When Sally decided to run for class treasurer, she predicted how many votes she would get. After the election, Sally found out she had received 150 votes. She had predicted she would get 20% fewer votes than that. How many votes did Sally predict she would get?

Step-by-step explanation:

please mark me as brainlest

[tex]===================================[/tex]

Step 1:

Use the Distributive Property:

[tex]\hookrightarrow\sf{-(3w+1)=-3w-1}[/tex]

Hence, the equation is

[tex]\hookrightarrow\sf{6-3w-1=8w-2}[/tex]

Move 8w to the left side

[tex]\hookrightarrow\sf{6-3w-1-8w=-2}[/tex]

Combine Like Terms

[tex]\hookrightarrow\sf{6-3w-8w-1=-2}[/tex]

Simplify

[tex]\hookrightarrow\sf{6-11w-1=-2}[/tex]

Move 6 and 1 to the right

[tex]\hookrightarrow\sf{-11w=-2+1-6}[/tex]

[tex]\hookrightarrow\sf{-11w=-7[/tex]

Divide both sides by -11

[tex]\hookrightarrow\sf{w=7/11}\\=============================[/tex]

The probability that out of 20, 14 agree to answer is:

P(14) = 0.109

We know that the 80% of the respondents will agree to answer the opinion poll (and 20% don't).

Then the probability that a random respondent agrees to answer the poll is 0.8

Now, the probability that out of 20, 14 agree to answer, is:

[tex]P(14) = C(20, 14)*(0.8)^{14}*(0.2)^6[/tex]

Where C(20, 14) is the number of different combinations of 14 elements that we can make out of the 20 elements (the number of permutations).

[tex]C(20, 14) = \frac{20!}{(20 - 14)!*14!} = \frac{20*19*18*17*16*15}{6*5*4*3*2} = 38,760[/tex]

Replacing that in the probability, we get:

[tex]P(14) = 38,760*(0.8)^{14}*(0.2)^6 = 0.109[/tex]

If you want to learn more about probability, you can read:

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Answer:

Step-by-step explanation:

Exponential function has the form

Where a- initial value, b- growth rate

Find the growth rate b

The function is

Answer:

[tex]y = 175000 \cdot {1.025}^{x} [/tex]

Step-by-step explanation:

recall exponential function:

[tex]y = a \cdot {b}^{x} [/tex]

where:

Finding the exponential function:

firstly,It says In 2010 , Cornfield Farms produced 175,000 bushels of corn. It simply refers that, The initial value is 175,000, therefore,

secondly, It assers that Each year since 2010, their total corn harvest has increased by 2.5% over the previous year, thus

finally, just plug in the value of a and b into the function,

[tex]y = 175000 \cdot {1.025}^{x} [/tex]

and we're done!

Answer:

A'=(-3,6)

B'=(-5,5)

C'=(-4,2)

D'=(-2,2)

E'=(-1,4)

Step-by-step explanation:

Simply keep the y coordinate the same on all of the points on the preimage and make the x coordinates negative.

Hope this helps!!!

Answer:

Solution:

The length of the arc part:

365 -60/360

x2x2x15=5/6 x2x2x15=252

Two segments: 2x15 = 30

All perimeter: (252 + 30) m

{divide into two parts?

Step-by-step explanation:

Is this what you wanted?

Answer:

volume = 138 cm³

Step-by-step explanation:

Equation

volume of a prism = base area × height

Given:

Substituting given values into the equation:

⇒ volume = 23 × 6

                 = 138 cm³

Answer:

Step-by-step explanation:

As the histogram is skewed to the right because there is less data on the right side. So, she is correct that is option D.

A histogram graph is a graphical representation of given data. It is a bar graph that represents a frequency distribution by rectangles separated from each other with equal spaces.

A graph shows several dogs labeled 0 to 2 on the horizontal axis and frequency on the vertical axis.

here, we can see from a given data that as the number of dogs increases the frequency on the vertical axis decreases. At 0 dogs the frequency is 20, at 1 dog the frequency is 15, At 2 dogs the frequency is 12.

The histogram is skewed to the right because there is less data on the right side as the frequency decreases.

Therefore, the histogram is skewed to the right because there is less data on the right side. So, she is correct that is option D.

Learn more about histograms here:

https://brainly.com/question/1230107

Answer:

d

Step-by-step explanation:

Answer: He uses two litres of water for one litre of flour.

Step-by-step explanation:

The difference between group 1 and group 2 is the species of group 1 are vertebrates and species of group 2 are invertebrates.

Vertebrates are those animals that have a spinal cord.

Invertebrates are those who do not have a spinal cord or vertebrae.

The animals, of group 1 are alligator, fish, frog, bird, and zebra, all are vertebrates.

The animals of group 2 are jellyfish, octopus, tarantula, and earthworms.

Thus, the correct option is C, group 1 are vertebrates, and group 2 is invertebrates.

Learn more about vertebrates

https://brainly.com/question/8825342

Answer: AAS

Step-by-step explanation:

Answer:

angle A = 153 degrees

Step-by-step explanation:

solve for the interior missing angle.

so from the interior we know that we have 2 angles

1 is 63 degrees and 1 is 90 degrees because we see that there is a right angle and all right angles = 90 degrees, we also know that the sum of all angles in a triangle should equal 180 degrees. if we have a 63 degree angle and a 90 degree angle we know that the sum of both of them is 153 degrees we still need to find that missing angle and we can do that by minusing 153 from 180 which is 27 so the measurement of the interior angle of the triangle is 27 but that is not what we are looking for but the answer is already given to us because we know that a straight line is 180 degrees so we just minus that missing angle from 180 degrees we conclude that A = 153 degrees

Answer:

See below.

Step-by-step explanation:

23,492,349

            /\

This is the hundreds place.

The place after it has a 4, so normally, we would round down. But, there is a 9 after the 4, so we round up the 4 to 5, and we round up again to the 3.

23,492,400

-hope it helps

Functions must pass the vertical line test. This means that for every x value there must be ONLY ONE y value.

We can see in this table that the x value 25 has two different y values. Therefore, this is NOT a function.

Hope this helps!

Answer:

yes

Step-by-step explanation:

If the line only goes through one point once than yes. Vertical line test.

Note: "While a function may NOT have two y-values assigned to the same x-value, it may have two x-values assigned to the same y-value. Function: each x-value has only ONE y-value!"

Using proportions, it is found that the possible amounts that he will spend on candy are represented by the inequality [tex]c \leq 54[/tex].

A proportion is a fraction of a total amount.

In this problem, each pound of candy costs $6, and he will buy at most 9 pounds, hence the maximum amount he will spend is given by:

M = $6 x 9 = $54.

Hence, the possible amounts that he will spend on candy are represented by the inequality [tex]c \leq 54[/tex].

More can be learned about proportions at https://brainly.com/profile/joaobezerra-15918078

Answer:

Step-by-step explanation:

You have correctly counted the 6 sides of the figure. A 6-sided polygon is a hexagon.

__

The length of baseboard needed is the length of the perimeter of the figure. That length is the sum of the side lengths. Starting from the lower left corner and working clockwise, the side lengths are ...

  1 ft + 5 ft + 2 ft + 1 ft + 5 ft + 10 ft = 24 ft

24 feet of baseboard are needed.

__

Additional comment

The area of the figure can be found several ways. One of them is to subtract the corner cutout area from the overall rectangle area. The overall rectangle is 10 ft wide and 4 ft high, for an area of (10 ft)(4 ft) = 40 ft². The upper left triangle cutout is 4 ft wide and 3 ft high, for an area of (1/2)(4 ft)(3 ft) = 6 ft². The upper right trapezoid cutout has bases of 1 ft and 4 ft, and a height of 4 ft, so its area is 1/2(1 ft +4 ft)(4 ft) = 10 ft².

Then the clubhouse area is 40 ft² -6 ft² -10 ft² = 24 ft².

In the case of multiplication in exponents, if the numbers are the same, their exponents are added.

7 + 8 is written to the power of x, and 3 + 2 is written to the power of y.

Answer:

Step-by-step explanation:

Answer:

(a) Kaylee earns $19.50 per hour.

(b) Kaylee earns more per hour.

Step-by-step explanation:

a)

[tex]m[/tex] = $ per hour

[tex]y = mx[/tex]

[tex](39) = m(2)[/tex]

[tex](39 = m(2)) = 19.50 = m[/tex]

b) Kaylee earns more per hour

Kaylee earns $19.50 per hour and Joey earns $16.50 per hour.

Answer:

The rate of change of function A is greater than the rate of change of function B

Step-by-step explanation:

[tex]\sf rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}[/tex]

Function A

For every increase of 1 unit in x-values, the y-values increase by 3 units.

[tex]\sf rate \ of \ change=\dfrac{3}{1}=3[/tex]

Function B

For every increase of 1 unit in x-values, the y-values increase by 2 units.

[tex]\sf rate \ of \ change=\dfrac{2}{1}=2[/tex]

As 3 > 2, the rate of change of function A is greater than the rate of change of function B

Answer:

The value of k = 16 and the measure of unknown angle is 48°

Step-by-step explanation:

=> 84°+48°+3k° = 180° { The sum of angles of a triangle is 180° }

=> 132°+3k° = 180°

=> 3k° = 180°-132°

=> 3k° = 48°

=> k = 48/3

=> k = 16

The measure of unknown angle is 3×k = 3×16 = 48°

Answer:

4.04

Step-by-step explanation:

I like to turn my fractions into decimals when I do this. Volume is found by length*width*height. In this case, it would be 3.5*1.75*4.66

The volume would be about    [tex]4ft^2[/tex]

Answer:

x=-1

Step-by-step explanation:

First we can square both sides to remove the square roots:

[tex](\sqrt{x+7})^{2} +(\sqrt{x+2})^{2} = (\sqrt{6x+13})^{2}[/tex]

Simplify:

[tex]x+7+x+2=6x+13[/tex]

Now we simplify further:

[tex]2x+9=6x+13[/tex]

Now we subtract 13 from both sides:

[tex]2x+9-13=6x+13-13[/tex]

Simplify:

[tex]2x-4=6x[/tex]

Subtract 2x from both sides:

[tex]2x-4-2x=6x-2x[/tex]

Simplify:

[tex]-4=4x[/tex]

Divide both sides by 4:

[tex]\frac{-4}{4} = \frac{4x}{4}[/tex]

Simplify:

-1=x

x=-1

(Assuming all these lines are parallel to each other)

Angle x = 70, because it is corresponding to the 70 angle.

Angle y = 70, because it is corresponding to x

Angle z = 70, because angle z and angle y are alternate angles

(corresponding angles and alternate angles are equal to each other with the condition of parallel lines)

Answer:

Step-by-step explanation:

Given the question and the image, the following are the solution steps to answer the question.

STEP 1: Define box plot.

In descriptive statistics, a box plot or boxplot is a method for graphically demonstrating the locality, spread, and skewness groups of numerical data through their quartiles.

STEP 2: Choose the correct statement

The box plot shows the minimum height, maximum height, first and third quartiles, and the median.

Therefore,

The box plot does not show the number of vases recorded

The box plot does not show the heights of mugs, just vases.

The height is measured in inches, not centimeters.

Answer:

You need to find what X= then put the answer in the box to the left

Step-by-step explanation: