Answer:
yes
Step-by-step explanation:
yes
The CEO of a large electric utility claims that more than 75 percent of his customers are very satisfied with the service they receive. To test this claim, the local newspaper surveyed 100 customers, using simple random sampling. Among the sampled customers, 77% say they are very satisfied. We want to decide if the 77% is enough evidence to lead us to accept or reject the CEO’s claim?
Answer:
[tex]z=\frac{0.77-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}=0.462[/tex]
Now we can find the p value using the alternative hypothesis with this probability:
[tex]p_v =P(z>0.462)=0.322[/tex]
Since the p value is large enough, we have evidence to conclude that the true proportion for this case is NOT significanctly higher than 0.75 since we FAIL to reject the null hypothesis at any significance level lower than 30%
Step-by-step explanation:
Information provided
n=100 represent the random sample selected
[tex]\hat p=0.77[/tex] estimated proportion of students that are satisfied
is the value that we want to test
z would represent the statistic
[tex]p_v[/tex] represent the p value
System of hypothesis
We want to verify if more than 75 percent of his customers are very satisfied with the service they receive, then the system of hypothesis is.:
Null hypothesis:[tex]p\leq 0.75[/tex]
Alternative hypothesis:[tex]p > 0.75[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing the info given we got:
[tex]z=\frac{0.77-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}=0.462[/tex]
Now we can find the p value using the alternative hypothesis with this probability:
[tex]p_v =P(z>0.462)=0.322[/tex]
Since the p value is large enough we have evidence to conclude that the true proportion for this case is NOT significanctly higher than 0.75 since we FAIL to reject the null hypothesis at any significance level lower than 30%
Write parametric equations of the line 2x - y = 3.
a. X = 1, y = 2t - 2
c.
X = 1, y = 3t-2
b. X= 1, y = 2t-3
d.
1
1
X = 1,y= =
2
1.9 -
3
Please select the best answer from the choices provided
A
OB
С
OD
Uta invests an amount into a compound interest investment account that pays 6% a year. After six years, she withdraws her
total balance of $500. Using the formula A - P(1 + r), how much money did Uta initially invest?
$180.00
$320.00
$352.48
$471.70
Answer:
$352.48
Step-by-step explanation:
500 = P(1+6/100)^6
500 = P(1.141851912)
P = 500 / 1.1418519112 = 352.48
Calculate the volume of the pyramid.
4cm
Base = 35cm
Enter your math answer
Answer:
V = 46.67cm²
Step-by-step explanation:
[tex]V=\frac{lwh}{3}[/tex] Use this equation to find the volume of the pyramid
[tex]V=\frac{35*4}{3}[/tex] Multiply in the numerator
[tex]V=\frac{140}{3}[/tex] Divide
V = 46.67cm²
If this answer is correct, please make me Brainliest!
Giving brainliest for CORRECT awnser.
Answer:
C
Step-by-step explanation:
Answer:
C. (2x+3)(x+5)
Step-by-step explanation:
We need to use FOIL for this
First
Outer
Inner
Last
Let's see the answers of our options:
A. (2x+1)(x+15) = 2x²+30x+x+15 = 2x²+31x+15
B. (2x+15)(x+1) = 2x²+2x+15x+15 = 2x²+17x+15
C. (2x+3)(x+5) = 2x²+10x+3x+15 = 2x²+13x+15
D. (2x+5)(x+3) = 2x²+6x+5x+15 = 2x²+11x+15
Only option C simplifies to 2x²+13x+15
Maggie is rock climbing. After reaching the summit, she descends 14 feet in 2 1/3 minutes. If she continues at this rate, where will Maggie be in relation to the summit after 8 minutes?
Answer:
about 27.42
Step-by-step explanation:
f a triangle has a side length of 10, 12 and 15 units respectively, what type of triangle is it acute right obtuse or no solution
Answer:
Acute.
Step-by-step explanation:
Using the Triangle Inequality Theorem you know that the sum of the lengths of two sides of a triangle are greater than the length of the third side.
Using this we can narrow it down that this DOES have a solution, since 10+12>15.
Now, we can determine if this triangle is a right triangle using the Pythagorean Theorem. C is the longest length.
If c^2= a^2+b^2, then it is a right triangle.
If c^2< a^2+b^2 then it is an acute triangle.
If c^2>a^2+b^2 then it is an obtuse triangle.
We can now substitute. (A and B are interchangeable, but C is the longest length.
A=10
B=12
C=15
A^2=100
B^2=144
C^2=255
We can now figure out that this triangle is acute because A^2+ B^2 (244) < C^2 (255).
Hope this helps!
You ordered some eatables. If c represents
the cost of one cookie and p is the cost of one
pizza. Write an expression for the total cost
of 14 cookies and 10 pizzas.
I
Answer:
Total Cost = 14c + 10p
Step-by-step explanation:
Answer:
14c+10p= the total cost
what is the area of a circle with the equation (x − 6)² + (y + 2)² = 17 ?
Answer:
17π
Step-by-step explanation:
Equation of a circle is:
(x − h)² + (y − k)² = r²
Area of a circle is:
A = πr²
r² = 17, so A = 17π.
you know I'm ballin usual like Kobe
Answer:
miss him :(
Step-by-step explanation:
Answer:
:( RIP
Step-by-step explanation:
Math Help!!! ASAP!! I will give you brainliest!!
Answer:
Step-by-step explanation:
true true false
what is
225x2 + 4 = 0
la respuesta es 454 espero que te haya ayudado aunque sea un poquito :D
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. Of the 28 tires surveyed, the mean lifespan was 46,300 miles with a standard deviation of 9,800 miles. Using alpha = 0.05, is the data highly consistent with the claim? Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)
Answer:
[tex]z=\frac{46300-50000}{\frac{9800}{\sqrt{28}}}=-1.998[/tex]
Now we can calculate the p value using the alternative hypothesis with this probability:
[tex]p_v =P(z<-1.998)=0.0229[/tex]
The p value for this case is significantly lower than the value of [tex]\alpha=0.05[/tex] so then we can reject the null hypothesis at this signficance level and we have enough evidence to conclude that the true mean for the deluxe tire is less than 50000 and the claim is not correct.
Step-by-step explanation:
Information given
[tex]\bar X=46300[/tex] represent the sample mean for the lifespans
[tex]\sigma=9800[/tex] represent the population standard deviation
[tex]n=28[/tex] sample size
[tex]\mu_o =50000[/tex] represent the value to verify
[tex]\alpha=0.05[/tex] represent the significance level
z would represent the statistic
[tex]p_v[/tex] represent the p value
System of hypothesis
The idea for this case is verify if the deluxe tire averages at least 50,000, so then the system of hypothesis are:
Null hypothesis:[tex]\mu \geq 50000[/tex]
Alternative hypothesis:[tex]\mu < 50000[/tex]
We know the population deviation so then the correct test stattistic would be:
[tex]z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}[/tex] (1)
Replacing the info given we got:
[tex]z=\frac{46300-50000}{\frac{9800}{\sqrt{28}}}=-1.998[/tex]
Now we can calculate the p value using the alternative hypothesis with this probability:
[tex]p_v =P(z<-1.998)=0.0229[/tex]
The p value for this case is significantly lower than the value of [tex]\alpha=0.05[/tex] so then we can reject the null hypothesis at this signficance level and we have enough evidence to conclude that the true mean for the deluxe tire is less than 50000 and the claim is not correct.
SOLVE 3/4 +(1/3/1/6) -(1/2)
Answer:9/4
Step-by-step explanation:
3/4 + (1/3/1/6) - (1/2)
3/4 + (1/3 ➗ 1/6) - 1/2
3/4 + (1/3 x 6/1) - 1/2
3/4 + ((1x6)/(3x1)) - 1/2
3/4 + (6/3) - 1/2
3/4 + 2 - 1/2
(3+8-2)/4
9/4
Consider that point A is reflected across the x-axis. What is the distance between point A and the point of its reflection?
Answer:
It would be 2 x the absolute value of the y coordinate.
Step-by-step explanation:
Example:
(5,-3)
Absolute value of y-coordinate is 3 and distance would equal 2 x 3 = 6 units apart.
A particular paper included the accompanying data on the tar level of cigarettes smoked for a sample of male smokers who subsequently died of lung cancer.
Assume it is reasonable to regard the sample as representative of male smokers who die of lung cancer.
Is there convincing evidence that the proportion of male smoker lung cancer deaths is not the same for the four given tar level categories at the Alpha = .05 level? (Use 2 decimal places.)
Tar Level Frequency
a. 0-7 107
b. 8-14 375
c. 15-21 500
d. 22 181
x2 =
Answer:
Check the explanation
Step-by-step explanation:
[tex]H_0[/tex]:proportion of male smoker lung deaths is same for the four given tar level categories.
[tex]H_1[/tex]:proportion of male smoker lung deaths is not the same for the four given tar level categories.
Expected frequency=1177/4=294.25
Tar level Observed Freq.(O) Expected Freq.(E) (O-E)^2/E
0-7 107 294.25 120.435
8-14 375 294.25 5.643
15-21 553 294.25 227.533
>=22 183 294.25 42.061
Total= 1177 1177 395.673
Total chi square score=395.673
df=4-1=3
p-value=CHIDIST(395.673,3)<0.001
p-value<0.001,Reject null hypothesis.
There is sufficient evidence that the proportion of male smoker lung deaths is not the same for the four given tar level categories.
Write a recursive formula to describe the sequence: 1, 3, 7, 13...
Answer:
f(n) = f(n - 1) + 2(n - 1) for n [tex]\geq[/tex] 1
Step-by-step explanation:
There are 5 slices of pepperoni pizza, 1 slice of sausage pizzá, and 3 slices of cheese pizza left at the pizza party. Without looking, Amy took a slice of pizza, ate it, and then took another slice. What is the probability of Amy eating two slices of cheese pizza?
Answer:
3/8
Step-by-step explanation:
add 5+1+3=9
and there is 3 cheese pizza so its 3 over 8.
Answer:
3/9
Step-by-step explanation:
How do you describe the translation (x, y) → (x + 3, y - 7) in words?
Answer:
You move right 3, and down 7
The vertices of a quadrilateral are M(-4,2), N(6,2), P(6, -4), and Q(-4,-4). graph the quadrilateral. Then find the perimeter and area.
im timed and need help please THIS IS MY LAST EXAM
Answer:
P=32
A=60
Step-by-step explanation:
If you ever need to graph something quickly I recommend using Desmos (it's an online graphing calculator).
The sides end up looking like this: [tex]l=10, w=6[/tex]
Perimeter is [tex]2l+2w=2(10)+2(6)=20+12=32[/tex]
Area is [tex](10)(6)=60[/tex]
good luck!
Find the volume of the prism shown below if the height is 3 inches
How am I supposed to be able to answer a question without the info
Answer:
Find the volume of the prism shown below if the height is 3 inches.
Step-by-step explanation:
The design for a playground is represented on the coordinate plane below, where the units are in yards.
A fence will be built around the perimeter of the entire playground.
How many yards of fencing will be needed to build the fence?
Answer:
The perimeter of the field is 21 yards
Step-by-step explanation:
See attachment 1 for the coordinates plane.
The question is best solved using an attachment.
To calculate the perimeter of the fence, we simply add the sides of the rectangle.
Attachment 2 is a labelled diagram of attachment 1.
From 2, we have that
Perimeter = A + B + C + D + E + F
Where A to F represent the length of each sides of the fence
From coordinates geometry,
A = 5
B = 4
C = 6½
D = 1½
E = 1½
F = 2½
So,
Perimeter = 5 + 4 + 6½ + 1½ + 1½ + 2½
Perimeter = 21
Hence, the perimeter of the field is 21 yards
Tuli is 10 years younger than Emily. The product of their
ages 2 years ago was 39. Let the present age of Emily
be A. Which of the following quadratic equations does A
satisfy?
Answer:
a² - 14a - 15 = 0 (quadratic equation)
Emily's age = 15 years
Tuli's age = 15 - 10 = 5 years
Step-by-step explanation:
let
Emily age = a
Tuli age = a - 10
Two years ago their ages will be as follows.
Emily's age = a - 2
Tuli's age = a - 10 - 2 = a - 12
The product of their ages 2 years ago is 39.
(a - 2)(a - 12) = 39
a² - 12a - 2a + 24 - 39 = 0
a² - 14a - 15 = 0 (quadratic equation)
To get a
a² + a - 15a - 15 = 0
a(a + 1) - 15(a + 1)
(a + 1)(a - 15)
a = -1 or 15
we can only use 15 as it is positive.
Suppose that there is a 6-sided die that is weighted in such a way that each time the die is rolled, the probabilities of rolling any number from 1 to 5 are equal, but the probability of rolling a 6 is twice the probability of rolling a 1. What are the probabilities of the 6 outcomes? What is the probability that the first roll will be an odd number and the second roll will be an even number?
Answer:
Probabilities:
1-5:1/7
6: 2/7
Probability of even number: 4/7
Probability of odd number: 3/7
Step-by-step explanation:
We are told that the probability in each throw is as follows. Probability of getting 1 to 5 is the same and the probability of 6 is twice the probability of getting 1. Let us call c the probability of having a 1. So, the probability of having 2,3,4,5 is also c. In this case, the probability of having 6 is 2*c. Since all of this outcomes are mutually exclusively, then we must have the following
[tex] c+ c + c+ c +c + 2c = 1= 7c[/tex](since the probabilities of mutually exclusive events that cover all outcomes of the experiment must add to 1)
This implies that [tex]c = \frac{1}{7}[/tex]. Then, the probability of having a 6 is 2/7 and to have any other number is 1/7.
Each roll is independent of each other, so the probability of having an odd or even number doesn't depend of the other trials.
To calculate the probability of having an even number, we add the probabilties of getting a 2,4,6. In this case, that is 1/7+1/7+2/7 = 4/7. To calculate the probability of an odd number we add the probabilities of 1,3,5 which 1/7+1/7+1/7 = 3/7.
Find the value of each unknown variable in the given figures ?
10) a. 130
Step-by-step explanation:
[tex]180 - 50 = 130[/tex]
what is the solution to this system?
Uma atleta percorreu cinco oitavos de uma pista e ainda precisa percorrer 75 quilômetros para completar seu percurso . Quantos quilômetros a atleta percorrerá no total?
Answer:
The athlete will run 200 kilometers.
A atleta percorrerá 200 quilômetros no total.
Step-by-step explanation:
She will run x kilometers.
She has already run 5/8 of the distance(5/8 of x), and still needs to run 75 kilometers.
So
[tex]\frac{5x}{8} + 75 = x[/tex]
[tex]x - \frac{5x}{8} = 75[/tex]
[tex]\frac{8x - 5x}{8} = 75[/tex]
[tex]3x = 8*75[/tex]
[tex]x = \frac{8*75}{3}[/tex]
[tex]x = 200[/tex]
The athlete will run 200 kilometers.
A atleta percorrerá 200 quilômetros no total.
Let P(-6,4) be a point on a rectangle PQRS. What are the coordinates of P if the rectangle is dilated by a scale factor of 3/8?
Answer:
(-2.25, 1.5)
Step-by-step explanation:
If dilation is about the origin, each of the coordinates is multiplied by the dilation factor:
P' = (3/8)P = 3/8(-6, 4) = (-18/8, 12/8)
P' = (-2.25, 1.5)
The driveway in front of the brown house is 35 feet long and the driveway in front of the red house is 7 yards, 9 feet long. Which house has the long driveway and by how much? *
Brown house driveway; larger by 30 feet
Red house driveway; larger by 7 feet
Brown house driveway; larger by 5 feet
They are both equal.
Answer:
Brown house driveway; larger by 5 feet
Step-by-step explanation:
Lets convert yds to ft
We know 3 ft = 1yd
3*7 = 21
so 7yds = 21 ft
Add the 9 ft
7yds 9ft = 21+9 = 30 ft
The house with the 35 ft driveway is longer by (35-30) or 5 ft
A car travel 65kms from A to B in 70 minutes and 80 km from B to C in 75 minutes.
Find the average speed in km/h of the car for the whole journey?
Answer:
60 km/h
Step-by-step explanation:
The car has traveled a total distance of 65+80 = 145 km in 70+75 = 145 minutes. Then the average speed is ...
speed = distance/time = (145 km)/(145 min)·(60 min/h) = 60 km/h
The average speed for the journey is 60 km/h.
