Twelve-year-olds have heights that are normally distributed with a mean of heights of 57 inches and a standard deviation of 4.6 inches. what percent of 12-year-old boys will have heights less than 55 inches?
A) 33%
B) 37%
C) 42%
D) 49%

Answer:

-17

Step-by-step explanation:

1w= -17

(1)(-17)=

-17

Answer:

-17

Step-by-step explanation:

in this situations, we normally divide both sides by the number next to the unknown.

1w is the same as saying w

so,

w = -17

Answer:

n=42

Step-by-step explanation:

Answer:

2.64

Step-by-step explanation:

The 8 in the thousandths place can round up to .64

Answer:

Step-by-step explanation:

Given a rhombus ABCD

|AB|=|DC| (Opposite sides of a rhombus are equal)

|AB|=9s+29

|DC|=10s-16

Therefore:

9s+29=10s-16

Collect like terms

10s-9s=29+16

Recall: |AB|=9s+29

|AB|=9(45)+29=405+29=434 Units

Since all the sides of a rhombus are congruent

AB=AC=BD=CD

Therefore:

|BC|=434 Units

Answer:

s=45

ab=434

Step-by-step explanation:

Answer:

17/45

Step-by-step explanation:

Answer:

is your brainly working?

Step-by-step explanation:

Answer:

5/7

Step-by-step explanation:

Billy experienced a rate of catfish to toral fish of 10/14. This is 5/7. So if this rate continues, he could expect the probability of catching a catfish to be : 5/7

Answer:

The house value increase by $17,040 in dollar terms

The current value of the house $ 230,040

Step-by-step explanation:

The increase in value of the house can be determined as the difference between the value of the house now after 8% increase in value and the earlier value of $213,000

new value=earlier value *(1+% increase in value)

% increase in value is 8%

new value=$213,000*(1+8%)

                 =$213,000*1.08=$230,040.00  

increase in value= $230,040-$213,000=$17,040

The increase in value of the house of 8% translated into a dollar value of $17,040

Answer:

Its B. y-5x+5

Step-by-step explanation:

Use the slope formula

The equation of the linear model is y = 5x + 5. The correct answer is option B.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We can find the equation of the linear model passing through two points using the slope-intercept form of a line:

y = mx + b

where m is the slope of the line and b is the y-intercept.

First, we need to find the slope of the line:

m = (y₂ - y₁) / (x₂ - x₁)

Let (0, 5) be the first point, and (3, 20) be the second point:

m = (20 - 5) / (3 - 0) = 15 / 3 = 5

Now that we know the slope, we can plug in one of the points and solve for the y-intercept:

y = mx + b

5 = 5(0) + b

b = 5

Hence, the equation of the linear model is:

y = 5x + 5

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Answer: D is a function.

Step-by-step explanation:

A function need to have exactly one output to each input.

Answer: D. (2, 3), (4, 3), (-2, -3), (-4,-3)

Step-by-step explanation: This represents a function because they're the opposing of each other. Hope this helps happy holidays! :)

Answer:

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

turn the percentage into a fraction

so 20% is equal to 2/10.

230 is the whole number so multiply is by the numerator which is 2

230 x 2=460

and divide it by the denominator which is 10

460/10=46

Answer:

In this subtraction, PR5T and 47Y6 represent 4-digit numbers. What number does PR5T represent?

PR5T - 47Y6 = 1998

Step-by-step explanation:

Answer:

I think the answer is 96

Step-by-step explanation:

I think that u have to multiply eight times ten. The you add twelve and that is how I got the answer of 96. I am pretty sure that it is correct but just i case I am sorry if u don't get it right.

Answer:

100

Step-by-step explanation:

the formula is b1+b2 divided by 2 times the height. 8+12=20 divided by 2 is 10 times 10 is 100.

Answer:

-24

Step-by-step explanation:

To find the y intercept, plug x in as 0.

Answer:

-24

Step-by-step explanation:

Y intercept is where graph cuts the y axis and it satisfies x=0

So put x=0 in your equation

F(0)= -8 x 3

F(0)= -24

Therefore y-intercept= -24

Answer:

[tex]\sqrt{8}----- 2units,2units[/tex]

[tex]\sqrt{7} ------\sqrt{5}units,\sqrt{2}units[/tex]

[tex]\sqrt{5}-------1unit,2units[/tex]

[tex]3------2units, \sqrt{5}units[/tex]

Step-by-step explanation:

Use pythagorean's theorem to solve each pair individually.

The instructions say that you have the two sides (a and b) and you have to match it with their hypothenuse.

[tex]Formula: c^2=a^2+b^2[/tex]

1. [tex]a=\sqrt{5}, b=\sqrt{2}[/tex]

Plug this into the formula.

[tex]c=\sqrt{(\sqrt{5} )^2+(\sqrt{2})^2 }[/tex]

The square here eliminates the roots.

[tex]c=\sqrt{5+2}\\ c=\sqrt{7}[/tex]

2. [tex]a=\sqrt{3}, b=4[/tex]

[tex]c=\sqrt{(\sqrt{3} )^2+(4)^2}\\ c=\sqrt{3+16}\\ c=\sqrt{19}[/tex]

3. [tex]a=2, b=\sqrt{5}[/tex]

[tex]c=\sqrt{(2)^2+(\sqrt{5})^2 }\\ c=\sqrt{4+5}\\ c=\sqrt{9}\\ c=3[/tex]

4. [tex]a=2, b=2[/tex]

[tex]c=\sqrt{(2)^2+(2)^2}\\ c=\sqrt{4+4}\\ c=\sqrt{8}[/tex]

5. [tex]a=1, b=2[/tex]

[tex]c=\sqrt{(1)^2+(2)^2}\\ c=\sqrt{1+4}\\ c=\sqrt{5}[/tex]

Answer:

1/36

Step-by-step explanation:

If the cubes are numbered from 1 to 6 there is just one way that the sum of both of them equals 12 and this is when Marsha gets 6 in the first cube and 6 in the other.

Thus, to know what the probability that the total of numbers facing up will equal 12 we would have to calculate the probability that the first cube is 6 AND the second one is also 6.

The probability that the first cube has the number 6 is: 1/6

The probability that the second cube has the number 6 is: 1/6

We need to multiply this numbers because they both have to be 6 (rule of multiplication),

so: [tex]\frac{1}{6}(\frac{1}{6} )= \frac{1}{36}[/tex]

Thus, the probability that the sum of them equals 12 is 1/36

Answer:

E) the new price is going to be $3.92

   Work: 3.50 × 12 / 100 = 0.42

              3.50 + 0.42 = 3.92

F) Dont understand what this one is asking

G) You would save 1.03$ with the 10% off.

   Work: 10.3 x 10 / 100

               103 / 100

              $1.03

hope this helps

Answer: The volume is 480 in^3

Step-by-step explanation:

v= lwh

v= 12 * 5 * 8

v= 480 in^3

Answer:

Volume of the rectangular prism = [tex]480in.^{3}[/tex]

Step-by-step explanation:

Formula for the volume of a rectangular prism= Ah, where A= base area

                                                                                               & h= height

Base area(A)= Length×Width

                    = 12in.×8in.

                    = [tex]96in.^{2}[/tex]

Since height=5in.,

Volume= [tex]96in.^{2}[/tex]×5in.

            = [tex]480in.^{3}[/tex]

Hope this helps!!!

Pls mark as brainliest

The cost price of the cycle is Rs.3240

Represent the cost price of the cycle with x and the selling price with y

A gain of 5% when the marked price is at a discount of 10% implies that:

[tex]5\%=\frac{(1 - 10\%)y-x}{x}[/tex]

Express 10% as decimal

[tex]5\%=\frac{(1 - 0.10)y-x}{x}[/tex]

[tex]5\%=\frac{0.90y-x}{x}[/tex]

Express 5% as decimal

[tex]0.05=\frac{0.90y-x}{x}[/tex]

Cross multiply

[tex]0.05x=0.90y-x[/tex]

Collect like terms

[tex]x + 0.05x=0.90y\\[/tex]

This gives

[tex]1.05x=0.90y[/tex]

Make y the subject of the formula

[tex]y = \frac{1.05x}{0.90}[/tex]

Also, when the discount is 5% and the profit is 351, we have:

[tex]351=(1 - 5\%)y -x[/tex]

Express 5% as decimal

[tex]351=(1 - 0.05)y -x[/tex]

This gives

[tex]351=0.95y -x[/tex]

Make y the subject

[tex]0.95y = 351 + x[/tex]

Substitute [tex]y = \frac{1.05x}{0.90}[/tex]

[tex]0.95 \times \frac{1.05x}{0.90} = 351 + x[/tex]

[tex]\frac{0.9975x}{0.90} = 351 + x[/tex]

Subtract x from both sides

[tex]\frac{0.9975x}{0.90} -x= 351[/tex]

Take LCM

[tex]\frac{0.9975x - 0.9x}{0.90}= 351[/tex]

[tex]\frac{0.0975x}{0.90}= 351[/tex]

Multiply both sides by 0.90

[tex]0.0975x= 315.9[/tex]

Divide both sides by 0.0975

[tex]x= 3240[/tex]

Hence, the cost price of the cycle is Rs.3240

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Answer:

a

Step-by-step explanation:

Answer: [tex]17.33ft[/tex]

Step-by-step explanation:

We need to go from area to radius to circumference.

Formula for the area:

[tex]A=\pi r^2[/tex]

Solve for r;

Divide by pi

[tex]r^2=\frac{A}{\pi}[/tex]

Extract the square root.

[tex]r=\sqrt{\frac{A}{\pi} }[/tex]

Plug in the value of the area.

[tex]r=\sqrt{\frac{24ft^2}{3.14} } \\r=2.76ft[/tex]

Now that you've found the radius, use the circumference formula to calculate it.

[tex]C=2\pi r\\C=2(3.14)(2.76ft)\\C=17.33ft[/tex]

Answer:

The slope of the line is 1

Step-by-step explanation:

To figure out the slope, you just have to do rise over one, if the line is going up from left to right then the slope is positive, which is the case shown

Answer:

[tex]y=2x+5[/tex]

Step-by-step explanation:

[tex](5,0)[/tex]

Since the y-axis is cross on 5, that's the slope.

y=mx+5

To find x, let's use the formula;

[tex]m=\frac{rise}{run}[/tex]

[tex]m=\frac{6}{3}=2[/tex]

Answer:

4

Step-by-step explanation:

Answer:

GCF=4

Step-by-step explanation:

It's 4

24/4=6

40/4=10

60/4=15

You can't go any higher because there is no GCF of 6, 10, and 15.

Answer:

6a

Step-by-step explanation:

The GCF (Greatest Common Factor) is a number/variable that you can take out of all of the terms in the expression.

In this case, each term in this expression has a 6, and an a, but not all have an x, so we only take out:

6a

By taking 6a, you get:

6a([tex]x^2[/tex] + x + 1)

Answer:

7.211

Step-by-step explanation:

Answer:

x = - 4.5, and x = 1

Step-by-step explanation:

~ Let us solve for x through factorization, but first change the equation to an expression for the simplicity ~

1. First break this expression into groups ⇒ ( 2x^2 - 2x ) + ( 9x - 9 )

2. Now factor 2x from 2x^2 - 2x ⇒ 2x ( x - 1 )

3. Now factor 9 from 9x - 9 ⇒ 9 ( x - 1 )

3. Combine these factored expressions ⇒ 2x ( x - 1 ) + 9 ( x - 1 )

4. Factor out common term x - 1 ⇒ ( 2x + 9 )( x - 1 )

5. Now add 0 to this expression as provided in the start: ( 2x + 9 )( x - 1 ) = 0

6. And now we recieve two answers, calculated through zero product property ⇒ 2x + 9 = 0   and   x - 1 = 0,  ⇒ 2x = - 9   and    x = 1   ⇒

x = - 4.5, and x = 1

The solution of the given expression would be as x = - 4.5, and x = 1.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

First we have to break this expression into groups

[tex]( 2x^2 - 2x ) + ( 9x - 9 )[/tex]

Now factor 2x

2x ( x - 1 )

Now factor 9 from 9x

9 ( x - 1 )

Combine these factored expressions as;

2x ( x - 1 ) + 9 ( x - 1 )

Then Factor out common term;

( 2x + 9 )( x - 1 )

Then add 0 to this expression as provided in the start;

( 2x + 9 )( x - 1 ) = 0

By zero product property

2x + 9 = 0   and   x - 1 = 0,  

⇒ 2x = - 9   and    x = 1  

x = - 4.5, and x = 1

The solution of the given expression would be as x = - 4.5, and x = 1.

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Answer:

12

Step-by-step explanation:

Answer:

82 cm is the area of trapezoid

Answer:

225

Step-by-step explanation:

Take 675/3 to find one third of its current depth. That gives you your answer. Does that make sense?

Answer:

sin theta = opp/ hypotenuse

Step-by-step explanation:

sin theta = opp/ hypotenuse

cos theta = adj/ hypotenuse

tan theta = opp/ adj

In this case we know the opposite  and the hypotenuse