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3 years ago

How to put 33 into 4:7

Mathematics

1 answer:

Tema [17]3 years ago

4 0

4+7 = 11
so
33 / 11 = 3

4 x 3 = 12
7 x 3 = 21

so answer
4:7 = 12:21

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Adrienne operates the milkshake machine at Burgers and Shakes. on Monday she added whipped cream to 210 shakes.This was 70% of t

Natalka [10]

Answer:

Total number of milkshakes sold on Monday = 300

Number of milkshakes without whipped cream = 90

Step-by-step explanation:

Given:

Adrienne adds whipped cream to 210 milk shakes which is 70% of the total milk shakes sold.

To find the total milkshakes sold.

Solution:

Let the total number of milkshakes sold on Monday be = $x$

Percentage of milkshakes with whipped cream added to them = 70%

Number of milk shakes with added whipped cream can be given as:

⇒ $70\% \textrm{ of the total number of milkshakes}$

⇒ $70\% x$

⇒ $\frac{70}{100}x$ [Representing percent in fraction form]

⇒ $0.7x$ [evaluating in decimals]

We know that the number of milkshakes with whipped cream added to them = 210.

So, we have:

$0.7x=210$

Solving for $x$

Dividing both sides by 0.7

$\frac{0.7x}{0.7}=\frac{210}{0.7}$

∴ $x=300$

Thus, total number of milkshakes sold on Monday = 300

Number of milkshakes without whipped cream = $300-210$ = 90

6 0

3 years ago

Which data set has a median of 15?

Neporo4naja [7]

Answer: The last one is the one with the Median

Step-by-step explanation: Hope this helps ^^

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2 years ago

Read 2 more answers

The USA Today reports that the average expenditure on Valentine's Day is $100.89. Do male and female consumers differ in the amo

Aloiza [94]

Answer:

$a)\ \ \bar x_m-\bar x_f=67.03\\\\b)\ \ E=15.7416\\\\c)\ \ CI=[51.2884, \ 82.7716]$

Step-by-step explanation:

a. -Given that:

$n_m=41\ , \ \sigma_m=33, \bar x_m=135.67\\\\n_f=37. \ \ ,\sigma_f=20, \ \ \bar x_f=68.64$

#The point estimator of the difference between the population mean expenditure for males and the population mean expenditure for females is calculated as:

$\bar x_m-\bar x_f\\\\\therefore \bigtriangleup\bar x=135.67-68.64\\\\=67.03$

Hence, the pointer is estimator 67.03

b. The standard error of the point estimator, $\bar x_m-\bar x_f$ is calculated by the following following:

$\sigma_{\bar x_m-\bar x_f}=\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}$

-And the margin of error, E at a 99% confidence can be calculated as:

$E=z_{\alpha/2}\times \sigma_{\bar x_m-\bar x_f}\\\\\\=z_{0.005}\times\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}\\\\\\=2.575\times \sqrt{\frac{33^2}{41}+\frac{20^2}{37}}\\\\\\=15.7416$

Hence, the margin of error is 15.7416

c. The estimator confidence interval is calculated using the following formula:

$\bar x_m-\bar x_f\ \pm z_{\alpha/2}\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}$

#We substitute to solve for the confidence interval using the standard deviation and sample size values in a above:

$CI=\bar x_m-\bar x_f\ \pm z_{\alpha/2}\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}\\\\=(135.67-68.64)\pm 15.7416\\\\=67.03\pm 15.7416\\\\=[51.2884, \ 82.7716]$