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2 years ago

Which of the following arrangement of the numbers 75, 4, 3,100 forms a proportion?

Mathematics

1 answer:

Klio2033 [76]2 years ago

6 0

Answer:

b) 3,4,75,100

Step-by-step explanation:

Since in the question it is mentioned that

75,4,3,100

So here the arrangement that creates a proportion is

3,4,75,100

Therefore the option b is correct

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5. How does the number line below represent the product of a

kumpel [21]

Answer: when going to the right it’s positive , when going to the left it’s negative.

Step-by-step explanation:

start w/ a line .

place the smallest to largest number on the negative side do the same w/ the positive side ..

3 0

2 years ago

Find the equation of the linear function represented by the table below in slope-intercept form. x y -1 3 1 1 3 -1 5 -3

Darya [45]

Answer:

y = - x + 2

Step-by-step explanation:

Points given:

(-1, 3), (1, 1), (3, -1), (5, -3)

Slope-intercept form:

y = mx + b

Finding the slope using slope formula and the first two points:

m = (1 - 3)/(1 - (-1)) = -2 / 2 = -1

Finding y-intercept using the slope and the first point:

3 = (-1)*(-1) + b
3 = 1 + b
b = 3 - 1
b = 2

So the equation is:

y = - x + 2

6 0

2 years ago

The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 4 ou

Setler [38]

Answer:

Step-by-step explanation:

(a)

The distribution of X is Normal Distribution with mean $= \mu =17$ and Variance $= \sigma^{2} = 16 \ i.e., X \sim N (17, 16),$

(b)

The distribution of $\bar{x}$ is Normal Distribution with mean $= \mu =17$ and Variance = $\sigma^{2}/n = 16/15= 1.0667$ .i.e., $\bar{x}\sim N(17,1.0667)$

To find P(15.5 < X < 18):

Case 1: For X from 15.5 to mid value:

Z = (15.5 - 17)/4 = - 0.375

Table of Area Under Standard Normal Curve gives area = 0.1480

Case 2: For X from mid value to 18:

Z = (18 - 17)/4 = 0.25

Table of Area Under Standard Normal Curve gives area = 0.0987

So,

P(15.5 < X< 18) = 0.1480 +0.0987 = 0.2467

So,

Answer is:

0.2467

(d)

$SE = \sigma/\sqrt{n}\\\\= 4/\sqrt{15}$

= 1.0328

To find $P(15.5 < \bar{x}< 18):$

Case 1: For $\bar{x}$ from 15.5 to mid value:

Z = (15.5 - 17)/1.0328 = - 1.4524

Table of Area Under Standard Normal Curve gives area = 0.4265

Case 2: For X from mid value to 18:

Z = (18 - 17)/1.0328 = 0.9682

Table of Area Under Standard Normal Curve gives area = 0.3340

So,

$P(15.5 < \bar{x}< 18) = 0.4265 + 0.3340 = 0.7605$

So,

Answer is:

0.7605

(e)

Correct option:

because Population SD is provided.

(f)

(i)

Q1 is given by:

$- 0.6745 = (\bar{x} - 17)/1.0328$

So,

X = 17 - (0.6745 * 1.0328) = 17 - 0.6966 = 16.3034

So,

Q1 = 16.3034

(ii)

Q3 is given by:

$0.6745 = (\bar{x} - 17)/1.0328$

So,

X = 17 + (0.6745 * 1.0328) = 17 + 0.6966 = 17.6966

So,

Q3= 17.6966

(iii)

IQR = Q3 - Q1 = 17.6966 - 16.3034 = 1.3932

Answers are:

Q1 = 16.3034 ounces

Q3 = 17.6966 Ounces

IQR = 1.3932 Ounces

8 0

2 years ago

A rectangle has a length of <img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B81%7D" id="TexFormula1" title="\sqrt[3]{81}" alt=

blsea [12.9K]

To find the area, multiply the length and width
A=lw
= 9

8 0

3 years ago

If a person is 18 years old, then the person can vote in the presidential election. Linda cannot vote; therefore, Linda is not 1

Len [333]

The answer is C, i just got it correct on my test lol

5 0

3 years ago