Find the length of AB

Answer:

The correct option is (B).

Step-by-step explanation:

In this case, we need to test whether the claim made by the new brand of gym shoe is correct or not.

Claim: A new brand of gym shoe claims to add up to 2 inches to an athlete’s vertical leaps.

So, we need to test whether the average vertical leap of all the athletes increased by 2 inches or not after using the new brand of gym shoe.

The sample procedure would be to compute the average vertical leap of a group of athletes in their regular shoes (or a different pair) and the average vertical leap of a group of athletes in their new shoes.

Compare the two averages to see whether the difference is 2 inches or not.

The experimental group would be the one with the new shoes and the control group would be the one with the different pair of shoes.

Thus, the correct option is (B).

Answer:

B) Find the average vertical leap of all the athletes in their regular shoes. Give the experimental group the new shoes and the control group a different pair of shoes. Find the average vertical leap of the athletes in both groups. Compare the increases in vertical leap for each group.

Step-by-step explanation:

Answer:

6/80, 9/120, 12/160 etc

Answer:

3/40 = 6/80 = 9/120 = 12/160 etc......

Hope it helps

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Answer:

[tex] y = x + 4 [/tex]

Step-by-step explanation:

Use the two-point form of the equation of a line.

[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]

[tex] y - 4 = \dfrac{16 - 4}{12 - 0}(x - 0) [/tex]

[tex] y - 4 = \dfrac{12}{12}x [/tex]

[tex] y - 4 = x [/tex]

[tex] y = x + 4 [/tex]

Answer:

y = x + 4

Step-by-step explanation:

An equation for a line looks like:

=> y = mx +b

=> In this equation "m" is the slope.

=> "b" is the y-intercept.

To find the slope:

=> y/x - y1/x1

=> 16/12 - 4/0

=> 16 -4 / 12 - 0

=> 12 / 12

=> 1

So, the slope is 1.

Now our equation looks like:

y = 1x + b

=> y = x + b

Let's take some the values of "x" and "y"  of (0,4)

So, our now look like:

=> 4 = 1 (0) + b

=> 4 = b

So, b (y-intercept) = 4

Now, our final equation is:

=> y = x + 4

Answer:

Soccer you use the lease amount of balls and in tennis you use the most

Answer:

5

Step-by-step explanation:

The midsegment of a trapezoid is equal to one half the sum of the bases.

1. Set up the equation using the midsegment formula: 1/2 (QR + ST)

1/2 (3x + 31) = 8x - 17

2. Solve

1.5x + 15.5 = 8x - 17

32.5 = 6.5x

x = 5

Answer:

[tex]\huge \boxed{23}[/tex]

Step-by-step explanation:

QR < LM < ST

LM is the middle segment, it is in between the length of QR and ST.

LM is also the average or mean of QR and ST.

(QR+ST)/2 = LM

(3x+31)/2 = 8x-17

Multiply both sides by 2.

(2)(3x+31)/2 = (2)8x-17

3x + 31 = 16x - 34

Subtract 16x and 31 from both sides.

3x + 31 - 16x - 31 = 16x - 34 - 16x - 31

-13x = -65

Divide both sides by -13.

(-13x)/-13 = -65/-13

x = 5

Substitute x = 5 for LM.

8(5) - 17

40 - 17

= 23

Answer:

Evaluate each expression inside both grouping symbols, then multiply the result.

Step-by-step explanation:

[tex]\displaystyle (3 - 1)(4 + 2) = (2)(6) = 12[/tex]

G - Grouping Symbols

E - Exponents

M\D - Division & Multiplication [left to right]

S\A - Subtraction & Addition [right to left OR vice versa]

I am joyous to assist you at any time.

Answer:

7/10

Step-by-step explanation:

3/10 + 3/5 - 1/5

Combine like terms

3/10 + 2/5

Get a common denominator of 10

3/10 + 2/5 * 2/2

3/10 +4/10

7/10

Answer:

7/10

Step-by-step explanation:

You want to first get all common denominators, in this case that will be 10.

It is now (3/10)+(6/10)-(2/10)

3+6-2=7

7/10

Answer:

15

Step-by-step explanation:

120+135= 255

255 is 15 more than 240.

15 people enjoy both games.

Answer:

314 cm

Step-by-step explanation:

If Keith's height is 15x and his nephew's height is 7x, we can write the following equation:

1.16 * 15x = 34 + 7x * 2 -- (We get the 1.16 from the 16% increase)

17.4x = 34 + 14x

3.4x = 34

x = 10 so Keith's current height is 1.16 * 15 * 10 = 174 cm and his nephew's height is 174 - 34 = 140 cm for a total current height of 174 + 140 = 314 cm.

Answer:

Please refer to the attached figure.

Step-by-step explanation:

Given the function:

[tex]f(x) =cosx \ where\ \{0^\circ\leq x\leq 360^\circ\}[/tex]

OR, the given function can also be written as:

[tex]y = f(x) = cosx[/tex]

We know that graph of cosine is a wave.

and the range of cosine function is [-1, 1]

First of all, let us have a table of values at major values of x.

[tex]x = 0, f(x) = 1\\x = 90, f(x) = 0\\x = 180, f(x) = -1\\x = 270, f(x) = 0\\x = 360, f(x) = 1[/tex]

So, the table of values for f(x) is:

[tex]\begin{center}\begin{tabular}{ c c }x & cosx \\0 & 1 \\90 & 0\\180 & -1\\270 & 0\\360 & 1\\\end{tabular}\end{center}[/tex]

Let us mark these points on the xy coordinate axis where x axis represents value of x and y axis represents value of [tex]f(x) = cosx[/tex] and then join the points using a wave.

Please refer to the attached graph for the answer image.

Answer:

Step-by-step explanation:

plane parallel to the vertical axis :a rectangle

plane parallel to the circular base: a circle

plane making an angle with the vertical axis without passing though the base or top surface :an oval

plane making an angle with the vertical axis and passing through the base and top surface  :a pair of curved lines connected by straight lines at each of their endpoints

plane making an angle with the vertical axis and passing through either the base or the top surface, but not both: a cut-off section of an oval whose boundary has two endpoints connected by a straight line

Answer:

A. The mean is less than the median.

Step-by-step explanation:

Half the students scored 89.  The next highest score is 79.  So the median is (79 + 89) / 2 = 84.

A few students scored 48, so the mean is slightly lower than the mean of 79 and 89.

Therefore, the mean is less than the median.

Answer:

A. The mean is less than the median.

Step-by-step explanation:

Say that half the students answered 79, and the rest 89.

We'd have a distribution something like this:

79 79 79  89 89 89

The median is in the smack middle. Since we have an even number of scores, the median would be the number between the 2 middle numbers. Here, that's 79 and 89. Thus, the median is 84.

The mean is the "average" of all values. Since we have an equal number of 79s to 89s, the mean would also be in the middle of those values (balancing an equal number on both sides). So, the mean would also be 84.

HOWEVER, we have an unspecified number of 48's.

The distribution looks something like

48 79 79 89 89 89

The median is still the same, smack middle between the 2 values in the middle. 84.

But the mean has changed. We have smaller values on the left. The mean is brought down by these 48 values. It doesn't matter how many, the fact that we have at least 1 will bring the mean, the average, down.

Answer:

rational numbers are perfect squares irrational numbers are non terminating/go on forever

Step-by-step explanation:

Answer:

110° and 70°

Step-by-step explanation:

The angles are supplementary, thus sum to 180°

sum the parts of the ratio, 11 + 7 = 18

divide 180° by 18 to find the value of one part of the ratio

180° ÷ 18 = 10° ← value of 1 part of the ratio

Thus

11 parts = 11× 10° = 110°

7 parts = 7 × 10° = 70°

The angles are 110° and 70°

64 = 63 + 1 = 7*9 + 1, so taken modulo 9, 64 is equivalent to x = 1.

Answer:

42,44,46

Step-by-step explanation:

we first divide the 132 by the 3 which gives 44

since the numbers involved are even numbers and we know even numbers are numbers divisible by 2 we subtract 2 from the 44 and also add 2 to the 44 the get the rest of the two numbers which is from the above explanation

(44-2),44,(44+2)

42,44,46

we can check whether the above numbers are correct by adding to see whether we get 132

42+44+46=132 which are consecutive even numbers

Answer: 42, 44, and 46

Explanation: Make sure you read through the problem carefully so that you recognize that we are dealing with consecutive even numbers here.

So we can represent our numbers as follows.

X ⇒ first even integer

X + 2 ⇒ second even integer

X + 4 ⇒ third even integer

Since their sum is 132, our equation reads x + (x + 2) + (x + 4) = 132.

Solving from here, we find that x = 42.

So x + 2 is 44 and x + 4 is 46.

Answer:

Hey There!! The question to this is: The circumference and the area of the circle are 6.28 yards and 3.14 yd² respectively. The Circumference: This is defined as the distance around a circle.

The circumference of a circle is

P = πd............................. Equation 1

Where p = circumference of the circle, d = diameter of the circle

Area: This is the region bounded by a plane surface.

The area of a circle is

A = πd²/4 .................................. Equation 2

Where A = area of the circle, π = pie = constant.

Given: d = 2 yd.

Constant: π = 3.14

Substituting these values into equation 1 and 2 respectively.

P = 3.14(2)

P = 6.28 yard.

P = 6.28 yd

and

A = 3.14(2)²/4

A = 3.14×4/4

A = 3.14 yd²

Thus the circumference and the area of the circle are 6.28 yards and 3.14 yd² respectively.

Hope This Helped!~ ♡

ItsNobody~ ☆

Answer:

This problem shows an expression, not an equation.

It cannot be solved.

An equation needs an equal sign.

Answer:

1/4

1/3

Step-by-step explanation:

If one number is odd, then the other number must also be odd in order for the sum to be even.  There are 3 odd numbers per dice, so the probability is (3/6)² = 1/4.

If one number is 6, the other number must be 1 or 2 for the product to be at most 15.  The probability is 2/6 = 1/3.

Answer:

Below

Step-by-step explanation:

To prove that the diagonals bisect each other we should prove that they have a common point.

From the graph we notice that this point is E.

ABCD is a paralellogram, so E is the midpoint of both diagonals.

●●●●●●●●●●●●●●●●●●●●●●●●

Let's start with AC.

● A(0,0)

● C(2a+2b,2c)

● E( (2a+2b+0)/2 , (2c+0)/2)

● E ( a+b, c)

●●●●●●●●●●●●●●●●●●●●●●●●

BD:

● B(2b,2c)

● D(2a,0)

● E ( (2a+2b)/2 , 2c/2)

● E ( a+b ,c)

●●●●●●●●●●●●●●●●●●●●●●●●●

So we conclude that the diagonals bisect each others in E.

Answer:

C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The lower quartile range is shown by the bottom of the box which is at 10.

The median is shown in the middle line, which is closer to 18 than 18.5.

The upper quartile range in the end of the box, which is at 22!

(You can also look at the picture attached if that helps.)

Answer:

6.5×10'3=6,500.

5.5×10'5=550,000

1.1×10'3=1,100

so as u can see the second number is greater

by 548,900

Answer:C

Step-by-step explanation: 5.5 is 500 times better than 1.1 I did the math.

5.5 x 10^5 = 550,000

1.1 x 10^3 = 1,100

500 times greater

Answer:

He will have $538.75 after one year.

Step-by-step explanation:

First we need to find how much is 7.75% of 500. We can find it by multiplying 500 x .0775

This equals 38.75

That means after one year, he has $38.75 more.

500+38.75=538.75

He will have $538.75 after one year.

Answer:

1/8 = 2³ * 2⁻⁶

Step-by-step explanation:

2³ * 2⁻⁶ = 2³⁻⁶ = 2⁻³ = 1/2³ = 1/(2*2*2) = 1/8

false

Step-by-step explanation:

false

Answer:

1)1,0395x10^9

2)its already in scientific notation?

If you write it in standard notation, which is actually just regular notations it's 400.

Step-by-step explanation:

Scientific notation can be used to represent very large or small numbers. A number written in scientific notation will have one non-zero digit to the left of the decimal point, multiplied by a power of  10 , with the power corresponding to the amount of places the decimal should move.

Answer:

5 cm

Step-by-step explanation:

The volume (V) of milk in the container is calculated as

V = 8 × 15 × 12 = 480 cm³

After change of position with depth d then

8 × 15 × d = 480

120d = 480 ( divide both sides by 120 )

d = 4 cm

Answer:

a = – 8

Step-by-step explanation:

From the question:

When P(x) = 2x³ – ax² + 4x – 4 is divided by x – 1, it gives a reminder of 10.

To obtain the value of a, we shall equate x – 1 to 0 as illustrated below:

x – 1 = 0

x = 0 + 1

x = 1

Next, we shall substitute the value of x into 2x³ – ax² + 4x – 4 and equating it to 10 as illustrated below:

2x³ – ax² + 4x – 4 = 10

x = 1

2(1)³ – a(1)² + 4(1) – 4 = 10

2 – a + 4 – 4 = 10

2 – a = 10

Collect like terms

– a = 10 – 2

– a = 8

Divide through by –1

a = – 8

Therefore, the value of a is –8.

Answer:

The order from least to greatest is B, A, C

Step-by-step explanation:

Given

Recipe A = 3 bananas to 12 Muffins

Recipe B = 5 bananas to 24 Muffins

Recipe C = 11 bananas to 48 Muffins

Required

Order the recipe from least to greatest

To solve this, we have to divide the number of bananas by number of muffins; this will give the unit banana per muffin

Recipe A: 3 bananas to 12 Muffins

[tex]A = \frac{3}{12}[/tex]

[tex]A = 0.25[/tex]

Recipe B: 5 bananas to 24 Muffins

[tex]B = \frac{5}{24}[/tex]

[tex]B = 0.2083[/tex]

Recipe C: 11 bananas to 48 Muffins

[tex]C = \frac{11}{48}[/tex]

[tex]C = 0.229167[/tex]

By comparison;

Recipe B (0.2083) is the smallest; followed by Recipe C (0.229167) then Recipe A (0.25)

Hence; the order from least to greatest is B, A, C

Answer:

its BCA

Step-by-step explanation: