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const2013 [10]
2 years ago
5

Max has 4/5 qt of apple juice. He drinks 1/2 qt of it. How many apple juice does he have left? (Give your answer in quarts)

Mathematics
1 answer:
sp2606 [1]2 years ago
5 0

Answer:

3/10 quarts.

Step-by-step explanation:

Set the denominators equal to one another.

4/5 = 8/10 (multiplied by a factor of 2)

1/2 = 5/10 (multiplied by a factor of 5)

Subtract the 5/10 from the 8/10

3/10 qt

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A manager records the number of hours, X, each employee works on his or her shift and develops the probability distribution belo
Reika [66]

Answer:

c. 2

Step-by-step explanation:

Given : X = No. of hours worked

           No. of people work for the manager = 50

           X = 3, 4 , 5 , 6 , 7, 8

           P(X) = 0.1 , ? , 0.14 , 0.3 , 0.36 , 0.06

To Find : No. of people work for four hours

Solution : First understand the fact that sum of all probabilities is equal to 1

So, sum of all values of P(X) = 1

⇒0.1+?+0.14+0.3+0.36+0.06 = 1

⇒0.96+? = 1

⇒?= 1-0.96

⇒? = 0.04

So, the probability of no. of people worked for 4 hours is 0.04.

⇒P(4)=0.04

Thus , To calculate no. of people work for four hours :

0.04\times 50

⇒ 2 no. of people work for four hours per shift .


5 0
2 years ago
Read 2 more answers
94 POINTS!!! pls help
svp [43]

Answer:

Hey love! x = 6

Step-by-step explanation:

because 13 x 6 = 78

HOPE THIS HELPS!

7 0
2 years ago
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2 2/3 divided by 4 1/4​
viva [34]

Answer: your answer is 32/51

Step-by-step explanation:

8 0
2 years ago
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An automobile manufacturer has given its car a 46.7 miles/gallon (MPG) rating. An independent testing firm has been contracted t
erastova [34]

Answer:

z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23    

The p value would be given by:

p_v =2*P(z  

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

Step-by-step explanation:

Information given

\bar X=46.5 represent the mean

\sigma=1.1 represent the population standard deviation

n=150 sample size  

\mu_o =46.7 represent the value to verify

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean for this case is 46.7, the system of hypothesis would be:  

Null hypothesis:\mu = 46.7  

Alternative hypothesis:\mu \neq 46.7  

Since we know the population deviation the statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

Replacing we got:

z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23    

The p value would be given by:

p_v =2*P(z  

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

7 0
2 years ago
Ariel wants to write 8 entries for her blog. After 2 hours, she has 5 entries left. After 4 hours, she has 2 entries left. Which
Komok [63]
After 2 hours she wrote 3 entries.
after 4 hours she wrote 6 entries.
This means that for same period she is writing same number of entries which means her "writing speed" is constant.
that means that graph is linear function (straight line).

slope we calculate by putting coordinates of y and x of any dot on that line. we can use one of those given by text of task. (in 2 hours she wrote 3 entries)
y = k*x
k = y/x
k = 1.5

3 0
3 years ago
Read 2 more answers
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