if thrice my age 6 years ago be subtracted from twice my present age the result is present age then my present age is what​

Answer:

2%

Step-by-step explanation:

We are given;

Standard Design mean; μ = 18

Sample design mean; x¯ = 15

Standard Standaed deviation; σ = 1.4

Let's find the test statistic from the formula;

z = (x¯ - μ)/σ

Thus;

z = (15 - 18)/1.4

z = -2.14

From the z-table attached, the p-value at z = -2.14 is 0.01618

Thus,

P(X < 15) = 0.01618

Converting to percentage, we have

P(X < 15) = 1.618%

This is approximately 2%

Using the normal distribution, it is found that there is a 2% probability that a fuel injection system will last less than 15 years.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The probability that a fuel injection system will last less than 15 years is 1 subtracted by the p-value of Z when X = 15, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{15 - 18}{1.4}[/tex]

[tex]Z = -2.14[/tex]

[tex]Z = -2.14[/tex] has a p-value of 0.02.

0.02 = 2% probability that a fuel injection system will last less than 15 years.

To learn more about the normal distribution, you can take a look at https://brainly.com/question/24663213

Answer:

Its the 2nd one

Step-by-step explanation: Hope this helps!

Answer:

Step-by-step explanation:

The first and second statements are correct but the third statement incorrect.

Therefore the correct choice is C. I and II only

Answer:

The measure of the acute angle is 18.4°

Step-by-step explanation:

The angle between a line of equation y = m x + b and the positive part of the x-axis is Ф = [tex]tan^{-1}[/tex](m), which means tan Ф = m, where m is the slope of the line

Let us use this rule to solve the question

∵ A line of equation y = [tex]\frac{1}{3}[/tex] x + 4 makes with a horizontal line an acute ∠

→ Compare the equation of the line by the form of the equation above

∴ m = [tex]\frac{1}{3}[/tex]

→ Assume that the acute angle is Ф

∴ The acute angle between the line and the horizontal line is Ф

→ By using the rule above

∵ tan Ф = m

∴ tan Ф = [tex]\frac{1}{3}[/tex]

→ Use [tex]tan^{-1}[/tex] to find Ф

∵ Ф =  [tex]tan^{-1}[/tex] ( [tex]\frac{1}{3}[/tex] )

∴ Ф = 18.43494882

→ Round it to the nearest tenth

∴ Ф = 18.4°

∴ The measure of the acute angle is 18.4°

Answer: $4.80

Step-by-step explanation: 24 * 0.20 = 4.80

Answer:

677

Step-by-step explanation:

785-27= 758

27*3= 81

758- 81= 677

I hope this helps!!!!

Answer:

what

Step-by-step explanation:

Answer: funny question

Step-by-step explanation:

4,237 white game consoles and 952

Answer:

the third one

Step-by-step explanation:

all you have to do is multiply the exponents

Answer:

333.7 kilometers

Step-by-step explanation:

Since the number 6 in the hundredths place and greater than five as well you round up the in the place to the left of it

Answer:

6 x 4 =24

the answer is 24

Step-by-step explanation:

Answer:

C. 21 to 28

Step-by-step explanation:

Answer:

m = 300

Step-by-step explanation:

[tex]m/5 = 60[/tex]

multiply both sides of the equation by 5

[tex]m = 60 * 5 = 300[/tex]

Answer:

n = 300

Step-by-step explanation:

60 * 5 = 300

m = 300

Answer:

0.1%

Step-by-step explanation:

Answer:

.1%

Step-by-step explanation:

1/100 is 1%, move the decimal to the left once and you get .1%

Answer:

monkeys 15:3 zebras

45/15 = 3

3 X 3 = 9

there are 9 zebras

Responda:

22:30

Explicação passo a passo:

Dado que :

Hora definida pela mãe = 20h00

Número de horas além do tempo definido = 2 horas e 30 minutos

Hora em que ela voltou para casa:

(tempo definido pela mãe + número de horas além do tempo definido)

(20h + 2 horas e 30 minutos) = 22h30

Hey there!

This answer to your question is it is false.

This is because you could have a rectangle with a length of 6 and a width of 4, and the area would be the same as a rectangle with a length of 8 and a width of 3. They would both be 24.

Hope it helps and have an amazing day! Stay safe!

Answer:

A:Write an expression for Polly's age

Answer:

a)

[tex]4x[/tex]

b)

[tex]4x + x = t[/tex]

c)

[tex]4x + x = t \\ 4(11) + 11 = t \\ 44 + 11 = t \\ 55 = t \\ t = 55[/tex]

d)

[tex]4x + x = 40 \\ 5x = 40 \\ x = \frac{40}{5} \\ x = 8[/tex]

Answer:

a. (1, 1)

Step-by-step explanation:

plug into equation: 5(1)+ 4(1) less than or equal to 10

solve: 5+4=9 and 9 is less than 10

Answer:

5x^2-12x+7

Step-by-step explanation:

Answer:

The answer is  3x^2 - 12x + 7

Step-by-step explanation:

A P E X !    just took the test <3

Answer:

B. lipid is an organic molecule

Answer:

#1: ????

#2: [tex]\frac{3}{4}[/tex] x [tex]15[/tex]

#3: [tex]\frac{7}{8}[/tex] ÷ [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

For #2:

[tex]\frac{3}{4}[/tex] x [tex]15[/tex].

It's that because there are 3/4 cups of honey for one cake. To use for 15 cakes, you would have to multiply it by 15.

For #3:

[tex]\frac{7}{8}[/tex] ÷ [tex]\frac{3}{4}[/tex].

It's that because the baker has 7/8 cups of honey. It takes 3/4 cups of honey for one cake. So you have to divide it by 3/4 cups in order to find out how many cakes.

Hope this helped! <3

Answer:

c=8

Step-by-step explanation:

The value of c that makes z = -5/4 an extraneous solution is c = 24/5.

A linear equation is defined as an equation in which the highest power of the variable is always one.

The equation is given as:

√{4z + 9} = cz + 8

An extraneous solution is a solution that is not a valid solution to the original equation, but it is obtained during the process of solving the equation. In this case, the extraneous solution is z = -5/4.

To determine the value of c that makes z = -5/4 an extraneous solution, we can substitute -5/4 for z in the original equation. This gives us the following:

√{4 × -5/4 + 9} = -5/4 × c + 8

√{-5 + 9} = -5/4 × c + 8

√4 = -5/4 × c + 8

2 = -5/4 × c + 8

5/4 × c =  8 - 2

5/4 × c = 6

c = 6 × 4/5

c = 24/5

Therefore, the value of c that makes z = -5/4 an extraneous solution is c = 24/5.

Learn more about the equations here:

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Answer:

A, B, and D

Step-by-step explanation:

Substitute all the coordinates into the equation. (x, y)

3(-2) - (-7) = 1

-6 - (-7) = 1

1 = 1

3(-1) - (-4) =1

-3 - (-4) = 1

1 = 1

3(0) - (1) = 1

0 - (1) = 1

-1 does not equal 1

3(3) - (8) = 1

9 - (8) = 1

1 = 1

The ordered pairs which are solutions to the equation 3x − y = 1 are:

By testing;

For A. (−2, −7); we have;

For B. (−1, -4); we have;

For C. (0, 1); we have;

For D. (3, 8)

Read more on equation solutions:

https://brainly.com/question/2284807