how do I do it? I didn't understand the math.

The actual number of respondents corresponding to the given percentage is 57.

Percentage is the fraction of an amount expressed as a number out of 100. The sign used to rerepresnt percentages is %. Percentages are a measure of frequency.

4.2% x 1372 = 57

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Answer:

Step-by-step explanation:

Draw the third point at (0, 0). This would make the distance from (3,0) to (0,0) equal to 3, and the distance from (0,4) to (0,0) be 4.

Since 1 cubic feet = 62 pounds, the weight of the water that Jerry put in the aquarium is 558 pounds

We have to find the volume of water in the aquarium.

Recall the shape of the aquarium is a rectangular prism. Therefore,

volume = lwh

where

Therefore,

l = 3 ft

w = 2 ft

h = 1.5 ft

volume =  3 × 2 × 1.5

volume of water = 9 ft³

Therefore,

1 ft³= 62 pounds

9 ft³ = ?

cross multiply

weight of water = 9 × 62

weight of water = 558 pounds

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the number 2 is a factor of all even numbers (b)

2 is a factor of all even numbers (numbers that end with 2, 4, 6, 8, 0)

Option A) is wrong because 1, 3, 5, 7, 9 & numbers that end with the digits listed above are not evenly divisible by 2; this is the reason why Option C) is wrong.

In order for a digit/number to be a factor of a number, it should be evenly divisible by that number.

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer. :)

Step-by-step explanation:

1 case = 24 bottles

365 cases = 365×24 = 8,760 bottles

Answer: 6.

Step-by-step explanation: The total number of seats is 328.  There are 14 rows with 23 seats in each row.  To solve this, we need to multiply the amount of rows with the amount of seats in each row, which would look like this:

14 x 23 = 322.

As you can see, there are only 322 seats.  However, there are 328 seats in total, so there are 6 extra seats that aren't in a specific row.  Therefore, there are 6 extra seats.

Hope this helps! :)

The sum of all the angles of any triangle is 180 degrees

     -->  Therefore the missing angle is:

                  x = 180 - 60 - 75 = 45

Hope that helps!

The sum of the angles of a triangle is 180 degrees

   --> to put that into mathematical terms

                       Angle O + Angle K + Angle C = 180

                                 60 + 75 + Angle C = 180

                                         Angle C = 45 degrees

Therefore the missing angles' measure is 45 degrees

Hope that helps!

Answer:

TRue

Step-by-step explanation:

Answer:

i think that the correct answer would  A

Step-by-step explanation:

hope this helps

Answer:

308

Step-by-step explanation:

200+90+18=200+108=308

three hundred seven

or

307

Step-by-step explanation:

I can't remember which is standard form. But hope it helps.

Answer:

Step-by-step explanation:

Point G is on line segment FH. Given FG = 7 and GH = 2, the length of line segment FH is 9 units.

The length of line segment FH can be determined by adding the lengths of its two parts, FG and GH.

This is based on the property that the whole length of a line segment is equal to the sum of its parts.

Given that FG = 7 and GH = 2,

we can find the length of FH as follows:

FH = FG + GH

FH = 7 + 2

FH = 9

So, the length of line segment FH is 9 units.

This is a basic principle in geometry where the total length of a segment can be calculated by adding the lengths of its individual parts.

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Answer:

(a) [tex]y=x^2-2x-8[/tex]

(b) [tex]y= -\dfrac12x^2+4x-6[/tex]

Step-by-step explanation:

(a)  From inspection of the graph, the x-intercepts (where [tex]y = 0[/tex]) are at

[tex]x = -2[/tex] and [tex]x =4[/tex].

Therefore [tex]y = a(x + 2)(x - 4)[/tex]   where [tex]a[/tex] is some constant

The y-intercept is at (0, -8)

Expanding the equation:

[tex]y = a(x + 2)(x - 4)[/tex]

[tex]\implies y = a(x^2-4x+2x-8)[/tex]

[tex]\implies y= ax^2-2ax-8a[/tex]

Therefore, -8a is the y-intercept

Comparing y-intercepts:  -8 = -8a  ⇒  a = 1

Substituting a = 1, the final equation in standard form is:

[tex]y=x^2-2x-8[/tex]

--------------------------------------------------------------------------------------------------

(b)  From inspection of the graph, the x-intercepts (where [tex]y = 0[/tex]) are at

[tex]x = 2[/tex] and [tex]x =6[/tex].

Therefore [tex]y = a(x -2)(x - 6)[/tex]   where [tex]a[/tex] is some constant

The y-intercept is at (0, -6)

Expanding the equation:

[tex]y = a(x -2)(x - 6)[/tex]

[tex]\implies y = a(x^2-6x-2x+12)[/tex]

[tex]\implies y= ax^2-8ax+12a[/tex]

Therefore, 12a is the y-intercept

Comparing y-intercepts:

[tex]-6 = 12a \implies a = -\dfrac12[/tex]

Substituting found value of a into the equation:

[tex]\implies y= (-\dfrac12)x^2-8(-\dfrac12)x+12(-\dfrac12)[/tex]

[tex]\implies y= -\dfrac12x^2+4x-6[/tex]

y = a(x-h)²+k where (h,k) denotes the vertex

Q.1)

vertex: (1, -9) where h=1, k = -9

coordinates: (0, -8) where x = 0, y = -8

find for a:

y = a(x-h)²+k

-8 = a(0-1)²-9

-8 = a -9

a = 1

============

equation: y = (x-1)²-9

Q.2)

vertex: (4, 2) where h=4, k = 2

coordinates: (2, 0) where x = 2, y = 0

find for a:

y = a(x-h)²+k

0 = a(2-4)²+2

-2 = 4(a)

a = -1/2

============

equation: y = -1/2(x-4)²+2

Answer:

2880 cubic meters.

Step-by-step explanation:

To find the area of a rectangular prism, multiply the length width and height.
20*12*12=144*20=2880

The volume of the Rectangular Prism is 2880 cubic meters.

Rectangular prism can be defined as a" 3-dimensional solid shape which has six faces that are rectangles. A rectangular prism is also a cuboid".

According to the question,

Length of the rectangular prism = 20 meters

Height of the rectangular prism = 12 meters

Width of the rectangular prism = 12 meters

Formula for Rectangular Prism = length × breadth × height

= 20 × 12 × 12

= 2880 cubic meters.

Hence, the volume of the Rectangular Prism is 2880 cubic meters.

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Answer:

70% of £68 gives £47.6 for each trainer

Answer:

100-70/100 *£68

Step-by-step explanation:

£40.8

therefore, each pair of trainers cost£40.8

Answer:

First pair:       -4 and 8

Second pair: -2 and 6

Third pair:     -1 and 5

Step-by-step explanation:

-4 + 8 = 4

-2 + 6 = 4

-1 + 5 = 4

Hope this helps

Answer:

probably 200

Step-by-step explanation:

or something like that

Using the z-distribution, as we are working with a proportion, it is found that the 99% confidence interval is (-0.049, 0.129).

For each sample, we have that:

[tex]p_N = \frac{176}{200} = 0.88, s_N = \sqrt{\frac{0.88(0.12)}{200}} = 0.023[/tex]

[tex]p_E = \frac{168}{200} = 0.84, s_E = \sqrt{\frac{0.84(0.16)}{200}} = 0.0259[/tex]

Hence, for the distribution of differences, the mean and the standard error are given as follows:

[tex]p = p_N - p_E = 0.88 - 0.84 = 0.04[/tex]

[tex]s = \sqrt{s_N^2 + s_E^2} = \sqrt{0.023^2 + 0.0259^2} = 0.0346[/tex]

It is given by:

[tex]p \pm zs[/tex]

99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

Then:

[tex]p - zs = 0.04 - 2.575(0.0346) = -0.049[/tex]

[tex]p + zs = 0.04 + 2.575(0.0346) = 0.129[/tex]

The 99% confidence interval is (-0.049, 0.129).

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Answer: 0.04, 0.089

Step-by-step explanation:

Answer:

-5x+7y+25=0

Step-by-step explanation:

vecto AB= (7;5)

vecto n = (-5;7)

line through the points (-2;5) and (5;0) :

-5*(x+2)+7*(y+5)=0

-5x+7y+25=0

Answer:

height of tree is 80 feet.

Step-by-step explanation:

Given:-

To find :-

Solution:-

In the given figure we can see that AB is perpendicular , BC is base and AC is hypotenuse.

We know ,

tan 58° = AB/BC

1.6 = AB/50 feet

(Cross Multiplication)

80 feet :- AB

Note:- Figure is in attachment and is a rough work.

Answer:

$45.60 would be what Arun would have saved.

Answer:

8 lions

Step-by-step explanation:

We need to subtract!!

14 - 6 = 8

Have an amazing day!!

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Step-by-step explanation:

let the number of penguins be X and the number of lions be Y. then X=14 and since there are more penguins than lions the equation will be X=Y+6

Substitute 14 instead of X. 14=Y+6

and now shift 6 to the left 14-6=Y

then the answer should be 8lions

Hello!

x + y = 9,

x=  9-y

x - y + 3z = 2

x= 2+y -3z

4y - 32 - 5 = 0.​

4y = 32+5

4y = 37

y = 37/4

Answer:

x > 8

Step-by-step explanation:

5x > 40

40/5 = 8

x> 8

subtract 14

divide by 5

Answer:

x=-3/7;x=-5/7

Step-by-step explanation:

Answer:

C. 2, 4, 8, 11, 20.

Step-by-step explanation:

Solution,

Answer:

Step-by-step explanation:

c