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Proof:


Statements Reasons


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2. are alternate

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3. 3.

4. 4.

5. 5.


Buntun Bridge

Given that the amount of fiber in 100 grams of beans is 3.6 grams the amount of fiber consumed from  [tex]\mathbf{\frac{2}{3}}[/tex] of the small tin is 4.8 grams.

From the given table, we have;

Mass of fiber in 100 g of beans = 3.6 grams

Mass of beans in the small tin = 200 grams

The quantity of the beans eaten = [tex]\frac{2}{3}[/tex] of the small tin

Required:

The amount of fiber to consumed from eating  [tex]\frac{2}{3}[/tex] of the small tin

Solution;

[tex]Amount \ of \ fiber \ consumed = 200 \, g \times \dfrac{3.6 \, g}{100 \, g} \times \dfrac{2}{3} = \mathbf{4.8 \, g}[/tex]

Therefore;

The amount of fiber consumed by eating [tex]\frac{2}{3}[/tex] of the small tin = 4.8 grams

Learn more about fractions here:

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Using the Central Limit Theorem, it is found the correct option regarding why the large-sample confidence interval for these data.

c. Because there are only 6 skaters in one group having wrist injuries.

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex], that is, as long as there are at least 10 successes and at least 10 failures in the sample.

In this problem, for the sample of people wearing wrist guards, only 6 had injuries, hence the large-sample confidence interval should not be used and option C is correct.

To learn more about the Central Limit Theorem, you can check https://brainly.com/question/24663213

Answer:

2.2

Step-by-step explanation:

Answer:

2.2

Step-by-step explanation

The reason for this is because if you turn 1/5 into a 10th then you need to multiply 2/2 x 1/5= 2/10= 0.2. and the 2 goes before the decimal point and you get

2.2

Answer:

Step-by-step explanation:

using the simple interst formula;

SI = Principal * Rtae * Time/100

Given

Principal = $550

SI = $80

Time = 3 month = 3/12 years

Required

Annual interest rate

Substitute

80 = 550 * R * 3/12*100

80 = 1650R/1200

96000 = 1650R

R = 1650/96000

R = 0.017

Rate = 0.017 * 100 = 1.7%

Answer:

5 candies

Step-by-step explanation:

25×4=100

100/20=5

Answer:

Second answer, O mean = 179 and standard deviation = 21 minutes.

Step-by-step explanation:

The mean will decrease but the standard deviation(average difference) between the data points will remain the same.

Answer:

alternative hypothesis test

Explanation:

Remember, the alternative hypothesis test usually suggests that there is a chance of variation (difference) in the data observed.

Hence, since we are told the "real estate agent believes that the values of houses in the neighborhood she works in have increased (the chance of variation) from last year," and that "each difference is calculated by subtracting the market value of the previous year from the market value of the current year," we can reach the conclusion that this is an example of an alternative hypothesis test.

Answer:

any number

Step-by-step explanation:

Answer:

solve

Step-by-step explanation:

do 840 divided by 60

Answer:

14 in

Step-by-step explanation:

cubic means three

take the 2 you do have:

6 and 10

multiply them:

60

divide 840 by 60 to get the third:

14

Answer:

0

Step-by-step explanation:

let the vertices on either side of the 0 be A and B

then let the vertex opposite of O be C

First, angle ACB will be equal to 90° as it is the angle that lies on the same arc as the diameter. From there you can find angle y with angle A+ angle B+ Angle C=180°

then you can find the angle complementary to x with the same formula then you can subtract that angle with 90° to get x.

Answer:

c. 456,976,000

Step-by-step explanation:

Number of Letters = 4

Number of Letters on the Alphabet = 26

Total Numbers used = 3

Total Range of Numbers = (0-9)

Since the first 4 characters are letters, the total number of combinations for each of them would equal to 26.

And for the following 3 numbers, the total number of combinations for each of them would equal to 10.

To find the answer, we multiply all the values:

26*26*26*26*10*10*10 = 456,976,000

Answer:

3

Step-by-step explanation:

Im did this in school but i forgot how so its probably wrong

Answer:

x = -1

Step-by-step explanation:

[tex]0= \frac{x+1}{x-2}\\[/tex]

Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by x−2.

0 = x + 1

Swap sides so that all variable terms are on the left hand side.

x + 1 = 0

Subtract 1 from both sides. Anything subtracted from zero gives its negation.

x = -1

Look at the left-most part of the blue diagram. It is 1 unit high. The corresponding left-most part of the red diagram is 2 units high, which is twice as high as the blue portion it corresponds to.

The scale factor tells us how to enlarge or shrink the object. In this case, the red figure is twice as tall and wide compared to the blue figure.

You can pick any pair of corresponding sides to get the scale factor.

Answer:

rational

Step-by-step explanation:

beacaue its a ration

Answer:

It is a rational number

The equation [tex]f(t) = \sin(2t)[/tex] is an illustration of a sine function

The equation of the sine function is given as:

[tex]f(t) = \sin(2t)[/tex]

A sine function is represented as:

[tex]f(t) = A\sin(B(t + C)) + D[/tex]

Where

A represents the amplitude

By comparison;

A = 1

Hence, the amplitude of the function is 1

In (a), we have:

[tex]f(t) = A\sin(B(t + C)) + D[/tex]

Where the period is:

[tex]T = \frac {2\pi}B[/tex]

By comparison;

B = 2

So, we have:

[tex]T = \frac {2\pi}2[/tex]

[tex]T = \pi[/tex]

Hence, the period of the function is [tex]\pi[/tex]

Read more about sine wave functions at:

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Answer:

A on edge

Step-by-step explanation:

Answer:

They can expect that 36 people will not attend.

Step-by-step explanation:

We are trying to figure out how many people didn't attend, so that would be 10 invites - 7 attendees = 3 bailers, so 3/10 people won't attend.

Now, you need to multiply that ratio to become 120 people:

3/10 --> x/120

In order to change that fraction, you must figure out what 120/10 is:

120/10 = 12

This means that the denominator was multiplied by 12, so the numerator must also be multiplied by 12 to get x:

3/10 --> (3*12)/120

--> 36/120

36 out of 120 people can be expected not to attend.

Answer:

y= 11/13x + 36/13

Step-by-step explanation:

y=mx+b

y2 -y1         -4-7 = -11

x1-x2           -8-5= -13

slope is 11/13

Answer:

y = [tex]\frac{11}{13}[/tex] x + [tex]\frac{36}{13}[/tex]

Step-by-step explanation:

First, find the slope of the line passing through the points

Then find the y-intercept of the line

Then construct the formula

1. find the slope

remember the formula

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] is used to find the slope

now plug in the given points

(5, 7)

(-8, -4)

[tex]x_{1} = 5\\y_{1} = 7\\x_{2} = -8 \\y_{2} = -4[/tex]

[tex]\frac{(-4) - (7)}{(-8) - (5)}[/tex]

simplify and solve

= [tex]\frac{-11}{-13}[/tex]

= [tex]\frac{11}{13}[/tex]

2. find the y-intercept

remember the base formula for a line

y= mx + b

where m is the slope and b is the y-intercept

we know the slope, so now plug in one of the given coordinates for a point on the line and slove to find the y-intercept

y = mx + b

y = [tex]\frac{11}{13}[/tex]x + b

use the first set of given coordinates for a point on this line: (5, 7)

7 = [tex]\frac{11}{13}[/tex]  * 5 + b

solve by inverse operations and simplifying

7 = [tex]\frac{55}{13}[/tex] + b

[tex]\frac{36}{13}[/tex] = b

3. construct the formula

now we know the slope and the y-intercept, all we have to do now is substitute it into the base formula for a line:

y = mx + b

where m is the slope and B is the y-intercept

we found that

m = [tex]\frac{11}{13}[/tex]

and

b = [tex]\frac{36}{13}[/tex]

so that means the equation is

y = [tex]\frac{11}{13}[/tex] * x + [tex]\frac{36}{13}[/tex]

Answer:

5,155 Fish

Step-by-step explanation:

Multiply 5,000 by 3.1%. After doing so, you should get 155. Add this 155 to the 5000 fish and you will have 5,155 fish in the first year.

Answer:

3x=38-2

3x=36

3x÷3=36÷3

x=12

Step-by-step explanation:

You start by grouping the like terms on one side, 2 is a constant number so you will group it with the constant 38. When you swap it to the other side of the equal sign, you change its sign. After you will divide both sides of the equation by the coefficient of x which is 3,in order to get the value of x.

Answer:

67

Step-by-step explanation:

d(n) = 4n + 2

= 4(5) + 2

=22

t(d(n)) = 3(22) + 1

= 67

Answer:

6.6 inches

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

A trend line should attempt to be in the middle of the data points not above them. If it does not do as staed above, it is NOT a correct trend line.

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Answer:

95

Step-by-step explanation:

Because I did the math, and it answered 95.

Answer:

5) 3 units

6) 9 units

7) 15.5

8) 67

Answer:

405$

Step-by-step explanation:

81(2 + 3)

81(5)

405

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Answer:

2 + 3 is 5= 81 * 5 = 405

Step-by-step explanation:

The coordinates are based on two factors: the x coordinate and the y-coordinate.

The x coordinate is the position of the coordinate horizontally.

The y coordinate is the position of the coordinate vertically.

Berlin is at x-coordinate of 7 and y-coordinate of 8.

Thus the whole coordinate for Berlin is (7,8).

Hope that helped!