Laticia randomly selected 25% of the seventh grade students in her school and asked them what their favorite season was. Of the students surveyed, 51 chose summer as their favorite season. Based on this data, approximately how many seventh grade students in the whole school?

Answer:

376.8 cm²

Step-by-step explanation:

Given:

Surface area = 2πrh + 2πr²

[Where "r" and "h" represents the radius and the height respectively]

Let's substitute the height and the radius in the formula and simplify it.

[tex]\implies 2\pi rh + 2\pi ^{2}[/tex]

[tex]\implies 2\pi (4)(11) + 2\pi (4)^{2}[/tex]

[tex]\implies 2\pi (44) + 2\pi (16)[/tex]

[tex]\implies 88\pi + 32\pi[/tex]

We can factor π out of the expression. Therefore, we get:

[tex]\implies 88\pi + 32\pi[/tex]

[tex]\implies \pi (88 + 32)[/tex]

Now, simplify the expression inside the parentheses.

[tex]\implies \pi (88 + 32)[/tex]

[tex]\implies \pi (120)[/tex]

The value of π, we are given, is 3.14. When substituted, we get:

[tex]\implies \pi (120)[/tex]

[tex]\implies 3.14(120) = 31.4(12) = \boxed{376.8 \ \text{cm}^{2} }[/tex]

Therefore, the surface area of the cylinder is 376.8 cm².

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Answer:

C) 3.2

Step-by-step explanation:

[tex]\text{Mean}=\frac{2(0)+1(1)+3(2)+6(3)+2(4)+3(5)+2(6)}{19}\approx3.2[/tex]

Answer:

2.7

Step-by-step explanation:

the hockey score is 2.7

Answer:

B. Unlikely

Step-by-step explanation:

Generally speaking, a probability of 0.11 to 0.40 is unlikely. 1/5 is 0.2, which falls in this range.

Answer:

this cannot be factored since nothing shares factorable groups/values

Step-by-step explanation:

hope this helps:)

Answer:

(a) 27°

(b) 17.9m

Step-by-step explanation:

According to the attachment

⠀

let AB be the ladder

BC be the distance between the ladder and wall

⠀

(a) We have to find ∠A by trigonometry formula

[tex] \sf \sin A = \frac{perpendicular}{hypotenuse} [/tex]

Here angle A is facing BC so it is perpendicular

and AB is the longest side so it is hypotenuse

[tex] \sf \implies \sin A = \frac{BC}{AB} \\ \\ \\ \sf \implies \sin A = \frac{9}{20} \\ \\ \\ \sf \implies \sin A = 0.45 \\ \\ \\ \sf \implies \sin A = \sin27{ \degree} \\ \\ \\ \sf \purple {A = 27{ \degree}}[/tex]

(b)

AC is the distance from the upper end of the ladder to ground

we will find it by Pythagoras theorem

[tex] \sf {hypotenuse}^{2} = {perpendicular}^{2} + {base}^{2} \\ \\ \\ \sf \implies {AB}^{2} = {BC}^{2} + {AC}^{2} \\ \\ \\ \sf \implies {20}^{2} = {9}^{2} + {AC}^{2} \\ \\ \\ \sf \implies 400 = 81 + {AC}^{2} \\ \\ \\ \sf \implies 400 - 81 = {AC}^{2} \\ \\ \\ \sf \implies 319 = {AC}^{2} \\ \\ \\ \sf \implies \sqrt{319} = AC \\ \\ \\ \sf \blue{\implies 17.86 = AC}[/tex]

Answer:

no

Step-by-step explanation:

The simplification of √75+ √48 -2√675 is -21√3.

Surds are irrational numbers.

To simplify the surd in the question above, we use the addition and subtraction of surds.

Two or more surds can be added or subtracted if they are in the same basic form.

E.g

Using the above example,

Given:

Express the surds to the same basic form

Hence, the simplification of √75+ √48 -2√675 is -21√3.

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Answer:

a = √3 * r

a = √3 * 10

a = 10√3 cm

Step-by-step explanation:

Answer:

180 square yards

Step-by-step explanation:

there are 3 shapes that create the total area :

a large right-angled triangle to the right. its baseline is 16 yd. the left side is a bit complicated, we get to it.

a small middle rectangle with length 6 yd. it's width is 3 yd.

is area is 6×3 = 18 yd²

a large rectangle at the bottom left with length 11 yd and width 6yd.

its area is 11×6 = 66 yd²

now, how long is the left side of the triangle ? we need it as the height of the triangle to get the area

baseline × height / 2

we see that a part of the left side is 8 yd.

then the width of the middle rectangle is also a part of that left side : 3 yd.

and then we notice that the triangle goes a little bit below the top length side of the large rectangle. how much ? well the actual width of the large rectangle is 6 yd, but the side under the triangle says only 5 yd. so, the missing piece is 6-5 = 1 yd.

so, the full left side is

8 + 3 + 1 = 12 yd

and the area of the triangle is

16×12 / 2 = 16×6 = 96 yd²

so, the total area of the figure is

18 + 66 + 96 = 180 yd²

Answer:

621.72

Step-by-step explanation:

The explanation is that the formula is V=2HπR

Multiply all of that and you get your answer of 621.72

The best investment option for this couple is the Food and Beverage industry because it is the one that gives them the highest profits within 11 years compared to the other alternatives.

To calculate the pair's gain in each alternative we must perform the following mathematical operations:

Food and beverage (FNB) industry

Clothing and textiles industry

Current Bank

Based on the foregoing, it can be inferred that the best investment option for the couple is the Food and Beverage (FNB) industry because it is the one that leaves the highest profits despite the decrease in profits during the second year.

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Answer:

0.778 to the nearest thousandth.

Step-by-step explanation:

Dividing 7 by 9:    

9) 7.000000

   0.7777777 ....   <--    quotient

So it is 0.778 to the nearest thousandth.

Answer:

X=80

Step-by-step explanation:

Angle OAB=50(Properties of isosceles traingle)

X+50+50=180(sum of the interior angles of the traingle)

X=180-100

X=80

Answer:

C.

Step-by-step explanation:

-3 7/8 rounds down to -4

4.63 rounds up to 5

-4 x 6 + 5

-24 + 5

-19

her answer (-19.14) also rounds to -19

So yes, it is reasonable and the correct response is C.

Answer:

B and C are both in slope-intercept-form.

Step-by-step explanation:

Slope Intercept Form is --> y = mx + b, where m is the slope, and b is the y-intercept.

Both B and C have a slope (-6/4 for B, -3/2 for C) and both have a y-intercept (8/4 or 2).

I hope this helps. Please mark me brainliest!

To solve this problem, we have to understand that the parallel lines cut will form two alternate angles which are equal to each other. The value of x is equal to -8/5

In the given question, we have two alternate angles fixed at opposite end to each other.

Data;

Since we've established that alternate angles are equal to each other, we can proceed to equate the two angles and solve for x

[tex]8x -1 = 3x - 9\\8x - 3x = - 9 + 1\\5x = - 8\\x =-\frac{-8}{5}[/tex]

The value of x is equal to -8/5

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Answer:

See below

Step-by-step explanation:

(36 - 2x) * (17-2x) = 700      I think, given the info

4x^2 - 106x + 612 = 700     expanded....

Answer:

number 2

Step-by-step explanation:

im not that sure but i think it's that one

Answer:

$1431

Step-by-step explanation:

If Stan pays a 10% deposit, he pays $159. 10% of $1590 is simply 0.1 * 1590 = 159. Assuming this is the only amount he pays, he then simply needs to pay the full price minus $159. We can find this by simply subtracting 159 from 1590 to get 1431. Stan still needs to pay $1431.

Answer:

1. 2

2. 5

Step-by-step explanation:

1. write 5% as

[tex] \frac{5}{100} [/tex]

Then,

[tex] \frac{5}{100} \: of \: \: 40 = \frac{5}{100} \times 40[/tex]

Therefore, the answer is 2

If you are using a calculator, simply enter 5 divided by 100 times 40 which will give you 2 as the answer.

2. Write 20% as 20/100

[tex] \frac{20}{100} \: of \: 25 = \frac{20}{100} \times 25[/tex]

Therefore, the answer is 5

If you are using a calculator, simply enter 20 divided by 100 times 25 which will give you 5 as the answer.

The plumber spend 3 hours to fixing the sink if the plumber fixed a leaky sink and charged $55 for parts and $45 per hour for labour.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the plumber spend x hours to fixing the sink.

Then we can frame a linear equation in one variable:

55 + 45x = 190

45x = 135

x = 3 hours

Thus, the plumber spend 3 hours to fixing the sink if the plumber fixed a leaky sink and charged $55 for parts and $45 per hour for labour.

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The graph is showing the equation of circle x²+y²=4

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

The given graph in the question represents the equation of the circle cutting the points on the x-axis and y-axis at 4 which is the radius of the circle.

The equation will be as follows:-

x²+y²=4

Hence the graph is showing the equation of circle x²+y²=4

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Answer:

I did the work and uploaded the answer as a picture for you

I hope it was helpful!!

Step-by-step explanation:

Answer:

a 230 metera 230 metersa 230 metersa 230 metersa 230 metersa 230 meters

Answer:

Below.

Step-by-step explanation:

k / 22 = -66

k = 22*-66

= -1452.

Answer:

There was a 50% chance that the goldfish would swim to the left

Step-by-step explanation:

Percentage means "amount in one hundred".

[tex]\textsf{one in two}=\sf \dfrac{1}{2}=\sf \dfrac{1\times 50}{2 \times 50}=\dfrac{50}{100}=50\%[/tex]

Newspaper headline:

There was a 50% chance that the goldfish would swim to the left.