Can some help me with this question :)

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Work Shown:

(whole length)*(external part) = (whole length)*(external part)

(EG)*(FG) = (SG)*(HG)

(2x+4)*(4) = (x+5)*(5)

8x+16 = 5x+25

8x-5x = 25-16

3x = 9

x = 9/3

x = 3

Use this x value to find EF

EF = 2x

EF = 2*3

EF = 6

For more information, search out "secant secant formula". It's not a typo that I wrote "secant" twice.

Answer:

The proportion of the pooled samples is 0.54.

Step-by-step explanation:

We have that:

70% of men own cats.

The proportion of men in the sample is:

[tex]\frac{170}{170+190} = 0.4722[/tex]

40% of women own cats.

The proportion of women in the sample is: 1 - 0.4722 = 0.5278

Proportion of the pooled samples

[tex]p = 0.7*0.4722 + 0.4*0.5278 = 0.54[/tex]

The proportion of the pooled samples is 0.54.

Answer:

The F-Ratio increases as, the variability between means increases relative to the variability within groups

Step-by-step explanation:

The F-Ratio is given as follows;

[tex]F-Ratio = \dfrac{MS_{between}}{MS_{within}}[/tex]

Where;

[tex]MS_{between}[/tex] = The variance between groups

[tex]MS_{within}[/tex] = The variance within groups

Therefore, as the F-Ratio increases, the variability between groups (means) increases relation to the variability within groups

Answer:

please help me to solve these qustions

Answer:

The correct answer is - A.(112.86, 127.14)

Step-by-step explanation:

Given:

mean = $120

sd = $17.50

n = 40

Solution:

Confidence interval for a populationcan be express as mean +/- margin of error (E)

degree of freedom = n-1 = 40-1 = 39

confidence level (C) = 99% = 0.01

significance level = 1 - C = 1 - 0.01 = 0.99 = 99%

 by margin of error E = t×sd/√n = 2.58*17.50/√40

= 2.58*2.76

= 7.138 or 7.14

then the lower limit of mean = mean - E = 120 - 7.14 = $112.86

and, the upper limit of population mean = mean + E = 120 + 7.14 = $127.14

Answer:

Step-by-step explanation:

correct 100%

From the given number line, we have inequality as {x|x≤4.5}. Therefore, option B is the correct answer.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Inequalities on a number line allow us to visualize the values that are represented by an inequality. To represent inequalities on a number line we show the range of numbers by drawing a straight line and indicating the end points with either an open circle or a closed circle.

From the given number line, we have inequality as {x|x≤4.5}

Therefore, option B is the correct answer.

To learn more about the inequalities visit:

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Answer:

Step-by-step explanation:

∠OST = 90° as ST ⊥ OS (tangent is perpendicular to radius at same point)

m∠OSP = 1/2(180° - m∠SOP) = 90° - 96°/2 = 42° (sum of interior angles of the triangle SOP)

m∠PST = 90° - m∠OSP = 90° - 42° = 48° (angle addition postulate)

Correct choice is B

Answer:

7:16 P.M.

Step-by-step explanation:

24/90=4/15. There are 60 minutes in an hour, so we have 240/15=16.

Answer:

false =D

Step-by-step explanation:

Answer:

22 degrees

Step-by-step explanation:

BAC=90 and DAC=68

DAC+BAD=BAC=90

so BAD=BAC=DAC

so BAD=90-68

= BAD=22 degrees

Answer:

The answer according to my calculations would be 22 degrees

Step-by-step explanation:

Fill in the box 22

Answer:

c. 20/21

Step-by-step explanation:

You just multiply straight

3×7 = 21

4×5 =20

21/20 <---- and it can't be reduced farther than this.

Answer:

C. ²¹⁄₂₀

Step-by-step explanation:

OKOKOK DON'T WORRY I'M HERE :)))

--

When multiplying fractions, you multiply the numerators together and then multiply the denominators together.

The numerators here are 3 and 7. Multiply those and you get 21 (7 x 3 = 21).

The denominators here are 4 and 5. Multiply those and you get 20 (4 x 5 = 20).

Then you put the newly-multiplied numerator over the newly-multiplied denominator and you get ²¹⁄₂₀.

Hope this helped!!

9514 1404 393

Answer:

  n = 16

Step-by-step explanation:

Angle ABC is the sum of its parts.

  ∠ABC = ∠ABF +∠FBC

  159° = (7n +20)° +(2n -5)°

  159° = 9n° +15° . . . . . . . . . . . . . . collect terms

  144° = 9n° . . . . . . . . . . subtract 15°

  16° = n°

  n = 16

Answer:

Here is the detailed answer below

Step-by-step explanation:

Answer:

3pw + w^2 - 3p^2 - pw = 2pw + w^2 - 3p^2

Step-by-step explanation:

Multiply every term of the first binomial by every term of the second binomial.

(w - p)(3p + w) = 3pw + w^2 - 3p^2 - pw = 2pw + w^2 - 3p^2

Answer:

5000

Step-by-step explanation:

Answer:

37.3

Step-by-step explanation:

tan63 = opposite/adjacent = x/19

x = 19tan63 = 37.2895 = 37.3

Formula used: [tex]b=\sqrt{c^2-a^2}[/tex]

a = 19

b = x

c = 63

solution

b = [tex]\sqrt{c^2-a^2}[/tex]

b = [tex]\sqrt{63^2-19^2}[/tex]

b = [tex]\sqrt{3,969 -361}[/tex]

b = [tex]\sqrt{3,608}[/tex]

b = [tex]\sqrt{60.0666}[/tex]

rounded off: 60.0 or just 60

x = 60

Answer:

UWUNOE BRO HUUZEM HIHUDHS

Step-by-step explanation:

Answer:

26 cm^2

Step-by-step explanation:

(b*h)/2 is the area formula of a triangle (use it for your other questions!)

base here is the bottom-most side, the one that is 13 degrees. the side that is 4 cm is the height.

13*4 = 52 and 52/2 = 26

Area is 26

Answer:

they are the values of the 3 coefficients.

Step-by-step explanation:

Answer:

if your trying to find the area of the square it's 1024 if your trying to find the circumference of the circle it's 32π ( also known as 32 x pi)

Is this all one equation?

If it isn't, here:

-6x ^ 2 - 4x <-- Equation 1

18 - 9 + 18 - 9 = 18 <-- Equation 2

If it is:

-5x + x - 6x ^ 2 + 6 * 3 - 4 - 5 + 18 - 9

-4x - 6x ^ 2 + 18 - 9 + 18 - 9

-4x - 6x ^ 2 + 18

Then we order it

-6x ^ 2 - 4x + 18

Answer:

1) perimeter = sum of all the sides = 3y+9+2y+4+y+3+2y+4 = 8y+20

2) P = 4(5x-2) = 20x-8

Answer:

B

Step-by-step explanation:

the answer is B because, our range starts at 2 but does not include 2 and continues to infinity (x>8) does not have a boundary.

7/8 = x/56

x = 7 x 7

so, 49/56 = rod

so, 49 pieces will be made

hope it helps :)

Answer:

(-8, 0) and (-2, 0)

Step-by-step explanation:

The root of a parabola are the places at which the parabola intersects the x-axis. As one can see, on the graph these points are the following: (-8, 0) and (-2, 0). Thus, the roots of the parabola are (-8, 0) and (-2, 0).

Answer:

-8 and -2

Step-by-step explanation:

Hello!

The roots of the parabola are the points where the graph intersects the x-axis. The x-axis is the equation y = 0.

There are two roots for this parabola, as the vertex is lower than y=0, and it opens up.

The two points of intersection are:

Therefore, the roots of the parabola are -8 and -2.

Answer: 3128 students

Step-by-step explanation:

Total no of students in the school : 3200

No of sophomores in favor of the school forming a crew team : 38

No of the remaining students in favor of forming a crew team : 34

Total students in favor of forming a crew team = 38+34= 72

No of students against it : Total students - Students in favor

                                          = 3200-72 = 3128 students

Explanation

a sanwich which is most commonly a square, has the side lengths of 5 and 5.

cuting this in half will give you a 45-45-90 triangle

the legs will be measure of x, and the hypotonuse will be x[tex]\sqrt{2}[/tex]

so the hypotonuse is  5[tex]\sqrt{2}[/tex]

The diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.

Using the Pythagorean theorem, we can calculate the diagonal length as follows:

diagonal² = length² + height²

diagonal² = (5 inches)² + (3.5 inches)²

diagonal² = 37.25 inches²

Taking the square root of both sides, we find:

diagonal = √37.25 inches

Calculating the square root of 37.25, we get:

diagonal ≈ 6.106 inches

Therefore, the diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.

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