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Cerrena [4.2K]
2 years ago
6

Layla has $2 worth of dimes and quarters. She has 6 more dimes than quarters. By

Mathematics
1 answer:
fredd [130]2 years ago
3 0

Answer:

Layla has 4 quarters and 10 dimes

Step-by-step explanation:

A quarter each is 25 cents. And a dime each is 10 cents. counts from 10 10 times and then add 25 4 times and you get 200 which is 2 dollars. Example: 10 20 30 40 50 60 70 80 90 100 with 10 dimes alone that's a dollar 4 quarters equal another dollar so both of those equal 2 dollars. Layla had 4 dimes and 4 quarters when she added 6 more dimes it all equaled 2 dollars. Hopefully this makes sense.

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A manufacturer of nails claims that only 4% of its nails are defective. A random sample of 20 nails is selected, and it is found
irakobra [83]

Answer:

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

Step-by-step explanation:

A manufacturer of nails claims that only 4% of its nails are defective.

At the null hypothesis, we test if the proportion is of 4%, that is:

H_0: p = 0.04

At the alternative hypothesis, we test if the proportion is more than 4%, that is:

H_a: p > 0.04

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

4% is tested at the null hypothesis

This means that \mu = 0.04, \sigma = \sqrt{0.04*0.96}

A random sample of 20 nails is selected, and it is found that two of them, 10%, are defective.

This means that n = 20, X = 0.1

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.1 - 0.04}{\frac{\sqrt{0.04*0.96}}{\sqrt{20}}}

z = 1.37

P-value of the test and decision:

Considering an standard significance level of 0.05.

The p-value of the test is the probability of finding a sample proportion above 0.1, which is 1 subtracted by the p-value of z = 1.37.

Looking at the z-table, z = 1.37 has a p-value of 0.9147

1 - 0.9147 = 0.0853

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

7 0
3 years ago
Read 2 more answers
(0, -2) is a solution of the equation 2x - 3y = 6. true or false
lisov135 [29]

Answer:

It is a solution of the ordered pair.

Step-by-step explanation:

The y intercept is (0,-2)

5 0
3 years ago
What’s the answer??????
Fofino [41]

Answer:

2x=34+56

x=90÷2

therefore x=45

6 0
3 years ago
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Ms. Bell's mathematics class consists of 12 sophomores, 8 juniors, and 9 seniors. How many different ways can Ms. Bell create a
shtirl [24]

Answer:

792

Step-by-step explanation:

It's a combination question. The order is of no consequence. Also the fact that there are juniors and seniors is not important either.

So the answer is

12C5

12!

====

(12 - 5)! * 5!

12 * 11 * 10 * 9 * 8

==============

5 * 4 * 3 * 2 * 1

792

7 0
3 years ago
Triangle ABC has been reflected over the x-axis to create triangle A'B'C'. Which of the following statements is true?
Leto [7]

Answer:

A ' = (-2, -3)

B ' = (0, -3)

C ' = (-1, 1)

=======================================================

Explanation:

To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.

Algebraically, the reflection rule used can be written as

Applying this rule to the three given points will mean....

Point A = (-2, 3) becomes A ' = (-2, -3)

Point B = (0, 3) becomes B ' = (0, -3)

Point C = (-1, -1) becomes C ' = (-1, 1)

The diagram is provided below.

Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.

Step-by-step explanation:

7 0
2 years ago
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