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Vikki [24]
3 years ago
12

The Budget Car Rental rates for renting a car for a day is shown in the table.

Mathematics
1 answer:
mezya [45]3 years ago
5 0

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

According to given information,

a.) Initial cost of renting car (y - intercept (b)) = the total cost when the distance travelled = 0

that is :

  • blank - 1 : $ 100

b.) rate of change = slope

  • \dfrac{y2 - y1}{x2 - x1}

  • \dfrac{105 - 100}{100 - 0}

  • \dfrac{5}{100}

  • \dfrac{1}{20}

  • blank - 2 : \dfrac{1}{20}

c.) Let's

  • y = mx + c

and according to above data :

  • y = C

  • x = d

  • m = 1/20

  • c = 100

so, the required equation is :

  • c =  \dfrac{1}{20} d + 100

put this equation in blank - 3 ~

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What is the solution to the equation? X minus 19 equals 1
algol [13]

Answer:

x=20

Step-by-step explanation:

x-19=1

x=1+19

x=20

4 0
3 years ago
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The U.S. Bureau of Labor Statistics reports that 11.3% of U.S. workers belong to unions (BLS website, January 2014). Suppose a s
vitfil [10]

Answer:

There is not enough evidence to support the claim that union membership increased.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 400

p = 11.3% = 0.113

Alpha, α = 0.05

Number of women belonging to union , x = 52

First, we design the null and the alternate hypothesis

H_{0}: p = 0.113\\H_A: p > 0.113

The null hypothesis sates that 11.3% of U.S. workers belong to union and the alternate hypothesis states that there is a increase in union membership.

Formula:

\hat{p} = \dfrac{x}{n} = \dfrac{52}{400} = 0.13

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

Putting the values, we get,

z = \displaystyle\frac{0.13-0.113}{\sqrt{\frac{0.113(1-0.113)}{400}}} = 1.073

now, we calculate the p-value from the table.

P-value = 0.141636

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to support the claim that union membership increased.

5 0
3 years ago
3. One method you can use to determine whether a triangle is a right triangle, given three side lengths, is to apply the Convers
babymother [125]
Sin < C =  63/65    so m < C =  75.75 degrees

and tan B = 16/63  so m <B =  14.25 degrees

m < C + m<B = 75.75 + 14.25  = 90 degrees

Therefore m < A   = 180-90 = 90


therefore the triangle is right-angled.
4 0
4 years ago
Suppose f(x)=2x-5 and g(x)=|-3x-1|. <br> Find the following value. G(2)-f(0)=
Misha Larkins [42]

Hello!

To find the value of of g(2) - f(0), we need to substitute "2" into g(x), and "0" into f(x).

This is how it would look after substituting: f(0) = 2(0) - 5 and g(2) = |-3(2) - 1|. Also, since the expression says we are subtracting f(x), the entire equation becomes negative: -f(0) = -(2(0) - 5).

With that, we can solve for the final value.

|-3(2) - 1| + -(2(0) - 5) (multiply)

|-6 - 1| + -(0 - 5) (use the distributive property)

|-6 - 1| + 5 (simplify)

|-7| + 5 (simplify the absolute value of -7)

7 + 5 = 12

Therefore, g(2) - f(0) is equal to 12.

4 0
3 years ago
An oak tree is planted when it is 650 centimeters tall. What is this height in meters?
Mashutka [201]

Answer:

It is 6.5 meters

The centimeter practical unit of length for many everyday measurements. A centimeter is equal to 0.01(or 1E-2) meter.

7 0
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