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3 years ago

55 balloon gave away every day for 30 days and still have 245 how many did I started with

1 answer:

3 0

To solve for this, we need to multiply 55 balloons by 30 days to get the average total, and then the remainder.
(55 x 30) + 245 = 1895 total balloons to begin with.

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A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. Following are the amounts measured in a

dlinn [17]

Answer:

The mean volume is 12 ounces.

Step-by-step explanation:

In this case we need to test whether the mean volume the machine fills the beverage cans with is 12 ounces or not.

The hypothesis for this test can be defined as:

H₀: The mean volume is 12 ounces. i.e. μ = 12 ounces.

Hₐ: The mean volume is not 12 ounces. i.e. μ ≠ 12 ounces.

As the population standard deviation is not known, we will use a t-test for single mean.

The sample mean and sample standard deviation is:

$\bar x=\frac{1}{n}\sum X\\=\frac{1}{8}\times [11.98+12.08+11.87+11.95+11.89+12.01+11.97+12.10]\\=11.98$

$\text{s} = \sqrt{\dfrac{\sum_{i=1}^{n}(x_i - \overline{x})^{2}}{n - 1}}\\=\sqrt{\dfrac{\sum_{i=1}^{n}(11.98 - 11.98)^{2}}{8 - 1}}+\sqrt{\dfrac{\sum_{i=1}^{n}(12.08- 11.98)^{2}}{8 - 1}}+...+\sqrt{\dfrac{\sum_{i=1}^{n}(12.10- 11.98)^{2}}{8 - 1}}\\=0.0815$ Compute the test statistic as follows:

$t=\frac{\bar x-\mu}{\s/\sqrt{n}}=\frac{11.98-12}{0.0815/\sqrt{8}}=-0.69$

The test statistic value is -0.69.

Decision rule:

If the p-value of the test is less than the significance level, then the null hypothesis will be rejected.

Compute the p-value of the test as follows:

$p-value=2P(t_{7}$

*Use a t-table.

The significance level of the test is, α = 0.05.

p-value = 0.512 > α = 0.05

The null hypothesis was failed to be rejected.

Hence, it can be concluded that the mean volume is 12 ounces.

5 0

3 years ago

How do you write 0.8 recurring as a fraction? please can i have an explanation aswell :)

monitta

Answer:

$\frac{8}{9}$

Step-by-step explanation:

we require 2 equations with the repeating digits placed after the decimal point.

let x = 0.888.. (1) ← multiply both sides by 10

10x = 8.888.. (2)

subtract (1) from (2) thus eliminating the repeating digits

9x = 8 ( divide both sides by 9 )

x = $\frac{8}{9}$

7 0

1 year ago

Find the slope on the line

Alla [95]

Answer:

-1

Step-by-step explanation:

Use Rise/Run and since the line is negative the slope will be negative

8 0

2 years ago

For Cooper's lemonade recipe, 6 lemons are required to make 3 cups of lemonade. At

AnnZ [28]

Answer:

2 lemons per cup

Step-by-step explanation

If you have 6 lemons and you can make 3 cups you will need to divide

6/3 which is 2

so your answer is 2 lemons per cup

7 0

3 years ago

How Many Squares does the Below given picture. Thanks.

zalisa [80]

Answer:

Step-by-step explanation:

6 0

3 years ago