All categories

3 years ago

Could you help me pleas

Mathematics

2 answers:

tia_tia [17]3 years ago

8 0

21 for 3 and 10 for 70

Aleksandr-060686 [28]3 years ago

3 0

First gap is 21
Second gap is 10

You know that 28 strawberries make 4 smoothies, so you also know that 7 strawberries makes 1, you find this out by dividing 28 by 4.

You then need to do 7 x 3 which is 21, and 70 / 7 which is 10.

Hope this helps x

You might be interested in

What is equivalent to 6 exponent 8

charle [14.2K]

6^8 = 1679616 that is the answer sir

7 0

3 years ago

What is 3.375 into a fraction?

lapo4ka [179]

Use your knowledge of place value to write your fraction

3 and 375/1000

now reduce. Both are divisible by 25.

3 15/40

oops, not done yet... we can still divide by 5

3 3/8

Done!

3 0

4 years ago

The Lamaster family is a family of five people. They have used 4,885.78 gallons of water so far this month. They cannot exceed 7

oksian1 [2.3K]

Let X be the amount of water one person can use.

Multiply that by 5 people to get 5X

That amount plus what they already used ( 4885.78) needs to be less than or equal to the amount they are limited to ( 7250.50 ).

Now write out the equation to get : 5x + 4885.78 ≤ 7250.50

8 0

3 years ago

The amount of coffee that a filling machine puts into an 8 dash ounce 8-ounce jar is normally distributed with a mean of 8.2 oun

Inessa [10]

Answer:

73.3% probability that the sampling error made in estimating the mean amount of coffee for all 8 dash ounce 8-ounce jars by the mean of a random sample of 100 jars, will be at most 0.02 ounce

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theore.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

$\mu = 8.2, \sigma = 0.18, n = 100, s = \frac{0.18}{\sqrt{100}} = 0.018$

What is the probability that the sampling error made in estimating the mean amount of coffee for all 8 dash ounce 8-ounce jars by the mean of a random sample of 100 jars, will be at most 0.02 ounce

That is, probability of the sample mean between 8.2-0.02 = 8.18 and 8.2 + 0.02 = 8.22, which is the pvalue of Z when X = 8.22 subtracted by the pvalue of Z when X = 8.18.

X = 8.22

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{8.22 - 8.2}{0.018}$

$Z = 1.11$

$Z = 1.11$ has a pvalue of 0.8665.

X = 8.18

$Z = \frac{X - \mu}{s}$

$Z = \frac{8.18 - 8.2}{0.018}$

$Z = -1.11$

$Z = -1.11$ has a pvalue of 0.1335.

0.8665 - 0.1335 = 0.7330

73.3% probability that the sampling error made in estimating the mean amount of coffee for all 8 dash ounce 8-ounce jars by the mean of a random sample of 100 jars, will be at most 0.02 ounce

6 0

3 years ago

Name a dance step and name TWO muscles used during the dance step:

TiliK225 [7]

I don’t know if this would be considered a dance step but an aerial uses your quad because you have to push off your front leg and your hamstring because you have to drive your back leg

6 0

3 years ago