Below, the two-way table is given for a class
of students.
Freshmen
Sophomore
Juniors Seniors Total
Male.
4
6
2
2
Female 3
4
6
3
Total
If a student is selected at random, find the
probability the student is a senior.
P(Senior) = [?]%
Round to the nearest whole percent.
Entor

Answer:

if im correct the answer is 70

Step-by-step explanation:

A circle has a 360 degree angle so what I did is i added 85+80+125 and i got 290. 360-290=70

Answer:

Hey!

Step-by-step explanation:

The diameter of Mercury is 4,879.4 km, while the diameter of Jupiter is 142,984 km. In other words, Jupiter is 29.3 times bigger across than Mercury. In terms of volume, you could fit 24,462 Mercurys inside Jupiter. Jupiter even has 5,750 times more mass than Mercury.

Hope this helps!

Have a nice day!♥

See

y=|x| is the parent function and p(x) is the translated version of it

It has vertex at (0,0)

Now

as x is decreased then change in x axis is happened .vertex will shift 1 units right

So vertex should be at (1,0)

No change in y

Step-by-step explanation:

given that 1.5 gram of fat =3% of 2000 calorie diet.

Thus, 1.5 gram of fat contributes to 3/100*2000= 60 calorie of diet.

Generally 6% of the diet must be fat.(recommended)

Since, 1.5 gram = 3%

thus, 3 gram =6%.

Answer:

92 degrees

C

Step-by-step explanation:

Mario should proofread the press release to catch any typos or errors, ensure all numbers and spellings are correct, and make sure the content is logical and persuasive.

Mario should begin by producing an outline to organize the content of the document and make sure it follows a logical flow. He should then double-check all spellings and numbers in the document to ensure accuracy. He should then evaluate the logic and persuasiveness of the document to make sure it conveys the information effectively. Lastly, he should change the font that is used in the document to make it more visually appealing. By following these steps, Mario can ensure that the press release is accurate and effective.

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Answer:

y = 5x - 2

Step-by-step explanation:

go with the steps and explanation.

to find slope:

find we have to take two best fit coordinates through which the line is passing :  ( 0 , -2 ) , ( -1 , -7 )

secondly find the slope using the formula: \(\frac{y-y1}{x-x1} \)

here y is -7 and y1 is -2 , x is -1 and x1 is 0

\(\frac{-7--2}{-1-0} \)

\(5\) .......this is the slope

then find equation using:

y - y1 = m( x - x1 ) ..............m is the gradient and y and x should be constant

y - -2 = 5 ( x - 0 )

y + 2  = 5x

y = 5x - 2 ......this is our equation in slope intercept form

Answer:

Area of label = 100 inch² (Approx.)

Step-by-step explanation:

Given:

Height of label = 8 inches

Diameter of label = 4 inches

Find:

Area of label

Computation:

Design of label = Rectangle

So,

Width of label = 2πr

Width of label = 2(3.14)(4/2)

Width of label = 2(3.14)(2)

Width of label = 12.56 inches

Area of label = Height of label x Width of label

Area of label = 12.56 x 8

Area of label = 100.48

Area of label = 100 inch² (Approx.)

simplified form of the expression

\( \sqrt[3]{27} \)

Answer:

\(\rightsquigarrow\) \(\tt{\sqrt[3]{27} }\) ⠀

\(\rightsquigarrow\) \(\tt{\sqrt[3]{3×3×3} }\) ⠀

\(\rightsquigarrow\) \(\tt{3 }\) ⠀

Answer:

26r^2 + 36r.

Step-by-step explanation:

The  annual income tax paid by the person is: $4,500.

Using this formula

Annual income tax=[Salary÷(1-percentage deduction)]- Salary

Let plug in the formula

Annual income tax=[40,500÷(1-10%)]-40,500

Annual income tax=45,000-40,500

Annual income tax=4500

Therefore the  annual income tax paid by the person is: $4,500.

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The compound inequality which represents the range of possible values of x for the given triangle is  8<x<34.

What is triangle?

A triangle is a specific type of polygon which consists of three sides, three angles and three vertices. There are different types of triangle based on different types of base and angles.

In triangle ABC, the side lengths are AB = 13, AC=21, and BC = x.

Here we use the theorem of triangle that describes , the sum of the length of any two sides of a triangle is always greater than the third side.

So at first considering BC as longer side we get,

AB+AC>BC

putting the values we get,

13+21> x

34>x

34>x

Again considering AC as the longer side and again applying the same argument of triangle we get,

AB+BC>AC

13+x>21

x>21-13

x>8

Hence, the compound inequality which represents the range of possible values of x for the given triangle is  8<x<34.

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Answer:

The figure below shows the graph of rational function f; It has vertical asymptotes x 2 andx = 4, and horizontal asymptote y = 0. The graph does not have an x-intercept, and it passes through the point (~3,-1). The equation for f (x) has one of the five forms shown below. Choose the appropriate form for f (x), and then write the equation: You can assume that f (x) is in simplest form_ 0 f() f() f ()

We have

tennis racket price $54

Firs we need to obtain the 30 %

54*.30=16.2

then in order to know the sale price we need to substract the 30% of the original price

54-16.2=37.8

the sale price is $37.8

Answer:

x°=113°

y°=67°

z°=49°

Step-by-step explanation:

Looking at the right triangle exclusively, we know that it must have 180° in total.

Set up an equation that represents this:

28°+39°+x°=180°

Simplify:

67°+x°=180°

Solve:

x°=113°

Now, we also know that x°+y°=180°, because they form a line. Now that we know the value of x°, plug it in to this equation:

113°+y°=180

Solve:

y°=67°

Finally, apply the same logic with the first triangle with the other triangle:

64°+67°+z°=180°

Simplify:

131°+z°=180°

Solve:

z°=49°

Answer:x-9

Step-by-step explanation:

Simplifying

Solving for variable

Move all terms containing x to the left all other terms to the right

Devide each side by 16

X=9

We are given a line and a point, I assume that we want to see if the point is on the line or not.

We will see that the point does not belong to the line.

First, let's find the equation of the line.

A general line can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:

\(a = \frac{y_2 - y_1}{x_2 - x_1}\)

Here we know that our line passes through the points (-2, 4) and (1, -9). Then the slope is:

\(a = \frac{4 - (-9)}{-2 - 1} = \frac{13}{-3} = -\frac{13}{3}\)

Then our line is something like:

\(y = -\frac{13}{3} *x + b\)

To find the value of b, we can use one of the two points that we know that are on the line.

For example, the point (-2, 4) means that when x = -2, we must have y = 4.

Replacing that in the equation we get:

\(4 = -\frac{13}{3} *(-2) + b\\\\4 = \frac{26}{3} + b\\\\4 - \frac{26}{3} = b\\\\\frac{-14}{3} = b\)

Now we can write the line equation as:

\(y = -\frac{13}{3} *x - \frac{14}{3}\)

Now we need to see if the point (14, -6) belongs to the line.

To see this, we evaluate the line in x = 14.

\(y = -\frac{13}{3} *14 - \frac{14}{3} = -\frac{196}{3}\)

This is different than -6, so the point does not belong to the line.

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The length of each side of the base of the pyramid is 14 cm

From the question, we are to determine the length of each side of the base of the pyramid

The volume of a square-based pyramid is given by

V = 1/3(b²h)

Where V is the volume

b is the length of the base

and h is the height

From the given information,

V = 392 cm³

h = 6 cm

Putting the parameters into the equation, we get

392 = 1/3(b²× 6)

392 = b² ×2

b² = 392/2

b² = 196

b = √196

b = 14 cm

Hence, the length of each side of the base of the pyramid is 14 cm

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Answer:

So your answer for X all of them equals 2

The given series [infinity]∑ ₙ₌₁ (-1)ⁿ 1 / 2n + 1 can be tested for convergence or divergence using different convergence tests. Let's analyze each option:

A. The divergence test states that if the limit of the n-th term of a series does not equal zero, then the series diverges. In this case, the limit of 1 / 2n + 1 as n approaches infinity is indeed zero. Therefore, the series converges.

B. The limit comparison test compares the given series with a known convergent or divergent series. However, the comparison series ∑¹/² is a harmonic series that diverges. Therefore, the limit comparison test does not support the conclusion that the series converges or diverges.

C. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges. However, taking the limit of aₙ + 1 / aₙ as n approaches infinity yields 1/2, which is not less than 1. Therefore, the ratio test does not support the conclusion that the series converges.

D. The divergence test, as mentioned in option A, does not apply in this case since the limit of (-1)ⁿ / 2n + 1 does not exist. This is because the terms oscillate between positive and negative values indefinitely.

E. The alternate series test is applicable since the series alternates signs and the absolute value of the terms is decreasing. The limit of 1 / 2n + 1 as n approaches infinity is indeed zero. Therefore, the series converges by the alternate series test.

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Answer:

LN i think.. i'm not sure tho

Step-by-step explanation:

Answer:

≈38.57 units.

Step-by-step explanation:

To find the perimeter of a rectangle, we need to add up the lengths of all its sides.

First, gather the coordinates:

R - (4, 5)

U - (8, -3)

F - (-6, 0)

O - (-2, -8)

Using the coordinates given, we can calculate the lengths of the sides of the rectangle using the distance formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

So, for the rectangle with vertices R, U, F, and O, we have:

Side RU: d = √((8 - 4)^2 + (-3 - 5)^2) = √(16 + 64) = √80

Side UF: d = √((-6 - 8)^2 + (0 - (-3))^2) = √(196 + 9) = √205

Side FO: d = √((-6 - (-2))^2 + (0 - (-8))^2) = √(16 + 64) = √80

Side OR: d = √((-2 - 4)^2 + (-8 - 5)^2) = √(36 + 169) = √205

Since opposite sides of a rectangle are congruent, we have RU = FO and UF = OR. Therefore, the perimeter of the rectangle is:

Perimeter = RU + UF + FO + OR

Perimeter = √80 + √205 + √80 + √205

Perimeter ≈ 38.57

Therefore, the perimeter of the rectangle is approximately 38.57 units.

Answer:

It's probably 1/4

Step-by-step explanation:

The probability of their daughter having hemophilia would be 0.5 or 1/2. Answer: 1/2.

Hemophilia is an X-linked recessive disorder, which implies that females carry the disease gene on one of their X chromosomes but do not express the phenotype because of the presence of the normal allele on the other X chromosome.

What is Hemophilia?Hemophilia is a bleeding disorder in which an individual's blood does not clot correctly. It is caused by a genetic mutation that leads to a deficiency in one of the clotting factors. Bleeding episodes, which can be severe, may occur spontaneously or as a result of trauma or surgery.

Hemophilia is divided into two categories based on the deficiency of clotting factors: hemophilia A, which is caused by a deficiency of clotting factor VIII, and hemophilia B, which is caused by a deficiency of clotting factor IX.As per the given problem, The father has hemophilia, but the mother is unaffected. The father's X chromosome carries the hemophilia allele, but the mother's X chromosome carries a normal allele.

Therefore, all of the children will receive one normal allele and one hemophilia allele from their parents.The Punnett Square demonstrates the inheritance pattern of X-linked recessive inheritance. The son would inherit the father's Y chromosome, while the daughter would inherit the mother's X chromosome. Because the mother is a carrier, there is a 50% chance that the daughter would inherit the hemophilia allele.The probability of their daughter having hemophilia would be 0.5 or 1/2. Answer: 1/2.

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in a parcel described as the SW ¼ of the NE ¼ of the SE ¼ the correct answer is option D 10.

To determine the number of acres in a parcel described as the SW ¼ of the NE ¼ of the SE ¼, we need to multiply the acreage of each quarter section.

Starting with the SE ¼, we know that a quarter section (1/4) consists of 160 acres. Therefore, the SE ¼ is 160 acres.

Moving to the NE ¼ of the SE ¼, we need to calculate 1/4 of the 160 acres. 1/4 of 160 acres is (1/4) * 160 = 40 acres.

Finally, we consider the SW ¼ of the NE ¼ of the SE ¼. Again, we need to calculate 1/4 of the 40 acres. 1/4 of 40 acres is (1/4) * 40 = 10 acres.

Therefore, the parcel described as the SW ¼ of the NE ¼ of the SE ¼ consists of 10 acres.

Hence, the correct answer is option D) 10.

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Answer:

c= -2

Step-by-step explanation:

Given:

To solve:

Since, the relation is true. That is, 0 is less than 4.

Hence, the answer is, all the real numbers.