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2 years ago

How are these two constants of proportionality related to each other?

Mathematics

1 answer:

aliya0001 [1]2 years ago

6 0

Answer:

The constant of proportionality is the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX.

Step-by-step explanation:

We call the ratio between two directly proportional quantities the constant of proportionality. When two quantities are directly proportional, they increase and decrease at the same rate. While these two quantities may increase or decrease, the constant of proportionality always remains the same.

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An ice cream store sells 28 flavors of ice cream. Determine the number of 4 dip sundaes.

katrin [286]

Answer:

$20,475\ ways$

Step-by-step explanation:

we know that

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

$C(n,r)=\frac{n!}{r!(n-r)!}$

where

n represents the total number of items

r represents the number of items being chosen at a time.

In this problem

$n=28\\r=4$

substitute

$C(28,4)=\frac{28!}{4!(28-4)!}\\\\C(28,4)=\frac{28!}{4!(24)!}$

simplify

$C(28,4)=\frac{(28)(27)(26)(25)(24!)}{4!(24)!}$

$C(28,4)=\frac{(28)(27)(26)(25)}{(4)(3)(2)(1)}$

$C(28,4)=20,475\ ways$

5 0

2 years ago

Which expressions are equivalent to -6 +49 + (-69) ?

kiruha [24]

Answer:

-26

Step-by-step explanation:

-6+49+(-69)

43+(-69)

43-69

-26

3 0

3 years ago

Rewrite 13 over 7 as a mixed number

antoniya [11.8K]

To simplify mixed numbers, Divide 13 and 7. We get 1 R 6. Since the remainder is out of 7, the mixed number would be 1 6/7

Hope this helps!

3 0

2 years ago

Read 2 more answers

The number of books borrowed from a library each week follows a normal distribution. When a sample is taken for several weeks, t

Marat540 [252]

$\mathbb P(X>250)=\mathbb P\left(\dfrac{X-190}{30}>\dfrac{250-190}{30}\right)=\mathbb P(Z>2)\approx0.0228$

Or, if you're familiar with the empirical rule and the basic properties of the normal distribution, you can use the fact that approximately $95/%$ of the distribution lies within two standard deviations of the mean, or

$\mathbb P(|Z|$

which means about $5\%$ of the distribution lies outside this interval, or

$\mathbb P((-22))\approx0.05$

Because the distribution is symmetric, you have

$\mathbb P(-22)$
$\implies \mathbb P((-22))=\mathbb P(-22)=2\mathbb P(Z>2)\approx0.05$
$\implies \mathbb P(Z>2)\approx 0.025$

8 0

3 years ago

Read 2 more answers

Which of the following could not be a value of n? side lengths of 9 and 13

daser333 [38]

The correct answer here would be D. And that is because, in a triangle, the sum of 2 of the sides has to be greater than the third side for all sides. If we add 22 and 13 we get 35, and 35 is greater than 9, for sure. But if we add 13 and 9 we get 22 which is not greater than the third side length of 22; it would be collinear with the side length and it has to be greater than the side length.

8 0

3 years ago