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4 years ago

Question 1 (1 point)

Mathematics

1 answer:

Natalija [7]4 years ago

3 0

Answer: 20, 50, and 30

Step-by-step explanation:

A fact family includes the same set of numbers. For example relating to to this Using Subtraction and addition. When adding or Subtracting you should get the same set of numbers .

= 50 - 20 = 30

50 - 20 = 30 50 - 30 = 20

50 - 20 = 30 50 - 30 = 2020 + 30 = 50

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From previous polls, it is believed that 66% of likely voters prefer the incumbent. A new poll of 500 likely voters will be cond

Vladimir79 [104]

Answer:

The mean and standard deviation of the number preferring the incumbent is mean = 330, standard deviation = 10.59.

Step-by-step explanation:

We are given that From previous polls, it is believed that 66% of likely voters prefer the incumbent.

A new poll of 500 likely voters will be conducted. In the new poll the proportion favoring the incumbent has not changed.

Let p = probability of voters preferring the incumbent = 66%

n = number of voters polled = 500

So, the mean of the number preferring the incumbent is given by;

Mean = $n \times p$ = $500 \times 0.66$

= 330 voters

And, standard deviation of the number preferring the incumbent is given by;

Variance = $n \times p\times (1-p)$

= $500 \times 0.66 \times (1-0.66)$

= 112.2

So, Standard deviation = $\sqrt{Variance}$

= $\sqrt{112.2}$ = 10.59

7 0

3 years ago

-5(3t-5)+7t=8t-6 solve.

saw5 [17]

-5(3t-5)+7t=8t-6
-15t + 25 + 7t = 8t - 6
-15t + 7t - 8t = -6 - 25
-16t = -31
16t = 31
t = 31/16 = 1.9375

5 0

3 years ago

Which expression is equivalent to 4 square root 6 divided by 3 root 2?

saw5 [17]

Answer:

$\sqrt[12]{55296}$ /2

Step-by-step explanation:

$\sqrt[4]{6}$ / $\sqrt[3]{2}$ =1.2422

$\sqrt[12]{27}$ /2=0.66 <-- not matching with the top expression.

$\sqrt[4]{24}$ /2=1.11<--not matching with the top expression.

$\sqrt[12]{55296}$ /2=1.2422<-- matches!!

$\sqrt[12]{177147}$ /3=0.91<-- not matching with the top expression.

5 0

3 years ago

If a rectangle has side lengths 5x-y and x+4y what would be the area and perimeter of the rectangle?

Dafna1 [17]

Answer:

Answer is given below with explanations. 

Step-by-step explanation:

$given \: \: l = 5x - y \: and \: \: b = x + 4y \\ area \: of \: rectangle \:= l \times b \: sq.units \\ = (5x - y)(x + 4y) \\ = 5 {x}^{2} + 20xy - xy - 4 {y}^{2} \\ = 5 {x}^{2} + 19xy - 4 {y}^{2} \\ perimeter \: of \: rectangle \\ = 2(l + b) \\ = 2(5x - y + x + 4y) \\ = 2(6x + 3y) \\ = 12x + 6y$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

6 0

3 years ago

Confused!! consider the polar axes with the points plotted below. Write the coordinates of point A in polar form. Be sure to wri

irinina [24]

Point A is on the 4th circle from the center, each circle has a radius of 1, so the 4th circle has a radius of 4. The point is also on the angle labeled 5PI/6.

The polar coordinate would be (4, 5PI/6)

Point C, you are given (-3,pi/3)

Because the radius is positive find the 3rd circle, which would be r = 3, Then find where PI/3 is on the circle and find the value opposite that which is 4pi/3

7 0

4 years ago