The scores on an exam are normally distributed, with a mean of 75 and a standard deviation of 5. What percent of the scores are less than 80?

A. 50%
B. 84%
C. 13.5%
D. 16%

What about it? From least to greatest?

-192, -48, 96, 384

Answer:

revolvelution

Step-by-step explanation:

Answer with explanation:

To prove two triangles are similar using SSS Similarity Criterion we need to prove that sides of triangles are Proportional.

Sides of two triangles can be obtained using Distance formula.

 Coordinates of ΔABC are= A(0,0) , B(6,3) and C(-3,3)

Coordinates of ΔFGH are=F(-3,-2),G(-1,-3) and H(-4, -3)

        [tex]AB=\sqrt{(6-0)^2+(3-0)^2}\\\\=\sqrt{36+9}\\\\=\sqrt{45}\\\\=5\sqrt{3}\\\\BC=\sqrt{(6+3)^2+(3-3)^2}\\\\BC=9\\\\AC=\sqrt{(-3-0)^2+(3-0)^2}\\\\AC=\sqrt{9+9}\\\\=\sqrt{18}\\\\=3\sqrt{2}\\\\FG=\sqrt{(-3+1)^2+(-2+3)^2}\\\\FG=\sqrt{4+1}\\\\FG=\sqrt{5}\\\\GH=\sqrt{(-1+4)^2+(-3+3)^2}\\\\GH=3\\\\HF=\sqrt{(-4+3)^2+(-3+2)^2}\\\\HF=\sqrt{1+1}\\\\HF=\sqrt{2}[/tex]

Ratio of Corresponding sides are

    [tex]1.\rightarrow \frac{AB}{FG}=\frac{3\sqrt{5}}{\sqrt{5}}\\\\=3\\\\2.\rightarrow \frac{AC}{FH}=\frac{3\sqrt{2}}{\sqrt{2}}\\\\=3\\\\3.\rightarrow \frac{CB}{HG}=\frac{9}{3}\\\\=3\\\\\rightarrow \frac{AB}{FG}=\frac{AC}{FH}=\frac{CB}{HG}[/tex]

As corresponding sides are proportional, so trinagles are Similar.

 ⇒  ΔABC ≅ ΔFGH--------[SSS]

Hence proved.

t = p(x)

The reason I put the x in the parentheses is because I’m not sure what the variable is supposed to be. But x stands for how many kilograms she buys, so you can out in the correct variable later.

Hope this helps!

If it does I would appreciate it if you could make me brainliest.

Answer:

t = pk

Step-by-step explanation:

Let

k = kilograms

You need another variable than just t and p.

p needs to be multiplied by another variable that represents kilograms. I used

k because kilograms starts with k.

Expression: 45+(5 x w)

Hope this helps man.

The expression for the number of dollars in Michael's savings account after w week's will be;

⇒ y = $5w + $45

Where, y is total amount and w is number of weeks.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Michael starts with $45 in his savings account and adds $5 to the account each week .

Now,

Since, Michael starts with $45 in his savings account and adds $5 to the account each week .

Hence, After w weeks the total amount (y) is,

⇒ y = $45 + $5w

Thus, The expression for the number of dollars in Michael's savings account after w week's will be;

⇒ y = $5w + $45

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Answer:

50% chance

Step-by-step explanation:

There is a 50% chance because there in a 3/6 chance he will pick a number above 2

The answer is the first one. an=18-6n

because

18-6 (1) = 12

18-6 (2)=6

18-6 (3)=0

18-6 (4)= -6

and so on

hope this helps

The answer is $55

You multiply 10 by 75 which gives you $750 and subtract the borrowed money by $750 to get $55

Final answer:

Andrew will pay a total of $55 in interest on the $695 loan when he makes 10 monthly payments of $75 each.

Explanation:

The student is asking how much interest Andrew will pay on a $695 loan if he makes 10 monthly payments of $75 each. To find the total interest paid, we need to calculate the total amount Andrew will pay back and then subtract the original loan amount from it.

Total amount paid by Andrew = 10 monthly payments times $75/payment = $750

Original loan amount = $695

Interest paid = Total amount paid - Original loan amount = $750 - $695 = $55

Therefore, Andrew will pay $55 in interest to repay the loan for the new TV.

Answer:

x = 4

Step-by-step explanation:

When a tangent and a secant are drawn from an external point to a circle.

Then the product of the external part of the secant and the entire secant and the square of the measure of the tangent are equal, hence

x(x + 5) = 6²

x² + 5x = 36 ( subtract 36 from both sides )

x² + 5x - 36 = 0 ← in standard form

(x + 9)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9

x - 4 = 0 ⇒ x = 4

However, x > 0 ⇒ x = 4

Answer:B

Step-by-step explanation:

Answer:

Step-by-step explanation:

5/8 + 2/8 = 7/8

    2. 2 1/5 = 11/5

11/5 = 88/40

5/8 = 25/40

88/40 - 25/40 = 63/40

For this case we have to, if Sam ran [tex]\frac {1} {4}[/tex]of a mile more than Jose, then, before stopping he ran:

[tex]\frac {5} {8} + \frac {1} {4} = \frac {20 + 8} {32} = \frac {28} {32} = \frac {14} {16} = \frac { 7} {8}[/tex]

I ran [tex]\frac {7} {8}[/tex]miles before stopping.

Now, Jose after resting ran ([tex]2 \frac {1} {5} = \frac {10 + 1} {5} = \frac {11} {5}[/tex]):

[tex]\frac {11} {5} - \frac {5} {8} = \frac {88-25} {40} = \frac {63} {40}[/tex]

Jose ran [tex]\frac {63} {40}[/tex]miles

ANswer:

[tex]\frac {7} {8}\\\frac {63} {40}[/tex]

ANSWER

[tex]2(8 {x}^{2} + 9x + 16)[/tex]

EXPLANATION

The given expression is

[tex]16 {x}^{2} + 18x + 32[/tex]

The greatest common factor is 2.

We factor 2 to obtain:

[tex]2(8 {x}^{2} + 9x + 16)[/tex]

The expression in the parenthesis is prime.

This means that the quadratic expression in the parenthesis cannot be factored.

Hence the completely factored form is:

[tex]2(8 {x}^{2} + 9x + 16)[/tex]

Answer:

2(8 {x}^{2}  + 9x + 16)

Step-by-step explanation:

I believe it’s 8 because 24 divided 75% is 32.

To find the total number of fish in a tank where 75% are goldfish and there are 24 goldfish, solve the equation 0.75 × Total Number of Fish = 24, resulting in 32 fish in total.

The question asks about calculating the total number of fish in a tank knowing that 75% of them are goldfish, and there are 24 goldfish. To find the total number of fish in the tank, we set up a proportion based on the given information that 75% (or 0.75 when converted to a decimal) of the total number of fish equals 24 goldfish.

Mathematical equation: 0.75 × Total Number of Fish = 24.

To solve for the Total Number of Fish, we divide both sides of the equation by 0.75:

Total Number of Fish = 24 ÷ 0.75

Total Number of Fish = 32

Therefore, there are 32 fish in the tank in total.

The answer is 10a^4b^3

Answer:

6 families have at least 4 pets

Step-by-step explanation:

Hope it helped you!

Answer: She makes $1632 a week.

Step-by-step explanation:

You multiply 16 times 32 and get your answer.

Answer:

Step-by-step explanation:

1. 15 green power options

2. sun

wind

water

earth

tide

waves

oceans

renewable energy

biofuel

uranium

coal

natural gas

oil

tires

biomass

3. most are all viable energy sources for the future because you need them all for example like the sun if we do not have sun then we all will die

4. Oil is not a viable energy source because think of how many gallons are dumped in the ocean and how many animals and fish it kills

The answer is 20 pages.

Hope this helps!

For this case we must make a rule of three to determine the number of pages to finish your work.

12 --------------> 60%

x ----------------> 40%

Where "x" represents the number of pages needed to complete the job:

[tex]x = \frac {40 * 12} {60}\\x = 8[/tex]

So, there are 8 pages left to finish their work. The total number of pages of the work is 20.

Answer:

You need to finish 8 pages out of a total of 20

The answer is 24% I hope this helps : )

For this case we must make a rule of three:

$ 46 -----------------> 100%

$ 35 -----------------> x

Where "x" represents the percentage of the discounted cost.

[tex]x = \frac {35 * 100} {46}\\x = 76[/tex]%

We subtract to know how much was the discount percentage:

100% -76% = 24%

Thus, the discount percentage was 24%

ANswer:

24%

Answer:

b. 3

Step-by-step explanation:

Box J has surface area 2(4.5 ft * 2 ft) + 2(3 ft * 2 ft) + 2(4.5 ft * 3 ft) =  57

Box F has surface area 6(3^2 ft) = 54 ft^2

The difference between the surface areas is: 57 - 54 = 3

b. diff = 3

[tex]

S_j=2\cdot(3\cdot2)+2\cdot(4.5\cdot2)+2\cdot(4.5\cdot3) \\ S_j=12+18+27=\underline{57} \\ \\

S_f=6\cdot(3\cdot3)=6\cdot9=\underline{54} \\ \\

S_j-S_f=57-54=\boxed{3}

[/tex]

The answer is 3.

Answer:

(- 3, 6)

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y) → (- x, y), hence

(3, 6) → (- 3, 6)

The image of the point (3, 6) reflected across the y-axis is (-3, 6) since only the x-coordinate changes sign.

Reflection of a point across the y-axis in a Cartesian coordinate system involves changing the sign of the x-coordinate of the point while keeping the y-coordinate the same. For point (3, 6), when it is reflected across the y-axis, the x-coordinate becomes the opposite sign, while the y-coordinate remains unchanged. Therefore, the image of the point (3, 6) after reflection across the y-axis is at (-3, 6). This transformation elucidates the geometric effect of y-axis reflection, showcasing how points are mirrored across the axis while maintaining their vertical position, essential in geometry, graphics, and spatial reasoning for analyzing symmetrical patterns and transformations.

Answer:

24

Step-by-step explanation:

There are four options for the first wire.

After the first wire has been attached, there are three wires left that can be second.

After the second wire is attached, there are two wires that can be third.

After the third wire is attached, only one wire remains.  It has to be last.

So the number of ways is:

4×3×2×1 = 24

Answer:

A . 6.3

B . 4.4002

C . 29.7

D . 0.86

E. 4.62

F. 4.15

G. 3.29

H. 72.5

A=6.3

B=4.3911

C=29.7

D=0.86

E=4.62

F=4.15

G=3.29

H=72.52

Answer:

5/9

Step-by-step explanation:

To have an even number (let's call it E) OR a number greater than 9 (let's call it N), you can have EITHER of them.

So, to calculate the probability, you need to find the probability of having E and then the probability of having N... then ADD them together.

To calculate the probability, just look on the image.

Probability of having an even number: 18 (red circles)

Probability of having a number greater than 9 (that is NOT already counted in the even scenario): 2 (within the blue zone, but not red)

We don't count a same possibility (like 6,4) twice, only once.

Total: 18 + 2 = 20

Out of 36 possibilities

So, probability is 20/36, or 10/18 or 5/9.

Answer:

Option A is correct.

Step-by-step explanation:

The credit limit is $6000

New balance after the transactions = $ 3604.50

Available credit on Nikki's card = credit limit - New balance after the transactions

Available credit on Nikki's card = $6000 - $ 3604.50

Available credit on Nikki's card = $ 2395.50

So, Option A is correct.

Answer:

The first step would be to add 3 on both sides of the equation.

Step-by-step explanation:

Given a polynomial or a quadratic equation, the first step in completing the square is to take the constant term to the other side of the equation. In the polynomial given the constant term is -3 which implies that we can add 3 on both sides of the equation in order to eliminate this constant term from the left hand side;

x^2 -x -3 +3 = 0 + 3

x^2 - x = 3

Answer:

The first step of Bao yu is to isolate the constant

Step-by-step explanation:

For using completing the square to solve the polynomial equation, the equation should be of the type [tex]a^2 \pm 2ab +b^2[/tex] that can also be written as:[tex](a\pm b)^2[/tex]

so, for the given equation: [tex]x^2 -x -3 =0[/tex]

The first step should be to isolate the constant:

[tex]x^2 -x = 3[/tex]

Then we have to make the middle term according to 2ab where a = 1x and b= (1/2) i.e, -2(1x)(1/2) = 1x

so,by adding (1/2)^2 on both sides of equation, we can complete the formula:

[tex]x^2 -x = 3[/tex]

[tex]x^2 -2(x)(\frac{1}{2}) + (\frac{1}{2})^2 = 3 (\frac{1}{2})^2[/tex]

Solving we get,

[tex](x- (\frac{1}{2}))^2 = 13/4[/tex]

So, the first step is to isolate the constant.

Answer:

Strongly Disagree: 24°

Somewhat Disagree: 16°

Neither Agree nor Disagree: 100°

Somewhat Agree: 350/900 = 140°

Strongly Agree: 200/900 = 80°

Step-by-step explanation:

To find the degrees on a pie chart we need to find the proportion of each category over the total.

The total is: 60 + 40 + 250 + 350 + 200 = 900

The proportions of each category is going to be:

Strongly Disagree: 60/900 = 1/15.

Somewhat Disagree: 40/900 = 2/45.

Neither Agree nor Disagree: 250/900 = 5/18.

Somewhat Agree: 350/900 = 7/18.

Strongly Agree: 200/900 = 8/9.

We find the degrees by multiplying the proportions to 360 degrees as follows:

Strongly Disagree: 24°

Somewhat Disagree: 16°

Neither Agree nor Disagree: 100°

Somewhat Agree: 350/900 = 140°

Strongly Agree: 200/900 = 80°

The total should be 360°. Let's prove it:

24 + 16 + 100 + 140 + 80 = 360°.'

Answer:

x=1, -3

Step-by-step explanation:

Multiply your surface area by your cost/ square in. for your current cereal box to find the total cost of packaging. Then do the same with the new measurements for the new container.

Answer:

1. $21.60     2. 64.80

Step-by-step explanation:

I hope this helps :)

Answer:one solution

Step-by-step explanation:

Given

a=42

b=34

angle A=117

using sine rule

[tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]

[tex]\frac{42}{sin117}=\frac{34}{sinB}[/tex]

[tex]sinB=\frac{34}{42}\times sin(117)[/tex]

sinB=0.7212

[tex]B=46.161 ^{\circ}[/tex]

and A+B+C=180

[tex]C=16.839^{\circ}[/tex]

Thus 2 triangles can be formed with given value

Answer:

one solution

Step-by-step explanation:

When the input is -1, the output is 3

The answer is 3

In the given graph, the value of y at x = - 1 is 7.

This means that when the input x is - 1, the corresponding output y is 7. The graph visually represents the relationship between x and y, where each point on the graph corresponds to a specific x - y pair. When x takes the value - 1, the graph intersects the y-axis at the point (- 1, 7), indicating that the output y is 7.

In summary, for x = - 1, the associated output value y is 7, as shown by the graph's plotted point.

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