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3 years ago

Mr. Rulaski gives $30 to Bailey and Jenny. If Bailey gets twice as much money as Jenny, how much will Jenny get?

Mathematics

1 answer:

Bond [772]3 years ago

3 0

Total amount of money = amount Jenny receives + amount Bailey receives
$30 = 2j + j
30 = 3j
j = $10

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Solve 4 | x + 7|= 16.

elena55 [62]

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3 years ago

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A student repeatedly measures the mass of an object using a mechanical balance and gets the following values: 560 g, 562 g, 556

MrRissso [65]

Answer: 2.76 g

Step-by-step explanation:

The formula to find the standard deviation:-

$\sigma=\sqrt{\dfrac{\sum(x_i-\overline{x})^2}{n}}$

The given data values : 560 g, 562 g, 556 g, 558 g, 560 g, 556 g, 559 g, 561 g, 565 g, 563 g.

Then, $\overline{x}=\dfrac{\sum_{i=1}^{10} x_i}{n}\\\\\Rightarrow\ \overline{x}=\dfrac{560+562+556+558+560+556+559+561+565+563}{10}\\\\\Rightarrow\ \overline{x}=\dfrac{5600}{10}=560$

Now, $\sum_{i=1}^{10}(x_i-\overline{x})^2=0^2+2^2+(-4)^2+(-2)^2+0^2+(-4)^2+(-1)^2+1^2+5^2+3^2\\\\\Rightarrow\ \sum_{i=1}^{10}(x_i-\overline{x})^2=76$

Then, $\sigma=\sqrt{\dfrac{76}{10}}=\sqrt{7.6}=2.76$

Hence, the standard deviation of his measurements = 2.76 g

6 0

3 years ago

(Q2) Which of the following points lies on the graph of the function y = 4x ?

stepladder [879]

Answer:

Step-by-step explanation:

I think I will answer the question the your attachment because it has full information.

The function is: y = 3* $2^{x}$

a. The function decreases

Wrong, because the base number is 2 and it is greater than 0. The function will go up

b. y=intercept of (0.2)

Wrong, Let substitute x =2 into the function: y = 3* $2^{2}$ = 12

c. if x increase by 1, the value of y will double

Because the base number is 2. For example:

If x = 2, y = 3* $2^{2}$ = 12

If x =3, y =3* $2^{3}$ =(3* $2^{2}$ *)2 = 24

d. contains the point (2,4)

Wrong, Let substitute x =4 into the function: y = 3* $2^{4}$ = 48

So we choose C

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3 years ago

What is the slope of the line that contains the points (-1, 2) and (4, 3)?

Vika [28.1K]

Answer:

Slope: 1/5

Step-by-step explanation:

-1,2

4,3

-1 - 2 = -1

-1 - 4 = -5

-1/-5 = 1/5

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3 years ago

Find all the missing angles: a, b, c, d.

morpeh [17]

Answer:

a= 180-60-55=65

we know that the angle of a flat(?) ground would be 180, so we can take away the 60 and 55 to find a.

b=180-90-65=25

the sum of interior angle of a triangle would be 180, now we know what a is, also the right angle is 90, now we can take away the 90 and 65 to find b.

c=25

c is 25, because two angles on both sides of a X is the same

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3 years ago