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2 years ago

A car used 1/32 of a gallon of gas to drive ¼ of a mile. At this rate, how many miles can the car travel using 1 gallon of gas?

Mathematics

2 answers:

puteri [66]2 years ago

7 0

1/32 gallon used to cover 1/4mile

1gallon will be used

1/4÷1/32
1/4×32
1(8)
8mi

Y_Kistochka [10]2 years ago

5 0

8 miles using 1 gallon of gas

$\sf \dfrac{1}{32} \ gallon \ gas \rightarrow \dfrac{1}{4} \ mile$

$\sf 1\ gallon \ gas \rightarrow \dfrac{\dfrac{1}{4}}{\dfrac{1}{32}} \ mile$

$\sf 1\ gallon \ gas \rightarrow \dfrac{0.25}{0.03125} \ mile$

$\sf 1\ gallon \ gas \rightarrow 8 \ mile$

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Find the measure of the numbered angles for the parallelogram in question one!!!

vodka [1.7K]

1) 70
2) 110
3) 70

because 110 is equivalent to angle 2. angle 1 and 3 are also equivalent so you add 110 + 110 which equals 220 and subtract 360-220 which equals 140 and divide by 2 to get angles 1 and 3.

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3 years ago

Identify thenull hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), then state the conclusion abo

miv72 [106K]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let m and w be the subscript for men and women players. The population proportions would be pm and pw

Pm - Pw = difference in the proportion of male and female players.

The null hypothesis is

H0 : pm = pw

pm - pw = 0

The alternative hypothesis is

Ha : pm ≠ pw

pm - pw ≠ 0

it is a two-tailed test

Sample proportion = x/n

Where

x represents number of success

n represents number of samples

For men,

xm = 1027

nm = 2441

Pm = 1027/2441 = 0.42

For women,

xw = 509

nw = 1273

Pw = 509/1273 = 0.4

The pooled proportion, pc is

pc = (xm + xw)/(nm + nw)

pc = (1027 + 509)/(2441 + 1273) = 0.41

1 - pc = 1 - 0.41 = 0.59

z = (Pm - Pw)/√pc(1 - pc)(1/nm + 1/nw)

z = (0.42 - 0.4)/√(0.41)(0.59)(1/2441 + 1/1273) = 0.02/√0.0002891223

z = 1.18

Since it is a 2 tailed test, we would find the p value by doubling the area to the right of the z score to include the area to left.

Area to the right from the normal distribution table is

1 - 0.881 = 0.119

P value = 0.119 × 2 = 0.238

Since 0.05 < 0.238, we would accept the null hypothesis

Therefore, there is no sufficient evidence to conclude that that men and women have unequal success in challenging calls.

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3 years ago

A train traveling 30 miles per hour how long will it take to travel 180 miles

kotykmax [81]

Answer:

6 hours

Step-by-step explanation:

180 divided by 30 = 6

7 0

3 years ago

PLEASE HELP

antiseptic1488 [7]

Answer:

The principal amount is 5000 dollars = 3, 70,000 rupees (5000 dollars x 74 Rupees)

Rate = 2.5%

Time = 1 year

Now, on putting the values given in the formula

S.I.= 9,250 Rupees

Now we convert it into dollars by diving 9,250 rupees by 74 rupees.

We get,

9250/74 = 125 dollars

Step-by-step explanation:

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2 years ago

Read 2 more answers

Determine whether the following equation defines y as a function of x.

Aleks04 [339]

Answer:

The equation can define y as a function of x and it also can define x as a function of y.

Step-by-step explanation:

A relation is a function if and only if each value in the domain is mapped into only one value in the range.

So, if we have:

f(x₀) = A

and, for the same input x₀:

f(x₀) = B

Then this is not a function, because it is mapping the element x₀ into two different outputs.

Now we want to see it:

x + y = 27

defines y as a function of x.

if we isolate y, we get:

y = f(x) = 27 - x

Now, this is a linear equation, so for each value of x we will find an unique correspondent value of y, so yes, this is a function.

Now we also want to check if:

x + y = 27

defines x as a function of y.

So now we need to isolate x to get:

x = f(y) = 27 - y

Again, this is a linear equation, there are no values of y such that f(y) has two different values. Then this is a function.

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3 years ago