Find the area of each face of the triangular prism and the total surface area.
Drag each tile to its matching measurement. Each number may be used once or not at all.

Answer:

Step-by-step explanation:

Hello!

You have to calculate the linear correlation coefficient (r) between the variables

X₁: temperature

X₂: Number of ice cream cones sold per hour.

The formula to calculate the coefficient of linear correlation between the two variables is the following:

[tex]r= \frac{sumX_1X_2-\frac{(sumX_1)(sumX_2)}{n} }{\sqrt{[sumX_1^2-\frac{(sumX_1)^2}{n} ][sumX_2^2\frac{(sumX_2)^2}{n} ]} }[/tex]

∑X₁= 765; ∑X₁²= 66525 ∑X₂= 134 ∑X₂²= 2228 ∑X₁X₂= 11965 n=9

[tex]r= \frac{11965-\frac{765*134}{9} }{\sqrt{[66525-\frac{(765)^2}{9} ][2228-\frac{(134)^2}{9} ]} }[/tex]

r= 0.97

To test if there is a positive linear association between both variables the statistical hypotheses are:

H₀: ρ ≤ 0

H₁: ρ > 0

critical value 0.666

r= 0.97

The decision is to reject the null hypothesis, there is a positive linear correlation between the temperature and the number of ice cream cones sold per hour.

The regression line is

^Y= a + bX

where

a: represents the estimation of the y-intercept

b: represents the estimation of the slope

[tex]b= \frac{sumXY-\frac{sumXsumY}{n} }{sumX^2-\frac{(sumX)^2}{n} }[/tex]

b= 0.38

a= Y[bar]-bX[bar]

a= -17.69

The estimated regression line for the number of ice cream cones and the temperature is ^Y= -17.69 + 0.38Xi

To estimate the number of ice cream cones sold when the temperature is 80º you have to replace the value of X in the estimated regression line:

^Y= -17.69 + 0.38*80= 12.71

It is expected that they will sell 12.71 ≅ 13 ice cream cones when the temperature is 80º

You can use the estimation of the regression line to predict values within the range of definition of the independent variable, in this case from 65º to 105º of temperature, because it is within those values that you can be sure they have a linear association. Below or above you are not certain that their association is linear, it may be, for example exponential, or there may be no association between them.

Example: If the temperature is comfortable or cold, it is more likely that people won't buy ice creams, so for those values it will be no linear association  between them.

I hope this helps!

Answer:

$172.50

Step-by-step explanation:

1150 * 0.15 = 172.5

Answer:

the answer is 172.50

Step-by-step explanation:

So is the price for the the vacuum 1.150 and the coupon is 15% then u multiply them and get 172.50 which is your answer

Step-by-step explanation

1150 * 0.15 = 172.5

If it was helpful can u mark me brainliest pls!!!!!!!!!!!

Answer:

$2.1 per pound

Step-by-step explanation:

price/pounds

52.92 / 25 = 2.1

Answer:

36

Step-by-step explanation:

consecutive even numbers are 2,4, 6...

Let the smallest of the 3 numbers be x.

2nd number= x+2

3rd number

=x+2+2

= x+4

sum of the 3 numbers= x +x+2 +x+4

114= 3x+6

3x= 114 -6 (-3 on both sides)

3x= 108 (simplify)

x= 108 ÷3

x= 36

Thus, the smallest number is 36.

Let's check!

36+38+40= 114 ✓

Step-by-step explanation:

The roots are equal, so the discriminant equals 0.

b² − 4ac = 0

(2k)² − 4 (k²−1) (3k+1) = 0

4k² − 4 (3k³ + k² − 3k − 1) = 0

k² − (3k³ + k² − 3k − 1) = 0

k² = 3k³ + k² − 3k − 1

0 = 3k³ − 3k − 1

(4x+5)2

Expand the polynomial using the FOIL method.

16x^2−40x+25

c(4x - 5)(4x-5)

Answer:

9.54 cm

Explanation:

area = πr^2

286 cm^2= πr^2

=>πr^2= 286 cm^2

=>r^2= 286÷π

=>r= √286÷π

: 9.54. m

circumference=2πr

=> circumference=2×π×9.54

=60 cm

Answer:

I can't say over or under because I don't know the FHA guidelines but they had $2369.98 left over after the housing costs ($1380.02)

Step-by-step explanation:

Expenses for August= 878.65 + 52.50 + 266.67 +  94.52 + 45.03 + 42.65

= $1380.02

Income-Expenses= 3750-1380.02= 2369.98

Answer:

-11

Step-by-step explanation:

I substitute x in ( put parenthesis around x so it makes it clear)

-9-6-18+9+4+9

simplify

-33+22

-11

Answer: -11

Step-by-step explanation:

That polynomial simplifies to -2x^2-x+4

If we plug in -3 for x, we get -2(-3)^2-(-3)+4 and thats -11

Answer:

True

Step-by-step explanation:

You are adding 3 each time:

Term 1: - 1

Term 2: -1 + 3 = 2

Term 3: 2 + 3 = 5

Term 4: 5 + 3 = 8

Term 5: 8 + 3 = 11

~

Answer:

True

Step-by-step explanation:

if you count 0,1,2,3,4,5,6... a(0) being the FIRST term the answer is A

if you count 1,2,3,4,5... a(1) being the first term (in  this case how do you call a(0) the zeroth term?)

Answer:

The brown house has the longer driveway

Step-by-step explanation:

So we would need to convert both of these units of measurements to feet in order to compare them.

Converting yards to feet, wee need to multiply the number of yards by 3

Since the red house has a driveway of 7 yards and 9 feet, we can rewrite this to 21 feet + 9 feet, which is equivalent to 30 feet

Now comparing the two driveways, the 35 ft-long brown driveway is 5 feet longer than the 30 ft-long red driveway.

The brown house has the longer driveway

Answer:

It is a positive number.

Step-by-step explanation:

Numbers that are above 0 are considered positive and numbers below 0 are considered negative.

~Anna

Answer:

true

Step-by-step explanation:

3n3n3p0mdo98rueu33

Answer:

48/5≈ 9 3/5

Step-by-step explanation:

12 is the same thing as 12/1

so your multiply fractions

4/5 times 12/1

numerator=top

denominator=bottom

so to multiply a fraction you multiply the numerator times the numerator

so in that case your multiplying 4 times 12

=48

to find the bottom half you multiply the denominator times the denominator

in that case is 5 times 1

=5

numerator/denominator

48/5

if you want to simplify it further simply divide 48/5

5 goes into 48 about 9 times

and were left with 3/5

so 9 and 3/5

pls mark me brainliest

Answer: 6.534 x 10^(-1)

Step-by-step explanation:

Six thousand five hundred and thirty four ten thousandth

6534/10000

Convert to decimal

6534/10000=0.6534

Then convert to standard form

0.6534=6.534 x 10^(-1)

Answer:

9 ft

Step-by-step explanation:

You can use cosine to solve this, which is adjacent over hypotenuse. The ladder forms a triangle with the house, and the side you need to solve for is adjacent to the angle. You can set up the equation:

cos(50)=x/14

Then you multiply 14 by cos(50) and get almost 9 ft (rounding to the nearest tenth of a foot).

Answer:

x = sqrt(15) - 1 or x = -1 - sqrt(15)

Step-by-step explanation:

Solve for x:

x^2 + 2 x + 7 = 21

Subtract 7 from both sides:

x^2 + 2 x = 14

Add 1 to both sides:

x^2 + 2 x + 1 = 15

Write the left hand side as a square:

(x + 1)^2 = 15

Take the square root of both sides:

x + 1 = sqrt(15) or x + 1 = -sqrt(15)

Subtract 1 from both sides:

x = sqrt(15) - 1 or x + 1 = -sqrt(15)

Subtract 1 from both sides:

Answer: x = sqrt(15) - 1 or x = -1 - sqrt(15)

Answer: a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The appropriate test is a t-test for slope. The test statistic is t = 2.68 and the p-value is 0.005. Because the p-value, 0.005, is less than α=0.05 we have convincing evidence that there is a positive linear relationship between the amount of water received and how tall the sunflower plants grew.

Answer:

h(11) = -20 + 11(11)

h(11) = -20 + 121

h(11) = 101

Step-by-step explanation:

replace t by 11

do multiplication

add them together

Answer:

h(t) =−20+11t  h(11)= 101

Step-by-step explanation:

Answer: 32

Step-by-step explanation:

All you have to do is is multiply 8 by the numbers in the parentheses. So you multiply 8 by 3, which equals 24. Then multiply 8 by 4, which is 32. Hope this helps! :)

Answer:

The answer is 32 and the next one is C, 24x+32.

Step-by-step explanation:

a sample that excludes subjects that are not part of the population being measured.

Answer:

The first one

Horizontal axis: Number of computers (in millions):

Vertical axis: Advertising Dollars (in millions):

Step-by-step explanation:

Since we have given that

Number of computers expected to sell = 40  millions

Cost price of internet advertising = $5 million

According to the graph, we can see that

40 millions is the y-coordinate and $5 million is the x-coordinate.

so, Horizontal axis - y- axis is the "Number of computers".

Vertical axis - x- axis is the "Advertising cost "

The set of units and scales are appropriate for the two axes

Horizontal axis: Number of computers (in millions):

Vertical axis: Advertising Dollars (in millions):

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.

Given:

Number of computers expected to sell = 40  millions

Cost price of internet advertising = $5 million

From to the graph, we can see that

40 millions is the y-coordinate and $5 million is the x-coordinate.

So, Horizontal axis - y- axis shows the "Number of computers".

and, Vertical axis - x- axis shows the "Advertising cost ".

Learn more about Graph here:

https://brainly.com/question/17267403

#SPJ2

Answer:

A and E are correct

Step-by-step explanation:

lines DE and FG are congruent and so is angle DQE and GQF

Answer:

220

Step-by-step explanation:

Number of people in theater = x

25% * x = 55

x = 55 / 25% = 55 / 25 * 100 = 55 * 4 = 220

Answer:

Step-by-step explanation:

The first step is to distribute the 2m and 3 to ([tex]m^2-2m+2[/tex]), like so:

[tex](2m+3)(m^2-2m+2)[/tex]

[tex]2m^3-4m^2+4m+3m^2-6m+6[/tex]

Then, add like terms:

[tex]2m^3 -m^2 -2m + 6[/tex]

Answer:

Yes

Step-by-step explanation:

If F(x)= log base 5 of x, then yes, it is increasing.

Answer: True

Step-by-step explanation: Got it correct on a-p-e-x

Since the line is parallel to x = 8, the slope doesn't change.

In this case, the slope is undefined so nothing changes.

All we need to do is find the x-coordinate in (-3, -2). The x-coordinate is -3.

So, the equation will be x = -3

Best of Luck!

Answer:

y=x

Step-by-step explanation:

The equation of the line is line DB

From y=mx + c

From the graph y = 0 when x =0

This means y=x;

The graph cuts through the origin.

Meaning the y -intercept C=0

Answer:

(y-b) /x = m

Step-by-step explanation:

y = mx+b

Subtract b from each side

y -b = mx+b-b

y-b = mx

Divide each side by x

(y-b) /x = mx/x

(y-b) /x = m