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Snezhnost [94]
3 years ago
13

Angles of a polygon thanks ♡♡♡♡​

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
7 0

Answer:

900 degrees

Step-by-step explanation:

The sum of the interior angles of a polygon can be found by

(n-2)*180 where n is the number of sides

This figure has 7 sides

(7-2)*180

5*180

900

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Chef Selena is making her special dish that requires pasta, sauce, and onions. She has 5 1/8 pounds of pasta, 6 pounds of sauce,
arlik [135]

Answer:

\text{Total Weight of Food Made}, x=5\frac{1}{8}+6+4\frac{7}{8}\\\text{Number of Servings}, y=x \div \frac{1}{2}

Step-by-step explanation:

The Weight of Ingredients to be used by Chef Selena are:

  • 5\frac{1}{8} pounds of pasta,
  • 6 pounds of sauce; and
  • 4\frac{7}{8} pounds of onions.

Total Weight of Food Made, x

=5\frac{1}{8}+6+4\frac{7}{8}\\=5+6+4+\frac{1}{8}+\frac{7}{8}\\=16 \: Pounds

Since each serving is \frac{1}{2} Pounds

Number of Servings of her dish, y

16 \div \frac{1}{2}\\ =32 \: Servings

The two equations needed to solve the problem are therefore:

\text{Total Weight of Food Made}, x=5\frac{1}{8}+6+4\frac{7}{8}\\\text{Number of Servings}, y=x \div \frac{1}{2}

4 0
3 years ago
In the general population, what is the probability that an individual will have the birth defect, assuming that maternal and pat
vfiekz [6]

Answer:

0.0625

Step-by-step explanation:

The prevalence of gene a = 25 %, P (a) = 0.25

birth defect occurs when both parents have prevalence of gene a.

P (Defect) = P ( Both parents have gene a)

If both parents inherit the gene a independently, the the individual will have a birth defect when both parents have gene a.

P ( Father having gene a) = 0.25

P ( Mother having gene a) = 0.25

Hence,

P (Birth Defect) = P ( Both parents have gene a) = 0.25 * 0.25 = 0.0625

7 0
3 years ago
Write a linear equation for the line with slope = - 1/4 going through the point: (0, 0)
Serjik [45]

The equation of a line is written as y =Mx + b, where m is the slope and b is the y intercept, which is the y value when x = 0.

You are told the slope is -1/4, so replace m with -1/4. You are also given the point (0,0) which means when x is 0, y is also 0, so replace b with 0.

The equation becomes y= -1/4x + 0

Because y is 0 you aren’t adding anything to the equation so you can remove it from the equation.

Answer is y = -1/4x

5 0
3 years ago
Read 2 more answers
The length of a rectangle is shown below:
nasty-shy [4]

Answer:

are you a teacher

Step-by-step explanation:

3 0
3 years ago
According to a 2014 research study of national student engagement in the U.S., the average college student spends 17 hours per w
Nadusha1986 [10]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 17

For the alternative hypothesis,

µ < 17

This is a left tailed test.

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 80,

Degrees of freedom, df = n - 1 = 80 - 1 = 79

t = (x - µ)/(s/√n)

Where

x = sample mean = 15.6

µ = population mean = 17

s = samples standard deviation = 4.5

t = (15.6 - 17)/(4.5/√80) = - 2.78

We would determine the p value using the t test calculator. It becomes

p = 0.0034

Since alpha, 0.05 > than the p value, 0.0043, then we would reject the null hypothesis.

The data supports the professor’s claim. The average number of hours per week spent studying for students at her college is less than 17 hours per week.

4 0
4 years ago
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