Pl help it’s for a grade I will give you Brainly if right

Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the t

harina [27]

Answer:

Proportion states that the two fractions or ratios are equal

As per the statement: Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the tank. Once the new tank is in, it will cost her $72.96

Let the tank size now be x

Since, the gas tank expanded by 10 gallons = x + 10

by definition of proportion ;

$\frac{x}{42.56}=\frac{x+10}{72.96}$

by cross multiply we get;

$72.96x = 42.56(x+10)$

using distributive property; $a\cdot (b+c) =a\cdot b + a\cdot c$

$72.96x = 42.56x+425.6$

Subtract 42.56x from both sides we get;

$30.4x =425.6$

Divide both sides by 30.4 we get;

x = 14

Therefore, the tank is her now is, 14 gallons

5 0

2 years ago

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Find the area of the circle to the nearest tenth. use 3.14 for pie

VikaD [51]

I assume that 4.4 is the diameter,please do correct me if i am wrong.

To get the area of the circle,the formula is 丌r^2

to find the radius,we need ro devide the diameter by 2

thus the equations is
$3.14 \times ({4.4 \div 2})^{2} \\ = 3.14 \times {2.2}^{2} \\ = 15.196 \\ = 15.2(correct \: to \: the \: nearest \: tenth)$
Therefore the answer is B.15.2

hope it helps!

3 0

3 years ago

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Suppose that the distribution of typing speed in words per minute (wpm) for experienced typists using a new type of split keyboa

KengaRu [80]

Answer:

a. 0.5 or 50%

b. 0.496 or 49.6%

c. 0.8185 or 81.85%

d. Yes, it would be just 0.0013 or 0.13% of probability to find a typist whose speed exceeds 105 wpm

e. 0.0252 or 2.52%

f. The qualifying speed would be 47.4 wpm.

Step-by-step explanation:

a. Let's find the z-score this way:

μ = 60 σ= 15

z-score = (x - μ)/σ

z-score = (60 - 60)/15

z-score = 0

Now, let's calculate the p value for z-score = 0, using the z-table:

p (z=0) = 0.5 or 50%

b. z-score = (x - μ)/σ

z-score = (59.9 - 60)/15

z-score = -0.01

Now, let's calculate the p value for z-score = -.0.01, using the z-table:

p (z = -0.01) = 0.496 or 49.6%

If the question were less or equal than 60, a and b would have the same answer. But in this case, the question is "less than 60 wpm".

c.

z-score = (x - μ)/σ

z-score = (45 - 60)/15

z-score = - 1

Now, let's calculate the p value for z-score = -1, using the z-table:

p (z = -1) = 0.1587

z-score = (x - μ)/σ

z-score = (90 - 60)/15

z-score = 2

Now, let's calculate the p value for z-score = 2, using the z-table:

p (z = 2) = 0.9772

In consequence,

p (-1 ≤ z ≤ 2) = 0.9772 - 0.1587 = 0.8185 or 81.85%

d. z-score = (x - μ)/σ

z-score = (105 - 60)/15

z-score = 3

Now, let's calculate the p value for z-score = 3, using the z-table:

p (z = 3) = 0.9987

In consequence,

p (z > 3) = 1 - 0.9987 = 0.0013

Yes, it would be just a 0.13% of probability to find a typist whose speed exceeds 105 wpm.

e. z-score = (x - μ)/σ

z-score = (75 - 60)/15

z-score = 1

Now, let's calculate the p value for z-score = 1, using the z-table:

p (z = 1) = 0.8413

In consequence,

p (z > 1) = 1 - 0.8413 = 0.1587

and if the two typists are independently selected, then

p = 0.1587 * 0.1587

p = 0.0252 or 2.52%

f. p = 0.2, using the z-table, the z-score is -0.84, then:

z-score = (x - μ)/σ

-0.84 = (x - 60)/15

-12.6 = x - 60

-x = -60 + 12.6

-x = - 47.4

x = 47.4

The qualifying speed would be 47.4 wpm.

8 0

2 years ago

C. The King football team ordered 50 hats. The cost of shipping was

kari74 [83]

The answer is $4.99 each

6 0

3 years ago

Find 118% of 19 could really use some help late bloomer

Zanzabum

Hello,

to find the percent of a number what we have to do is to multiply the number by de percent that we want to know and divide by 100, so:

$19* \frac{118}{100} =22.42$

Answer: 118% of 19 is 22.42

7 0

3 years ago

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