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4 years ago

Which equation has a constant of proportionality equal to 9?

Mathematics

1 answer:

Ad libitum [116K]4 years ago

6 0

Let y directly proportional to X
thus y = CX
where c is proportionality constant
given c= 9
thus y = 9x

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Solve for b using the pythagorean theorem

Lostsunrise [7]

Answer:

b = 24

Step-by-step explanation:

$b^{2} = c^{2} - a^{2}$

$b^{2} = 25^{2} - 7^{2}$

$b^{2} = 625 - 49$

$\sqrt{b^{2}} = \sqrt{576}$

$b = 24$

6 0

3 years ago

I need to know the answer and work

Basile [38]

Answer:

$2\sqrt{17}$

Step-by-step explanation:

Given:

$\sqrt{68}$

To find:

Simplified result of the radical

Solution:

If a value is in square root and it is not a perfect square then we can solve it by finding the answer by factoring down it to smaller factors which are perfect squares and finding the square root of the smaller values

Now

68 can be written as

68 = 2 * 2 * 17

The given is

$\sqrt{68}$

It can be written as

$\sqrt{68}=\sqrt{2*2*17}$

= $\sqrt{2^{2}*17}$

Now

$\sqrt{a.b}$ = $\sqrt{a}$ . $\sqrt{b}$

so given become

$\sqrt{68}=\sqrt{2^{2}}*\sqrt{17}$

$\sqrt{68}=2*\sqrt{17}$ ∵√2² = 2

$\sqrt{68}=2\sqrt{17}$ ∵a*√b=a√b

4 0

4 years ago

Complete the next three terms in the pattern below

yan [13]

Look for an addition/subtraction or multiplication/division patterns between numbers in the sequence.

1, 4, 9, 16, ...
if you look at what you add to get to the next number.

+3, +5, +7, ...
the pattern is adding consecutive odd numbers

16+9 = 25
25+11 = 36
36+13 = 49

1, 4, 9, 16, 25, 36, 49, ...

6 0

4 years ago

What is the value of P(C or T)? A. B. C. D

bogdanovich [222]

MARK ME AS A BRAINLIST..........

4 0

3 years ago

The weight of crackers in a box is stated to be 16 ounces. The amount that the packaging machine puts in the boxes is believed t

krek1111 [17]

Answer:

99.99% probability that the mean weight of a 50-box case of crackers is above 16 ounces

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .