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kicyunya [14]
3 years ago
8

Renting roller blades costs a flate fee of $5 plus an additional $2.50 per hour. Write a linear equation that models this.

Mathematics
1 answer:
Kobotan [32]3 years ago
4 0

Answer:

Linear equation : y = 2.50h + 5

Step-by-step explanation:

Given that:

Fee for renting roller blades = $5

Per hour charges = $2.50

Let,

h be the number of hours roller blades were rented

y be the total amount

Total amount = Per hour charges * Number of hours + Flat fee

y = 2.50h + 5

Hence,

Linear equation : y = 2.50h + 5

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1. Two triangles have the following pairs of congruent sides: BD = FJ, DG = JM, and
allsm [11]

Answer:

BDG≅FJM

Step-by-step explanation:

we know that

If two triangles are congruent, then their corresponding angles and corresponding sides are congruent

so

In this problem we have that

BD≅FJ ----> BD and FJ are corresponding sides

DG≅JM ---> DG and JM are corresponding sides

GB≅MF ---> GB and MF are corresponding sides

∠B≅∠F ----> ∠B and ∠F are corresponding angles

∠D≅∠J ---> ∠D and ∠J are corresponding angles

∠G≅∠M ---> ∠G and ∠M are corresponding angles

therefore

BDG≅FJM

6 0
4 years ago
According to a study done by Wakefield Research, the proportion of Americans who can order a meal in a foreign language is 0.47.
UNO [17]

Answer:

Probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is 0.19766.

Step-by-step explanation:

We are given that according to a study done by Wake field Research, the proportion of Americans who can order a meal in a foreign language is 0.47.

Suppose a random sample of 200 Americans is asked to disclose whether they can order a meal in a foreign language.

<em>Let </em>\hat p<em> = sample proportion of Americans who can order a meal in a foreign language</em>

The z-score probability distribution for sample proportion is given by;

          Z = \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion

p = population proportion of Americans who can order a meal in a foreign language = 0.47

n = sample of Americans = 200

Probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is given by = P( \hat p > 0.50)

  P( \hat p > 0.06) = P( \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } > \frac{0.5-0.47}{\sqrt{\frac{0.5(1-0.5)}{200} } } ) = P(Z > 0.85) = 1 - P(Z \leq 0.85)

                                                               = 1 - 0.80234 = <u>0.19766</u>

<em>Now, in the z table the P(Z  </em>\leq <em>x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.85 in the z table which has an area of 0.80234.</em>

Therefore, probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is 0.19766.

4 0
4 years ago
Slope of M(-2, 3), N(7 -4)
Mila [183]

Answer:

-\frac{7}{9}

Step-by-step explanation:

We find slope by; change in y ÷ change in x,

Change in y = -4 - 3 = -7

Change in x = 7 - - 2 = 9

Slope of line MN = -7 ÷ 9 = -\frac{7}{9}

8 0
4 years ago
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