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konstantin123 [22]
2 years ago
7

In the diagram, the measure of 1 is 55°. If line y is rotated 5° clockwise about the point of

Mathematics
2 answers:
REY [17]2 years ago
5 0
A. 60 degrees is the answer
Radda [10]2 years ago
5 0

Answer: it’s 60 degrees

Step-by-step explanation:

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Cantidad de cajas cantudad de lapises​
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no lo sé

Step-by-step explanation:

Number of boxes number of pencils?

4 0
3 years ago
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Write the difference as a mixed number.<br>3- 1 1/3<br><br>​
BigorU [14]

Answer:

11/3 as a mixed number would be 3 2/3

Step-by-step explanation:

6 0
3 years ago
Find the area of the rectangle
castortr0y [4]

Step-by-step explanation:

Length (L) = 2 cm

Breadth (b) = 2 / 3 cm

Area of the rectangle

= L * b

= 2 * 2/3

= 4/3 cm²

Hope it will help :)❤

6 0
3 years ago
The most popular items at a bakery are its raspberry scones and its lemon poppy
Umnica [9.8K]

The system of equations x+y=46 and 15x+9y=396 could be used to find the number of boxes of each item sold.

Step-by-step explanation:

Given,

Cost of one box of raspberry scones = $15.00

Cost of one box of lemon poppy seed muffins = $9.00

Total boxes sold = 46

Total revenue earned = $396

Let,

x be the number of raspberry scones sold.

y be the number of lemon poppy seed muffins sold.

According to given statement;

x+y=46    Eqn 1

15x+9y=396    Eqn 2

The system of equations x+y=46 and 15x+9y=396 could be used to find the number of boxes of each item sold.

8 0
3 years ago
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia
Arturiano [62]

Answer:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (3)

n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791

So the answer for this case would be n=791 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that z_{\alpha/2}=2.58

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (2)

And on this case we have that ME =+5 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (3)

n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791

So the answer for this case would be n=791 rounded up to the nearest integer

4 0
3 years ago
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