I NEED help Zane is determining whether the given value of the variable is a solution of the equation.

13 + h = 21 for h = 9

What steps should Zane take? Check all that apply.
Substitute 9 for the variable h.
Substitute 21 for the variable h.
Simplify by adding 13 and 21.
Simplify by adding 13 and 9.
21 = 21, so 9 is a solution to the equation.

The estimate of the mean of the grouped data from calculations is; 42.5

To find the mean of grouped data, the first step is to determine the midpoint of each interval or class. These midpoints must then be multiplied by the frequencies of the corresponding classes. The sum of the products divided by the total number of values will be the value of the mean.

The table showing the age in years and the frequency of occurrence is;

Age (years) Frequency

0 < h ≤ 20 20

20 < h ≤ 40 10

40 < h ≤ 60 10

60 < h ≤ 80 10

Thus, the midpoints are; 10, 30, 50, 70

Total of each is;

(10 * 20) + (30 * 10) + (50 * 10) + (70 * 10) = 1700

Thus, from the earlier definition we can find the mean of the grouped data as;

Mean = 1700/40

Mean = 42.5

Therefore, we can conclude that the estimate for the mean age is 42.5 years.

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The surface area of the triangular prism is B. 1,008 \(cm^{2}\)

Triangular Prism is a polyhedron made up of two triangular bases and three rectangular sides. It is a three-dimensional shape that has three side faces and two base faces, connected to each other through the edges.

How to determine this

The surface area of the triangular prism =  Area of the front Triangle + Area of the triangle + Each sides of the triangle by the length of the triangular prism.

Area of the front and back triangle will be the the same given the same base and height

To find the area of the triangle = 1/2 * Base * Height

Where base = 12 cm

Height = 9 cm

Area = 1/2 * 12 cm * 9 cm

Area = 6 * 9 \(cm^{2}\)

Area of the one triangle = 54 \(cm^{2}\)

So, by multiplying each sides of the triangle by the length

= Base * Length

= 12 cm * 25 cm

= 300\(cm^{2}\)

Height * Length

= 9 cm * 25 cm

= 225 \(cm^{2}\)

Then, Hypotenuse * Length

= 15 cm * 25 cm

= 375 \(cm^{2}\)

Surface area = 54\(cm^{2}\) + 54\(cm^{2}\) * 300\(cm^{2}\) + 225\(cm^{2}\) + 375\(cm^{2}\)

Surface Area = 1,008\(cm^{2}\)

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The zero of the linear function. f(x)= -3x+4 is 4/3

Given the function below;

f(x)= -3x+4

The zero of the function is the point where f(x) = 0. Substitute

0 = -3x + 4

Add 3x to both sides to have;

0+3x = -3x + 4 +3x

3x = 4

Divide both sides by 3 to have;

3x/3 = 4/3

x = 4/3

Hence the zero of the linear function. f(x)= -3x+4 is 4/3

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Answer:

47 pounds

Step-by-step explanation:

Given

Direct Variation:

Weight on Mars = 60 when Weight on Earth = 180

Required

Determine the Weight on Mars, if weight on earth is 141

Let M represents Mars and E represents Earth.'

Since, it is a direct variation;

\(M \alpha\ E\)

Convert to an equation

\(M =kE\)

Where k is the variation constant.

Substitute 60 for M and 180 for E

\(60 = k * 180\)

Solve for k

\(k = \frac{60}{180}\)

\(k = \frac{1}{3}\)

To solve for M when E = 141, we have:

\(M =kE\)

\(M = \frac{1}{3} * 141\)

\(M = \frac{141}{3}\)

\(M = 47\)

Question is incomplete, however here's an explanation to solve questions such as this

Answer and explanation:

Probability= number of favorable outcomes/total number of outcomes

The frequency distribution recorded by the professor would show number of times(frequency) each student missed a class day.

We are required to fund the probability that a student would miss class

Probability = number of times the student missed class/ total number of classes missed by all students

Example, if student missed class 20 times in a semester and all students in total missed class 200 times

Probability that the student would miss class=20/200= 1/10

The number of words Gillan can read in 1 minute is,  165

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

Gillan read 3,135 words in 19 minutes

The number of words read each minute = w

Now, it has given,

Total words = 3135

Time taken = 19 minutes

For words per minute,

we need to take ratio of total words and total time taken,

Ratio =  Total words/Time taken

         =   3135/19

         =   165

Hence, the number of words in 1 minute is 165

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Answer:

(

4

3

−

3

−

8

)

−

1

(

−

5

)

(4a^{3}-3a-8){\color{#c92786}{-1(a-5)}}

(4a3−3a−8)−1(a−5)

(

4

3

−

3

−

8

)

−

+

5

Step-by-step explanation:

Answer:

\(4a^{3}\) - 4a - 3

Step-by-step explanation:

Answer:

The imaginary part is the multiple of i. It is common practice to use the letter z to stand for a complex number and write z = a + bi where a is the real part and b is the imaginary part. where a is the real part and b is the imaginary part.

Step-by-step explanation:

You can easily check that a complex number z = x + yi times its conjugate x – yi is the square of its absolute value |z|2. Therefore, 1/z is the conjugate of z divided by the square of its absolute value |z|2.

Complex numbers A complex number z is defined as an ordered pair z = (x, y), where x and y are a pair of real numbers.

F(x) = 2x³ - x² + 5x − 3 is the polynomial that is in standard form. Thus, option D is correct.

Algebraic expressions called polynomials can include exponents that are multiplied, divided, or added. Different types of polynomials exist. specifically, monomial, binomial, and trinomial. A polynomial with only one term is referred to as a monomial. A polynomial with two unlike terms is referred to as a binomial. An algebraic expression with three terms is known as a trinomial.

Monomials - The term "monomial" refers to algebraic expressions with a single term. In other words, it is an expression that includes any number of similar terms. Hence the name "Bi"nomial," binomials are algebraic expressions with two unlike terms. Trinomials - Trinomials are algebraic expressions with three dissimilar terms, hence the name "Tri"nomial.

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Answer:

+7 will be the opposite or reciprocal of -7

Step-by-step explanation:

Hope it Helps!!!!

The opposite of the number, -7, is its reciprocal, which is: 7.

The opposite of a number is its reciprocal or the value on the number line that would occupy the same distance from zero in the opposite direction.

For example, opposite of b is -b.

The reciprocal of -7 is 7. Therefore, the opposite of the number, -7 is: 7.

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the answer is D

The figure can be divided into a rectangle and 2 triangles

Total amount of water = 1.05 liters

Water consumption per cat: 0.15

Number of cats: 5

Total amount of water consumed by the cats: number of cats x water consumption per cat = 5x 0.15 = 0.75

Subtract the result to the total amount of water in the bowl:

1.05-0.75 = 0.3 liters left

Answer:

6.4,,,,,,,,,,,,,,****

Answer:

7x = x - 4 (or 6x = -4 if you want to simplify)

Step-by-step explanation:

Answer:

Amadi: 20 years old

Chima : 4 years old

Answer$ 2.73 per gallon

Step-by-step explanation:

Step-by-step explanation:

put the value of x in equation and you get the answer

then put value of a on 3a-3

Answer:

A

Step-by-step explanation:

I would recommend following along with Brian McLogan, a renowned math teacher. He teaches this great. Hope this helps: "How to Determine All of the Zeros of a Polynomial"

Answer:

30%

Step-by-step explanation:

1105 - 850 = 255

255 ÷ 850 = 0.3

0.3×850=30

30%

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Nathaniel drinks 3 glasses of water in one hour.

To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.

In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.

Let's convert the mixed number of hours to an improper fraction:

\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)

\(=\frac{12}{5}\)

Now, we can set up a proportion to find his drinking rate per hour.

We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.

Let's assign "x" as the number of glasses he drinks in one hour.

The proportion is then

\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)

Cross-multiplying gives us

\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)

Simplifying, we get

\(\frac{12}{5} =\frac{4}{5}\times x\)

Dividing both sides by \(\frac{4}{5}\), we find x:

\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)

\(x=\frac{12}{4}\)

\(x = 3.\)

Therefore, Nathaniel drinks 3 glasses of water in one hour.

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Answer:

approx 26%

Step-by-step explanation:

you try find the multiplier

200000 * 1. ???? ^3= 400000

rearrange equation

\(\sqrt[3]{\frac{400000}{200000} }\)       =   multiplier

1.25992105

subract one

0.25992105

multiply by 100 to get percentage

25.9%

rounded to whole number = 26%

If the height of a right triangular prism is 1⁵/₆ inches. The surface area of the solid formed is 598.33 in².

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.

First step:-

Right triangular prism=1⁵/₆ inches= 11/6 inches

Height of the base=8²/₃ inches = 26/3 inches

Second step:-

Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)

Surface area = 5(100) +43.33+ 3(18.33)

Surface area = 500) +43.33 + 55

Surface area = 598.33 in²

Therefore the surface area of the solid formed is about 598.33 in²

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Answer:

MEEEE

Step-by-step explanation:

AHHHH

Answer:

Kindly check explanation

Step-by-step explanation:

Company A:

Number of people = 239

Number of sample (n) = 16

Standard deviation (s1) = 589 million

Company B:

Number of people = 121

Number of sample(n) = 10

Standard deviation (s2) = 488 million

We can find the F - statistic:

Fstat = variance 1 / variance 2

Variance = (standard deviation)²

Fstat = 589² / 488²

Fstat = 346921 / 238144

Fstat = 1.4567698 = 1.46

Degree of freedom:

Sample A : (n - 1) = (16 - 1) = 15

Sample B: (n - 1) = (10 - 1) = 9

USing the P-value from F statistic calculator at df(15,9) ; Fstat= 1.46

P value = 0.287797.

Since the p value is > 0.10, then result is not significant, hence we fail to reject the null hypothesis.

Answer:5x because ie d ecaied d

9514 1404 393

Answer:

  ? = 8

Step-by-step explanation:

The parallel lines divide the segments proportionally:

  ?/4 = 10/5

  ? = 4(10/5) = 8 . . . . multiply by 4

The missing length is 8.

Answer:

-30r+15 yessir

Step-by-step explanation:

yup "Mr Clean, Mr Clean."

Probability of selecting an athlete that stretches = 7/16

Percentage of athlete that do not stretch and got injured = 51.33%

a)

From table,

Athletes that stretch = Athletes that got injured while stretching + Athletes that do not got injured while stretching

Athletes that stretch = 55 + 295

Athletes that stretch = 350

Total number of athletes = stretch + does not stretch

total number of athletes = 350 + 450 = 800

Probability of an event to occur = Number of favourable outcomes / Total number of outcomes.

Probability of selecting an athlete that stretches = 350/ 800

Probability of selecting an athlete that stretches = 7/16

b)

Given

Athlete that do not stretch = 450

Athlete that got injured that do not stretch = 231

Now,

Percentage of athlete that do not stretch and got injured = 231/450 × 100

Percentage of athlete that do not stretch and got injured = 51.33%

Hence from the data given in table the required values can be found out.

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