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3 years ago

Need help with a math question

Mathematics

1 answer:

solmaris [256]3 years ago

7 0

<u>Answer:</u>

<u>Step-by-step explanation:</u>

We are given the data of number of cars observed waiting in line at the beginning of 2 minute intervals between 3 and 5 p.m. on Friday.

We are to find the probability (in percent) that there is no one in line.

Sum of frequencies = 2 + 9 + 16 + 12 + 8 + 6 + 4 + 2 + 1 = 60

Frequency of no car in line = 2

P (no car in line) = 2 / 60 × 100 = 3.3% ≈ 3%

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The length of the segment between the points $(2a, a-4)$ and $(4, -1)$ is $2\sqrt{10}$ units. What is the product of all possibl

True [87]

Answer:

-3

Step-by-step explanation:

The length of a segment is

sqrt( ( y2-y1)^2 + (x2-x1) ^2) = 2 sqrt(10)

sqrt( ( a-4 - -1)^2 + (2a -4) ^2) = 2 sqrt(10)

sqrt( ( a-4 +1)^2 + (2a -4) ^2) = 2 sqrt(10)

Combine like terms

sqrt( ( a-3)^2 + (2a -4) ^2) = 2 sqrt(10)

Square each side

( a-3)^2 + (2a -4) ^2) = 4 *(10)

FOIL the left side

a^2 -6a +9 + 4a^2 -16a +16 = 40

Combine like terms

5a^2 -22a +25 = 40

Subtract 40 from each side

5a^2 -22a -15 =0

Factor

(a - 5) (5 a + 3) = 0

Using the zero product property

a-5 =0 5a +3 = 0

a = 5 5a = -3

a=5 a = -3/5

The product of the terms is

5 * -3/5 = -3

5 0

2 years ago

Lyla made a scale drawing of a city park. She used the scale 1 millimeter = 1 meter. What is the scale factor of the drawing?

sertanlavr [38]

Answer:

1ml : 1m

Step-by-step explanation:

The scale factor of the drawing is the ratio of 1 milliliter and 1 meter; that is, 1ml : 1m.

4 0

2 years ago

Find the volume and round to the nearest tenth as needed

monitta

Answer: 1962.4 cubic mm

Step-by-step explanation:

The volume of the larger cone is $V=\frac{1}{3}(\pi)(10^{2})(20)=\frac{2000\pi}{3}$

The volume of the smaller cone is $V=\frac{1}{3}(\pi)(3^{2})(14)=42\pi$ .

So, the volume is $\frac{2000\pi}{3}-42\pi \approx \boxed{1962.4}$

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2 years ago

2f -g

Sever21 [200]

Answer:

2x4 - 5x1x3 {bracket means times] =8-15=-7

Step-by-step explanation:

2f=2xf=2x4=8

g=5x1x3=15

=8-15

=-7

4 0

2 years ago

Determine the value of the variable that makes the equation true. 12-b=12.5

dusya [7]

Answer:

B = -.5

Step-by-step explanation:

If B is negative is cancels out the prexisting negative making it positive.

6 0

2 years ago