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Naily [24]
3 years ago
11

The total cost of a new autombile, including a 4% sales tax on the price of the automobile, is $28,835. how much of the total co

st of this new automobile is sales tax?
How do I solve this problem
Mathematics
1 answer:
lara [203]3 years ago
8 0

We can write the first part of this problem as: What is 6.5% of $29,990.

"Percent" or "%" means "per 100" or "out of 100". Therefore

6.5 hope this helps (:

%

can be written as

6.5

100

.

When dealing with percentages the word "of" means the product of or to multiply.

Let's call the sales tax amount we are looking for

s

.

We can now write the problem as:

s

=

6.5

100

×

$

29990

s

=

$

194935

100

s

=

$

1949.35

The sales tax on the car is: $1,949.35.

The total price of the car is then:

$

29

,

990.00

+

$

1

,

949.35

=


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3;5 = 6;10

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4 years ago
A photoconductor film is manufactured at a nominal thickness of 25 mils. The product engineer wishes to increase the mean speed
Natali [406]

Answer:

t=\frac{1.17-1.04}{\sqrt{\frac{0.11^2}{8}+\frac{0.09^2}{8}}}}=2.587  

df=n_{1}+n_{2}-2=8+8-2=14

Since is a one sided test the p value would be:

p_v =P(t_{(14)}>2.587)=0.0108

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, we have enough evidence to reject the null hypothesis on this case and the 25 mil film have a mean greater than the 20 mil film so then the claim is not appropiate

Step-by-step explanation:

Data given and notation

\bar X_{1}=1.17 represent the mean for the sample 1 (25 mil film)

\bar X_{2}=1.04 represent the mean for the sample 2 (20 mil film)

s_{1}=0.11 represent the sample standard deviation for the sample 1

s_{2}=0.09 represent the sample standard deviation for the sample 2

n_{1}=8 sample size selected for 1

n_{2}=8 sample size selected for 2

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

t would represent the statistic (variable of interest)

p_v represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if reducing the film thickness increases the mean speed of the film, the system of hypothesis would be:

Null hypothesis:\mu_{1} \leq \mu_{2}

Alternative hypothesis:\mu_{1} > \mu_{2}

If we analyze the size for the samples both are less than 30 so for this case is better apply a t test to compare means, and the statistic is given by:

t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}} (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other".

Calculate the statistic

We can replace in formula (1) the info given like this:

t=\frac{1.17-1.04}{\sqrt{\frac{0.11^2}{8}+\frac{0.09^2}{8}}}}=2.587  

P-value

The first step is calculate the degrees of freedom, on this case:

df=n_{1}+n_{2}-2=8+8-2=14

Since is a one sided test the p value would be:

p_v =P(t_{(14)}>2.587)=0.0108

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, we have enough evidence to reject the null hypothesis on this case and the 25 mil film have a mean greater than the 20 mil film so then the claim is not appropiate

4 0
3 years ago
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