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lisabon 2012 [21]
2 years ago
13

Given the triangle below, find the length of ZY. round your answer to the nearest tenth

Mathematics
1 answer:
anastassius [24]2 years ago
6 0
I can’t see the picture it’s blurry
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A study claims that college students spend an average of 4 hours or less studying per day. A researcher wants to check if this c
kirill115 [55]
<h2>Answer with explanation:</h2>

Let \mu be the population mean.

By observing the given information, we have :-

H_0:\mu\leq4\\\\H_a:\mu>4

Since the alternative hypotheses is left tailed so the test is a right-tailed test.

We assume that the time spend by students per day is normally distributed.

Given : Sample size :  n=121 , since n>30 so we use z-test.

Sample mean : \overline{x}=3.15

Standard deviation : \sigma=1.2

Test statistic for population mean :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

\Rightarrow\ z=\dfrac{3.15-4}{\dfrac{1.2}{\sqrt{121}}}\\\\\Rightarrow\ z=-7.79166666667\approx-7.79

Critical value (one-tailed) corresponds to the given significance level :-

z_{\alpha}=z_{0.1}=1.2816

Since the observed value of z (-7.79) is less than the critical value (1.2816) , so we do not reject the null hypothesis.

Hence, we conclude that we have enough evidence to accept that the college students spend an average of 4 hours or less studying per day.

4 0
3 years ago
Solve the system of equations below by graphing both equations with a
Marat540 [252]
Graph using slope and the y intercept

So y=x+5
You would plot the y intercept (0,5) and then go up 1 and to the right 1

The next graph plot y intercept (0,-1) and then go down 2 and to the right 1

And should look like the image

And your solution should be (-2,3) which is option c

4 0
3 years ago
2. What is the product of 4 2/3 and 11 1/4?
Lerok [7]
4 \frac{3}{4} ~*~ 11\frac{1}{4} =  \frac{14}{3} ~*~ \frac{45}{4} =  \frac{630}{12}=52 \frac{6}{12}  =[52 \frac{1}{2} ]
3 0
3 years ago
The elephants at the zoo eat 3 2/3 buckets of bananas each day. The zookeeper bought 7 1/3 buckets of bananas. How many days wil
uranmaximum [27]

Answer: 2 days

Step-by-step explanation:

The monkeys eat 3 ²/₃ buckets of bananas each day. Convert this to an improper fraction:

= 3²/₃ = 11/3 buckets per day

The zookeeper bought 7¹/₃ which is:

= 22/3 buckets

To find out the number of days the bananas will last, divide the buckets bought by the buckets eaten per day:

= 22/3 ÷ 11/3

= 22/3 * 3/11

= 66/33

= 2 days

<em>If dividing fractions, multiply by the reciprocal of the second fraction. </em>

7 0
3 years ago
! PLEASE HELP QUICKLY !
Travka [436]

Answer:

see below

Step-by-step explanation:

y= 1/2x - 2

To find the x intercept, set y =0 and solve for x

0= 1/2x - 2

Add 2 to each side

2 = 1/2x -2+2

2 = 1/2x

Multiply by 2

2*2 = 1/2x *2

4 =x

The x intercept is 4

3 0
3 years ago
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