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Alja [10]
3 years ago
7

frank is buying a couch for his new apartment. the couch costs d dollars, and the sale tax is 8%. Select all of the following th

at correctly describe the total amount he will pay.
Mathematics
1 answer:
givi [52]3 years ago
6 0

Answer:

Step-by-step explanation On the first day of Christmas my true love sent to me love me:

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A psychologist obtains a random sample of 2020 mothers in the first trimester of their pregnancy. The mothers are asked to play
leva [86]

Answer:

First of all, we need to determine the system of hypothesis, which must have a null and alternative hypothesis.

In all hypothesis proof procedure, we must work with the null one, rejecting it or accepting it. If we reject the null hypothesis, it will mean that our principal hypothesis is true.

According to the problem, the null hypothesis must be: H_{o} : u = 100; because it says that 100 is the normal mean that is used.

The alternative hypothesis must be: H_{a} : u > 100; because the question is asking if there's enough evidence to say that they children have a higher IQ than 100.

Then, we must calculate the P-value, which is the probability value that we are gonna use to accept or reject the null hypothesis. This P-value we can calculate it with the formula: Z=\frac{x-u}{\frac{o}{\sqrt{n} } }; where x is the sample mean, u is the hypothetical mean parameter, o is the sample deviation and n is the sample.

Extracting all values from the problem: x = 104.3; u = 100; o = 14 and n = 20.

Applying all values to the formula: Z=\frac{104.3 - 100}{\frac{14}{\sqrt{20} } } = \frac{4.3}{\frac{14}{ 4.5} }=\frac{4.3}{3.1}=1.4

Then, this Z-value will give us the P-value by using the Z-table with the 0.05 level of significance. In table attached, we can see that the result is 0.9265. However, the P-value is 1 - 0.9265 = 0.735. We need to do this subtraction because, the result 0.9265 belong to the bigger area (as it's shown is the image in blue colour), and we need the smaller area, which belong to the 0.05 level of significance.

<em>In this problems, if the P-value is more than the level of significance, the null hypothesis is accepted. If the P-value is less than the level of significance the null hypothesis is rejected.</em>

Therefore, there is no enough evidence to say that the sample children have higher IQs, because the P-value is higher than the level of significance. (0.735>0.05).

5 0
3 years ago
If you left $25.00 on your table for a $21.50 meal, what was the percent of the tip?
Nesterboy [21]

Answer: 3.5% with a 3.50 Tip

Reason: 25.00 - 21.50 = 3.50

4 0
3 years ago
Read 2 more answers
The total cost to go horseback riding is x dollars per hour plus a $3 fee for renting a helmet. Write an expression to represent
solniwko [45]

The answer is 15x + 15

Each person needs to pay x dollars per hour, and also 3 dollars for a helmet

Let us convert this into a pseudo-expression:

1 person = (x dollars) x (y hours) + 3 dollars

Now, it says that there are 5 people, so we need to multiply both sides by 5

5 people = 5 x (x dollars) x (yhours) + 3 x 5 dollars

Furthermore, it says that each person wants to go horseback riding for 3 hours:

5 people = 5(x dollars) x (3 hours) + 15 dollars

Now, we just need to convert this into an expression

5 people = 5(x)(3) + 15

5 people = 15x+15

They want the expression for cost, so we just need to give them

15x + 15

5 0
3 years ago
What is the factorization of the trinomial below? -X^2 - 2x + 48
raketka [301]

Answer:

<h3><em><u>I</u></em><em><u> </u></em><em><u>think</u></em><em><u> </u></em><em><u>option</u></em><em><u> </u></em><em><u>C</u></em><em><u>.</u></em></h3>

<em><u>(</u></em><em><u>x-6</u></em><em><u>)</u></em><em><u> </u></em><em><u>(</u></em><em><u>x-8</u></em><em><u>)</u></em><em><u>.</u></em>

3 0
3 years ago
Read 2 more answers
What are the values of a and b
nikdorinn [45]
A= 58°B= 83° because you add the straight angle which is 90 plus the other number and subtract it by 180 because a triangle has 180°
7 0
3 years ago
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