Simplify.
-9 -5 -7
х
Y Z
2 6 3
X Y Z

Answer:

75

Step-by-step explanation:

Answer:

(4+7)/2 = 5.5 - median

6- mean

9- range

2,4,7,11 assending order

11,7,4,2 decending order

Step-by-step explanation:

Answer:

a=7, b=3

Step-by-step explanation:

Subtracting, we get the area of QRXY is 63 cm².

Using the area formula of a rectangle, we get 9a=63, and thus a=7.

Using the area formula again on triangle PXYS, 7b=21, and thus b=3.

The value of side 'a' is 7cm and side b is 3 cm.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

It is given that the area of PQRS is 84 square cm and the area of PSYX is 21 square cm.

The area of QRXY is calculated as,

Area QRXY = 84 - 21

Area QRXY = 63 square cm

The side a will be calculated as,

a x 9 = 63

a = 63 / 9

a = 7 cm

The side of b will be,
b x 7 = 21

b = 21 / 7

b = 3 cm

Therefore, the value of side 'a' is 7cm and side b is 3 cm.

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Answer:

what may be true

Step-by-step explanation:

i just took the test and got the answer correct, i hope this helps.

Answer:

64 inches.

Step-by-step explanation:

To find the amount of inches in 5 1/4 feet, you must first multiply 12 by 5 because there are 12 inches in one foot.
12x5=60.

The next step in order to complete the equation would be to find how many inches are in 1/4 of a foot.
To find how many inches are in 1/4 of a foot you must divide 12 by 4.
12 divided by 4= 4.

Now, you must as the two numbers together to get the total number of inches.
60+4=64.

This, 64 is your final answer.

Hope this helps! :)

The true statement is; II. Option D

From the information given, we have that;

I. The set of all second-degree polynomials with the standard operations is a vector space

II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space

III. The set of second quadrant vectors with the standard operations is a vector space

Note that;

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a) The maximum value for this data set is 31, the minimum value is 11 and the median value is 15.5.

b) Q1 13.5

Q2 15.5

Q3 24

c) 10.5

d) lower than 11 or higher than 31

e) Yes.

f) This data set is slightly positively skewed.

The median is the middle value of a set of data when the values are arranged in numerical order. It is used to find the middle value of a set of numbers or observations.

A. The values can be plotted on the boxplot as follows:

Maximum: 31

Minimum: 11

Median: 15.5

B. To find Q1, Q2 and Q3, the data must first be sorted from lowest to highest: 11; 13; 14; 15; 15; 16; 21; 26; 30; 31. Q1 is the median of the lower half of the data set (11, 13, 14, 15 and 15), which is 13.5. Q2 is the median of the entire data set (15.5). Q3 is the median of the upper half of the data set (16, 21, 26, 30 and 31), which is 24. The values can be plotted on the boxplot as follows:

Q1: 13.5

Q2: 15.5

Q3: 24

C. The Interquartile Range (IQR) is calculated by subtracting Q1 from Q3: IQR = Q3 - Q1 = 24 - 13.5 = 10.5.

D. Outliers are values that are significantly greater or lower than the majority of the data set. In this data set, values that are lower than 11 or higher than 31 would be considered outliers.

E. Yes, this data set has outliers. The value 11 is significantly lower than the majority of the data set, and the value 31 is significantly higher than the majority of the data set.

F. This data set is slightly positively skewed, as the majority of the data points are clustered around the lower end of the range, and there is a longer tail of higher values. This is indicated by the fact that the median (15.5) is lower than the mean (19.4).

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a) The maximum value of the given dataset is 31, while the minimum value is 11 and the median is 15.5.

b) Q1 = 14,

Q2 = 15.5,

Q3 = 21

c) (IQR) = 7

d) Any values below 11 or above 31

e) Yes

f) slightly positively skewed.

Median is a measure of central tendency that is calculated by taking the middle value of a set of numbers when the values are arranged in ascending or descending order.

a) Maximum value: 31,

Minimum value: 11,

Median value: 15.5

b) Q1 = 14,

Q2 = 15.5,

Q3 = 21

c) The Interquartile Range (IQR) is calculated by subtracting Q1 from Q3:

Inter Quartile Range (IQR) = Q3-Q1

=21-14

= 7

d) Any values below 11 or above 31 can be considered as outliers.

As 11 is the lowest value given and 31 is the highest value.

e) Yes, this data set has outliers. The values 31 and 11 are both outliers since they are beyond the range of the Inter Quartile Range (IQR).

The value 11 is significantly lower than the majority of the data set, and the value 31 is significantly higher than the majority of the data set.

f) This data set is slightly positively skewed.

As the majority of the data points are clustered around the lower end of the range, and there is a longer tail of higher values.

This is indicated by the fact that the median (15.5) is lower than the mean.

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Answer:

900

Step-by-step explanation:

Convert the 20% to a decimal multiply 750 by .20 to get 150 than add 750+150 to get 900

As a result, the rectangle's perimeter is 230 cm as the rectangle's base has a 69 cm width.

Four straight sides that are aligned and equal in length make up a rectangle, a two-dimensional geometric object. A rectangles has four right-angled angles (90 degrees). A rectangle can be thought of as a quadrilateral with all angles equal to 90 degrees, or as a trapezoid with two pairs of parallel sides. By multiplying the rectangle's length and breadth, the area of the rectangle may be determined. By summing the measurements of all four sides, one may get a rectangle's perimeter. In many commonplace items like window, book covers, and screens, rectangles are frequently used.

given

According to the information provided, the rectangle's base has a 69 cm width.

We also know that the height is equal to the base by two thirds. As a result, the rectangle's height can be determined as follows:

Height equals 2/3 of base height, or 69 cm.

size = 46 cm

Knowing the rectangle's base and height, we can use the following formula to get its perimeter:

P = 2l + 2w

P = 2(69 cm) + 2(46 cm) (46 cm)

P = 230 cm if P = 138 cm plus 92 cm.

As a result, the rectangle's perimeter is 230 cm as the rectangle's base has a 69 cm width.

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The complete question is: - In a rectangle the base measures 69 cm and the height is 2/3 of the base. Calculate the perimeter.[230] Please help with a photo

The equally likely events are

The probability that all three children are male

0.875.

the probability that at least one child is female.

0.875.

(a) The equally likely events for the gender of the three children, from oldest to youngest, are:

(b) The probability that all three children are male is (0.5)^3 = 0.125.

The probability that at least one child is female is the complement of the event "all three children are male," which means it is 1 - 0.125 = 0.875.

In conclusion, The probability that at least one child is female is 1 - (0.5)^3 = 0.875.

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Answer:

C. 16/41

Because there are 9 blue and 7 Green.

a.) The independent variable is the different types of music

b.) The dependent variable is the impact of listening felt by the rats

c.)An extraneous variable is the length of the maze.

d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.

A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.

For question a.)

The independent variable is the different types of music

For question b.)

The dependent variable is the impact of listening felt by the rats

For question c.)

An extraneous variable is the length of the maze.

For question d.)

The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

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\( \huge \boxed{ \color{red}\mathbb{H ELLO !!} }\)

your answer will be :

\( \boxed{36 {x}^{2} - 3x - 14}\)

I hope it helps you mate !!

Answer:

\(d=9.21954\)

Step-by-step explanation:

Distance Formula: \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Simply plug in the 2 coordinates into the distance formula to find distance d:

\(d=\sqrt{(-1-5)^2+(9-2)^2}\)

\(d=\sqrt{(-6)^2+(7)^2}\)

\(d=\sqrt{36+49}\)

\(d=\sqrt{85}\)

\(d=9.21954\)

Step-by-step explanation:

10 seconds=1cm

2 seconds=x cm

cross multiply

10 x=2

divide by 10

x=2/10

x=1/5

Answer:

0.2 in 2 seconds

Step-by-step explanation:

hope this helped!

Applying the tangent and the circle theorems, we have:

22. x ≈ 9.4;   23. Perimeter of triangle GHI = 168 units

24. m<NSR = 110°;    25. x = 10

22. Based on the tangent theorem, the triangle is a right triangle since the line is tangent to the radius of the circle. Therefore, based on the Pythagorean theorem, we have:

x = √[(7.4 + 4.6)² - 7.4²]

x ≈ 9.4

23. JH and HK are tangents, therefore they are equal. Thus:

7x + 4 = 13x - 20

7x - 13x = -4 - 20

-6x = -24

x = 4

Perimeter = GI + GJ + JH + HK + KI

GI = 52

HK = JH = 7x + 4 = 7(4) + 4 = 32

KI = 15

GJ = 52 - 15 = 37

Perimeter of triangle GHI = 52 + 37 + 32 + 32 + 15 = 168 units

24. Based on the angle of intersecting chords theorem, we have:

m<NSR = 1/2(170 + 50)

m<NSR = 110°

25. Based on the inscribed angle theorem, we have:

2(4x - 5) + 290 = 360

Solve for x:

8x - 10 + 290 = 360

8x = 360 - 280

8x = 80

x = 10

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Answer:

D, g(x) = 1/4 x^2

Step-by-step explanation:

You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

The value of the inverse function f-¹ (3) is (e) 11

From the question, we have the following parameters that can be used in our computation:

f(x) = x - 8

To calculate the inverse value at f-¹ (3)

We set the value to 3

using the above as a guide, we have the following:

x - 8 = 3

Evaluate the like terms

x = 11

Hence, the value of the inverse function is (e) 11

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Complete question

if f(x) = x - 8, what is the value of f-¹ (3)?

Answer:

240 g chocolate

18 eggs

70 mL lemon juice

80 g sugar

Step-by-step explanation:

600 g choc - (2 x 180) = 240 g left

36 eggs - (2 x 9) = 18 left

100 mL lemon - (2 x 15) = 70 mL left

200 g sugar - (2 x 60) = 80 g left

Answer:

Ingredients will have left

Chocolate

Eggs

Lemon juice

Sugar

Toward the end of a game of Scrabble, you hold the letters D, O, G, and Q. You can choose 3 of these 4 letters and arrange them in order in 24 different ways.

To solve this problem, we need to use the concept of permutations. A permutation is an arrangement of objects in a specific order. In this case, we need to find the number of permutations that can be made from the letters D, O, G, and Q when we choose 3 of these 4 letters.

The formula for finding the number of permutations is:

n! / (n-r)!

where n is the total number of objects and r is the number of objects we choose.

Using this formula, we can calculate the number of permutations as follows:

4! / (4-3)!

= 4! / 1!

= 4 x 3 x 2 x 1 / 1

= 24

Therefore, we can arrange the chosen 3 letters in 24 different ways.

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The correct value of 2f(a-1) is 2a^2 - 12a + 10.

To find the value of 2f(a-1), we need to substitute (a-1) into the function f(x) and then multiply the result by 2.

Given: f(x) = x^2 - 4x

Substituting (a-1) into the function:

f(a-1) = (a-1)^2 - 4(a-1)

Expanding and simplifying:

f(a-1) = (a^2 - 2a + 1) - (4a - 4)

f(a-1) = a^2 - 2a + 1 - 4a + 4

f(a-1) = a^2 - 6a + 5

Now, we multiply the result by 2:

2f(a-1) = 2(a^2 - 6a + 5)

Expanding:

2f(a-1) = 2a^2 - 12a + 10

Therefore, the value of 2f(a-1) is 2a^2 - 12a + 10.

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Answer: 28.25%

Step-by-step explanation:

113/400=0.2825=28.25%

Answer:

3/14

Step-by-step explanation:

6/7 ÷ 4

Copy dot flip

6/7 * 1/4

Rewriting

6/4 * 1/7

Divide the top and the bottom of the first fraction by 2

3/2 * 1/7

3/14

Answer:

3/14

Step-by-step explanation:

trust me this is the answer

The null and alternative hypotheses can be stated as follows:

c. H0: µ = 12, Ha: µ ≠ 12

The null hypothesis (H0) assumes that the population mean content of the bottles is 12 ounces, indicating perfect adjustment of the filling machine. The alternative hypothesis (Ha) states that the population mean content is not equal to 12 ounces, suggesting that the machine is not in perfect adjustment.

The rejection region for α = 0.01 can be specified as:

c. |t| > 2.68

This means that we would reject the null hypothesis if the absolute value of the calculated t-statistic is greater than 2.68.

To calculate the p-value, we need the t-statistic corresponding to the sample mean and standard deviation. With a sample mean of 11.88 ounces, a standard deviation of 0.35 ounces, and a sample size of 49, we can calculate the t-statistic. The p-value represents the probability of observing a sample mean as extreme as the one obtained, assuming the null hypothesis is true.

The p-value cannot be determined without the t-statistic value or the corresponding degrees of freedom.

Without the p-value, we cannot draw a definitive conclusion. To make a conclusion, we would compare the calculated t-statistic to the critical t-value based on the chosen significance level (α = 0.01). If the calculated t-statistic falls within the rejection region (|t| > 2.68), we would reject the null hypothesis. If the calculated t-statistic falls outside the rejection region, we would fail to reject the null hypothesis.

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Step-by-step explanation:

The equation for this function is y=2x

So 32*2=64

36/2=18

2*x=2x

y/2=y/2

2x*2=4x

(x+3)*2=2x+6

Answer:

4n+1

Step-by-step explanation:

Distribute 4 to the parenthesis

5+4n-4

Combine like terms

4n+1

The simplified expression is....

4n+1

Hope this helps!!

Have a nice day!!!

Answer: There are 3 solutions.

Step-by-step explanation:

Look at these images.