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AnnyKZ [126]
2 years ago
7

Keith rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 97 cents for each mile d

riven. Keith had to pay $137.30 when he returned the truck. For how many miles did he drive the truck? miles
Mathematics
2 answers:
MrMuchimi2 years ago
8 0

Answer:

216 miles

Step-by-step

ex15.95+.73x=173.63

.73x=173.63-15.95

.73x=157.68

x=157.68/.73

x=216 miles driven.

PROOF;

15.95+.73*216=173.63

15.95+157.68=173.63

173.63=173.63

denis23 [38]2 years ago
6 0

Answer: Keith drove the truck for 123 miles

Step-by-step explanation:

17.99+0.97m=137.30

Subtract 17.99 on both sides:

17.99-17.99+0.97m=137.30-17.99

0.97m=119.31

Divide 0.97 on both sides:

0.97m/0.97=119.31/0.97

m=123 miles

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A sample of 1200 computer chips revealed that 45% of the chips fail in the first 1000 hours of their use. The company's promotio
yaroslaw [1]

Answer:

z=\frac{0.45 -0.48}{\sqrt{\frac{0.48(1-0.48)}{1200}}}=-2.08

p_v = P(Z

So the p value obtained was a low value and using 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, and we can said that at 5% of significance the proportion of chips that fail in the first 1000 hours of their use is not significantly less than 0.48.   

Step-by-step explanation:

Data given and notation

n=1200 represent the random sample taken

\hat p=0.45 estimated proportion of chips that fail in the first 1000 hours of their use

\mu_0 =0.48 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion si less then 0.48:  

Null hypothesis:p\geq 0.48  

Alternative hypothesis:p < 0.48  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion  is significantly different from a hypothesized value .

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.45 -0.48}{\sqrt{\frac{0.48(1-0.48)}{1200}}}=-2.08

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a left tailed test the p value would be:  

p_v = P(Z

So the p value obtained was a low value and using 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, and we can said that at 5% of significance the proportion of chips that fail in the first 1000 hours of their use is not significantly less than 0.48.  

6 0
3 years ago
150 minutes per day = hours per week
RideAnS [48]
150 minutes / day for a week
= (150 minutes / day) * (7 days / week)
= 150 * 7 minutes / week
= 1050 minutes / week

(1050 minutes / week) * (1 hour / 60 minutes)
= (1050 / 60) hours / week
= (105 / 6) hours / week
= 17.5 hours / week

You could also convert to hours first. 150 minutes = 2.5 hours * 7 days = 17.5 hours per week.
4 0
2 years ago
The environmental science club is printing T-shirts for it's 15 members. The printing company charges a certain amount for each
alexandr402 [8]

Answer:

Step-by-step explanation:

Let X be the cost of each shirt. From the information provided in the problem, we can setup the following equation:

15X + 20 = 162.50

Solving for X will give us the answer:

15X = 142.50

X = 9.5

7 0
3 years ago
Combine like terms for 2z - z + 6
zzz [600]
If you combine 2z and -z you get z.
5 0
2 years ago
Can 2.5, the square root of 18 and 5 form a right triangle?
Orlov [11]

Answer:

Step-by-step explanation:

if 2.5, sqrt(18), and 5 make up the sides of a right triangle, then they must satisfy A^2+B^2=C^2, where C is the longer side (hypotenuse).

In this case, 5 is the greater of the 3, so let's see if it satisfies our equation:

2.5^2+sqrt(18)^2=5^2

-> 6.25+18 = 24.25 =/= 25

-> Therefore the answer is a resounding no.

3 0
3 years ago
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