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BlackZzzverrR [31]
3 years ago
12

Keisha has a total of 90 coins all of which are either dimes or quarters the total value of the coins is $13.50 find the number

of each type of coin​
Mathematics
1 answer:
OLga [1]3 years ago
5 0
1 dime and 14 quarters
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A random sample of 64 second-graders in a certain school district are given a standardized mathematics skills test. The sample m
svet-max [94.6K]

Answer:

Given : The sample mean score is 51.48 .

            The standard deviation for the population of test scores is 15.

             The nationwide average score on this test is 50.

To Find :  Perform the hypothesis test and compute the P-value?

Solution:

Sample size = n = 64

Since n > 30

So, we will use z test over here

We are supposed to find The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average.

Hypothesis : H_0:\mu \leq 50\\H_a:\mu>50

Formula of z test : z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

x = 51.48\\\mu = 50\\\sigma = 15\\ n = 64

Substitute the values

z =\frac{51.48-50}{\frac{15}{\sqrt{64}}}

z =0.789

Find the value of P(z) from z table

p(z)=0.7823

Since we are given that we are supposed to find The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average.

So, p value = 1-P(z)  = 1-0.7823=0.2177

In general , Level of significance is 0.05

So, p value is greater than alpha.

So, we accept the null hypothesis.

5 0
3 years ago
Read 2 more answers
Two​ trains, Train A and Train​ B, weigh a total of 489 tons. Train A is heavier than Train B. The difference of their weights i
makvit [3.9K]

Answer:

Weight of Train A = 454 tons

Weight of Train B = 35 tons

Step-by-step explanation:

It is given that:

Let,

A represent weight of Train A

B represent weight of Train B

According to given information:

A + B = 489      Eqn 1

A - B = 419       Eqn 2

Adding Eqn 1 and 2

A + B + A - B = 489 + 419

2A = 908

Dividing both sides by 2

\frac{2A}{2}=\frac{908}{2}\\A = 454

Putting A = 454 in Eqn 1

454 + B = 489

B = 489 - 454

B = 35

Therefore,

Weight of Train A = 454 tons

Weight of Train B = 35 tons

5 0
2 years ago
PLEASE HELP
Mumz [18]
If you use/make a number line, then you will see that the answer is -18 or a. When using a number line, negative = ← and positive = →.
6 0
3 years ago
A rectangle's length is twice its width. if the perimeter is 66 cm find the width of the rectangle
Lesechka [4]
Perimeter = 2L + 2W

Let x = width and let 2x = length 

Perimeter = 66

2x + 2(2x) = 66

2x + 4x = 66 --> 6x = 66 --> x = 66/6 --> x = 11

The width of the rectangle is 11 cm.

6 0
3 years ago
I need help finding x ASAP!!!!!!!!
grandymaker [24]
Heyy, the answer is 65 degrees if you don’t get it i can explain it to you!!
7 0
3 years ago
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