Translate the percent sentence to a percent equation.
What number is 43% of 80?

Answer:

hi, yes the option B is the correct answer

Answer:

81.64 Inches

Step-by-step explanation:

Given :

Diameter of wheel =26 inches

Radius of wheel (r)=26/2=13 inches

Circumference (C) of wheel can be calculated as :

C=  2πr

C=6.28(13)

C=81.64 Inches

Answer:

The opposite of a number is the number on the other side of 0 number line, and the same distance from 0.

Answer:

c

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

[tex]\dfrac{2x - 6}{4} > \dfrac{x - 3}{2}[/tex]

The LCD is 4, so multiply both sides of the inequality by 4.

[tex]4 \times \dfrac{2x - 6}{4} > 4 \times \dfrac{x - 3}{2}[/tex]

[tex]2x - 6 > 2 \times (x - 3)[/tex]

[tex]2x - 6 > 2x - 6[/tex]

Subtract 2x from both sides.

[tex]-6 > -6[/tex]

Since -6 = -6, the above statement is false, so there are no solutions.

Answer: no solution

Given:

Principal value = $1500

Rate of interest = 7% per annum compounded daily

Time = 2 years.

To find:

The amount after 2 years.

Solution:

Formula for amount:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest in decimals, n is the number of time interest compounded in an year and t is the number of years.

We know that 1 year is equal to 365 days and the interest compounded daily. So, n=365.

Substituting [tex]P=1500,\ r=0.07,\ n=365,\ t=2[/tex] in the above formula, we get

[tex]A=1500\left(1+\dfrac{0.07}{365}\right)^{365(2)}[/tex]

[tex]A=1500\left(\dfrac{365+0.07}{365}\right)^{730}[/tex]

[tex]A=1500\left(\dfrac{365.07}{365}\right)^{730}[/tex]

Using calculator, we get

[tex]A\approx 1725.39[/tex]

The amount after two years is $1,725.39. Therefore, the correct option is (c).

Complete question is;

Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ = 7. What is the probability P (X > 42)?

Answer:

P(X > 42) = 0.1271

Step-by-step explanation:

We are given;

mean; μ = 50

Standard deviation; σ = 7

Formula for the z-score is;

z = (x - μ)/σ

Thus;

z = (42 - 50)/7

z = -1.14

Since we are looking for P (X > 42), then let's look up this z-value from the z-distribution table attached.

We have;

P(X > 42) = 0.1271

Answer:

I think there is no solution.

Step-by-step explanation:

Substitute:

Z = -3y-5x+25

X = 3y-2z-13

Put into the last formula:

14(3y-2z-13)-2y+3(-3y-5x+25) = 48

Then:

14(3y-2(-3y-5x+25)-13)-2y+3(-3y-5(3y-2z-13)) = 48

So:

14(3y-2(-3y-5(3y-2z-13)+25)-13)-2y+3(-3y-5(3y-2(-3y-5x+25)-13)) = 48

And so on.

Answer:

74.8 ft÷3.4 inches=264

2.1 in x 264=46.2 inches so the width should be 46.2 inches

Answer:

iv. q/6E0

Step-by-step explanation:

Electric flux formula:

The electic flux formula, of a charge q is given by, through an entire cube, is given by:

[tex]E = \frac{q}{E_o}[/tex]

In which [tex]E_o[/tex] is a constant related to the material.

The electric flux through any one face of the cube is:

Key-word is face, and a cube has 6 faces, with the force distributed evenly throughout it. Thus

[tex]E_f = \frac{1}{6} \times \frac{q}{E_o} = \frac{q}{6E_o}[/tex]

And the correct answer is given by option iv.

Answer:

14

Step-by-step explanation:

So let's think smart.  If you look at the image I made a diagram.  The 3 squares I colored in represent 3/4.  It takes 14 3/4 strips to cover 10 1/2 inches.

The Number of 3/4 inch strips required to cover 10 1/2 inches of caulk will be 14

The total inches of caulk to be covered = 10 1/2 inches

The fraction of inch strip to be used = 3/4 inches

To obtain the number of 3/4 inch strop required ;

We divide the total inches of caulk by 3/4

Hence,

10 1/2 ÷ 3/4

21/2 ÷ 3/4

Change the sign to × and take the reciprocal of 3/4 ;

21/2 × 4/3

(21 × 4) / (2 × 3) = 84 / 6

84 / 6 = 14

Hence, the number of 3/4 inch strip required is 14

Learn more : https://brainly.com/question/2610134

Answer:

Step-by-step explanation:

Answer:

a. 0.4 = 40% probability that your bid will be accepted

b. 0.8 = 80% probability that your bid will be accepted.

c. $15,000.

d. Bidding $15,000 guarantees you a profit of $1,000, while trying to bid less than $15,000, you can end up without a profit, thus, you should not consider bidding less than the amount in part (c).

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

Assume that the competitor’s bid x is a random variable that is uniformly distributed between $10,000 and $15,000.

This means that [tex]a = 10, b = 15[/tex], considering the measures in thousands of dollars.

a. Suppose you bid $12,000. What is the probability that your bid will be accepted?

Probability that the other bidder's bid is less than 12000(X < 12). So

[tex]P(X < 12) = \frac{12 - 10}{15 - 10} = \frac{2}{5} = 0.4[/tex]

0.4 = 40% probability that your bid will be accepted.

b. Suppose you bid $14,000. What is the probability that your bid will be accepted?

Probability that the other bidder's bid is less than 14000(X < 14). So

[tex]P(X < 14) = \frac{14 - 10}{15 - 10} = \frac{4}{5} = 0.8[/tex]

0.8 = 80% probability that your bid will be accepted.

c. What amount should you bid to maximize the probability that you get the property?

The upper bound of the uniform distribution, that is, $15,000.

d. Suppose you know someone who is willing to pay you $16,000 for the property. Would you consider bidding less than the amount in part (c)? Why or why not?

Bidding $15,000 guarantees you a profit of $1,000, while trying to bid less than $15,000, you can end up without a profit, thus, you should not consider bidding less than the amount in part (c).

Answer:

The total mass of Earth's hydrosphere is about 1.4 × 1018 tonnes, which is about 0.023% of Earth's total mass. At any given time, about 20 × 1012 tonnes of this is in the form of water vapor in the Earth's atmosphere (for practical purposes, 1 cubic meter of water weighs one tonne).

Step-by-step explanation:

Answer:

-2.41: -2.14: -2.1: -11/8: 7/50

Answer:

390 yds

Step-by-step explanation:

Take the amount of wood per birdhouse and multiply by the number of birdhouses being made

78 * 5 =390 yds

Answer:

390 yds

Step-by-step explanation:

Take the amount of wood per birdhouse and multiply by the number of birdhouses being made

78 * 5 =390 yds

Hope this helps!!!

Answer:

Option 4) -$45 per month; the amount of money withdrawn per month.

Step-by-step explanation:

The rate of change is 45. Before he began taking money out to pay for his classes[month 0], he had $190. Since then, every month, $45 have been withdrawn.

Answer:

Step-by-step explanation:

The ways that they are the same are.

Answer:

35°

Step-by-step explanation:

From the sketch made, to obtain B we use the cosine angle formula :

We have 2 so des and an included angle

Cos B = (a² + c² - b²) / 2ac

First we obtain the side c

c² = a² + b² - 2ab CosC

c² = 11.2² + 6.7² - 2(11.7 * 6.7) * cos 72

c = 11.13

Using the value of c

Cos B = (a² + c² - b²) / 2ac

CosB = (11.2² + 11.13² - 6.7²) / (2*11.2*11.13)

Cos B = 204.4269 / 249.312

B = Cos^-1(204.4269 / 249.312)

B = 34.9°

9514 1404 393

Answer:

  C

Step-by-step explanation:

The step shown indicates that y was eliminated from the equations. For choices A, B, D, this is done by adding the equations together (the y-coefficients are opposites). The result of doing that gives x-terms of 4x, 0x, and 0x, respectively. These x-terms do not match the one given: 2x.

For choice C, the y-term is eliminated by subtracting twice the second equation from the first. Doing that gives ...

  (4x +2y) -2(x +y) = (14) -2(3)

  4x +2y -2x -2y = 14 -6 . . . . eliminate parentheses

  2x = 8 . . . . . . . . . . . . . . collect terms

Answer:

4+(3 times x)= height of balloon.   x = seconds

Step-by-step explanation:

I hope this helps you! :D

Answer:

[tex]P(6am-12\ noon) = 0.305[/tex]

[tex]P(12\ noon - 6pm) = 0.143[/tex]

[tex]P(6pm-12\ midnight) = 0.322[/tex]

[tex]P(12\ midnight - 6am) =0.230[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{cc}{Time} & {Inventors} & {6am - 12\ noon} & {295} & {12\ noon -6pm} & {138} & {6pm - 12\ midnight} & {311} & {12\ midnight - 6am} & {222} & {Total} & {966} \ \end{array}[/tex]

Required

The probability of each time interval

To do this, we simply divide the number of inventors in the interval by the total inventors (966)

So, we have:

[tex]P(6am-12\ noon) = \frac{6am-12\ noon}{Total}[/tex]

[tex]P(6am-12\ noon) = \frac{295}{966}[/tex]

[tex]P(6am-12\ noon) = 0.305[/tex]

[tex]P(12\ noon - 6pm) = \frac{12\ noon - 6pm}{Total}[/tex]

[tex]P(12\ noon - 6pm) = \frac{138}{966}[/tex]

[tex]P(12\ noon - 6pm) = 0.143[/tex]

[tex]P(6pm-12\ midnight) = \frac{6pm-12\ midnight}{Total}[/tex]

[tex]P(6pm-12\ midnight) = \frac{311}{966}[/tex]

[tex]P(6pm-12\ midnight) = 0.322[/tex]

[tex]P(12\ midnight - 6am) =\frac{12\ midnight - 6am}{Total}[/tex]

[tex]P(12\ midnight - 6am) =\frac{222}{966}[/tex]

[tex]P(12\ midnight - 6am) =0.230[/tex]

Given:

The equation of a line is:

[tex]2y+3x=10[/tex]

The line is dilated by factor 3.

To find:

The result of dilation.

Solution:

The equation of a line is:

[tex]2y+3x=10[/tex]

For [tex]x=0[/tex],

[tex]2y+3(0)=10[/tex]

[tex]2y+0=10[/tex]

[tex]y=\dfrac{10}{2}[/tex]

[tex]y=5[/tex]

For [tex]x=2[/tex],

[tex]2y+3(2)=10[/tex]

[tex]2y+6=10[/tex]

[tex]2y=10-6[/tex]

[tex]2y=4[/tex]

Divide both sides by 2.

[tex]y=\dfrac{4}{2}[/tex]

[tex]y=2[/tex]

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

[tex](x,y)\to (3x,3y)[/tex]

Using this rule, we get

[tex]A(0,5)\to A'(3(0),3(5))[/tex]

[tex]A(0,5)\to A'(0,15)[/tex]

Similarly,

[tex]B(2,2)\to B'(3(2),3(2))[/tex]

[tex]B(2,2)\to B'(6,6)[/tex]

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-15=\dfrac{6-15}{6-0}(x-0)[/tex]

[tex]y-15=\dfrac{-9}{6}(x)[/tex]

[tex]y-15=\dfrac{-3}{2}x[/tex]

Multiply both sides by 2.

[tex]2(y-15)=-3x[/tex]

[tex]2y-30=-3x[/tex]

[tex]2y+3x=30[/tex]

Therefore, the equation of the line after the dilation is [tex]2y+3x=30[/tex].

Answer:

1/2 or 0.5

Step-by-step explanation:

All possible odd values on a 6-sided die include 1, 3, and 5; that is 3 values out of 6 total values. 3/6 or 1/2 is a 0.5 probability.

Answer:

A) 48m + 12 and 3(2m + 4 + 14m)

B) 48m + 12 is equivalent to 6(m + 2 + 7m) because if you distribute the 6 to everything inside the parentheses, you get 6m + 12 + 42m. This can be simplified further by adding 6m and 42m together, leaving you with 48m + 12.  

C) m = 2

6(m + 2 + 7m)

6[2 + 2 + 7(2)]

6(4 + 14)

6(18) 1

108

3(2m + 4 + 14m)

3[2(2) + 4 + 14(2)]

3(4 + 4 + 28)

3(8 + 28) 3

(36) 108

108 = 108  

Answer:

F= 60.256

D = 29.744

Step-by-step explanation:

This is a completely different from the way usually I do it

B = arcsin(b·sin(A)a)

= 1.05166 rad = 60.256°

180-60.256-90 = 29.744°

Answer:

umm not sure on this one either 9328.71

Step-by-step explanation:

Perpendicular Definition:

[tex] \large \boxed{m_1m_2 = - 1}[/tex]

Slopes of two different equations multiply each others and must equal to -1. We can also say that the perpendicular occurs only if both equations are negative reciprocal to each others. For example, we are given the equation of y = 2x. The perpendicular to y = 2x would be y = (-1/2)x. See how both are reciprocal to each others.

From the equation below:

[tex] \large{x + 5y = - 2}[/tex]

Since the equation is in the form of Ax+By = C. It is better to use the another slope formula which is:

[tex] \large \boxed{m = - \frac{A}{B} }[/tex]

From the equation above, use the slope formula to find the slope.

[tex] \large{m = - \frac{1}{5} }[/tex]

Therefore the equation has a slope of -1/5. Next to find the perpendicular equation to the original equation. Since our slope is -1/5 - that means the negative reciprocal of -1/5 is 5. Therefore the slope of perpendicular line is 5.

Next we will be using the point-slope form below:

[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]

Given the y1 and x1 or (x1,y1) are the points. Our perpendicular slope is 5 which passes through the point (3,0). Substitute both slope and the point in.

[tex] \large{y - 0 = 5(x - 3)}[/tex]

Simplify in the slope-intercept form as we get:

[tex] \large{y = 5x - 15}[/tex]

Answer

Hope this helps and let me know if you have any doubts!