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madam [21]
2 years ago
13

You can rent time on computers at the local copy center for a a ​$ 7 setup charge and an additional ​$ 3.50 for every 10 minutes

. How much time can be rented for ​$ 22?
Mathematics
2 answers:
bazaltina [42]2 years ago
8 0

Answer:

The answer should round up to 40 minutes. Do it to make sure the answer is 4 which in this case = 40

Step-by-step explanation:

22 - 7 \div 3.50

mote1985 [20]2 years ago
8 0

Answer:

Computer can be rented for  42.85 minutes using $22

Step-by-step explanation:

Given:

Setup charge =  ​$ 7

Additional charge for every 10 minutes = ​$ 3.50

To find:

The time for which the computer can be rented for  ​$ 22

Solution:

Let the additional time be x

for  additional charge for 10 minutes =3.50

for 1 minute , additional charge = \frac{3.50}{10}= $0.35

According to the question

setup cahrge + additional charge= $22

7+(0.35\times x)=22

(0.35\times x)=22-7

(0.35\times x)=15

x=\frac{15}{035}

x=42.85

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solong [7]

Answer:0.2 gallons and 1.6 pints

Step-by-step explanation:

1 gallon = 8 pint

1 gallon / 5=0.2 gallon

8 pint / 5=1.6 pint

6 0
1 year ago
Add the two expressions.<br> 2x + 6 and 6.2 - 1<br> Enter your answer in the box.
madam [21]

Answer:

8x + 5

Step-by-step explanation:

By adding

2x + 6 + 6x -1

8x + 5

8 0
2 years ago
Five times what number plus 10 equals 20?
Shkiper50 [21]

Answer: 2

Step-by-step explanation: five times 2 is 10 plus 10 would equal 20

7 0
2 years ago
Read 2 more answers
fluorescent light factory that manufactures fluorescent lights that have a lifetime that is approximately normally distributed w
EastWind [94]

Answer:

The p-value obtained is greater than the significance level at which the test was performed, hence, we fail to reject the null hypothesis & say that there is enough evidence to conclude that the mean life of the fluorescent lights is 700 hours

Step-by-step explanation:

Complete Question

fluorescent light factory that manufactures fluorescent lights that have a lifetime that is approximately normally distributed with a mean of 700 hours and a standard deviation of 45 hours. Test the hypothesis that mean is 700 hours against the alternative hypothesis that the mean is not equal to 700 hours, if a random sample of 30 bulbs has an average life of 688 hours. Use a P-value in your answer.

Solution

For hypothesis testing, the first thing to define is the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, the null hypothesis is that the mean life of the fluorescent lights is 700 hours.

The alternative hypothesis will now be that the mean life of the fluorescent lights is significantly different from 700 hours.

Mathematically,

The null hypothesis is represented as

H₀: μ = 700

The alternative hypothesis is represented as

Hₐ: μ ≠ 700

To do this test, we will use the z-distribution because no information on the population standard deviation is known

So, we compute the z-test statistic

z = (x - μ₀)/σₓ

x = sample mean = 688 hours

μ₀ = 700 hours

σₓ = standard error = (σ/√n)

σ = standard deviation = 45 hours

n = Sample size = 30

σₓ = (45/√30) = 8.2158383626 = 8.216

z = (688 - 700) ÷ 8.216

z = 1.46

checking the tables for the p-value of this z-statistic

Significance level = 0.05 (This is used when significance level isn't given)

The hypothesis test uses a two-tailed condition because we're testing in two directions.

p-value (for z = 1.46, at 0.05 significance level, with a two tailed condition) = 0.14429

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05

p-value = 0.14429

0.14429 > 0.05

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & say that there is enough evidence to conclude that the mean life of the fluorescent lights is 700 hours.

Hope this Helps!!

6 0
3 years ago
What is the domain of the function y = 3 l n x graphed below? On a coordinate plane, a curve starts in quadrant 4 and then incre
VladimirAG [237]

Answer:

<h2>X greater-than 0</h2>

Step-by-step explanation:

The given function is

y=3ln(x)

Which is a logarithm function. An important characteristic of logarithms is that their domain cannot be negatice, because the logarithm of a negative number is undefined, the same happens for x=0.

Therefore, the domain of this function is all real numbers more than zero.

The image attached shows the graph of this function, there you can notice its domain restriction.

So, the right answer is the first choice: x greater than 0.

5 0
3 years ago
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