How many 1/4 cup servings are in 5 cups of yogurt?

Mathematics

1 answer:

Jlenok [28]3 years ago

6 0

Answer: 20 servings

Step-by-step explanation:

1 divided by 4 is 4, 4 times 5 is 20

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One set of markers cost x dollars. How much would set of makers and crayons cost together

inysia [295]

Answer:

x+y

Step-by-step explanation:

Let's pretend the value of the crayon's is 'y'. The value of the markers is 'x'. If we add them together, we get x+y. This is because we do not know the value of each variable.

Hope this helps! Have a nice day <3

3 0

2 years ago

In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th

marysya [2.9K]

Answer:

The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).

Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

$\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}$

Where:

$\hat{p}$ is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

$z_{\alpha /2}$ is the critical value needed to find the tails of distribution related to the confidence level,

$n$ is the sample's size.

<u>First</u> we compute the $\hat{p}$ value:

$\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625$

<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):

$z_{\alpha /2}=2.576$

Now we can replace in the formula with the obtained values to compute the confidence interval:

$\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)$