Answer:
h(x)=x2−19 and g(x)=x2
Step-by-step explanation:
A soft-drink machine is regulated so that the amount of drink dispensed is approximately normally distributed with known standard deviation, sigma. Given a random sample of n drinks and the sample mean, x-bar, you find a 90% confidence interval for the mean of all drinks dispensed by this machine. Then you calculate a 90% confidence interval (same confidence level) using a larger sample, for example (n 20) drinks. Also, you notice that the sample mean, x-bar, is the same for both samples.
Required:
Was this a reasonable decision?
Answer:
This is a reasonable decision because the sample size has no effect on the 90% confidence interval
Step-by-step explanation:
90% confidence interval
larger sample size = 20
condition : sample mean ( x-bar ) is the same for both samples
This is a reasonable decision because the sample size has no effect on the 90% confidence interval
from condition 1 :
Amount of drink dispensed is normally distributed with known standard deviation , given a random sample of n drinks and the sample mean at a confidence interval of 90%
for condition 2 :
sample size = 20
mean = 2.25 ( assumed value )
std = 0.15 ( assumed value )
Z = 1.645 ( Z-value )
determine the 90% confidence interval
= mean ± z [tex]\frac{std}{\sqrt{n} }[/tex]
= 2.25 ± 1.645 [tex]\frac{0.15}{\sqrt{20} }[/tex]
= 2.25 ± 0.0335 = ( 2.2835 , 2.2165 )
If x = 7 units and h = 4 units, then what is the area of the triangle shown above?
A.
28 square units
B.
42 square units
C.
14 square units
D.
8 square units
Answer:
c.14
Step-by-step explanation:
(area of triangle is 1/2*base*height) which is 0.5*7*4=14
Answer:
The answer is 14 square units because you have to multiply the height from the base and divide by 2.
Given the equitation 3x+6x=30. What is the slope and y intercept.
Answer:
slope-5/3-1 2/3
y-intercept=-2
Step-by-step explanation:
hope that helps if correct please mark as brainliest thank you
19NBoli
Alexander order 24 dozen eggs for her restaurant 8 of the eggs arrived broken how many unbroken eggs this year received
Answer:
4 eggs
Step-by-step explanation:
What is the total deposit on the deposit slip below?
To make purple paint you must mix 3 cups of blue paint with 2 cups of red paint. Sally plans to use 9 cups of blue paint in her batch of purple paint. Which proportion could be used to find out how much red paint Sally will need to make purple paint?
Answer:
There will need to be 6 cups of red paint.
9 : 6
Step-by-step explanation:
You tripled the size of the batch to make it nine cups of blue paint so then just mulitply 2 * 3.
Hope this helped. c:
choose the scatter plot in which the outlier is highlighted
Answer:
its the second graph top right
Step-by-step explanation:
an outlier is a point that deviates from the rest
Michelle deposited $3,400 into an account. She made no additional withdrawals or deposits. Michelle earned 1.95% annual simple
interest on the money in the account
What was the balance in her account at the end of 2.5 years?
Enter the amount in the account in the box.
$_______
Answer: 96 cents or 0.96
Step-by-step explanation:
When in a money problem like this and it is telling you to find the tax, fee, or and bonus you move the decimal in front of the number or decimal and round to the nearest penny and in this situation .195 rounds to .96
The balance in her account at the end of 2.5 year should be considered as the $3,568.
Calculation of the balance in the amount:Since deposited amount si $3,400
The interest rate is 1.95%
And, the time period is 2.5 years
So, here the balance should be like
[tex]= 3400 \times (1 + 1.95\%)^{2.5[/tex]
= $3,568
hence, The balance in her account at the end of 2.5 year should be considered as the $3,568.
Learn more about interest rate here: https://brainly.com/question/24002393
what is the answer for this? Select all the fractions that are equivalent to 45. Use the area models to help.
Answer: bro you have to submit a picture or some more information baceuse nobody will be able to answer your question with only one number (45)
Step-by-step explanation:
what is 11% tax of $180.85
Answer:
$182.88
Step-by-step explanation:
Factor out completely the quadratic function : NEED THIS ASAP WILL GIVE BRAINLIEST
Answer:
Here is your answer
Step-by-step explanation:
3.(x+3)(x+5)
4.(x-8)(x+8)
5.(x+6)^2
this question tho........... .
Answer:
Step-by-step explanation:
[tex]5\sqrt[3]{x+8}=35\\ \\ \sqrt[3]{x+8}=7\\ \\ x+8=7^3\\ \\ x+8=343[/tex]
What is the first step you would take to solve the equation shown? n/4 - 4 = -12. Add 4. Subtract 4. Multiply by 4. Divide by 4 WHO EVER ANSWERS I WILL MARK BRAINLIEST
Answer:
Divide by 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
Fractions can get messy.
I like to clear fractions, so I would multiply both sides by 4
n - 16 = -48 multiple by 4
n = -48 + 16 add 16 to both sides
n = -32 collecting terms
Find the lateral surface area of
the following cylinder:
r = 5 cm
5 cm
LSA= [ ? ]n cm?
Leave your answer in terms of T.
Enter the number that goes in the green box.
Answer:
50π cm²
Step-by-step explanation:
Lateral surface area of a cylinder is the area surrounding curved surface of the cylinder
Thus:
Lateral surface area of the cylinder = 2πrh
Where,
r = 5 cm
h = 5 cm
Plug in the values
Lateral Surface Area = 2*π*5*5
= 50π cm²
What is the measure of angle ACB?
Answer: 48
Step-by-step explanation:
Felicia wants to solve the equation below. 77=11z What should she do to both sides of the equation to determine the value of z?
Help for brainliest!
Answer:
I believe it's d but I could be wrong but I'd try it
you purchase 2 bottles of sunscreen and a hat. the hat cost $6.50. You pay 6% sales tax you pay a total of $16.43. How much does one of the bottles of sunscreen cost
Answer: 1 bottle costs 4.50
Step-by-step explanation:
100(16.43/106)= 15.5
2x+6.50=15.50
Math hard
Question: Which of the following number sentences is an example of the commutation property of multiplication?
A:27+3=3+27
B:4x5=10x2
C:18x1=1x18
D:2x(9x14)=(2x9)x14
Answer:
C:18x1=1x18
when multiplying 2 numbers, the result is the same in either order.
PLEASE SOMEONE HELP ME
Answer:
Step-by-step explanation:
First of all, you have to find which trig function it is
Sin,Cos,Tan,
In this case it is tan because tan is used when you have a opposite side and an adjacent side to solve for as well as with an angle.
Now you write it as [tex]tan 5 = 4.6/x[/tex]
then just solve for x and there you go. It's simple math to solve for that.
A circular path 3 feet wide has an inner diameter of 750 feet. How much farther is it around the outer edge of the path than around the inner edge? Round to nearest hundredth. Use 3.14 for π.
The outer edge of the path is --------- feet farther around than the inner edge.
Answer:
18.84
Step-by-step explanation:
On hrw
Triangle KLM is similar to triangle NOP. Find the measure of side NO. Round your
answer to the nearest tenth if necessary.
M
P Р
O
1
23
51.6
38
N
Answer:
[tex]NO= 31.2[/tex]
Step-by-step explanation:
See attachment for triangle
From the attachment, we have:
[tex]KL = 51.6[/tex]
[tex]LM= 38[/tex]
[tex]OP = 23[/tex]
Required
Find NO
This will be calculated using the following equivalent ratios:
[tex]NO : OP = KL : LM[/tex]
This gives:
[tex]NO : 23= 51.6: 38[/tex]
Express as fraction
[tex]\frac{NO }{ 23}= \frac{51.6}{ 38}[/tex]
Make NO the subject
[tex]NO= \frac{51.6}{ 38} * 23[/tex]
[tex]NO= \frac{51.6* 23}{ 38}[/tex]
[tex]NO= \frac{1186.8}{ 38}[/tex]
[tex]NO= 31.2[/tex] --- approximated
Answer:
x≈ 16.9
Step-by-step explanation:
Which of the following shows the greatest percent increase?
A. 50 increased to 75
B. 500 increased to 700
C. 5,000 increased to 7,000
D. 50,000 increased to 74,000
Find the length of the third side. If necessary, round to the nearest tenth.
16 and 12
Answer:
Third side = 3√3
Step-by-step explanation:
Apply pythagorean theorem, which is a² + b² = c²
Where,
a = ?
b = 3
c = 6
Substitute
a² + 3² = 6²
a² = 6² - 3²
a² = 27
a = √27
a = √(9 × 3)
a = 3√3
can someone help me with this (will give brainliest)
please view the attached image
Answer:
rate: 4 rate: -2
starting: 3 starting: 30
y= -4x + 3 y= -2x + 30
rate: 2 rate: 6
starting: -4 starting: 6
y= 2x -4 y= 6x + 6
Step-by-step explanation:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
^equation to find slope
To also find b, the starting value, you need to take any point given and substitute it back into the equation with the slope.
However, these problems give you the y-int already [it is the point like (0,y)]
7-3/1-0 = 4/1
rate: 4
starting: 3
y= 4x + 3
28-30/1-0= -2/1
rate: -2
starting: 30
y= -2x + 30
-2 - (-4)/1-0 = 2/1
rate: 2
starting: -4
y= 2x -4
6-0/1-0 = 6/1
rate: 6
starting: 6
y= 6x + 6
Can you help me find the area?
Answer:
52.72m
Step-by-step explanation:
half-circles)
[tex]c = \pi {r}^{2} \\ c = 3.14 \times 16 = 50.24 \div 2 = 25.12[/tex]
rectangle)
[tex]4 \times 6 = 24[/tex]
triangle)
[tex] {3}^{2} + {2}^{2} = {c}^{2} \\ 9 + 4 = 13 \\ \sqrt{13} = 3.6[/tex]
Add everything-
[tex]3.6 + 25.12 + 24 = 52.72[/tex]
Help me with this geometry
Answer:
x = 11.2
Step-by-step explanation:
Since, ΔPQR ~ ΔVST,
By the property of similar triangles, corresponding sides of these triangle will be proportional.
[tex]\frac{PQ}{VS}=\frac{QR}{ST}[/tex] ---------(1)
Since, scale factor = [tex]\frac{\text{Dimension of the image figure}}{\text{Dimension of the original}}[/tex]
[tex]\frac{2}{5}[/tex] = [tex]\frac{PQ}{VS}[/tex]
Therefore, from equation (1)
[tex]\frac{2}{5}=\frac{x}{28}[/tex]
x = [tex]\frac{28\times 2}{5}[/tex]
x = 11.2
In Mr.Wilson's math class the average of the 20 test scores that was 82. When the top 5 scores were eliminated, the average of the remaining scores was 78. What was the average of the top 5 scores that were eliminated
Answer:
82, 81, 80, 79, 78
Step-by-step explanation:
I dont know if this will help but hope it does
Answer:
vgfvxdvcvsdvcvdbxvbvdvxfvwcvtgrvfrwevtfcrdsvgvferfdvfecdfdvgtvtfgcevgbtrvthytrjgrvhc
Step-by-step explanation:
Evaluate the expression x^3+x^2 for x=4
Answer: 15
Step-by-step explanation:
Answer:80
Step-by-step explanation:
4^3+4^2=80
Help please with this
Answer:
Step-by-step explanation:
the solution is b