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mezya [45]
3 years ago
15

Kirk's family drove 36 miles in 50 minutes, which was 48% of the distance to his grandmother's house. What was the total distanc

e in miles to Kirk's grandmother's house? 17.28 miles 24 miles 48 miles 75 miles
Mathematics
2 answers:
Makovka662 [10]3 years ago
4 0

Answer:

Option D is correct.

75 miles is the total distance in miles to Kirk's grandmother's house

Step-by-step explanation:

Let x represents the total distance in miles to Kirk's grandmother's house.

As per the statement:

Kirk's family drove 36 miles in 50 minutes, which was 48% of the distance to his grandmother's house

⇒ Distance Kirk's family drove = 36 miles.

then;

36 = 48% of x

36 = \frac{48}{100}x

Multiply both sides by 100 we get;

3600 = 48x

Divide both sides by 48 we have;

75 miles = x

Therefore, the total distance in miles to Kirk's grandmother's house is 75 miles

miskamm [114]3 years ago
4 0

Answer:

260

Step-by-step explanation:

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Mekhanik [1.2K]

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 700

x = 46

p = 46/700 = 0.066

q = 1 - 0.066 = 0.934

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.9 = 0.1

α/2 = 0.1/2 = 0.05

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.95

The z score corresponding to the area on the z table is 1.645. Thus, the z score for a confidence level of 90% is 1.645

Therefore, the 90% confidence interval is

0.066 ± 1.645√(0.066)(0.934)/700

= 0.066 ± 0.0094

The lower limit of the confidence interval is

0.066 - 0.0094 = 0.0566

The upper limit of the confidence interval is

0.066 + 0.0094 = 0.0754

5 0
3 years ago
What is the costant of proportionality in the equation y=2.5x
andrew-mc [135]

Answer:

k=2.5

Step-by-step explanation:

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k is the proportionality constant.

y=2.5x

The y is the independent variable and x is the dependent variable.

The proportionality constant is 2.5.

8 0
3 years ago
V(t)=26,000(0.90^t) find the initial value and the value after 11 years
Damm [24]
Well you're given the equation and the time.

substitute:

V(t) = 26,000(0.90^t)
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V(11) = 8,159.075498
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5 0
3 years ago
Question 9(Multiple Choice Worth 5 points) (06.01 MC) Solve the system of equations below. x + y = 8 3x + 2y = 21 (3, 5) (5, 3)
gayaneshka [121]
<h3>Answer:  B.  (5,3)</h3>

How to get this answer:

x+y = 8 solves to y = -x+8 after isolating y. You subtract x from both sides.

Plug this into the second equation and solve for x

3x + 2y = 21

3x + 2( y ) = 21

3x + 2( -x+8 ) = 21 ... replace y with -x+8

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Use this to find y

y = -x+8

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8 0
3 years ago
Does anyone understand this problem?
Nata [24]

Answer:

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4 0
3 years ago
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