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3 years ago

What do the interior angles of a parallelogram equal?

1 answer:

5 0

A parallelogram has 4 sides.

The formula to calculate the sum of interior angles of a polygon is 180 * (n-2) where n is the number of sides.

So, a parallelogram has 180 * (4-2) = 360 degrees of interior angles.

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rafeal rides his bike down a hill. for each kilometer that he rides, his altitude changes by -10m. What is rafael's altitude rel

mrs_skeptik [129]

The answer is -60.

Why is this so??

The information we have here is that Rafeal rode his bike downhill by 6 kilometers.

Every kilometer he rides his bike, the altitude declines by 10m (meters)

let m represent how many meters the altitude declined.

If there is a positive number (ex. 2) multiplied by a negative number (-2), The result will be negative (-4) and vice-versa.

Same goes with division. positive number (4) divided by negative number (-2), the result will be a negative quotient.

Therefore, the answer would be -60m, or -60 meters.

7 0

2 years ago

Victoria is interested in opening her own candy store. She has researched and found that of the 14 stores she investigated, the

Anna71 [15]

Answer:

99% confidence interval for the average start up cost is [76.575 , 123.425].

Step-by-step explanation:

We are given that of the 14 stores Victoria investigated, the average start up cost is 100 thousand dollars with a standard deviation of 29.1 thousand dollars.

So, the pivotal quantity for 99% confidence interval for the population average start up cost is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average start up cost = 100 thousand dollars

$\sigma$ = sample standard deviation = 29.1 thousand dollars

n = sample of stores = 14

$\mu$ = population average start up cost

So, 99% confidence interval for the average start up cost, $\mu$ is ;

P(-3.012 < $t_1_3$ < 3.012) = 0.99

P(-3.012 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 3.012) = 0.99

P( $-3.012 \times {\frac{s}{\sqrt{n} }$ < ${\bar X - \mu}$ < $3.012 \times {\frac{s}{\sqrt{n} }$ ) = 0.99

P( $\bar X-3.012 \times {\frac{s}{\sqrt{n} }$ < $\mu$ < $\bar X +3.012 \times {\frac{s}{\sqrt{n} }$ ) = 0.99

99% confidence interval for $\mu$ = [ $\bar X-3.012 \times {\frac{s}{\sqrt{n} }$ , $\bar X +3.012 \times {\frac{s}{\sqrt{n} }$ ]

= [ $100-3.012 \times {\frac{29.1}{\sqrt{14} }$ , $100+3.012 \times {\frac{29.1}{\sqrt{14} }$ ]

= [76.575 , 123.425]

Therefore, 99% confidence interval for the population average start up cost for a candy store is [76.575 , 123.425].

8 0

3 years ago

Mrs. Mashell is opening a college savings account for her daughter Janese. She deposited $4,000 into the account at a simple int

Elden [556K]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Who is Lori Vallow?

KIM [24]

Lori Vallow is she was arrested for criminal solicitation from committing a crime. Her bond is set at 5 million dollars.

5 0

3 years ago

One leg of a right triangle is 1 cm less than the hypotenuse, and the other leg is 8 cm less than the hypotenuse. What is the le

stellarik [79]

Answer:

the hypothesis is 5or 13

Step-by-step explanation:

let the hypotenuse be y so the first side will be y-1 and the other side will be y-8 repectively and using the pythagoras theorem you solved for the hypotenenuse

5 0

4 years ago