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4 years ago

Write an expression to show how you could calculate the total amount David paid.

Mathematics

2 answers:

Viktor [21]4 years ago

8 0

Answer: Total = $100

Step-by-step explanation:

y = total amount

x = amount per hour

b = initial amount cost

m = amount of hours

y=mx +b

y = (5)(15) + (25)

y = 100

Leya [2.2K]4 years ago

7 0

Answer:total=100 hope this helps.:)

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Which of the following is the least common multiple of 24 and 36?<br><br> 6<br> 12<br> 72<br> 864

Tanzania [10]

The least common multiple of two or more numbers is the SMALLEST number by which those two or more numbers can be divided.

24 and 36
We have to find the smallest number that go into both 24 and 36
Now, I know that it is either 72 or 864 because both f these numbers are bigger than 24 and 36. Keep in mind that it has to be the smallest number possible.

72 / 24 = 3
72 / 36 = 2

So the LCM of 24 and 36 is 72

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3 years ago

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irinina [24]

Answer:45.1%

Step-by-step explanation:

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3 years ago

The annual income of Sam is Rs 43,360. What is his monthly income if he earns an equal amount every month?

tankabanditka [31]

His monthly income if he earns an equal amount every month is Rs 3,613.33

<h3>How to determine the monthly income?</h3>

The annual income is given as:

Annual income = Rs 43,360

The monthly income is calculated as

Monthly income = Annual income/Number of months

There are 12 months in a year

So, we have:

Monthly income = Rs 43,360/12

Evaluate the quotient

Monthly income = Rs 3,613.33

Hence, his monthly income if he earns an equal amount every month is Rs 3,613.33

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2 years ago

A study1 conducted in July 2015 examines smartphone ownership by US adults. A random sample of 2001 people were surveyed, and th

dusya [7]

Answer:

a) Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

b) $z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{688+671}{989+1012}=0.679$

c) $z=\frac{0.696-0.663}{\sqrt{0.679(1-0.679)(\frac{1}{989}+\frac{1}{1012})}}=1.58$

d) For this case we see that $\hat p_1 > \hat p_2$ so then the answer for this cae would men

Step-by-step explanation:

Information given

$X_{1}=688$ represent the number of men with smartphone

$X_{2}=671$ represent the number of women with smartphone

$n_{1}=989$ sample of men selected

$n_{2}=1012$ sample of women selected

$p_{1}=\frac{688}{989}=0.696$ represent the proportion of men with smartphone

$p_{2}=\frac{671}{1012}=0.663$ represent the proportion of women with smartphone

$\hat p$ represent the pooled estimate of p

z would represent the statistic

$p_v$ represent the value

Part a

We want to test if we have difference in the proportion owning a smartphone between men and women, the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

Part b

The statistic for this case is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{688+671}{989+1012}=0.679$

Part c

Replacing the info given we got:

$z=\frac{0.696-0.663}{\sqrt{0.679(1-0.679)(\frac{1}{989}+\frac{1}{1012})}}=1.58$

Part d

For this case we see that $\hat p_1 > \hat p_2$ so then the answer for this cae would men

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3 years ago

Select the correct answer. A linear function on a coordinate plane. A line passing through (1, 4), (minus 2, minus 2), intersect

Mumz [18]

Considering the given linear function, the inequality graphed is:

B. $y \geq 2x + 2$ .

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The line intersects the y-axis at 2 units, hence the y-intercept is b = 2. The function also passes through (1,4), hence the slope is:

m = (4 - 2)/(2 - 1) = 2.

Thus the equation of the line is:

y = 2x + 2.

The left-side of the line is the values above the line, hence the inequality is:

B. $y \geq 2x + 2$ .

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2 years ago