The angle is 1/5 of the circle. what is the measure of the angle?

Use the distributive property to write an equivalent expression. 9(9x+2y-6)

Marizza181 [45]

Step-by-step explanation:

Multiply the number outside the brackets to the numbers inside:

So,

9 * 9x = 81x

9 * 2y = 18y

9 x -6 = -54

So the simplified or equivalent expression is:

81x + 18y - 54

4 0

1 year ago

Carmen is playing draw & compare decimals with her partner. Carmen drew 4,7,6,0, and 2 and has to use three of the cards to

GenaCL600 [577]

Answer:

For more;

4.76

for less;

0.46

Step-by-step explanation:

Here, we intend getting the decimals that Carmen should make in her game given the numbers she drew

She has two types to make; a decimal less than 1 and a decimal more than 1

If the decimal should be less than 1, the number zero should lead;

And since she is using three of the numbers, we can have something like;

0.46

To make a decimal more than one, she could actually start with any of the numbers other than zero

we can have something like 4.76

5 0

2 years ago

One of the questions Rasmussen Reports included on a 2018 survey of 2,500 likely voters asked if the country is headed in right

kap26 [50]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

553 - No

70 - Not Sure

384 - Yes

Total = (553 + 70 + 384) = 1007

Proportion who do think country is headed in the right direction :

P = yes / total = 384/1007 = 0.381

b.) Error margin at 95%

Margin of Error = Zcritical * √p(1-p)/n

1-p = 1 - 0.381 = 0.619

Zcritical at 95% = 1.96

Margin of error = 1.96 * √0.381(0.619)/1007

Margin of error = 0.030

C.)

95% confidence interval for heading in the right direction:

P ± margin of error

P ± 0.030

Lower boundary = 0.381 - 0.030 = 0.351

Upper boundary = 0.381 + 0.030 = 0.411

(0.351 ; 0.411)

D.)

Confidence interval for people who don't think :

P = 553 / 1007 = 0.549

Confidence interval = P ± margin of error

Error margin at 95%

Margin of Error = Zcritical * √p(1-p)/n

1-p = 1 - 0.549 = 0.451

Zcritical at 95% = 1.96

Margin of error = 1.96 * √0.549(0.451)/1007

Margin of error = 0.031

P ± margin of error

P ± 0.031

Lower boundary = 0.549 - 0.031 = 0.518

Upper boundary = 0.549 + 0.031 = 0.580

(0.518 ; 0.580)

E.)

The interval with smaller error margin is ; 0.030 (those who think country is headed in the right direction because sample proportion is farther from .5 / farther from 1)

6 0

2 years ago

Kate has a rectangular garden that is 8 feet long by 3 feet wide. She wishes to extend the length and width by the same amount i

elena55 [62]

Let the extension of the length and width be x.
The new dimensions are: Length = 8+x
Width =3+x
Area = 104 ft squared
Area of a rectangle = Length x Width
Therefore,
(8+x)(3+x) = 104
x^2 +11x +24=104
x^2 +11x +24-104=0
x^2 +11x-80=0

Factorize using splitting the middle term method. X^2 +16x-5x-80=0 x(x+16)-5(x+16)=0 (x-5)(x+16)=0 either x-5 = 0 or x+16=0 x=5 or x=-16 length and width measure cannot be negative. Therefore, the extension of the length and width is 5 feet each.

4 0

2 years ago

Which term of the AP 21, 18, 15 ...... is -81 ?

amid [387]

Given AP is 21 ,18,15,...

First term = 21

Common difference = 18-21 = -3

Let an = -81

We know that

an = a+(n-1)d

⇛21+(n-1)(-3) = -81

⇛ 21-3n+3 = -81

⇛24-3n = -81

⇛ 24+81 = 3n

⇛ 105= 3n

⇛ n = 105/3

⇛ n = 35

35th term of the AP is -81.

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3 0

2 years ago