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Sliva [168]
3 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]3 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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Find the solutions for a triangle with a = 16, c =12, and B = 63º.
maks197457 [2]

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}

b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}

b \approx 15.022

Angle A (Law of Cosine)

\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}

\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}

\cos A = 0.315

A= \cos^{-1} 0.315

A \approx 71.639^{\circ}

Angle C (Sum of internal angles in triangles)

C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}

C = 45.361^{\circ}

Hence, the right answer is B.

6 0
3 years ago
A concert ticket that originally cost$46.50 is on sale for $ 38.75. What is the percent of decrease ,rounded to the nearest tent
docker41 [41]
The answer would be%16.5
6 0
3 years ago
Find the midpoint of JK if J(-7. -5) and K(-3,7).
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Answer:

( − 5 , 1 )

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

7 0
4 years ago
There are three apple orchards. Each orchard has a different number of trees and apples.
Assoli18 [71]

Answer:

A. The #1 Seed

Step-by-step explanation

To find the answer you find the rate of one apple tree to # of apples. you do this by dividing the # of apples from the orchard by the apple trees and whichever has the highest rate of Apples to Trees is the answer which would be The #1 Seed.

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3 years ago
Which graph represents the function<br> f(x) = (x + 4)(x + 1)(x - 3)<br> ?
attashe74 [19]

Answer:

Step-by-step explanation:

The graph that represents the function

f(x) = (x + 4)(x + 1)(x - 3)

crosses the x-axis three times: at x = -4, x = -1, and x = 3

because we apply the zero product rule and found the roots -4, -1, and 3

x+ 4= 0 → x = -4

x+1 = 0 → x = -1

x-3 = 0 → x = 3

8 0
2 years ago
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