HELP WILL MARK BRAINIEST Rewrite the following polynomial in standard form.

Answer:

25

Step-by-step explanation:

（2x+15）+x+90=180

3x=75

x=25

Answer:

62.5

Step-by-step explanation:

The simplified result of √8 * √32 is 16.

To multiply and simplify the expression √8 * √32, we can simplify the square roots individually and then multiply them together.

First, we simplify the square roots:

√8 can be simplified as √(4 * 2). Since the square root of 4 is 2, we can write it as 2√2.

Similarly, √32 can be simplified as √(16 * 2), which is 4√2.

Now, we can multiply the simplified square roots:

(2√2) * (4√2) = 2 * 4 * √2 * √2 = 8 * 2 = 16.

Therefore, the simplified result of √8 * √32 is 16.

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The following operations are used to transform the quadratic equation y = x² into parabolas in standard form:

Case 1

Horizontal translation, vertical translation. Horizontal stretch.

Case 2

Horizontal translation, vertical translation. Reflection in the x-axis, vertical stretch.

Case 3

Horizontal translation, vertical translation. Horizontal stretch.

In this question we find three cases of parabolas in standard form, that is, quadratic equations of the form:

y - k = a · (x - h)²

Where:

This parabola is translated both horizontally and vertically by using the following definitions:

Horizontal translation

x → x - a, where a > 0 for rightward translation.

Vertical translation

y → y - b, where b > 0 for upward translation.

Horizontal dilation

f(x) → f(k · x), where k is a non-negative real number.

Vertical dilation

f(x) → k · f(x), where k is a non-negative real number.

Reflection in the x-axis

f(x) → - f(x)

The procedure is summarize below:

Finally, we summarize the procedure for each case:

Case 1

g(x) = x²

g(x) = [(1 / 2) · x²]

g(x) + 4 = [(1 / 2) · (x - 2)]²

Horizontal shift: 2 units right, vertical shift: 4 units down. Horizontal stretch.

Case 2

f(x) = x²

f(x) = - (1 / 2) · x²

f(x) - 2 = - (1 / 2) · (x - 4)²

Horizontal shift: 4 units right, vertical shift: 2 units down. Reflection in the x-axis, vertical stretch.

Case 3

h(x) = x²

h(x) = 2 · x²

h(x) - 5 = [2 · (x + 2)]²

Horizontal shift: 2 units left, vertical shift: 5 units up. Horizontal stretch.

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Answer:

Three months to five years

Step-by-step explanation:

look it up

Answer:

C) No (two y-values for one x-value)

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

301.59

Step-by-step explanation:

please mark brainliest

Answer:

Step-by-step explanation:

V≈301.59ft³

=πr2h=π·42·6≈301.59289ft³

The answers are:

a) The z-score for a light bulb that lasts 500 hours is -10.

b) For a sample of 20 light bulbs, the probability that the average lifespan will be less than 980 hours is approximately 0.0367, or 3.67%.

c) The z-score for a light bulb that lasts 400 hours is -12. This is even more unusual than a lifespan of 500 hours.

d) Given the lifespan follows a normal distribution with a mean of 1000 hours, 50% of the light bulbs will have a lifespan less than 1000 hours.

a) The z-score is calculated as:

z = (X - μ) / σ

Where X is the data point, μ is the mean, and σ is the standard deviation. Here, X = 500 hours, μ = 1000 hours, and σ = 50 hours. So,

z = (500 - 1000) / 50 = -10.

The z-score for a bulb that lasts 500 hours is -10. This is far from the mean, indicating that a bulb lasting only 500 hours is very unusual for this brand of bulbs.

b) If a customer buys 20 of these light bulbs, we're now interested in the average lifespan of these bulbs. . In this case, n = 20, so the standard error is

50/√20

≈ 11.18 hours.

z = (980 - 1000) / 11.18 ≈ -1.79.

The probability that z is less than -1.79 is approximately 0.0367, or 3.67%.

c) The z-score for a bulb with a lifespan of 400 hours can be calculated as:

z = (400 - 1000) / 50 = -12.

The probability associated with z = -12 is virtually zero. So the probability of getting a bulb with a mean lifespan of 400 hours is virtually zero.

d) The mean lifespan is 1000 hours, so half of the light bulbs will have a lifespan less than 1000 hours. Since the lifespan follows a normal distribution, the mean, median, and mode are the same. So, 50% of light bulbs will have a lifespan less than 1000 hours.

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Step-by-step explanation:

it is a parallelogram. so, the opposite sides are equally long.

so, the perimeter is easy :

2×horizontal + 2×slanted = 2×10 + 2×15 = 50 units.

for the area :

the graphic seems to indicate it, but we cannot rely on the assumption that the top left and the bottom right vertexes are exactly on top of each other. that means we cannot rely on the suggestion that the bottom dotted line is 10 units long.

so, we have to work around that.

we can imagine to duplicate the 6-line at the top left vertex.

then the area of the parallelogram is the sum of 2 congruent triangles bottom left of top right

and

the rectangle in the middle.

let's start with the bottom left triangle.

the Hypotenuse is 10, leg1 is 6.

so, based on Pythagoras

10² = 6² + leg2²

100 = 36 + leg2²

leg2² = 64

leg2 = 8

that means the remaining length of the left 15 side is

15 - 8 = 7

so, the area of the inner rectangle is 7×6 = 42

and the area of the bottom left triangle is

baseline × height / 2 = 8 × 6 / 2 = 8×3 = 24

the top right triangle is congruent to the bottom left triangle, so its area is also 24.

the total area of the parallelogram is

24 + 42 + 24 = 90

The perimeter and area of the shaded parallelogram are 50 units and 111.8 units respectively.

A parallelogram is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.

Therefore, the perimeter of a parallelogram is the sum of the whole 4 sides of the parallelogram.

perimeter of a parallelogram = 15 + 15 + 10 + 10

perimeter of a parallelogram = 30 + 20

perimeter of a parallelogram = 50 units

Hence,

area of a parallelogram = bh

where

Using Pythagoras's theorem, let's find the height of the parallelogram.

x² = 15² - 10²

x² = 225 - 100

x = √125

x = 11.1803398875

x = 11.18 units

Hence,

area of the parallelogram = 11.18 × 10

area of the parallelogram = 111.8 units²

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Answer:

Manisha age = 15 years

Step-by-step explanation:

Let

Manisha age = x

Amir = 2/3 of Manisha age

Amir = 10 years

Amir:

2/3 of x = 10

2/3 * x = 10

2/3x = 10

x = 10 ÷ 2/3

= 10 × 3/2

= (10*3)/2

= 30/2

= 15

x = 15 years

Therefore,

Manisha age = 15 years

The sample space of this probability model is: {HH, HT, TH, TT}.

When flipping a fair coin twice and counting the number of heads, we can represent the outcomes using the terms H (head) and T (tail).

The sample space of this probability model includes all possible outcomes:
First flip is H, second flip is H (HH)
First flip is H, second flip is T (HT)

First flip is T, second flip is H (TH)
First flip is T, second flip is T (TT).

The sample space of this probability model consists of all possible outcomes or combinations of the coin flips.

In this case, we have two coin flips, each of which can result in either heads (H) or tails (T).

Therefore, there are a total of four possible outcomes, which are:

{HH, HT, TH, TT}

where:

HH represents the outcome where both coin flips result in heads

HT represents the outcome where the first coin flip results in heads and the second coin flip results in tails

TH represents the outcome where the first coin flip results in tails and the second coin flip results in heads

TT represents the outcome where both coin flips result in tails

Each of these outcomes is equally likely, assuming the coin is fair, and together they form the sample space of the probability model.

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The difference between the 2 in the tens place and 2 to its left column in the given number 2,222.222 is 180.

According to the number system, a number can be written in its expanded form according to their pace value in the chart.

2,222.222 can be written as 2×1000+2×100+2×10+2X1+2×1/10+2×1/100+2×1/1000

The place value of 2 in the tens place in given number 2,222.222 = 20

The place value of 2 in its left column in the given number 2,222.22  = 200

Difference between the place of 2 in tens place and 2 in its left column

= 200 - 20

= 180

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The correct answer is option D. 1 1/2. This would mean that the difference between the medians is 1.5 times larger than the interquartile range for the boys.

The median is a measure of central tendency in a set of data, and it is the value that separates the data into two equal parts, with half of the values falling below it and half of the values falling above it. The interquartile range (IQR) is a measure of dispersion that describes the range of values within the middle 50% of the data.

In this case, the difference between the medians of boys and girls is described as a multiple of the interquartile range for the boys. This multiple would represent how many times larger or smaller the difference between the medians is than the IQR for the boys.

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The 24 walls must paint by each volunteer if the work is divided evenly and the club has 36 volunteers.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

As part of a community-service project, a local club has decided to paint 864 walls across town. The club has 36 volunteers.

Total number of volunteers = 36

Number of walls = 864

The number of walls each volunteer paint can be expressed as a fraction:

= 864/36

= 24

Thus, the 24 walls must paint by each volunteer if the work is divided evenly and the club has 36 volunteers.

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The absolute guessing errors for all 10 guesses are:

45, 5, 20, 12, 22, 15, 3, 55, 25, 30

To calculate the absolute guessing error, we need to find the absolute difference between each guess and the actual number of marbles (145).

Absolute guessing error for each guess:

|190 - 145| = 45

|150 - 145| = 5

|125 - 145| = 20

|133 - 145| = 12

|167 - 145| = 22

|160 - 145| = 15

|148 - 145| = 3

|200 - 145| = 55

|170 - 145| = 25

|115 - 145| = 30

Therefore, the absolute guessing errors for all 10 guesses are:

45, 5, 20, 12, 22, 15, 3, 55, 25, 30

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The average number of callers in the call centre is 112.5.

Number of callers received by the call centre per minute = 25

Average time each person spends on hold = 1 minute

Average time each caller spends talking = 3.5 minutes

The total amount of time of spending by each caller in the call centre is,

= Time spend on hold + Time spend on talking

= 1 + 3.5

= 4.5 minutes

The total amount of time spent by each caller in the call centre is 4.5 minutes.

The average number of callers in the call centre is,

= Total time spent in the call centre × Number of callers per minute

= 4.5 × 25

= 112.5

Therefore, the average number of callers in the call centre is 112.5.

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Answer:

x= -8     x=2

Step-by-step explanation:

x^2 +6x - 6 = 10

Subtract 10 from each side

x^2 +6x -16 =0

Factor  what 2 numbers multiply to -16 and add to 6

8*-2 = -16

8-2 = 6

(x+8) (x-2) =0

Using the zero product property

x+8 =0    x-2 =0

x= -8     x=2

Answer:

\(x=61\)

Step-by-step explanation:

We can find the angle directly above the \(2x+8\).

We know that because they both lie on a straight line, the other angle is \(180-(2x+8)=172-2x\).

Aha! We have a path to the solution!

\(172-2x=x-11\) because of the parallel line angle theorem(I forget what it's called).

We then add \(2x\) and \(11\) to both sides to get \(183=3x\).

Lastly, we divide by \(3\) to get \(61=x\).

So, \(\boxed{x=61}\) and we're done!

Answer:

5 pounds

Step-by-step explanation:

Answer:

shouldn't it be all the same answer since it looks like a equilateral triangle

Answer:

R___S____T

RT = RS+ ST

5.2 = RS + 3.4

RS = 5.2 - 3.4

RS = 1.8

I hope I helped you^_^

The R-values of 1 in the correlation matrix indicate a perfect positive correlation between a variable and itself. In other words, a variable will always have a perfect correlation with itself, as any changes in its value will result in the same changes in the same variable.

The reason why the R-values are showing up twice in the correlation matrix is that it is a symmetric matrix, where the correlations between variable A and variable B are the same as the correlations between variable B and variable A. The R-values of 1 in the matrix represent a perfect correlation between two variables, meaning that they have a strong linear relationship and move in the same direction. This can happen when two variables are measuring the same thing or are highly related.
R-values are showing up twice because a correlation matrix is symmetrical. This means that the correlation between variable A and variable B is the same as the correlation between variable B and variable A, so the values are repeated across the diagonal.

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Answer:

What is the probability that a randomly selected person is on the swim team?

28 out of 67 people are on the swim team

so that's 28/67

41.7910448% round to the nearest tenth

41.8% is the answer.

Step-by-step explanation:

Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

The quadratic equation that models the fuel efficiency of the car is given by:

y = -0.01(x - 55)² + 32.

The equation of a quadratic function, of vertex (h,k), is given by the following rule:

y = a(x - h)² + k

In which the parameters of the equation are described as follows:

For a certain model of car the fuel efficiency is maximized at 32 miles per gallon with a speed of 55 mph, hence the vertex is given by:

(h,k) = (55,32).

Hence the rule is:

y = a(x - 55)² + 32

When x = 65, y = 31, hence we can find the leading coefficient a as follows:

31 = a(65 - 55)² + 32

100a = -1

a = -0.01.

Hence the equation is given by:

y = -0.01(x - 55)² + 32.

The problem is incomplete, hence we suppose that it asks for the quadratic model of the car's fuel efficiency.

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Answer:

35

Step-by-step explanation:

A triangle has a total of 180 degrees. To find the missing angle, we subtract 113 and 32 from 180 to get the answer.

Answer:

h = 35

Step-by-step explanation:

113 + 32 + h = 180

113 + 32 = 145

180 - 145 = 35

so

h = 35

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The cost of 3 pens will be 27P and the cost of 2 rulers will be 30p.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that the cost of 5 pens and 3 rulers is 90p the cost of 2 pens and 1 ruler is 33p. the cost of 3 pens and 2 rulers will be calculated as below:-

From the equations and solve:-

5p + 3r = 90p

2p + r = 33p

5p + 3r = 90p

-6p - 3r = -99p

Cost of one pen P = 9

The cost of the 1 ruler:-

2p + r = 33p

2 x 9 + r = 33

18 + r = 33

r = 33 - 18

r = 15

Cost of 3 pens = 3 x 9 = 27

Cost of 2 rulers = 2 x 15 = 30

Therefore, the cost of 3 pens will be 27P and the cost of 2 rulers will be 30p.

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The answer to the given question is option b. Skewed to the left.When the mean is less than the median, the distribution is usually skewed to the left. This means that the majority of the data are above the mean, and there is a long tail on the left side that drags the mean down.

When the mean is less than the median, the distribution is generally skewed to the left. This implies that most of the data is above the mean, and there is a long tail on the left side that drags the mean down.The shape of a distribution is determined by the relative frequencies of observations at each value. A symmetric distribution is one in which the frequencies are distributed evenly around the center of the distribution.

The mean and median are equal in a symmetric distribution.A skewed distribution is one in which the frequencies are unevenly distributed around the center of the distribution. A distribution can be skewed to the left or to the right, depending on the direction of the tail.A distribution is skewed to the left if there is a long tail on the left side of the distribution that drags the mean to the left of the median. This is often referred to as a negative skew.A distribution is skewed to the right if there is a long tail on the right side of the distribution that drags the mean to the right of the median. This is often referred to as a positive skew.

Therefore, when the mean is less than the median, the distribution is usually skewed to the left. This means that the majority of the data are above the mean, and there is a long tail on the left side that drags the mean down.

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