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3 years ago

10

A computer technician charges $75 for a consultation plus $35 per hour. The computer technician charges Bob $250. How many hours

did the technician work for? *

2 answers:

kakasveta [241]3 years ago

5 0

He worked for 5 hours

Hoochie [10]3 years ago

4 0

Athe answer is 5 hours

Step-by-step explanation:

that is because first u have to take 250 and subtract it by the consultation fee and then u divide by 35 which gives u the amount of hours.

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A sphere has a radius of 4 inches. What is the surface area of the smallest cube that could circumscribe the sphere?

vovikov84 [41]

Answer:

$SA=384\ in^2$

Step-by-step explanation:

we know that

The smallest cube that could circumscribe the sphere has a length side equal to the diameter of the sphere

In this problem

The radius of the sphere is $r=4\ in$

The diameter of the sphere is two times the radius

$D=2r=2(4)=8\ in$

so

The length side of the cube is

$b=8\ in$

Remember that

The surface area of a cube is equal to the area of its six faces

so

$SA=6b^2$

substitute the value of b

$SA=6(8)^2$

$SA=384\ in^2$

6 0

3 years ago

I need help please i’ll give a brainliest to the person who has the correct answer

Vikentia [17]

Answer:

It should be <u>35.4</u>

Step-by-step explanation

Because 35 degrees makes a right triangle

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3 years ago

An automobile manufacturer who wishes to advertise that one of its models achieves 30 mpg (miles per gallon) decides to carry ou

Katyanochek1 [597]

Answer:

$t=\frac{29.35-30}{\frac{1.365}{\sqrt{6}}}=-1.17$

$p_v =P(t_{(5)}$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.

We can say that at 5% of significance the true mean is not significantly less than 30 so then the claim that true average fuel efficiency is (at least) 30 mpg makes sense

Step-by-step explanation:

Data given and notation

The mean and sample deviation can be calculated from the following formulas:

$\bar X =\frac{\sum_{i=1}^n x_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)}{n-1}}$

$\bar X=29.35$ represent the sample mean

$s=1.365$ represent the sample standard deviation

$n=6$ sample size

$\mu_o =30$ represent the value that we want to test

$\alpha=0.05$ 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 the true mean is lower than 30 or no, the system of hypothesis are :

Null hypothesis: $\mu \geq 30$

Alternative hypothesis: $\mu < 30$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

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

$t=\frac{29.35-30}{\frac{1.365}{\sqrt{6}}}=-1.17$

P-value

We need to calculate the degrees of freedom first given by:

$df=n-1=6-1=5$

Since is a one-side left tailed test the p value would given by:

$p_v =P(t_{(5)}$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.

We can say that at 5% of significance the true mean is not significantly less than 30 so then the claim that true average fuel efficiency is (at least) 30 mpg makes sense

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3 years ago

Express the statement "A rectangular field with an area of 120m' has it length 12mn longer than the width" as quadratic equation

navik [9.2K]

Answer:

The quadratic equation is x^2 -12x -120 = 0

where x represents the length of the field

Step-by-step explanation:

We want to make an expression in terms of a quadratic equation;

Let the length of the field be x mm , then the width will be (x-12) mm

Mathematically , the area of the field will be L * B

Thus;

x * (x-12) = 120

That gives;

x^2 -12x = 120

x^2 -12x -120 = 0

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ArbitrLikvidat [17]

Answer:

That would be option C.

Step-by-step explanation:

I literally just took the quiz and got it right.

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