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Alchen [17]
3 years ago
10

Write an equation that represents the line. Use exact numbers.

Mathematics
1 answer:
mariarad [96]3 years ago
5 0

Answer:

y = .75x - 4.5

Step-by-step explanation:

y = mx + b

m = slope ; b = y-int

slope = rise/ run = 3/4 = .75

y = .75x + b

Because it is hard to determine the exact y-intercept, we plug in a point (2,-3):

-3 = .75(2) + b

-3 = 1.5 + b

-4.5 = b -->

y = .75x - 4.5

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The temperature, in degrees fahrenheit (°
vova2212 [387]
The temperature decreased by 5 degrees per hour, as -25 / 5 is -5.
5 0
2 years ago
Find the value of x to the nearest tenth!
sergij07 [2.7K]

Answer:

5.7

Step-by-step explanation:

sine cosine tangent

soh cah toa

sine = opposite/hypotenuse

so sin(35)= x/10

you can multiply 10 to both sides to get rid of the 10 denominator on the right leaving you with 10sin(35)=x

be sure your calculator is in degrees.

put that into a calculator leaving you with 5.7

5 0
3 years ago
Imagine an experiment having three conditions and 20 subjects within each condition. The mean and variances of each condition ar
xxTIMURxx [149]

Answer:

1. Mean square B= 5.32

2. Mean square E= 16.067

3. F= 0.33

4. p-value: 0.28

Step-by-step explanation:

Hello!

You have the information of 3 groups of people.

Group 1

n₁= 20

X[bar]₁= 3.2

S₁²= 14.3

Group 2

n₂= 20

X[bar]₂= 4.2

S₂²= 17.2

Group 3

n₃= 20

X[bar]₃= 7.6

S₃²= 16.7

1. To manually calculate the mean square between the groups you have to calculate the sum of square between conditions and divide it by the degrees of freedom.

Df B= k-1 = 3-1= 2

Sum Square B is:

∑ni(Ÿi - Ÿ..)²

Ÿi= sample mean of sample i ∀ i= 1,2,3

Ÿ..= general mean is the mean that results of all the groups together.

General mean:

Ÿ..= (Ÿ₁ + Ÿ₂ + Ÿ₃)/ 3 = (3.2+4.2+7.6)/3 = 5

Sum Square B (Ÿ₁ - Ÿ..)² + (Ÿ₂ - Ÿ..)² + (Ÿ₃ - Ÿ..)²= (3.2 - 5)² + (4.2 - 5)² + (7.6 - 5)²= 10.64

Mean square B= Sum Square B/Df B= 10.64/2= 5.32

2. The mean square error (MSE) is the estimation of the variance error (σ_{e}^2 → S_{e} ^{2}), you have to use the following formula:

Se²=<u> (n₁-1)S₁² + -(n₂-1)S₂² + (n₃-1)S₃²</u>

                        n₁+n₂+n₃-k

Se²=<u> 19*14.3 + 19*17.2 + 19*16.7 </u>= <u>  915.8   </u>  = 16.067

                 20+20+20-3                  57

DfE= N-k = 60-3= 57

3. To calculate the value of the statistic you have to divide the MSB by MSE

F= \frac{Mean square B}{Mean square E} = \frac{5.32}{16.067} = 0.33

4. P(F_{2; 57} ≤ F) = P(F_{2; 57} ≤ 0.33) = 0.28

I hope you have a SUPER day!

3 0
3 years ago
I MEEED HELPPP PLEASEEEEEE HELPPPPP PLEASE SOMEONE IM BEGGING UUUUU
Stels [109]

Answer:

x= 10°

Step-by-step explanation:

BWN = BRN (W=R)

56+ (5x-16) +90 =180 {triangle BNW} [angles in a triangle add up to 180] ( properties of a kite)

5x = 180 - (56 + 90 - 16)

5x = 180 - 130

5x = 50

x =50/5

x = 10°

7 0
2 years ago
Find the unit rate. Enter your answer as a mixed number. A fertilizer covers 58 square foot in 12 hour ___ The unit rate is squa
Olegator [25]

Answer:

4 5/6

Step-by-step explanation:

The fraction you have is 58 square feet /12 hour how many times does 12 go into 58 it goes into 58 evenly 4 times 4*12=48

58/12 - 48/12 = 10/12 which can be reduced to 5/6 because 2 goes into 10 and 12 evenly

4 0
3 years ago
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