assume that random guesses are made for 8 multiple choice questions on an SAT test, so that there are n=9 trials, each with probability of success (correct) given by p=0.6. find the indicated probability for the number of correct answers. find the probability that the number x of correct answers is fewer than 4.

Answer:

The two types of income are - salary and commission.

Step-by-step explanation:

The two types of income that someone in a full-time sales job usually receives is a salary and commission.

The salary is the base pay that one receives regardless of the sales target they have.

The commission is that extra money that is also called incentive. This is based on the number of items you sell.

The commission can be overall increase in the pay or per item sales based.

Therefore, these two things generate the total income paid to a sales person.

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

My opinion is that you meant "f(x) = c."  This would be a constant function whose graph is a horizontal line, y = c.

If this graph were translated 6 units to the right, the function would not change.

However, if this function f(x) = c were translated 2 units up, the new function would be g(x) = c + 2.

Answer: did u ever find out the answer?

Step-by-step explanation:

Answer: $682.50

Step-by-step explanation:

The cost for Stefan’s insurance is determined by the row of data for a 36 year old male. A 10-year policy has a cost of $4.55 per thousand dollars of coverage. In order to determine the total cost you need to determine the amount of thousands of coverage, which is $150,000/1,000 = 150. The total annual cost is 150 x $4.55 = $682.50.

The correct answer is C = 9.

Step by step:

Subtract 12 - 9 = 3

3 + 9 = 12.

It’s that simple. Hold this helps!

The value of c is 9 makes the equation true.

It is given that the equation 12 - 9 + c =12.

It is required to find the value of c that makes the equation true.

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

We have a linear equation in one variable:

12 - 9 + c = 12

-9 + c =0   (subtract 12 on both sides)

c = 9   ( add 9 on both sides)

Thus, the value of c is 9 makes the equation true.

Learn more about the linear equation here:

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Answer:

wats part A?

Step-by-step explanation:

Give me the data:)

First we need to simplify [tex]\frac{.036}{12}[/tex] to 0.003.

We get 3000(1+0.003)[tex]^{72}[/tex]

Now we simplify 1+0.0031+0.003 to 1.0031.003.

3000×1.00[tex]3^{72}[/tex]

Simplify {1.003}^{72}1.003 to 1.2407011.240701.

3000×1.240701

Then we simplify to 3722.103387.

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Answer:

The solution in the attached figure

[tex]m<A=43\°[/tex]

[tex]m<B=137\°[/tex]

[tex]m<C=43\°[/tex]

[tex]m<D=43\°[/tex]

[tex]m<E=137\°[/tex]

[tex]m<F=137\°[/tex]

[tex]m<G=43\°[/tex]  

Step-by-step explanation:

see the attached figure with letters to better understand the problem

Part 1) Find the measure of angle A

we know that

[tex]m<A+137\°=180\°[/tex] ------> by supplementary angles

so

[tex]m<A=180\°-137\°=43\°[/tex]

Part 2) Find the measure of angle B

we know that

[tex]m<B=137\°[/tex] ------> by vertical angles

Part 3) Find the measure of angle C

we know that

[tex]m<C=m<A[/tex] ------> by vertical angles

so

[tex]m<C=43\°[/tex]

Part 4) Find the measure of angle D

we know that

[tex]m<D=m<A[/tex] ------> by corresponding angles

so

[tex]m<D=43\°[/tex]

Part 5) Find the measure of angle E

we know that

[tex]m<E+m<D=180\°[/tex] ------> by supplementary angles

so

[tex]m<E+43\°=180\°[/tex]

[tex]m<E=180\°-43\°=137\°[/tex]

Part 6) Find the measure of angle F

we know that

[tex]m<F=m<E[/tex] ------> by vertical angles

so

[tex]m<F=137\°[/tex]

Part 6) Find the measure of angle G

we know that

[tex]m<G=m<D[/tex] ------> by vertical angles

so

[tex]m<G=43\°[/tex]

The alternate interior angles to 137° are also 137°, the corresponding angles are 117°, and the supplementary angles are 43°.

The image shows a pair of parallel lines that are cut by a transversal. Since the parallel lines are cut by a transversal, we can use the following angle relationships:

Alternate interior angles are equal.

Corresponding angles are equal.

Supplementary angles add up to 180 degrees.

Label the given angle

The given angle is labeled 137°.

Label the alternate interior angles

The alternate interior angles to the given angle are also 137°. .

Therefore, we can label the following angles 137°:

The angle opposite the given angle

The angle to the right of the given angle, on the same side of the transversal

Label the corresponding angles

The corresponding angles to the given angle are equal to 117°.

Therefore, we can label the following angles 117°:

The angle above the given angle, on the same side of the transversal

The angle to the left of the given angle, on the opposite side of the transversal.

Label the supplementary angles

The supplementary angles to the 137° angles are equal to 43°.

Therefore, we can label the following angles 43°:

The angle above the 137° angle, on the opposite side of the transversal

The angle to the left of the 117° angle, on the same side of the transversal

Label the remaining angles

The remaining angles are equal to 53°.

Therefore, we can label the following angles 53°:

The angle to the right of the 117° angle, on the opposite side of the transversal

The angle below the 43° angle, on the same side of the transversal

The final image, with all of the angles labeled, is shown below:

For similar question on alternate interior angles.

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Answer:

A

Step-by-step explanation:

You can write an expression to represent the total cost of a pair of shoes. The price of the shoes is the variable r. The shoes are marked down 20% or 0.2r. So the new price of the shoes will be r - 0.2r. You will also have to pay a tax of 5% or 0.05 of the new price. This is written as 1.05(r - 0.2r). You can simplify it by doing whats in the parenthesis.

1.05(r - 0.2r) = 1.05r(0.8r) = 0.84r

Answer:

D 1\64 just did it

Step-by-step explanation:

Answer:

The length of the rectangle is [tex]9\ cm[/tex]

Step-by-step explanation:

we know that

The area of rectangle is equal to

[tex]A=LW[/tex]

In this problem we have

[tex]A=27\ cm^{2}[/tex]

so

[tex]27=LW[/tex] ------> equation A

and

[tex]A=2w^{2}+3w[/tex]

so

[tex]27=2w^{2}+3w[/tex]

[tex]2w^{2}+3w-27=0[/tex]

The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to

[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]2w^{2}+3w-27=0[/tex]

so

[tex]a=2\\b=3\\c=-27[/tex]

substitute in the formula

[tex]w=\frac{-3(+/-)\sqrt{3^{2}-4(2)(-27)}} {2(2)}[/tex]

[tex]w=\frac{-3(+/-)\sqrt{225}} {4}[/tex]

[tex]w=\frac{-3(+/-)15} {4}[/tex]

[tex]w=\frac{-3(+)15} {4}=3[/tex]

[tex]w=\frac{-3(-)15} {4}=-4.5[/tex]

The solution of the quadratic equation is

[tex]w= 3\ cm[/tex]

Find the value of L

[tex]27=L(3)[/tex]

[tex]L=27/3=9\ cm[/tex]

[tex] \frac{v + 9}{3} = 8[/tex]

[tex]3 \times \frac{v + 9}{3} = 8 \times 3[/tex]

[tex]v + 9 = 24[/tex]

[tex]v = 24 - 9[/tex]

[tex]v = 15[/tex]

Answer: 15

Step-by-step explanation:

8 x 3 = 24

24 - 9 = 15

So, 15 + 9 = 24 divided by 3 = 8

Answer:

256 square units

Step-by-step explanation:

area = side²

14²=256

[tex]Area \: of \: the \: mirror:A_{m}= {r}^{2} \pi = {(4x)}^{2} \pi = 16 {x}^{2} \pi \\ Area \: of \: the \: frame: A_{f} = {a}^{2} = {(16x)}^{2} = 256 {x}^{2} \\ Area \: between \: frame \: and \: mirror:A = A_{f} - A_{m} = 256 {x}^{2} - 16 {x}^{2} \pi = 16 {x}^{2} (16 - \pi)[/tex]

Answer:  The length of all three sides of the reflecting pool are 8 feet , 17 feet and 16 feet.

Step-by-step explanation:

Let sides along the building be 'x',  then the measure of hypotenuse = x+9 and the measure of third side = 7+x

Since , the reflecting pool is shaped like a right triangle.

Then , by using Pythagoras theorem , we have

[tex](x+9)^2=x^2+(x+7)^2\\\\\Rightarrow\ x^2+81+18x=x^2+x^2+49+14x\ \ [\text{Using }(a+b)^2=a^2+b^2+2ab ]]\\\\\Rightarrow\ x^2+81+18x=2x^2+49+14x\\\\\Rightarrow\ x^2-4x-32=0\\\\\Rightarrow\ x^2-8x+4x-32=0\\\\\Rigtarrow\ x(x-8)+4(x-8)=(x-8)(x+4)\\\\\Rightarrow\ x=8\ or -4[/tex]

But length cannot be negative , it means x= 8

Now, the length of side along building = 8 feet

Length of hypotenuse = 9+8 =17 feet

Length of third side = 8+7= 16 feet

Final answer:

Using the Pythagorean Theorem and setting the length of the side along the building as x, we solve the quadratic equation to find that the side along the building is 8 feet, the third side is 15 feet, and the hypotenuse is 17 feet.

Explanation:

To solve for the lengths of all three sides of the reflecting pool, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two legs (a and b). Let's denote the length of the side along the building as x. Therefore, the hypotenuse will be x + 9 feet and the third side will be x + 7 feet. The equation can be set up as follows:

x² + (x + 7)² = (x + 9)²

Expanding the squares and solving for x gives us:

x² + x² + 14x + 49 = x² + 18x + 81

Combine like terms and move everything to one side:

x² + 14x + 49 - 18x - 81 = 0

x² - 4x - 32 = 0

Factoring the quadratic equation:

(x - 8)(x + 4) = 0

Since a length cannot be negative, we take the positive solution x = 8 feet. Now we can find the lengths of each side:

Side along the building: 8 feet

Third side (7 feet longer than the side along the building): 8 + 7 = 15 feet

Hypotenuse (9 feet longer than the side along the building): 8 + 9 = 17 feet

Answer:

20 percent tip

Step-by-step explanation:

Answer: 20% tip (i got the answer for that one right :)! )

Answer:

[tex]d\geq 5\\\\w<7\\\\a\leq 4[/tex]

Step-by-step explanation:

For each you have to look at three things - the direction of the arrow, if the circle is filled in, and the number the point is located on.

If the arrow is pointed right and the numbers are increasing, you use the greater than sign (>).

If the arrow is pointed left and the numbers are decreasing, you use the less than sign (<).

If the circle is filled in, it means you use the greater than or equal to (≥) less than or equal to signs (≤).

For the first inequality, the arrow is pointing right, the circle is filled in, and the point is on five so the inequality is [tex]d\geq 5[/tex].

For the second inequality, the arrow is pointing left, the circle is not filled in, and the point is on seven so the inequality is [tex]w<7[/tex].

For the third inequality, the arrow is pointing left, the circle is filled in, and the point is on four so the inequality is [tex]a\leq 4[/tex].

There are infinitely many rational numbers in that slot. In fact, in ANY slot.

Here are a few of them

0.34, 0.35, 0.36, 0.37

0.40, 0.41, 0.4101, 04102, 0.41021, 0.41022, 0.410221, 0.4102210000001, etc.

Answer:

A=4, B=3/4

Step-by-step explanation:

it says that she has four suit jackets, and since there are 16 possibilities(4 x 4)

and 4 of them have the same colors, we do 16-4/16, which is 12/16, and we simplify that to 3/4

Final answer:

Adrell has 16 different jacket/shirt outfits and there is a 75% probability that the jacket and shirt will not be the same color.

Explanation:

Adrell has four suit jackets (white, blue, green, and tan) and four dress shirts in the same colors. To find the number of different jacket/shirt outfits, we multiply the number of options for the jacket by the number of options for the shirt. Since there are 4 options for the jacket and 4 options for the shirt, there are a total of 16 different jacket/shirt outfits.

If Adrell grabs a suit jacket and a dress shirt without looking, the probability that they will not be the same color can be found by calculating the number of favorable outcomes (jacket and shirt of different colors) divided by the total number of possible outcomes. Since there are 4 jackets and 4 shirts, the total number of possible outcomes is 4 * 4 = 16. The number of favorable outcomes is when the jacket and shirt are of different colors, which is 4 * 3 = 12. Therefore, the probability that the jacket and shirt will not be the same color is 12/16 = 3/4 or 75%.

The absolute value is 10 so

|-10| = B.10

Answer:

528

Step-by-step explanation:

x = 480

1.1 x = 480 * 1.1

480 + 48 = 528

Timothy traveled 528 miles using the gasoline from Smith's Station, which is 10% farther than the 480 miles he traveled with gasoline from Jack's Station.

To calculate how far Timothy traveled using the gasoline from Smith's Station, we need to determine what 10% more than the 480 miles he traveled using gasoline from Jack's Station is. First, let's find 10% of 480 miles:

Now, let's add this additional distance to the original 480 miles to find the total distance traveled with gas from Smith's Station:

Therefore, Timothy traveled 528 miles on a tank of gas from Smith's Station.

Answer:

  8m

Step-by-step explanation:

We assume you're describing a geometric sequence with first term m and common ratio 2. Then the n-th term is ...

  a[n] = m·2^(n-1)

and the fourth term is

  a[4] = m·2^(4-1) = 8m

Answer:

A ray is a part of a line that has one endpoint and goes on infinitely in only one direction you can't measure the length of a ray ..hope this helps

Step-by-step explanation:

The endpoint of a ray is the starting point from which the ray extends indefinitely in one direction. It's different from a line, which has no endpoint as it extends indefinitely in both directions.

In mathematics, specifically in geometry, a ray is a part of a line that starts at a particular point, known as the initial point, origin, or endpoint, and extends indefinitely in one direction. This is different from a line, which extends in both directions. When you draw a ray, you put an arrow on one end to show that it continues without end in that direction. The

end point of a ray is essentially the starting point from which the ray extends. For example, if you have a ray AB, point A is the endpoint and the ray extends towards point B but beyond it indefinitely. Thus, a ray has only one endpoint, not two.

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Answer:

The equation of the line is y = x + 1

Step-by-step explanation:

In order to find this, start with two points that are on the line. We'll use (0, 1) and (1, 2). Now we can use the slope formula to find the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (2 - 1)/(1 - 0)

m = 1/1

m = 1

Now that we have this, we can use that slope and a point in point-slope form. Then we solve for y to get the equation.

y - y1 = m(x - x1)

y - 1 = 1(x - 0)

y - 1 = 1x

y = 1x + 1

4c + 5c = 92 - 2

9c = 90

c = 10

22 chairs were not used in the assembly.

➷ Area = length x width

Substitute the values in:

Area = 7 x 3

Solve:

Area = 21

The area is 21 cm^2

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

h1=2.75 and h2=-0,75

Step-by-step explanation:

You need to use the cuadratic formula for this case (see apex)

Best regards

Answer:

= -43

Step-by-step explanation:

Evaluating the expression;

(–1)8 + (–1)7 + –16 + –14 – (–1)2

We can use Bodmas

We remove the brackets first

(–1)8 + (–1)7 + –16 + –14 – (–1)2

We get

-8 + - 7 + -16 + -14 - -2

but; - × + = - and - × - = +

Thus;

-8 - 7 - 16 - 14 + 2

= -8 -7 - 16 - 12

= -43

Answer:

Third option

x ≠2 and x cannot be any value for which v(x) = 0

Step-by-step explanation:

In this problem we are asked to find the domain of the function

[tex](UoV)(x)[/tex]

We know that [tex](UoV)(x) = U(V(x))[/tex].

We know that:

Domain of U(x) is all real numbers except x = 0

Domain of V(x) is all real numbers except x = 2.

Then the domain of the composite function U(V (x)) is:

all real numbers except x = 2. (since x = 2 does not belong to the domain of V(x) and all values of x for which V(x) = 0 (since x = 0 does not belong to the domain of U(x))

Finally the domain of [tex](UoV)(x)[/tex]) is:

[tex]x \neq 2[/tex] and [tex]V(x) \neq 0[/tex]

Answer:

The answer is C on edge.

Answer:

1) pounds

2) grams

3) tons

Step-by-step explanation:

The suitable measurements for the scenarios are:

1) A piano weighs 5.5 × 10² units

  550 Ib (pounds)

2) A grain of salt weighs 1.02 × [tex]10^-3[/tex]  units

    0.00102 grams

3) A tractor trailer weighs 8.8 × [tex]10^1[/tex] units

    88 ton

10²g = 1kg

10^-3g = miligrams

10^1 g = decagram

Answer:

pounds, ounces, tons

Step-by-step explanation: