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Sliva [168]
2 years ago
10

Coldstone Creamery has a variety of different ice-cream flavors that they offer, and they have a variety of different serving si

zes as well. An employee at Coldstone wanted to see if there was a relationship between a customers favorite flavor (vanilla, chocolate, or strawberry) and what serving size they ordered (small, medium, or large). He surveyed 100 customers and recorded both their favorite flavor and their preferred serving size. What are the appropriate null and alternative hypotheses?
Mathematics
1 answer:
Jobisdone [24]2 years ago
5 0

Answer:

H0 : flavor and serving size are independent

H1: Flavor and serving size are not independent

Step-by-step explanation:

The claim or hypothesis is to test if there is a relationship between the different types of flavor (vanilla, strawberry and chocolate) and the size (large, medium and. Small) being ordered. This is the the Alternative hypothesis, in other words to establish that flavor type and size are not independent, (that is the two variables are correlated).

The Null hypothesis will be the opposite of the alternative, establish that both variables are independent.

Hence ;

Null hypothesis ; H0 : flavor and serving size are independent

Alternative ; H1: Flavor and serving size are not independent

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(8y²)(-3x²y²)(2/3xy⁴)<br><br> HELP PLEASEEEEEEEE
IRINA_888 [86]

Step-by-step explanation:

1 Remove parentheses.

8{y}^{2}\times -3{x}^{2}{y}^{2}\times \frac{2}{3}x{y}^{4}

8y

2

×−3x

2

y

2

×

3

2

xy

4

2 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

b

a

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=

bd

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.

\frac{8{y}^{2}\times -3{x}^{2}{y}^{2}\times 2x{y}^{4}}{3}

3

8y

2

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2

y

2

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3 Take out the constants.

\frac{(8\times -3\times 2){y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

(8×−3×2)y

2

y

2

y

4

x

2

x

4 Simplify 8\times -38×−3 to -24−24.

\frac{(-24\times 2){y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

(−24×2)y

2

y

2

y

4

x

2

x

5 Simplify -24\times 2−24×2 to -48−48.

\frac{-48{y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

−48y

2

y

2

y

4

x

2

x

6 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

a

x

b

=x

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\frac{-48{y}^{2+2+4}{x}^{2+1}}{3}

3

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7 Simplify 2+22+2 to 44.

\frac{-48{y}^{4+4}{x}^{2+1}}{3}

3

−48y

4+4

x

2+1

8 Simplify 4+44+4 to 88.

\frac{-48{y}^{8}{x}^{2+1}}{3}

3

−48y

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x

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9 Simplify 2+12+1 to 33.

\frac{-48{y}^{8}{x}^{3}}{3}

3

−48y

8

x

3

10 Move the negative sign to the left.

-\frac{48{y}^{8}{x}^{3}}{3}

−

3

48y

8

x

3

11 Simplify \frac{48{y}^{8}{x}^{3}}{3}

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8

x

3

to 16{y}^{8}{x}^{3}16y

8

x

3

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-16{y}^{8}{x}^{3}

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Done

6 0
2 years ago
Write the next three terms of the following sequence:
Keith_Richards [23]

Answer:

21... 27.... 38...

Step-by-step explanation:

Add prime numbers to the number in alternate.

4 + 3 = 7

5 + 5 = 10

7 + 7 = 14

10 + 11 = 21

14 + 13 = 27

21 + 17 = 38

7 0
3 years ago
PLEASE help me! I need this by Today!! anyone
geniusboy [140]

Answer:

x=12

Step-by-step explanation:

Cross multiply them:

84 = 7x

Divide By 7 on both sides

12 = x

And there is the answer. Sorry I couldn't explain better Im really not feeling good today

3 0
2 years ago
Read 2 more answers
Here are the prices, rounded to the nearest dollar, of the most frequently purchased gifts in a gift store.
Mariulka [41]
An outlier is a datapoint outside of the first or third quartile +/- 1.5 the inter quartile range

25 33 39 40 41 41 45 46 48 49 51 52 67 73 79

46 is at the center-> median
everything left of it:
25 33 39 40 41 41 45
40 at center=Q1
right of Q2:
48 49 51 52 67 73 79
52 at center=Q3

IQR=Q3-Q1=52-40=12

Q1-1.5*IQR=40-1.5*12=40-18=22
Q3+1.5*IQR=52+1.5*12=52+18=60

so everything <22 or >60 are outliers

so 67,73 and 79 are outliers
4 0
3 years ago
400 students went on a field trip. Six buses were filled and 34 students traveled in cars. How many students were in each bus? H
polet [3.4K]

Answer:

61

Step-by-step explanation:

first subtract the 34 students that went with a car then divide 366 ÷ 6=61

400-34=366

366÷ 6=61

Hope this helps :)

7 0
3 years ago
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