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3 years ago

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Suzy made cupcakes for her friends. She started at 2:40 p.M. The list below shows the number of minutes it took to complete each

step of the process. 9 minutes to mix the batter 18 minutes to bake the cupcakes 5 minutes to let them cool 10 minutes to frost the cupcakes What time did Suzy finish frosting the cupcake

2 answers:

nevsk [136]3 years ago

7 0

Answer:

15:23

Step-by-step explanation:

I think this is right but if u add all the minutes together and add the answer to that to the time

Len [333]3 years ago

3 0

Answer: Suzy finish frosting the cupcake at 3:22 P.M.

Step-by-step explanation:

She started at 2:40 p.M. it took her 9 minutes to mix the batter. After mixing the batter, the time would be

2:40 + 0:09 = 2:49 P.M.

It took her 18 minutes to bake the cupcakes. After baking the cupcakes, the time would be

2:49 + 0:18 = 3:07 PM.

It took 5 minutes to let them cool. After cooling them, the time would be

3:07 + 5 = 3:12 PM.

It took her 10 minutes to frost the cupcakes. Therefore, after frosting the cupcakes, the time would be

3:12 + 0:10 = 3:22 P.M.

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A researcher collected data on the hours of TV watched per day from a sample of five people of different ages. Here are the resu

frozen [14]

Answer:

1. The least squares regression is y = -0.1015·x + 6.51

2. The independent variable is b) age

Please see attached table

Step-by-step explanation:

The least squares regression formula is given as follows;

$\dfrac{\sum_{i = 1}^{n}(x_{i} - \bar{x})\times \left (y_{i} - \bar{y} \right ) }{\sum_{i = 1}^{n}(x_{i} - \bar{x})^{2}}$

We have;

$\bar x$ = 24

$\bar y$ = 4

$\Sigma (x_i - \bar x) (y_i - \bar y)$ = -79

$\Sigma (x_i - \bar x)^2$ = 778

$\therefore \hat \beta =\dfrac{\sum_{i = 1}^{n}(x_{i} - \bar{x})\times \left (y_{i} - \bar{y} \right ) }{\sum_{i = 1}^{n}(x_{i} - \bar{x})^{2}} = \frac{-79}{778} = -0.1015$

The least squares regression is y = -0.1015·x + α

∴ α = y -0.1015·x = 6 - (-0.1015 × 5) = 6.51

The least squares regression is thus;

y = -0.1015·x + 6.51

2. The independent variable is the age b)

3. Steps to create an ANOVA table with α = 0.05

The overall mean = (43 + 30 + 22 + 20 + 5 + 1 + 6 + 4 + 3 + 6 )/10 = 14

There are 2 different treatment = $df_{treat} = 2 - 1 = 1$

There are 10 different treatment measurement = $df_{tot} = 10 - 1 = 9$

$df_{res} = 9 - 1 = 8$

$df_{treat} + df_{res} = df_{tot}$

The estimated effects are;

$\hat A_1 = 24 - 14 = 10$

$\hat A_2 = 4 - 14 = -10$

$SS_{treat} = 10^2 \times 5 + (-10)^2 \times 5 =1000$

$\sum_{i}\SS_{row}_i = \sum_{i}\sum_{j} (y_{ij} - \bar y)= [(1 - 4)^2 + (6 - 4)^2 + (4 - 4)^2 + (3 - 4)^2 + (6 - 4)^2] = 18$

$\sum_{i} S S_{row}_i = \sum_{i}\sum_{j} (y_{ij} - \bar y) ^2= [(43 - 24)^2 + (30 - 24)^2 + (22 - 24)^2 + (20 - 24)^2 + (5 - 24)^2] = 778$

$S S_{res} = \sum_{i} S S_{row}_i = 778 + 18 = 796$

$SS_{tot}$ = (43 - 14)² + (30 - 14)² + (22 - 14)² + (20 - 14)² + (5 - 14)² + (1 - 14)1² + (6 - 4 )² + (3 - 14)² + (6 - 14)² = 1796

$MS_{treat} = \dfrac{SS_{treat} }{df_{treat} } = \dfrac{1000}{1} = 1000$

$MS_{res} = \dfrac{SS_{res} }{df_{res} } = \dfrac{796}{8} = 99.5$

F- value is given by the relation;

$F = \dfrac{MS_{treat} }{MS_{res} } = \frac{1000}{99.5} = 10.05$

We then look for the critical values at degrees of freedom 1 and 8 at α = 0.05 on the F-distribution tables 5.3177

Hence; $F = 10.05 > F_{1,8}^{Krit}(5\%) = 5.3177$ , we reject the null hypothesis.

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3 years ago

Line AB has an equation of a line y = 5x − 2. Which of the following could be an equation for a line that is parallel to line AB

SpyIntel [72]

Determine the slope of line AB
m = 5

Determine the slope of the lines from the options
First option: y = 5x + 3, the slope is 5
Second option: y = (1/5)x + 3, the slope is 1/5
Third option: y = -5x + 3, the slope is -5
Fourth option: y = (-1/5)x + 3, the slope is -1/5

Parallel lines are similar in the slope. So the line which is parallel to line AB must have the slope of 5.

The answer is first option.

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3 years ago

5/3t−2/3(t+4)=1 What is the value of t? Enter the answer in the box.

allochka39001 [22]

T= 11 over 13 aka 11/13

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3 years ago

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Answer:

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Step-by-step explanation:

A polygon is a shape, I don't think there are conversions since a polygon is not something you can measure. A population can be counted with normal numbers, 1,2,3... density is calculated with mass and volume, not radians and degrees.... yeah.

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2 years ago

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21 is what percent of 40?

elena-s [515]

1. We assume, that the number 40 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 40, so we can write it down as 100%=40.

4. We know, that x% equals 21 of the output value, so we can write it down as x%=21.

5. Now we have two simple equations:

1) 100%=40

2) x%=21

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=40/21

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21 is what percent of 40

100%/x%=40/21

(100/x)*x=(40/21)*x - we multiply both sides of the equation by x

100=1.90476190476*x - we divide both sides of the equation by (1.90476190476) to get x

100/1.90476190476=x

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21 is 52.5% of 40

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3 years ago

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