find the sale price of the item. round to two decimal places in necessary.

Answer:

f(-2) = -6

Step-by-step explanation:

In the expression, to get f(-2);

we simply substitute the value of x with -2

We have this as;

f(-2) = -4(-2)^2 + 10

f(-2) = -4(4) + 10

f(-2) = -16 + 10

f(-2) = -6

The interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

The interval estimate of the population mean can be found out using the following formula:

[tex]\overline X\pm MOE[/tex]

Here, [tex]\overline X[/tex] is the average mean, and the MOE is the margin of error.

On a highway, a random sample is taken of the speed, in mph, of 50 cars.

Put the values in the above formula as,

[tex]61.8\pm 2.3\\59.5,641[/tex]

Thus, the interval estimate of the population mean

[tex]59.5 < h < 61.8[/tex]

Hence, the interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.

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Step-by-step explanation:

The general form of a straight line is y = mx + c, where m is the line's slope and c is the y-intercept.

For y = 3x + 2, the slope is positive 3 and the y-intercept is 2. The line should rise up and pass through the point (0, 2).

We are between Options B and C.

In Graph B, the line raises by 4 units for every 2 units across. Hence its slope is 4/2 = 2.

In Graph C, the line raises by 3 units for every 1 unit across. Hence its slope is 3/1 = 3.

Since we want 3 as the slope,

The answer is Option C.

The graph C represents y=3x+2​

A diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.

The general form of a straight line is y = mx + c, where m is the line's slope and c is the y-intercept.

For y = 3x + 2, the slope is positive 3 and the y-intercept is 2. The line should rise up and pass through the point (0, 2).

We are between Options B and C.

In Graph B, the line raises by 4 units for every 2 units across. Hence its slope is 4/2 = 2.

In Graph C, the line raises by 3 units for every 1 unit across. Hence its slope is 3/1 = 3.

Since we want 3 as the slope,

The answer is Option C.

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Answer:

11

Step-by-step explanation:

25% is 0.25 or 1/4

44 x 0.25 =11

Answer:

0.02

Step-by-step explanation:

High schools A :

Percentage of participants in on the school athletic team = 20%

Pa = 20% = 0.2

High school B:

Percentage of participants in on the school athletic team = 18%

Pa = 18% = 0.18

The mean of sampling distributon is :

Pa - Pb

0.2 - 0.18

Hence, Mean of sampling distribution is 0.02

Answer:

300,000 liters

Step-by-step explanation:

Let us have the measurements in cm

100 cm = 1 m

so the measurements are multiplied by 100

we have this as;

1500 by 1000 by 200

The volume is the product of the 3

This is :

1500 * 1000 * 200 = 300,000,000 cm^3

Mathematically, 1 liter = 1000 cm^3

300,000,000 cm^3 will be ;

300,000,000/1000 = 300,000 liters

Answer:

(see below)

Step-by-step explanation:

To put 1138 in expanded form, you should first know that expanded form is separating a number into its place values. Here's what I'm talking about:

1 in expanded form is 1.

11 in expanded form is (10 + 1).

111 in expanded form is (100 + 10 + 1).

So that means that:

1138 in expanded form is (1000 + 100 + 30 + 8).

Answer:

4x

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

15=6%

?=1%

15/6=2.5

2.5=1%

1%=1/100

2.5 x 100=

250

Answer:

b and d

Step-by-step explanation:

Answer:

about 7.8

Step-by-step explanation:

a^2+b^2=c^2

1^2+b^2=8^2

2+b^2=64

B^2=62

B= about 7.8

Answer:

49.53 nautical miles

Step-by-step explanation:

Adding 36 and 21 we get 57 miles.

57 converted to nautical miles would be 49.53

Answer:

609

Step-by-step explanation:

ratio of teachers to students at Priory School =2:27

Let X= total number of both the students and the teacher

Ratio of teacher=( 2/29)X

Ratio of student is (27/29 )X

But total number of teacher = 42

2/29 ×X =42

2X= 42×29

2X=1218

X= 609

Hence, school's total population is 609

Answer:

a. x=0

b x=-8

c x=49/2

Step-by-step explanation:

a. x2+4=4

subtract 4 from both sides

x2=0

multiply

2x=0

divide by 2

x=0

b x2 + 16 = 0

multiply

2x+16=0

subtract both sides by 16

2x=-16

divide by 2

x=-8

c  x2 − 49 = 0

multiply

2x-49=0

add 49 to both sides

2x=49

divide both sides by 2

x=49/2

Answer:

a. X= 0

b. X= undefined or X=4i

c. X= + or - 7

Step-by-step explanation:

a. x² + 4 = 4

when 4 goes to the other side by negative sign it will cancel the other 4. at they equal in magnitude and opposite in sign.

then x² = 0 , where √x²=√0 , finally x=0

b. x² + 16 = 0

16 goes to other side by negative sign too

x² = -16 , where √x²=√-16 , finally x= undefined

due to the negative sign under thr square root.

at √-1 = i then x can be 4i

c. x² - 49 = 0

-49 go to the other side by positive sign

x² = 49 , where √x² = √49 , finally x= + or - 7

where negative sign is neglected at even power

example:

(-7)²=(7)²

Answer:

Y=-3X+5

Step-by-step explanation:

Answer: angle 5 and angle 10

angle 8 and angle 11

hope this helps!

Answer:

c one demonstrates the distributive property

Answer:

e i think or find out what x =

Answer:

$37.50

Step-by-step explanation:

{25(3)}0.50

-25 people times 3 cups for each person= 75

-0.50 times the amount of cups= 37.50

You would make 37 dollars and 50 cents.

Answer:

Mrs pitoya has to buy 9 crates of apples

Answer: She only needs to buy 5 more crates of apples.

30 + 20(x) = 130

30-30+20(x)=130-30

20x = 100

x = 5

Step-by-step explanation:

Answer:

25m2

Step-by-step explanation:

b = 10

10 divided by 4 = 2.5

h = 2.5

2.5 times 10 = 25m2

Answer:

The jet will cover 2585 miles in 11 hours.

Step-by-step explanation:

Given that:

Distance travelled by jet in 2 hours = 470 miles

Speed of jet = [tex]\frac{Distance}{Time}[/tex]

Speed of jet = 470/2

Speed of jet = 235 miles per hour

Time = 11 hours

Distance travelled in 11 hours = Speed * Time

Distance = 235 * 11

Distance = 2585 miles

Hence,

The jet will cover 2585 miles in 11 hours.

Answer:

2x+5+2x +3x=7x+5       2x +5+ 2x + 3x = 7x+5

Step-by-step explanation:

Answer:

[tex]6\frac{1}{3} or \frac{19}{3}[/tex]

Step-by-step explanation:

Rewriting our equation with parts separated

=8+1/2−2−1/6

Solving the whole number parts

8−2=6

Solving the fraction parts

1/2−1/6=?

Find the LCD of 1/2 and 1/6 and rewrite to solve with the equivalent fractions.

LCD = 6

3/6−1/6=2/6

Reducing the fraction part, 2/6,

2/6=1/3

Combining the whole and fraction parts

6+1/3=6 1/3

Answer:

See proof below.

Step-by-step explanation:

Statements                                           Reasons

1. Seg. DE congr seg GF                     1. Given

2. <1 congr. <2                                     2. Given

3. DE || GF                                            3. Theorem: If 2 lines are cut by a transversal such that alt int angle are congruent, then the lines are parallel

4. DEFG is a parallelogram                4. Theorem: If a quadrilateral has two sides that are congruent and parallel, then it is a parallelogram.