Using the z-distribution, we have that:
a)
The hypothesis test is:
[tex]H_0: \mu = 7.4[/tex][tex]H_1: \mu < 7.4[/tex]The p-value is of 0.0668.
The critical value is [tex]z^{\ast} = -1.28[/tex]
b) Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.
Item a:
At the null hypothesis, it is tested if the mean is of 7.4 minutes, that is:
[tex]H_0: \mu = 7.4[/tex]
At the alternative hypothesis, it is tested if the mean is lower than 7.4 minutes, that is:
[tex]H_1: \mu < 7.4[/tex]
We have the standard deviation for the population, hence, the z-distribution is used.
The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36[/tex].
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}[/tex]
[tex]z = -1.5[/tex]
Using a z-distribution calculator, the p-value is of 0.0668.
Also using a calculator, considering a left-tailed test, as we are testing if the mean is less than a value, the critical value with a significance level of 0.1 is of [tex]z^{\ast} = -1.28[/tex].
Item b:
Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.
You can learn more about the use of the z-distribution to test an hypothesis at https://brainly.com/question/16313918
PLS HELP I WILL GIVE BRAINLYEST
Use the number line to find the distance between -10 and -4.
Enter your answer in the box.
units
Answer:
6
Step-by-step explanation:
evaluate 3d/2a, when d=4 and a = -1
Answer:
ok
Step-by-step explanation:
deposited $7,500 into a savings account 5 years ago. The simple interest rate is 2%. How much money did earn in interest?
Answer:
$750
Step-by-step explanation:
simple interest equation is:
I (interest) = P (principal) x R (interest rate, as a decimal) x T (time, in years)
I = 7500 x .02 x 5
I = 750
Write the equation of the line that is perpendicular to y=3x-6 and passes through the point
x, y
(2,0)
Perpendicular is the negative reciprocal so the slope is -1/3
Need to know b and the full equation
With work please. Thank you!
Answer:
y=-1/3x+2/3 (please mark brainliest)
Step-by-step explanation:
start with y=3x+6
you can get the slope of the perpendicular line by dividing the slope by -1,
so the slope of the new line is -1/3.
using the point and the slope of the new line, we can put it into point-slope form:
y-y₁=m(x-x₁)
y-0=-1/3(x-2)
simplify:
y=-1/3x+2/3
this is the final equation in the form y=mx+b
(ANSWER QUICK!!!) Put the following values in order from least
to greatest.
20, 2-2, (-2)2, -22
Answer:
-22,(-2)2,2-2,20
Step-by-step explanation:
(-2)2=-4
2-2=0
-22,-4,0,20
Answer:
-22,(-2)2,2-2,-20
Step-by-step explanation:
7 1/2- 3 7/10 or Seven and a half subtract three and seven tenths.
Answer:
3.8 is the answer to your problem. Happy Holidays!
4.
ind
home
Julio won a contest. His cash prize is given to him in the following way:
On the first day, Julio will receive $0.25.
For each successive day, the amount of money Julio receives doubles.
a. Write an explicit formula to represent the amount of money, f (d), in dollars, Julio receives d days after the first day.
b. How much money will Julio receive on the tenth day?
Julio will receive $ 128 on the tenth day.
Given that Julio won a contest, and his cash prize is given to him in the following way: On the first day, Julio will receive $ 0.25, and for each successive day, the amount of money Julio receives doubles, to determine an explicit formula to represent the amount of money, f (d), in dollars, Julio receives d days after the first day, and determine how much money will Julio receive on the tenth day, the following calculations must be performed:
0.25 x 2 ^ D = F 0.25 x 2 ^ 9 = F 0.25 x 512 = F 128 = F
Therefore, Julio will receive $ 128 on the tenth day.
Learn more about maths in https://brainly.com/question/15983813
Form 8B were investigating how a metal bar expands while being heated. The bar
was originally 30 cm in length and it expanded to 31.75 cm.
Calculate the percentage increase in length. Give your answer correct to 1 decimal
place.
Answer:
5.8%
Step-by-step explanation:
to work out percentage increase:
(new value - original value) ÷ original value and times it all by 100
((31.75-30) ÷ 30) × 100
=5.8% (1dp)
3/5 x (1/5 + 4/5) What is the answer
Answer:
The answer is 0.6
Step-by-step explanation:
Estimate and solve 2,352 ÷ 4 =
Answer
588 is the exact answer. Which is about 590 or 600.
Step-by-step explanation:
Point slope form question
How would I turn (2,-5) (-3, 10) into a point slope equation?
Answer:
y+5=-3(x-2)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(10-(-5))/(-3-2)
m=(10+5)/-5
m=15/-5
m=-3
y-y1=m(x-x1)
y-(-5)=-3(x-2)
y+5=-3(x-2)
How I can answer this question, NO LINKS, If you answer correctly I'll give u brainliest
Answer:A and D
Step-by-step explanation:
4*5r=20r
4*15t=60t
20*r = 20r
20*3t=60t
Darla ran 1/2 mile. Laura ran 5/8 mile. How many miles did they run altogether?
Answer:
1 1/8 mile
Step-by-step explanation:
when it says altogether most of the time you're supposed to add.
When you add fractions you need to have both denominator (number below the line) be the same. and sense 1/2 and 4/8 are equal we will replace it.
you add the numerators (top numbers) and keep the denominator (bottom number)
[tex]\frac{4}{8} + \frac{5}{8} = \frac{9}{8} =1\frac{1}{8}[/tex]
Sense the numerator is bigger you subtract the bottom number from the top number and put a 1 in front of the fraction.
Your class is learning to tie knots. Each student needs a piece of rope that is 3/6 yard long how many yards of rope are needed for the 16 students in your class.
Therefore, the class will need 8 yards.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
HURRY QUCIK
Drag the tiles to the boxes to form correct pairs.
Match the pairs of equivalent expressions.
Answer:
Step-by-step explanation:
100 POINTS!! ANSWER ASP THANKS
There can be no more than 835 people in the concert hall. What inequality represents the number of people, p, allowed in the concert hall? Drag and drop the appropriate symbol to correctly complete the inequality. p (Answer) (835
Recap: There can be no more than 835 people in the concert hall. What inequality represents the number of people, p, allowed in the concert hall? Drag and drop the appropriate symbol to correctly complete the inequality. (p [ ] 835
> < ≤ ≥
Answer: P≥835
Answer: Your Answer Is p≥835 i took the quiz
Step-by-step explanation:
i really need help... factor by the simplest form 46xy^5
The radius of a circle is 4.2 m. Find the circumference to the nearest tenth.
what is _ percent of 100 is 14
Answer:
It should be 14 percent.
Step-by-step explanation:
14 percent is just 14/100, which if you multiply by 100 gives you 14.
14%
Step-by-step explanation:
Whenever you have anything over 100 (e.g 40/100) that number is always gonna be 40. Like multiplying by 1. 9*1 is 1. Assume the 9 is 90 and assume the 1 is 100. It's always gonna be the numerator instead of the denominator.
Mark me brainliest if you can
NEED HELP LIKE, NOW!! 100 POINTS!!!
You can solve any equation in the form a(x + b) = c without writing out both steps of the two-step solution process.
a. Isolate the variable x, so that it has a coefficient of 1.
b. Use your answer to solve 4(x - 7) = 20.
Answer:
ax+ab-c=0, 12
Step-by-step explanation:
If x=1, then 4(x-7)=20
4x-28=20
add 28 on both sides
48/4=x
x=12
Answer:
this is my answer
Step-by-step explanation:
4(x-7)=20. divide both sides
x-7=5 move the constant to the right
x=5+7. calculate
so the answer is x=12
I hope it helps
A shop has a sale that offers 20% off all prices.On the final day reduce all the sale prices by 25%.Linz buys a radio on the final day.Work out the overall percentage reduction on the price of the radio
Answer:
40%
Step-by-step explanation:
Original price = x
Sale = 20% off
20% / 100 = 0.2 to convert from a percent to a decimal
Sale = x - 20% of x = x - 0.2x = 0.8x
Sale price = y = 0.8x
Reduction of sale prices = 25% = 0.25
Reduction = y - 25% of y = y - 0.25y = 0.75y
End price in terms of original price (x):
0.75y = 0.75(0.8)x
= 0.6x
End price = 0.6 or 60% of original price, coming out to a 100-60 = 40% overall percentage reduction
What is the next term of the geometric sequence?
9/4,-4/3,4
Answer:
-12
Step-by-step explanation:
To find the ration, take the second term and divide by the first term
-4/3 ÷ 4/9
Copy dot flip
-4/3 * 9/4
-3
Multiply each term by -3
4*-3 =-12
hope it helps sorry if it doesn't
what is 2x+3=4 [tex]mbjbjjnjnjknjn[/tex]
Answer:
x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
2x + 3 = 4
subtract 3 from both sides to get x by itself on the left side:
2x = 1
divide both sides by 2:
x = [tex]\frac{1}{2}[/tex]
Which is a solution to the following system of inequalities?
A. (6,6)
B. (7,8)
C. (8,7)
D. (9,7)
Answer: the answer is D
Step-by-step explanation: - 2 *9 + 3* 7 = 3
-5 *9 + 6 * 7 = - 3
And 3>1
-3<1
Please help, question in pic
Answer:
D
Step-by-step explanation:
hard to explain but when you rotate 180, you can imagine that a straight line with the center of rotation as the midpoint can be drawn between the image and preimage. you want a mapped to c and you want d mapped to b. having it rotate 180 with the center of rotation being the center of the parallelogram allows you to make those imaginary lines between a and c and d and b. hope this helps
Square of the difference of two terms
Answer:
123-23=100
100^2=100*100=10^4=10000
the weight of a chimpanzee ,y in pounds x months after birth is modeled by the equation y=1.5x+8. Which represents the equation when solved for x?
Answer:
Step-by-step explanation:
The point (-1, 5) is reflected over the y-axis. Where is the location of the new image?
(-1, -5)
(5, 1)
(1, 5)
(1, -5)
A bacterial population has an exponential growth rate of 11.2% per hour. If there were 480 bacteria initially, what would the bacterial population be after 5 hours
The number of bacterial population after 5 hours is; 816
The formula for the exponential growth of the population is;N(t) = N_o(1 + r)^(t)
Where;
N(t) is number of bacteria after t hours
N_o is number of bacteria initially
r is growth rate
t is time
We are given;N_o = 480
r = 11.2% = 0.112
t = 5
Thus;N(5) = 480(1 + 0.112)^(5)
N(5) = 816.14
Approximating to a whole number gives; N(5) = 816 bacteriaRead more about exponential growth at; https://brainly.com/question/15316908
Find the slope of the line passing through the points (-8, -3) and (-3,4).
Answer:
7/5
Step-by-step explanation:
4 + 3 = 7
-3 + 8 = 5
7/5