex]

And the reflection over the y-axis is given by:

[tex]R(x,y)\to(x,-y)[/tex]

Thus, a function that is equivalent to the reflection of ABCD across both axis would be:

[tex]R(x,y)\to(-x,-y)[/tex]

perpendicular lines homework

Answers

[tex]We\text{ have to find the slope of the lines, if the product of the slopes is -1, then they are perpendicular!}[/tex][tex]\begin{gathered} m_{AC}=\frac{7-1}{5-(-2)} \\ m_{AC}=\frac{6}{7} \\ \\ \\ m_{BC}=\frac{4-(-3)}{-3-3} \\ m_{BC}=\frac{7}{-6}=-\frac{7}{6} \end{gathered}[/tex][tex]\begin{gathered} m_{AC}\cdot m_{BD}=\frac{6}{7}\times(-\frac{7}{6}) \\ =-1 \\ \\ \text{ Thus the lines are perpendicular} \end{gathered}[/tex]

Hi, can you help me to solve this problem, please!!

Answers

In this problem, we have a vertical parabola open downward

that means

the vertex represents a maximum

looking at the graph

the maximum has coordinates (1,9)

therefore

the vertex is (1,9)

what are the terms in 7h+3

Answers

Input data

7h + 3

Procedure

A term is a single mathematical expression.

3 = is a single term.

It is simply a numerical term called a constant.

7h = is also a single term. , The coefficient of the first term is 7

A population of values has a normal distribution with u = 203.6 and o = 35.5. You intend to draw a randomsample of size n = 16.Find the probability that a single randomly selected value is greater than 231.1.PIX > 231.1) =Find the probability that a sample of size n = 16 is randomly selected with a mean greater than 231.1.P(M > 231.1) =Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or Z-scores rounded to 3 decimal places are accepted.

Answers

Part 1:

The probability that a single randomly selected value is greater than 231.1 equals one minus the probability that it is less or equal to 231.1:

P(x > 231.1) = 1 - P(x ≤ 231.1)

Now, to find P(x ≤ 231.1), we can transform x in its correspondent z-score, and then use a z-score table to find the probability:

x ≤ 231.1 => z ≤ (231.1 - 203.6)/35.5, because z = (x - mean)/(standard deviation)

z ≤ 0.775 (rounding to 3 decimal places)

Then we have:

P(x ≤ 231.1) = P( z ≤ 0.775)

Now, using a table, we find:

P( z ≤ 0.775) ≅ 0.7808

Then, we have:

P(x > 231.1) ≅ 1 - 0.7808 = 0.2192

Therefore, the asked probability is approximately 0.2192.

Part 2

For the next part, since we will select a sample out of other samples with size n = 16, we need to use the formula:

z = (x - mean)/(standard deviation/√n)

Now, x represents the mean of the selected sample, which we want to be greater than 231.1. Then, we have:

z = (231.1 - 203.6)/(35.5/√16) = 27.5/(35.5/4) = 3.099

P(x > 231.1) = 1 - P(x ≤ 231.1) = 1 - P(x ≤ 231.1) = 1 - P( z ≤ 3.099) = 1 - 0.9990 = 0.0010

Therefore, the asked probability is approximately 0.0010.

Question 2 of 10The one-to-one functions g and h are defined as follows.g={(-8, 6), (-6, 7), (-1, 1), (0, -8)}h(x)=3x-8Find the following.g-¹(-8)=h-¹(x) =(hoh− ¹)(-5) =

Answers

Answer: We have to find three unknown asked quantities, before we could do that we must find the g(x) from the coordinate points:

[tex]\begin{gathered} g=\left\{\left(-8,6\right),(-6,7),(-1,1),(0,-8)\right\}\Rightarrow(x,y) \\ \\ \text{ Is a tabular function} \\ \end{gathered}[/tex]

The answers are as follows:

[tex]\begin{gathered} g^{-1}(-8)=0\text{ }\Rightarrow\text{ Because: }(0,-8) \\ \\ \\ h^{-1}(x)=\frac{x}{3}+\frac{8}{3} \\ \\ \\ \text{ Because:} \\ \\ h(x)=3x-8\Rightarrow\text{ switch }x\text{ and x} \\ \\ x=3h-8 \\ \\ \\ \\ \text{ Solve for }h \\ \\ \\ h=h^{-1}(x)=\frac{x}{3}+\frac{8}{3} \end{gathered}[/tex]

The last answer is:

[tex]\begin{gathered} (h\text{ }\circ\text{ }h^{-1})(-5) \\ \\ \text{ Can also be written as:} \\ \\ h[h^{-1}(x)]\text{ evaluated at -5} \\ \\ h(x)=3x-8 \\ \\ h^{-1}(x)=\frac{x}{3}+\frac{8}{3} \\ \\ \\ \therefore\Rightarrow \\ \\ \\ h[h^{-1}(x)]=3[\frac{x}{3}+\frac{8}{3}]-8=x+8-8=x \\ \\ \\ \\ h[h^{-1}(x)]=x \\ \\ \\ \\ h[h^{-1}(-5)]=-5 \end{gathered}[/tex]

Mr. Alvarez is laying square paver blocks in sections in rows that look like steps.Section 1 has 3 rows that look like steps, the section is 6 blocks wide, and the bottom step is 8 blocks long. Section 2 has 4 rows that look like steps, the Section is 8 blocks wide, and the bottom step is 10 blocks long. Each Section after that is 2 blocks wider and 2 blocks longer.Drag the numbers to complete the table. Numbers may be used once, more than once, or not at all.

Answers

12

14

36 blocks

56 blocks

108 blocks

Explanation:

The length of section 1 = 8

The length increases by 2 uits as the section increases

Section 2 length of block = length of section 1 + 2 =

= 8 + 2

length of block = 10

Section 3 length of block = length of section 2 + 2

= 10 + 2

length of block = 12

Section 4 length of block = length of section 3 + 2

= 12 + 2

length of section = 14

Number of blocks needed:

if the blocks are counted,

For section 1 there are 6 rows . So we count the total number of blocks on each of them

= 4 + 4 + 6 + 6 + 8 + 8

Section 1 = 36 blocks

For section 2, we count the number of blocks on each row

= 4 + 4 + 6 + 6 + 8 + 8 + 10 + 10

section 2 = 56 blocks

For sectoion 3: The length and width increases by 2 respectively

previous length + 2 = 10 + 2 = 12

Due to the increase we would have two length of 12

= 4 + 4 + 6 + 6 + 8 + 8 + 10 + 10 + 12 + 12 = 80

Already given = 80

For section 4: The length and width increases by 2 respectively

previous length + 2 = 12 + 2 = 14

The increase causes an addition of two length of 14 blocks

Total blocks = 4 + 4 + 6 + 6 + 8 + 8 + 10 + 10 + 12 + 12 + 14 + 14

Total blocks for Section 4 = 108

What is the solution to the equation below? Round your answer to two decimal places.ex = 5.9A.x = 124.50B.x = 1.77C.x = 365.04D.x = 0.77

Answers

We have the next given equation:

[tex]e^x=5.9[/tex]

Now, we can solve for x using the exponent's properties:

Add both sides ln:

[tex]\ln e^x=\ln5.9[/tex]

With the ln we can take down the exponent and simplify ln*e = 1.

Hence,

[tex]\begin{gathered} x=\ln(5.9) \\ x=1.77 \end{gathered}[/tex]

Hence, the correct answer is option B.

(30 points) Solve for the missing side of the triangle. Round to the hundredths place if needed.

Answers

Answer:

[tex]6 \sqrt{6} [/tex]

Step-by-step explanation:

The square value of hypotenuse is equal to the square value of sum of the two legs:

[tex] {15}^{2} + {x}^{2} = {21}^{2} [/tex]

225 + x^2 = 441 subtract 225 from both sides

x^2 = 216 find the root of both sides

x = 6√(6)

Other Questions
A fair quarter, a fair dime, a fair nickel, and a fair penny are tossed. Find the probability of obtaining exactly one head. Enter the explicit and recursive equations for the sequence 2, -4, -10, -16 Please HELP HELP PLS Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form. check the image I got y=-xsqrt3/3 but I want to double check To support a thesis for document-based essay, a writer should analyze documents to findfactsand details. Identify the domain and range of the relation. Is the relation a function? Why or why not? {(-3, 1), (0, 2), (1, 5), (2, 4), (2, 1)} You are driving at the speed of 29.5 m/s(66.0037 mph) when suddenly the car infront of you (previously traveling at the samespeed) brakes and begins to slow down withthe largest deceleration possible without skidding. Considering an average human reaction,you press your brakes 0.558 s later. You alsobrake and decelerate as rapidly as possiblewithout skidding. Assume that the coefficientof static friction is 0.708 between both carswheels and the road.The acceleration of gravity is 9.8 m/s2.Calculate the acceleration of the car in frontof you when it brakes.Answer in units of m/s2.What is the frictional force acting on the35 kg mass?Answer in units of N What power does home rule give local governments?Answer choices below A. Local governments can enforce state laws without using state law enforcement.B. Local governments can create new laws without state government approval.C. Local governments can pass laws that contradict federal laws. D. Local governments can pass laws that contradict state laws. John is buying carpet for his house. He pays $1.30 per square foot for the first 1000 square feet. He pays $1.00 peradditional square foot after 1000 square feet.Part A: Write an equation for the total price when John buys less than 1000 square feet of carpet. Let c representthe amount of carpet needed in square feet, and p represent the total price in dollars.Enter vour equation in the first response boxPart B: John calculates that the total price will be $1500. How many square feet of carpet will he buy?Place your answer in the second response box a bank loaned out $23,000, part of it at the rate of 11% annual interest, and the rest at 12% annual interest. the total interest earned for both loans was $2,595.00. how much was loaned at each rate Jason assembles bicycles for the Comer Bike Shop.He can assemble three racing bikes in five hours but itonly takes two hours to assemble six beach cruisers.Match each type of bicycle to the graph that representsthe average number of hours needed to assemble it. (2.) when combustibles are covered with no. 24-gauge sheet metal with a 1-inch ventilated air space, the required 18-inch clearance from the rear of an appliance may be reduced to how many inches? PLS HELP Quadrilateral ABCD is located at A(-2, 2), B(-2, 4), C(2, 4), and D(2, 2). The quadrilateral is then transformed using the rule (x + 7, y - 1) to form the imagecoordinates of A', B', C', and D'? Describe what characteristics you would find if the corresponding vertices were connected with line segments 2 cris a. Quelqu'un qui vient de France est..f b. Quelqu'un qui vient du Liban est..... c. Quelqu'un qui vient de Suisse est.... d. Quelqu'un qui vient de Tunisie est...t e. Quelqu'un qui vient du Canada est.. solve. 45n=5 problem How much should be invested now at an interest rate of 7% per year, compounded continuously, to have 2000 dollars in three years? Do not round intermediate computations, and round your answer to the nearest cent IMAGE ATTACHED. On average, Ian drinks 5/6 of a 6-ounce glass of water in 5 minutes. How much water does he drink, in glasses per hour? please help Write the equation of the function in the graph.. Please show all of your work so i can understand 21/x=48/96. 70/b=20/80. 50/20=x/72 Which of the following was not positively influenced by the automobile industryduring the 1920s?