Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 65% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 35%. There is only a 75% chance that she will find a tutor at such short notice. a. What is the probability that Christine fails the course? (Round your answer to 4 decimal places.)

Answers

Answer 1

Answer:

0.49

Step-by-step explanation:

We apply conditional probability to solve this question.

We have Events X and Events Y

P(X) = Probability Christine fails the course = ??? Unknown

P(Y) = Probability Christine finds a tutor

= 0.35

P(Y') = Probability Christine does not find a tutor = 1 - 0.35 = 0.75

P(X|Y) = Decrease in her probability of failing = 0.35

P(X|Y') = Probability that she will fail the course if she does not have a tutor

P(X) = P(X|Y) × P(Y) + P(X|Y') × P(Y')

P(X) = 0.35 × 0.75 + 0.65 × 0.35

P(X) = 0.2625 + 0.2275

P(X) = 0.49

The probability that Christine fails the course is 0.49


Related Questions

Find the x- and y-intercepts of the graph of the linear equation −4x+3y=−30

Answers

Answer:

y-int = -10, x-int = 15/2

Step-by-step explanation:

y int:

-4(0)+3y=-30

3y=-30

y=-10

x int:

-4x+3(0)=-30

-4x=-30

x=30/4=15/2

Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s6.20 bl/s and standard deviation 1.58 bl/s.1.58 bl/s. (a) What is the probability that an ant's speed in

Answers

This question is Incomplete

Complete Question

Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s and standard deviation 1.58 bl/s. (a) What is the probability that an ant's speed in light traffic is faster than 5 bl/s? You may find Table B useful. (Enter your answer rounded to four decimal places.)

Answer:

0.7762

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Population mean = 6.20 bl/s

Standard deviation = 1.58 bl/s.

x = 5 bl/s

z = 5 - 6.20/1.58

z = -0.75949

The probability that an ant's speed in light traffic is faster than 5 bl/s is P( x > 5)

Probability value from Z-Table:

P(x<5) = 0.22378

P(x>5) = 1 - P(x<5)

= 1 - 22378

= 0.77622

Approximately to 4 decimal places = 0.7762

The probability that an ant's speed in light traffic is faster than 5 bl/s is 0.7762

Identify the terms, coefficients, and constants in the expression.
7h + 3
I need help now!!!!!

Answers

Step-by-step explanation:

7 is the coeffiecient

3 is the constant

Can someone answer this and explain how to solve the 3 with the exponent of -4?

Answers

Answer:

3⁷

Step-by-step explanation:

When you multiplying or dividing numbers with exponents, you keep the base the same and specifically with dividing, you subtract the exponents themselves. So, you would be doing 3-(-4), which is 7.

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Exponents and power,

Since we know the concept that, any power in denominator of a fraction is shows as negative power when it comes to the Numerator of the fraction,like eg:-

[tex]1 \div ( {5}^{8} ) = {5}^{ - 8} [/tex]

so we apply here same,

also

[tex]1 \div ({5}^{ - 8} ) = {5}^{8} [/tex]

so we get as,

[tex] {3}^{3} \div {3}^{ - 4} = {3}^{3} \times {3}^{4} [/tex]

this is the answer.

c. One sixth of a number is 15. What is the number?
Please explain step by step.

Answers

Answer:

90

if 15 is 1 6th then yo need 5 more 15s to find out the whole number

Please help
Trying to help daughter do virtual. And I stink in this stuff!
w(t) = 3t – 1; t = 5

Answers

The answer is W =14/5 I believe

simplify these numbers
1. 125 5. 384
2. 458 6. 15710
3. 438 7. 2549
4. 10512 8. 8920

Answers

1. how do i simplify them like in fractions?

Will give brainliest if your answer is correct, please help me with this question it is past due (I have more questions like this that are also pat due, check my profile and go to questions to see them once I post the questions)

Answers

Answer:

Equal angles; Vertical angles ( which means equal ) ; Angles do not share special relationship; and right angles.... Hope this helps!

Step-by-step explanation:


A government may create and regulate natural monopolies because:

Answers

Answer:

they can handle the costs of providing essential services

Step-by-step explanation:

A government may create and regulate natural monopolies because the government has the right to manage and regulate the resources available to the country in order to provide welfare and proper services to own citizens.

Given that,
A government may create and regulate natural monopolies because:,
The incomplete statement is to be complete.

What is right?

An authority or claim controlled by the all-around people as the result of a constitution, law, ordinance, judicial precedent, or another type of law.

Here,
A government in any country has one motto rule of the country is to the people, for the people, and of the people. Whatever government does suppose to be for the welfare and proper livelihood in the country for its citizens. So in this manner,

Thus, a government may create and regulate natural monopolies because the government has the right to manage and regulate the resources available to the country in order to provide welfare and proper services to its own citizens.

Learn more about rights here,
https://brainly.com/question/8903161
#SPJ5

the nth term of a sequence is 20-n^2
a) find the third term of the sequence
b) which term in the sequence is the first to have a negative value ​

Answers

Answer:

a) 20 - 3^2 = 11

b) 5th, 20 - 5^2 = -5

Step-by-step explanation:

The answer assumes your terms begin at 1. If the terms begin at zero

a) 16

b) 6th term

if you chose to be extremely technical you would take the square root of 20.1 or 20.00000009 but I'm assuming they want whole numbers

Answer:

a)11

b)5th term

Step-by-step explanation:

Jeff places a pineapple with mass of 890g on a balance scale. He balances the scale by placing 2 oranges, an apple and lemon on other side. Each orange weighs 280g. The lemon weighs 195g less than each orange. What is the mass of the apple?

Answers

Answer:

bnbvmnbnjnmbkjbvkjhbjn

Step-by-step explanation:

lnjkkllknnhljknk

ah
nsjakensnsjskdkdkdjjsjsjshshsjzjs

Answers

Answer:

Step-by-step explanation:

You want to conduct a survey to determine the proportion of people who favor a proposed tax policy. How does increasing the sample size affect the size of the margin of error?
a. increasing n decreases E.b. increasing n increases E.c. increasing n will cause E to double in value.d. increasing n will not effect E.

Answers

Answer:

a. increasing n decreases E

Step-by-step explanation:

The sample size refers to the number (n) of units or observations taken from a population for a study. The results obtained from this sample size can be used to make generalizations about the entire population. The margin of error (E) is a measure of the sampling error or the percentage of the difference between the results obtained from the study and the true population value. The relationship between the sample size (n), and the Margin of error (E) is an inverse. That means

Sample size (n) ∝ 1/E

So, as the sample size increases, the margin of error decreases. This would be even more true if the accurate procedures for the experiment are followed.

67

Name

_Michael Goodger Lesson 4 Homework

1.Convert and write an equation with an exponent.

A. 2 meters to centimeters

2m = 200 cm

2 x 10 = 200

B. 108 centimeters to meters 108 cm = 1 m

1.08% 101=108

C. 2.49 meters to centimeters 2.49 m = 249

cm

2.49x 103= 249

D. 50 centimeters to meters 50 cm = 1 m

50x1=50

E 6.3 meters to centimeters 6.3 m = 63 cm

6.3x63=63

F 7 centimeters to meters Icm = _

m

In the space below, list the letters of the problems where smaller units are converted to larger units.

2. Convert using an equation with an exponent. Use your meter strip when it helps you.

a. 4 meters to millimeters

mm

b. 1.7 meters to millimeters

mm

1050 millimetorn

m =

m =

Answers

Answer:

Step-by-step explanation:

1)

A. 2 meters to centimeters

1 m = 100 cm

[tex]2 m = 2 \times 100 \\2 m = 200 cm = 2 \times 10^2[/tex]

B)108 centimeters to meters

100 cm =1 m

[tex]1 cm = \frac{1}{100} m \\108 cm = \frac{108}{100}=108 \times 10^{-2} m[/tex]

C)2.49 meters to centimeters

1 m = 100 cm

[tex]2.49 m = 2.49 \times 100 = \frac{249}{100} \times 100 = 249 cm[/tex]

D)50 centimeters to meters

100 cm = 1m

[tex]1 cm = \frac{1}{100} m \\50 cm = \frac{50}{100}= 5 \times 10^{-1} m[/tex]

E)6.3 meters to centimeters

1 m = 100 cm

[tex]6.3 m = 6.3 \times 100=\frac{63}{10} \times 100 = 630 cm[/tex]

F)7 centimeters to meters

100 cm = 1 m

[tex]1 cm = \frac{1}{100} m\\\\7 cm = \frac{7}{100} = 7 \times 10^{-2} m[/tex]

2)

a)4 meters to millimeters

1 m = 1000 mm

[tex]4 m = 4000 = 4 \times 10^3 mm[/tex]

b)1.7 meters to millimeters

1 m = 1000 mm

[tex]1.7 m = 1.7 \times 1000= \frac{17}{10} \times 1000=17 \times 10^2 mm[/tex]

What are the coordinates of the point (-3, 4) after a translation 5 units
right and 6 units down?

Answers

Answer:

(2,-2)

Step-by-step explanation:

Help me plz
It’s 8th grade math
And ion know what the answer is..

Answers

Answer:

B slope = 1 and y intercept is 3

Step-by-step explanation:

The y intercept is where the line crosses the y axis (x is zero).

The slope can be figured by how far the line rises and runs to the next intersection of lines. In this case it goes up 1 and to the right 1. The slope would be 1/1 or 1

Answer:

Slope =1 ; Y-intercept=3

Step-by-step explanation:

The y intercept would be the point on the vertical line that touches the graph which in this case is three.

then to get to the next point that's on the line would have to move over 1 once to the right and one time up. so the slope is 1 over 1 which would equal 1.

help me please !!!!!!!

Answers

Answer:

I don't see the screenshot and i'm not going to download it...

Step-by-step explanation:

yikes

How many solutions does this problem have 7(y+3)=5y+8

Answers

Answer:

7(y+3)=5y+8

y= -3/2  One solution

Step-by-step explanation:

Selina didn't use the distributive property correctly. Where did she go wrong? Explain your thinking.​

Answers

Answer:

PEMDAS

Step-by-step explanation:

Well, I don't know if there should be a picture of the problem that should go with the question. But a trick for solving distributive property is to use the trick PEMDAS In order.

For Example:

P-Paraenthese

E-Exponent

M-Multiply

D-Divide

A-Add

S-Subtract

NOTE!

Remember to always Multiply and divide BEFORE adding and subtracting.

Hoped this helped!

g Suppose you are rasterizing a triangle with vertices (1, 1), (5, 1), and (2, 9), and the intensity values (e.g., redness) of those vertices are 5, 9, and 14, respectively. Using the linear interpolation scheme, what is the intensity value of an interior point at (3, 5)? Show all your work.

Answers

Answer:

6.333

Step-by-step explanation:

Our triangle vertices are

(1,1)(5,1)(2,9)

We are to perform interpolation at point(3,5)

x and y values are interpolated

On vertices (5,1)(2,9)

x = 3

x1 = 5

X2 = 2

Y1 = 1

Y2 = 9

Formula for interpolation

Y = [y1+(x-x1)(y2-y1)]/x2-x

Y = 1+(3-5)(9-1)/2-5

Y = 1+[-2*8/-3]

Y = 1+16/3

From here we use use LCM to get:

19/3 = 6.333

Who’s good at 11 grade math pleasee help me comment o this :(

Answers

Im in 10th but I take advanced courses :)

please help asap :)​

Answers

The answer to this question is “No”

A cash register contains q quarters. Write an algebraic expression that represents the total amount of money (in dollars).

Answers

Answer:

0.25q

Step-by-step explanation:

A cash register is a machine used in small business that sums, display and records the total amount made by each sale. A cash register also has a drawer which is used to store money.

A quarter is a coin in the United States which is 25 cents.

Converting 25 cents to dollars:

100 cents = $1

25 cents = 25 cents × $1 / 100 cent = $0.25

The total amount of money registered = number of quarters × $0.25

The total amount of money registered = q × $0.25 = 0.25q

light travels 3 x 10^5 kilometers in one second. how far does it travel in 7.6 seconds?

Answers

Answer:

1800000 kilometers

Step-by-step explanation:

i think im not 100% sure

1. A = {2, 4, 6, 8, 10), B = {1,2,3,4,5,6,7,8,9,10}
Find A UB and An B.
(7​

Answers

Answer:

AUB=2,4,6,8,10 & AnB=1,3,5,7,9

what Mitochondria of a
of a cell

Answers

Answer:

membrane-bound cell organelles

8 groups of ___ hundredths is 0.32

Answers

Answer:

the answer is 0.4 The reason is because 0.4 x8=0.32

Step-by-step explanation:

Which is equal to 0.63?

Answers

Answer:

63%

Step-by-step explanation:

A percentage is x/100.  So 0.63 = x/100.  So multiply by 100, and you'll get 63%.

0.63 is equal to 63%. When finding the percentage of a decimal multiply by 100. Therefore, 0.63 x 100 equals 63%•

0.63 x 100 = 63%

How many 2/3 cup servings are in 28/3 cups of yogurt

Answers

The answer fam is..... 14

Question 3 options: If 2y+13=y+5 then 2y + 1 = 3y + ___. What number would go in the blank? If you continued to solve, would y = - 14? state either yes or no

Answers

Answer:

Step-by-step explanation:

Given the expression 2y+13=y+5

To get the value of y, we willow the following steps:

Subtract 2y to both sides:

2y+13-2y = y+5-2y

13 = -y+5

subtract 5 from both sides:

13-5 = -y+5-5

8 =  -y

-y = 8

multiply both sides by -1

-(-y) = -8

y = -8

Hence the value of y = -8 not -14

So NO,if you continue to solve, y would not be -14

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