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3 years ago

Mariah’s parents got into a car accident. They took their car to the

Mathematics

1 answer:

KatRina [158]3 years ago

5 0

Answer: The mechanics spent about 8.5 hours working on the car

Step-by-step explanation: The total bill was $637, a portion of that being getting the parts which was $280. 637-280=357

357/42=8.5

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Solve for "y" <br> 8y-4x=2

Marizza181 [45]

      -4x + 8y = 2
-4x + 4x + 8y = 2 + 4x
   8y = 4x + 2
      8    8
   y = ¹/₂x + ¹/₄

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3 years ago

Which quadrilaterals have perpendicular diagonals. A) Rhombus, Rectangle and Kite B) Rectangle, Square and Isosceles Trapezoid C

Elina [12.6K]

Answer:

C) Square, Rhombus and Kite

Step-by-step explanation:

These are due to the fact that the square has all its equal sides and is 4 sides, so its diagonals will always be perpendicular.

The rhombus also has all its equal sides and are 4 sides so its diagonals will always be perpendicular.

The kite does not have its four equal sides, but its vertices are constructed from its diagonals that cross perpendicularly, so it also meets the perpendicular diagonals

4 0

3 years ago

Read 2 more answers

A city council consists of eight Democrats and eight Republicans. If a committee of six people is selected, find the probability

saw5 [17]

Answer:

39.16% probability of selecting three Democrats and three Republicans

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the people are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes:

3 Democrats, from a set of 8.

3 Republicans, from a set of 8.

$D = C_{8,3}*C_{8,3} = (C_{8,3})^{2} = (\frac{8!}{3!5!})^{2} = 56^2 = 3136$

Total outcomes:

6 people from a set of 16.

$T = \frac{16!}{6!10!} = 8008$

Probability:

$p = \frac{D}{T} = \frac{3136}{8008} = 0.3916$

39.16% probability of selecting three Democrats and three Republicans

5 0

3 years ago

The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $3.94 (U

tekilochka [14]

Answer:

a) 25

b) 49

c) 97

Step-by-step explanation:

The sample size is calculated using the formula, n = $(\frac{\sigma\times z}{\textup{Margin of error}})^2$

Now,

for 95% confidence level value of z-factor = 1.96

Given:

Mean = $3.94

standard deviation = $0.25

thus,

a) for margin of error = $0.10

n = $(\frac{\sigma\times z}{\textup{Margin of error}})^2$

n = $(\frac{0.25\times1.96}{\textup{0.10}})^2$

n = 4.9²

n = 24.01 ≈ 25 (Rounded off to next integer)

b) for margin of error = $0.07

n = $(\frac{\sigma\times z}{\textup{Margin of error}})^2$

n = $(\frac{0.25\times1.96}{\textup{0.07}})^2$

n = 7²

n = 49

c) for margin of error = $0.05

n = $(\frac{\sigma\times z}{\textup{Margin of error}})^2$

n = $(\frac{0.25\times1.96}{\textup{0.05}})^2$

n = 9.8²

n = 96.04 ≈ 97 (Rounded off to next integer)

6 0

4 years ago

A pool in the shape of a rectangle has a perimeter of 80feet. The pool is 8 feet less wide than it is long. Find the length and

Lyrx [107]

Answer:

The length and width of the pool = 24 ft and 16 ft

Step-by-step explanation:

Let length of pool be l and width of pool be w.

A pool in the shape of a rectangle has a perimeter of 80feet.

Perimeter of pool = 2 x ( l + w ) = 80 feet

That is

l + w = 40 ft -----------------------------------eqn 1.

The pool is 8 feet less wide than it is long.

l = 8 + w

l - w = 8 ft -----------------------------------eqn 2.

eqn 1 + eqn 2

2 l = 48

l = 24 ft

Substituting

24 + w = 40

w = 16 ft

The length and width of the pool = 24 ft and 16 ft

5 0

4 years ago

Read 2 more answers