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Blizzard [7]
3 years ago
7

A cake recipe requires 4 and one-half cups of flour to make 1 cake. How many cakes can be made by a baker who has 16 cups of flo

ur?
A. 3
B. 4
C. 40
D. 72
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
3 0

Answer:

3 cakes

Step-by-step explanation:

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The sum of two numbers is 17 and the sum of their square is 145. find the larger number.
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The larger number is 9.
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3 years ago
Many smartphones, especially those of the LTE-enabled persuasion, have earned a bad rap for exceptionally bad battery life. Batt
BartSMP [9]

Answer:

Null hypothesis: the variance in hours of usage for talking is not greater than the the variance in hours of usage for internet.

H_o: \sigma _1 ^2 \leq \sigma _2^2

Alternative hypothesis: the variance  in hours of usage for talking is  greater than the the variance in hours of usage for internet.

H_a : \sigma_1^2 > \sigma_2^2

\mathbf{s_ 1 =16.11}

\mathbf{s_2 = 7.98}

Step-by-step explanation:

Let x_1 and x_2 be the two variables that represents the battery life in hours for talking usage and battery life in hours for internet usage respectively.

The hypothesis can be formulated as:

Null hypothesis: the variance in hours of usage for talking is not greater than the the variance in hours of usage for internet.

H_o: \sigma _1 ^2 \leq \sigma _2^2

Alternative hypothesis: the variance  in hours of usage for talking is  greater than the the variance in hours of usage for internet.

H_a : \sigma_1^2 > \sigma_2^2

The standard deviation for the battery usage for talking is :

\bar x_1 = \dfrac{1}{n_1} \sum x_i  \\ \\ \bar x_1  = \dfrac{1}{12}(35.8 +22.4+...+35.5) \\ \\ \bar x_1 = \dfrac{241.2}{12}  \\ \\ \bar x_1 =20.1

The standard deviation Is:

s_ 1 = \sqrt{\dfrac{1}{n_1-1}\sum (x{_1i}-\bar x_i)^2}

s_ 1 = \sqrt{\dfrac{1}{12-1}\sum (35.8- 20.1)^2+ (35.5-20.1)^2}

s_ 1 = \sqrt{259.568}

\mathbf{s_ 1 =16.11}

The standard deviation for the battery life usage for the internet is :

\bar x_2 = \dfrac{1}{n_2} \sum x_{2i}

\bar x_2 = \dfrac{1}{10} (24.0+12.5+36.4+...+4.7})

\bar x_2 = \dfrac{115}{10}

\bar x_2 = 11.5

Thus; the standard deviation is:

s_2 = \sqrt{\dfrac{1}{n_2-1}(x_{2i}- \bar x_2)^2}

s_2 = \sqrt{\dfrac{1}{10-1}(24-11.5)^2+(4.7-11.5)^2}

s_2 = \sqrt{63.60}

\mathbf{s_2 = 7.98}

4 0
3 years ago
Which equation has the solutions x equals 1 plus or minus the square root of 5​
CaHeK987 [17]

Answer:

d. x2 – 2x – 4 = 0

Step-by-step explanation:

6 0
3 years ago
On a 120-question test, a student got 96 correct answers. What percent of the
madreJ [45]

Answer:

80%

Step-by-step explanation:

Percentages are usually found by taking the value that you want to find and dividing it by the whole amount (100% of the total value available). In this case, getting 100% on the test would mean getting 120/120, because 120 points is 100% of the points available. However, the student only got 96 points out of the whole 120 points, so to find the percentage, you do 96/120 to find what part of 96 comes out of 120. Then to convert to percentage, multiply that value by 100 to get your finale value.

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3 years ago
What is the measure of the central angle of a sector of the sector has a radius of 3cm and an area of 63/8 pi cm^2
Komok [63]

Answer:

Ans=0=315⁰

Step-by-step explanation:

Hope this helps :)

4 0
2 years ago
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