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3 years ago

Susie has 8/9 cup of ice cream. How many 1/4 cup servings can she make?

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

5 0

Answer:

8 cups of ice cream

Step-by-step explanation:

1/4×8=8 cups

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Y = 6x − 4

Kamila [148]

Answer:

Part B: $\displaystyle [1, 2]$

Part A: Set both equation equal to each other by Substitution, since our y-values are already given to us.

Step-by-step explanation:

6x - 4 = 5x - 3

- 6x + 3 - 6x + 3

____________

$\displaystyle -1 = -x; 1 = x$

Plug this coordinate back into the above equations to get the y-coordinate of 2.

y = mx + b [where b is the y-intercept and the rate of change (slope) is represented by m]

$\displaystyle y = 5x - 3; [0, -3]; 5 = m \\ y = 6x - 4; [0, -4]; 6 = m$

I am joyous to assist you at any time.

3 0

3 years ago

5. The superintendent of the local school district claims that the children in her district are brighter, on average, than the g

anygoal [31]

Answer:

We conclude that children in district are brighter, on average, than the general population.

Step-by-step explanation:

We are given the following data set:

105, 109, 115, 112, 124, 115, 103, 110, 125, 99

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1117}{10} = 111.7$

Sum of squares of differences = 642.1

$S.D = \sqrt{\frac{642.1}{49}} = 8.44$

We are given the following in the question:

Population mean, μ = 106

Sample mean, $\bar{x}$ = 111.7

Sample size, n = 10

Alpha, α = 0.05

Sample standard deviation, s = 8.44

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 106\\H_A: \mu > 106$

We use one-tailed(right) t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{111.7 - 106}{\frac{8.44}{\sqrt{10}} } = 2.135$

Now,

$t_{critical} \text{ at 0.05 level of significance, 9 degree of freedom } = 1.833$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

We conclude that children in district are brighter, on average, than the general population.

4 0

3 years ago

The area of a square piece of land is 784metersquared .What is the perimeter

Marta_Voda [28]

Answer:

112 m

Step-by-step explanation:

The area (A) of a square is

A = s² ( s is the length of side )

Here A = 784 , then

s² = 784 ( take the square root of both sides )

s = $\sqrt{784}$ = 28

Then

perimeter = 4s = 4 × 28 = 112 m

7 0

3 years ago

Read 2 more answers

The nature park has a pride of 7 lions and 9 cubs. The adults eat 9 pounds of meat each day and the cubs eat 4 pounds. Simplify

Blizzard [7]

Answer:

the answer to that question is 99

7 0

3 years ago

I need not just the answer but the work written out

Mekhanik [1.2K]

Answer:

A(3) = -6 + (3 - 1) (5)

-6 + (2)(5)

-6 + (10)

A(4) = -6 + (4 - 1) (5)

-6 + (3)(5)

-6 + 15

A(10) = -6 + (10 - 1) (5)

-6 + (9)(5)

-6 + 45

6 0

3 years ago