All categories

3 years ago

Will give BRAINEST

Mathematics

2 answers:

nikklg [1K]3 years ago

8 0

Answer:

Step-by-step explanation:

Vaselesa [24]3 years ago

3 0

Y = x + 1
y = 1/2x + 3

x + 1 = 1/2x + 3
x - 1/2x = 3 - 1
1/2x = 2
x = 2 / (1/2)
x = 2 * 2/1
x = 4

y = x + 1
y = 4 + 1
y = 5

so ur solution is : (4,5)

You might be interested in

Please help! take a pic and put a dot with the drawing tools on ur snipping tool/snip and sketch. Please i cant fail these quest

kherson [118]

take a pic of what and where are the questions???

5 0

2 years ago

How many different 13 card bridge hands can be selected from an ordinary deck?

amm1812

Your answer would be <span>635013559600.
Hope this helps :)</span>

6 0

3 years ago

Suppose that c varies jointly with d and the square of g, and c = 30 when d = 15 and g = 2.

maksim [4K]

Answer:

$d = \dfrac{3}{16}$

Step-by-step explanation:

c varies jointly with d and the square of g

$c\propto dg^2$

$c=kdg^2$

where, k is constant of proportionality.

Put the given value c = 30 when d = 15 and g = 2 and find out k

$30=k\cdot 15\cdot 2^2$

$k=\dfrac{1}{2}$

$c=\dfrac{1}{2}kg^2$

If c = 6 and g = 8 then d = ?

$6=\dfrac{1}{2}\cdot d\cdot 8^2$

$d=\dfrac{6\cdot 2}{8^2}$

$d=\dfrac{3}{16}$

Hence, The value of d is $\dfrac{3}{16}$

5 0

3 years ago

In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 persons. In addition, there

lesya692 [45]

Answer:

15.87% probability that a random sample of 16 people will exceed the weight limit

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 $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For sums, the theorem can be applied, with mean $n*\mu$ and standard deviation $s = \sqrt{n}*\sigma$

In this problem, we have that:

$n = 16, \mu = 16*150 = 2400, s = \sqrt{16}*27 = 108$

If a random sample of 16 persons from the campus is to be taken, what is the chance that a random sample of 16 people will exceed the weight limit

This is 1 subtracted by the pvalue of Z when X = 2508. So

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

By the Central Limit Theorem

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