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2 years ago

The sum of three consecutive even integers is 264. What are the integers? (show your work)

Mathematics

1 answer:

Anettt [7]2 years ago

4 0

Answer:

1 Expert Answer

X + Y + Z = 264. Since Y is 1 bigger than X, Y = X + 1. Since Z is 1 bigger than Y, Z = Y + 1. But Y = X + 1, so Z = (X + 1) + 1 = X + 2.

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The owner of an auto repair shop studied the waiting times for customers who arrive at the shop for an oil change. The following

labwork [276]

Answer:

(d)0.6

Step-by-step explanation:

(a)Frequency Distribution

$\left|\begin{array}{c|c}$Waiting Time(in Minutes)&$Frequency\\-----------&--\\0-4&4\\5-9&8\\10-14&5\\15-19&2\\20-24&1\\--&--\\Total&20\end{array}\right|$

(b)The relative frequency distribution.

$\left|\begin{array}{c|c}$Waiting Time(in Minutes)&$Relative Frequency\\-----------&--\\0-4&4/20=0.2\\5-9&8/20=0.4\\10-14&5/20=0.25\\15-19&2/20=0.1\\20-24&1/20=0.05\\--&--\\Total&1\end{array}\right|$

(c)The cumulative frequency distribution.

$\left|\begin{array}{c|c|c}$Waiting Time(in Minutes)&$Frequency&$Cumulative Frequency\\-----------&--&---\\0-4&4&4\\5-9&8&12\\10-14&5&17\\15-19&2&19\\20-24&1&20\\--&--&--\\Total&20\end{array}\right|$

(d)The proportion of customers needing an oil change who wait 9 minutes or less.

Proportion of customers needing an oil change who wait 9 minutes or less.

$=\dfrac{12}{20} \\\\=0.6$

5 0

2 years ago

Please help me find the value of x the answer must be exact

jenyasd209 [6]

Answer:

$x=11$

Step-by-step explanation:

This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:

$leg=x\\hypotenuse=x\sqrt{2}$

Therefore, the value of x is 11.

You can double-check using the sine ratio:

$sineX=\frac{opposite}{hypotenuse}$

Insert the values:

$sin45=\frac{x}{11\sqrt{2} }$

Insert the equation into a calculator:

$x=11$

:Done

*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.

6 0

2 years ago

Can someone help with this question

NikAS [45]

1st : Find the volume of the rectangular block:
12 × 10 × 20 = 2400 cm^3.

2nd : Find the volume of a cylinder
$\pi {r}^{2} h$
Where r is radius & h is height.
so:
$\pi \times 2.2 {}^{2} \times 5.0$
= 76.02654222 cm^3

Lastly, divide the volume of the rectangular block by the volume of the cylinder
2400 ÷ 76.026 = 31.5679226

You can't round it up so the answer is F) 31

4 0

2 years ago

Simplify the given expression below: (4+2i)-(1–7i)

emmasim [6.3K]

Answer:

3 + 9i

Step-by-step explanation:

(4 + 2i) - (1 - 7i)

distribute the (-)

(4 + 2i) - 1 + 7i

combine like terms

3 + 9i

4 0

3 years ago

Find the average of the following numbers:<br><br> −34 and −37

OverLord2011 [107]

Answer:-35.5

Step-by-step explanation:

-34 + -37 = -71

-71 divided by 2 = -35.5

5 0

3 years ago