TRUE OR FALSE

There are whole numbers that are not integers.

All rational numbers are whole numbers.

All integers are whole numbers.

All integers are rational numbers.

- 2x + 4 = 14

- 2x = 14 - 4

- 2x = 10

x = 10 / - 2

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Using the binomial distribution, it is found that the variance of the number that pass inspection in one day is 5.7.

For each component, there are only two possible outcomes, either it passes inspection, or it does not. The probability of a component passing inspections is independent of any other component, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability, and has variance given by:

[tex]V(X) = np(1 - p)[/tex]

In this problem:

The variance is given by:

[tex]V(X) = np(1 - p) = 120(0.95)(0.05) = 5.7[/tex]

The variance of the number that pass inspection in one day is 5.7.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

Answer:

x = 7

Step-by-step explanation:

3x - 8 = 13,

1st, add 8 to the other side. Therefore 8 + 13 which is 21.

2nd, divide 3 from 3x and 3 from 21.

3rd you receive the answer which is 7

Mathew decided to have a picnic with his 4 friends. They were each assigned to bring 10 different foods. The food were to be brought in 15 bags total. How much food are there in each bag in total?

Answer:

See below

Step-by-step explanation:

The function [tex]f(x)=sin(x)[/tex] oscillates between -1 and 1, so the range is [tex]-1\leq x\leq 1[/tex].

Answer:

y/x^2=-2x+3

Step-by-step explanation:

Using distance between two points to find the lengths of the edges of the triangle, the correct option is:

b. Isosceles

The distance between two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], is given by:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Vertex D is translated 4 units to the right is (9,8).

The lengths of the edges are:

[tex]DN = \sqrt{(9 - (-3))^2 + (8 - 10)^2} = \sqrt{12^2 + 2^2} = \sqrt{148}[/tex]

[tex]DO = \sqrt{(9 - (-3))^2 + (8 - 6)^2} = \sqrt{12^2 + 2^2} = \sqrt{148}[/tex]

[tex]NO = \sqrt{(-3 - (-3))^2 + (10 - 6)^2} = \sqrt{0^2 + 4^2} = 4[/tex]

Two edges of the same length, hence, it is an isosceles triangle, given by option b.

You can learn more about distance between two points at https://brainly.com/question/18345417

Answer:

80

Step-by-step explanation:

25 percent is equal to 1/4

1/4 of 80 is 20

Answer:

80

Step-by-step explanation:

Answer:

2.55km

Step-by-step explanation:

[tex]d=st[/tex]

where:

   d=distance

   s=speed

   t=time

[tex]s=\frac{3.4 \ \text{km}}{\text{hr}}\\[/tex]

[tex]t=0.75 \text{hr}[/tex]

[tex]d=st=(\frac{3.4 \text{km}}{\text{hr}})(0.75 \text{hr}})=2.55 \text{km}\\[/tex]

Answer:

[tex]3\frac{2}{5}[/tex] × [tex]\frac{3}{4}[/tex] [tex]= 2\frac{11}{20}[/tex] km

         = 2.55 km

18

Step-by-step explanation:

X-3=15

Make X the subject of the formular by transferring the number with co-efficients in one side if the equation.

X=15+3

X=18

Answer:

18

Step-by-step explanation:

Answer:

[tex]\frac{17}4; -\frac{17}3[/tex]

Step-by-step explanation:

Option 1:  check the intersection of the curve with both axis by plugging x=0 (y axis) and y=0 (x axis). You will get

[tex]x=0 \implies 0-3y=17 \rightarrow y=-\frac{17}3\\y=0 \implies 4x-0=17 \rightarrow x=\frac{17}4[/tex]

Option2: (my favourite. Divide by 17 both sides to write the equation as [tex]\frac xp + \frac yq = 1[/tex]: p and q will give you the two intercepts:

[tex]4x-3y=17 \rightarrow \frac{4}{17}x - \frac3{17}y = 1 \rightarrow \frac{x}{\frac{17}4}+ \frac{y}{-\frac{17}3}=1[/tex]

Again, the two intercepts are [tex]\frac{17}4; -\frac{17}3[/tex]

Answer:

The x-intercept is ( 17/4, 0 ), The y-intercept is ( 0, -17/3 ).

Step-by-step explanation:

The y-intercept of a graph is the point of intersection between the y-axis and the graph. Since the y-axis is also the line x = 0,x = 0 in the equation. x-value of this point will always be 0.

x-intercept of a graph is the point of intersection between the x-axis and the graph. Since the x-axis is also the line y=0 y=0y, equals, 0, the y-value of this point will always be

0.

To find the y-intercept, let's substitute x=0 y:4⋅0−3y=17

-3y=17

y = -17/3

​So the y-intercept is (0, -17/3).

To find the x-intercept, let's substitute y = 0 into the equation and solve for x: 4x - (3⋅0) = 17

4x = 17

x = 17/4

So, the x-intercept is (17/4, 0).

In conclusion, The y-intercept is (0, -17/3).

The x-intercept is (17/4, 0).

​

Answer:

Step-by-step explanation:

y = (4/7)x - 1

The sample sizes are quite large, so the central limit theorem applies. (It typically does as soon as the sample size exceeds 30 or so.) This means that the sample mean will be approximately normally distributed with the same mean 22 but standard deviation 3.1/√40 ≈ 0.4902.

Now, if the question is asking about the probability of the sample mean being an exact number, that probability would be zero.

But if you meant to ask something else, like "what is the probability that the sample mean is less than 21?" then we would have a non-zero probability. In this particular case, if Y is a random variable for the sample mean, then

Pr[Y < 21] = Pr[(Y - 22)/(3.1/√40) < (21 - 22)/(3.1/√40)]

… ≈ Pr[Z < -2.0402]

… ≈ 0.0207

Answer:

8/3

Step-by-step explanation:

x equals 8/3

7x_2_4x_6=0

3x=8 ÷3 in both sides

Answer:

3) x=18 , -8

Step-by-step explanation:

hi

hope it helps you

[tex]\huge \rm༆ Answer ༄[/tex]

Measure of each side of a triangle can't be greater than the sum of the other two sides and can't be smaller than the difference between the two other sides. therefore the most appropriate choice is ~

I hope it helps ~

We have:

1) 3 + 5 = 8 ⇒ wrong

2) 4 + 7 > 9 ⇒ right

3) 2 + 11 < 15 ⇒ wrong

ANSWER: 4 cm, 7 cm, 9 cm

Ok done. Thank to me :>

Answer: x= 1.9

Step-by-step explanation:

Answer:

Select all the correct answers.

Which three equations are equivalent to 1 +3|x-21 = 16?

O

X-2 = -5 or x - 2 = 5

X=-3 or x = 7

O

|x+2) = 5

0

x+2 = -5 or x+ 2 = 5

0

O

x=3 or x= -7

O

| x-2= 5

Answer:

Brandon will make 9 dollars an hour while he works at the resturant

Step-by-step explanation:

63/7=9

Hi!

If he got paid $63 an hour, and he worked 7 hours, we just have to simply divide 63 by 7.

7 goes into 63 nine times, therefore he makes $9 per hour.

Hope this helps and let me know if you need any other help! :D

14

This should be right!

Answer:

Option (C) is correct, the dimensions of the brand name television = 32 inches by 64 inches.

Step-by-step explanation:

Given :  The generic version was based on the brand name and was three eighths the size of the brand name and both are similar.

The dimensions of the generic television set = 12 inches by 24 inches

Let the dimensions of brand name be x by y such that

three eighth of x=12 inches

and three eighth of y=24 inches

Therefore, the dimensions of the brand name television = 32 inches by 64 inches.

Hence option (C) is correct.

Answer:

AAS

Step-by-step explanation:

It will take 29 years to reach $725 to $2000 compounded twice in a month.

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest is,

A = P(1 + r/100)ⁿ.

Where, A = amount, P = principle, r = rate, and n = time in years.

The formula for compound interest compounded twice each month is,

A = P(1 +(r/24)/100)²⁴ⁿ.

Given, A = 2000, P = 725, r = 3.5.

∴ 2000 = 725(1 + (3.5/24)/100)²⁴ⁿ.

(1 + (3.5/24)/100)²⁴ⁿ = 2.76.

(1.00146)²⁴ⁿ = 2.76.

24n = [tex]log_{1.00146}2.76[/tex].

24n = 695.87.

n = 29 years.

learn more about compound interest here :

https://brainly.com/question/14295570

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Answer:

-20.54 C

Step-by-step explanation:

Form an equation

-12.94 C = initial temperature

changes -1.9 per hour = -1.9h

h = hour

x = temperature after 4 hours

-12.94 -1.9h = x

substitute 4 for "h"

-12.94-1.9(4) = x

x = -20.54C

Answer:

Step-by-step explanation:

Just multiply -1.9 by 4 then add it to 12.94

Answer:

1.5

Step-by-step explanation:

1.47826086

rounded to the nearest tenth is 1.5

Answer:

132

Step-by-step explanation:

f(1) = 9

f(n) = -4f(n-1) + 4

Let n = 2

f(2) = -4f(2-1) + 4 = -4 f(1) +4 = -4(9) +4 = -36+4 = -32

Let n = 3

f(3) = -4f(2-1) + 4 =-4f(2)+4 =  -4 (-32) +4 = 128+4=132

Answer:

4900

Step-by-step explanation:

70^2 means 70*70

70*70=4900

Answer:

you will do 70 times 70 because 70^2 is 70 times 70 which is 4,900.