Answer:
Step-by-step explanation:
No solution; 3x+y-1 =/ 0
 Mrs. Lee earned a $3,000 bonus at work. She will use $1,737 of it to replace her water heater. If she wants to divide the rest of the bonus evenly between her 3 children, how much will each child receive?
Answer: 421
Step-by-step explanation:
Subtract 3,000 by 1,737 and the product of that divided by 3 which will give you 421
The perimeter of the rectangle is 104 ft.
2x+4
X
What is the length and width
Answer:
x=16ft 2x+4=36
Step-by-step explanation:
perimeter o rectangle=2(l+b)
2(2x+4+x)=104
4x+8+2x=104
x=16ft,2x+4=36ft
Drawing 2 cards that are all 2from a deck of cards
Answer:
the likely hood of that happening is the amount of that deck of cards by 2 so 52/2 could be your answer so yeah
Nancy bought a new rectangular rug for her kitchen. The rug measures 2 feet by 2 feet. What is the area of the rug?
A. 4 3/4
B. 5 1/2
C. 5 3/4
D. 9 1/2
Answer: 5.5 or 5 1/2.
Step-by-step explanation:
Which angles are congruent to each other?
Answer:
5 and 7
Step-by-step explanation:
5 and 7 are vertical angles. The others are supplementary
please help solve this math question
Answer:
4# | 267
Step-by-step explanation:
There are 3 numbers in the 40's in the data:
42, 46 and 47.
what number correctly completes the following probability distribution for the number of boys in a family of 3 children?
3 boys = 0.125
2 boys = 0.375
1 boy = 0.375
0 boys = ?
Answer: 0.125
Step-by-step explanation:
Add up the probabilities in the other ones and subtract that sum by 1, since 0 boys is out remaining answer
Find the diameter of O o. A line that appears to be tangent is tangent. 14 25
Answer:
•SEE BELOW•Let the diameter be represented as x.
Let the diameter be represented as x.Based on the secant-tangent theorem, the following equation representing the relationship between the segments would be:
segments would be:(14 + x)(14) = 25^2
segments would be:(14 + x)(14) = 25^2196 + 14x = 625
segments would be:(14 + x)(14) = 25^2196 + 14x = 625Subtract 196 from each side
14x = 625 - 196
14x = 625 - 19614x = 429
Divide both sides by 14
Divide both sides by 14x = 429/14
Divide both sides by 14x = 429/14x = 30.6
Divide both sides by 14x = 429/14x = 30.6Diameter = 30.6
HOPE THIS HELPS!MARK AS BRAINLIAST.Devi rides the bus to her grandmother’s house every day. She tracked how many minutes the bus rides took for one week:
Calculate the mean, median, range, and midrange of the bus ride times for a week.
Answer:
Noone can answer it if you dont give us the numbers
Step-by-step explanation:
A recent survey found that 5% of the population of the United States is unemployed. If Charlotte, North Carolina, has 30,850 unemployed, what is the population of Charlotte?
The population of Charlotte, North Carolina is approximately_____?
Answer:
617000
Step-by-step explanation:
Division reverses multiplication.
If the total population of Charlotte which we'll call 'x' follows
x * 0.05 = 30850, then
30850 / 0.05 = x
x = 617000
The slopes of perpendicular lines are ___ ___of each other, which means their products is -1.
A. fractional reciprocals
B. negative reciprocals
C. positive reciprocals
Answer:
Negative Reciprocals
Step-by-step explanation:
Consider two slopes being perpendicular to each other:
[tex]\displaystyle \large{m_1\cdot m_2=-1}[/tex]
You will either receive:
[tex]\displaystyle \large{m_1=-\dfrac{1}{m_2}}[/tex]
or:
[tex]\displaystyle \large{m_2=-\dfrac{1}{m_1}}[/tex]
Say, you want to find perpendicular slope of 4. You have first slope as 4 and another as unknown which is assigned as m variable:
[tex]\displaystyle \large{4m=-1}\\\displaystyle \large{m=-\dfrac{1}{4}}[/tex]
Therefore, 4 and -1/4 are perpendicular to each other. See that one slope is positives while another is negative. If you have negative slope then the perpendicular slope is positive.
Hence, they are indeed reciprocal but also negative as well.
Find a bank account balance if the account starts with $100, has an annual rate of 4%, and the money is left in the account for 12 years.
For this question, I solve Q.1, but I cannot solve Q2.
Q1. Suppose that the balance of a person’s bank account in Superior, WI is normally distributed with mean $580 and standard deviation $125. Find the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents.
Q2. For the same setup as in Problem 2, find the probability a random person from
Superior has less than $400 or more than $1000 in their bank account.
The amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx. The probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex])
then it can be converted to standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
[tex]P(Z \leq z) = P(Z < z) )[/tex]
Also, know that if we look for Z = z in z tables, the p-value we get is
[tex]P(Z \leq z) = \rm p \: value[/tex]
Let we take:
X = The balance of a person’s bank account in Superior, WI
Then, by the given data, we have:
[tex]X \sim N(\mu = 580, \sigma = 125)[/tex]
Let the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents be X = x dollars. This is the money, below which lie 80% of Superior, WI residents, and so as their income, or values of X.
Symbolically, we have:
[tex]P(X < x) = 80\% = 0.8[/tex]
Converting X to standard normal variate Z, we have:
[tex]Z = \dfrac{X - \mu}{\sigma} = \dfrac{X - 580}{125}\\[/tex]
Thus, the probability statement can be rewritten as:
[tex]P(X < x) =0.8\\P\left( Z < z = \dfrac{x -580}{125} \right) = 0.8[/tex]
From the z-tables, the value of Z for which the p-value comes out as between 0.84 and 0.85, let it be their average 0.845.
Thus, we get:
[tex]P(Z < z = 0.845) \approx 0.8[/tex]
Thus, we get:
[tex]z = \dfrac{x - 580}{125} \approx 0.8\\\\x \approx 0.8 \times 125 + 580 = 680[/tex]
Thus, the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx.
Now, for second question, we need:
The probability a random person from Superior has less than $400 or more than $1000 in their bank account.
So, income of a random person from Superior is a random value of X.
So, this probability is written as:
[tex]P(400 < X < 1000)[/tex]
Rewritting it, we get:
[tex]P(400 < X < 1000) = P(X < 1000) - P(X \leq 400)[/tex]
Converting X to Z (standard normal variate), we get:
[tex]P(400 < X < 1000) = P(X < 1000) - P(X \leq 400)\\\\P(400 < X < 1000) = P\left(Z < \dfrac{1000-580}{125} \right) - P\left(Z \leq \dfrac{400-580}{125} \right)\\\\P(400 < X < 1000) = P( Z \leq 3.36) - P(Z \leq -1.44)[/tex]
The p-value for Z = 3.36 is 0.9996
The p-value for Z = -1.44 is 0.0749
Thus, we get:
[tex]P(400 < X < 1000) = P( Z \leq 3.36) - P(Z \leq -1.44)\\\\P(400 < X < 1000) = 0.9996 - 0.0749 = 0.9247[/tex]
Thus, the probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247
Thus, the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx. The probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247
Learn more about z-score here:
https://brainly.com/question/21262765
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Somebody please help me
Answer:
your answer will be a right
Step-by-step explanation:
Question 1
Suppose a person is standing on the top of a building and that she has an instrument that allows her to
measure angles of depression. There are two points that are 100 feet apart and lie on a straight line that is
perpendicular to the base of the building. Now suppose that she measures the angle of depression from the
top of the building to the closest point to be 35.5º and the angle of depression from the top of the
building to the furthest point to be 28.8º. Determine the height of the building. (Round your answer to the
nearest tenth of a foot.)
Answer:
239.8 feet to the nearest tenth.
Step-by-step explanation:
We have 2 right triangles one inside the other.
Let the height of the builing be x ft and the distance from foot of thebuiding to the closest point be y feet.
So we have the system:
tan 28.8 = x/(y + 100)
tan 35.5 = x/y
From second equation:
x = tan35.5 y
Sustituting in the first equation:
tan 28.8 = tan35.5 y / (y + 100)
tan35.5 y = tan 28.8 y + 100 tan 28.8
y(tan35.5 - tan28.8) = 100 tan 28.8
y = 100 tan 28.2 / (tan35.5 - tan28.8)
y = 336.16 ft
So x = height of the buiding = tan35.5 * 336.16
= 239.78 ft.
The average weight of an adult black bear is 4.35 x102 pounds.
This is 15 times as much as Shaneen's dog weighs.
What is the weight of Shaneen's dog?
Answer: B (2.9 x 10)
Step-by-step explanation: (4.35 x 10^2)/15 = 29 = 2.9 x 10
(b) The greatest four-digit number made with the digits 1, 0, 9, 2 is divided by the smallest three-digit number made with 1, 9, 2. Find the quotient and the remainder.
Answer:
Quotient = 70
Remainder = 50
Step-by-step explanation:
The greatest number you can make is 9210, the smallest 3-digit number is = 129.
9210 / 129 = 71 with 50 left
so:
70 is the quotient and 50 is the remainder
80 people enter a single-elimination chess tournament. (If you lose one game, you're out.) Assuming no ties occur, what is the number of games required to determine the tournament champion?
Answer:
Forty games
Step-by-step explanation:
80 ÷ 2 = 40
40 games are required
help omggg help omgg
Answer:
Θ = 84°
Step-by-step explanation:
using the identity
cosx = sin(90 - x) , then
cos6° = sin(90 - 6)° = sin84°
that is Θ = 84°
The table below lists four potential investments. The time for all of the investments is 5 years, and compound interest is compounded annually.
Which investment produces the most interest?
Answer:
Investement P
Step-by-step explanation:
how to solve 3x+4y=36
y=-1/2x+8
Answer:
x = 4
y = 6
Step-by-step explanation:
3x + 4y = 36 ⇒ ( 1 )
y = - 1/2x + 8 ⇒ ( 2 )
( 2 ) × 2
2y = -x + 16 ⇒ ( 3 )
2y + x = 16
x = 16 - 2y ⇒ ( 4 )
Let us replace x with ( 16 - 2y ) and the value of y.
For that, let us use the equation (1).
3x + 4y = 36
3 ( 16 - 2y ) + 4y = 36
48 - 6y + 4y = 36
48 - 2y = 36
48 - 36 = 2y
12 = 2y
Divide both sides by 2.
6 = y
Now let us replace y with 6 and find the value of x.
For that let us use equation 4.
x = 16 - 2y
x = 16 - 2 × 6
x = 16 - 12
x = 4
What is the perimeter of a sandbox thats 60 inches wide and 125 inches long
Answer:
370 inches
Step-by-step explanation:
To find the perimeter of a figure, you need to add all sides together.
60 + 60 + 125 + 125 = ?
60 + 60 = 120
125 + 125 = 250
120 + 250 = 370 inches
10. Cindy is wrapping a birthday present for her sister. The present is in a 10 points
box that has a length of 10 in, a width of 6 in and a height of 4 in. If the
wrapping paper costs $0.25 per square inch, how much would it cost to
wrap Cindy's present? *
Answer:
$648
First find the surface area, and then multiply that by 12 for the inches, then multiply that by the cost
Answer:
$62
Step-by-step explanation:
First find the surface area of the box: 2(lw+lh+wh) = 2(60 + 40 +24) = 124(2) = 248
Now create a ratio to find the total cost:
[tex]\frac{0.25}{1} = \frac{x}{248}[/tex]
Solve for x by cross multiplying -
x=62
What is the normal approximation for pi?
Answer:
Most people use 3 or 3.14
2/5 = 1/2x how would i solve this
[tex]\dfrac 25 = \dfrac 12 x\\\\\implies x = \dfrac{2 \times 2 }5 = \dfrac 45[/tex]
find the area of the polygon
Answer:
D. 984
Step-by-step explanation:
The are of the trapozoid is 1/2(B1+B2)+h
3d + d what do i put this is Confusing
Answer:
4d
Step-by-step explanation:
i think any variable alone with no coefficient equals one
so this problem is like adding the terms 3d + 1d
so 1+3=4
and you use the variable d at the end
therefore the answer would be 4d
hope this helped<3
Answer:
4d
Step-by-step explanation:
3d+d this means 3d+1d because any variable without a coefficient is 1
which means
3d+1d
=4d
hope this helps!!!
Dulce got a $25 gift card to a clothing store. She
uses the gift card to buy a shirt for $14.99. She also
wants to use the gift card to buy some socks. Each
pair of socks costs $2.49.
Which of these inequalities describe this situation,
where s is the number of socks Dulce can buy?
A) 14.99 + 2.49s < 25
B) 14.99 + 2.49s > 25
C) 14.99
2.49s < 25
D) 14.99 – 2.49s > 25
Answer:
A.
Step-by-step explanation:
Answer A. It works because the pairs of socks for 2.49 each and the 14.99 shirt need to be less than 25.
Solve by finding all roots. x4 + 4x3 + 4x2 + 4x + 3 = 0
[tex]~~~~x^4+4x^3 +4x^2 +4x +3=0\\\\\implies x^4 +x^3 +3x^3 + 3x^2 +x^2+x+3x+3=0\\\\\implies x^3(x+1) +3x^2(x+1) + x(x+1) +3(x+1)=0\\\\\implies (x+1) (x^3+3x^2 +x +3)=0\\\\\implies (x+1) \textbf{[} x^2(x+3)+(x+3)\textbf{]}=0\\\\\implies (x+1)(x+3)(x^2+1)=0\\\\\implies x = -1 ,~~ x = -3,~~ x = \pm i[/tex]
Finish the polynomial by adding one number to make it a perfect square
x^2+18x+
Answer:
81
Step-by-step explanation:
[tex] {x}^{2} + 18x + {(( \frac{1}{2})(18)) }^{2} [/tex]
[tex] {x}^{2} + 18x + {9}^{2} [/tex]
[tex] {x}^{2} + 18x + 81[/tex]
[tex] {(x + 9)}^{2} [/tex]