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2 years ago

-2x + y = 4 y = x + 2 Third question^ solve the system of equations

Mathematics

1 answer:

Leya [2.2K]2 years ago

6 0

Answer:

x=-2 y=0

Step-by-step explanation:

put the second equation in to the first one

-2x+x+2=4

-x=2

x=-2

y=-2+2=0

x=-2 y=0

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Suppose that in a random selection of 100 colored candies, 26% of them are blue. The candy company claims that the percentage

quester [9]

Answer: a) -0.2252, b) 0.8219

Step-by-step explanation:

Since we have given that

Sample size n = 100

Probability that candies are blue = p= 0.26

Probability that company claims that it is blue candy = P = 0.27

So, Q = 1-P= 1-0.27 = 0.73

So, Null hypothesis : $H_0:p=P$

Alternate hypothesis : $H_1:p\neq P$

So, the test statistic would be

$z=\dfrac{p-P}{\sqrt{\dfrac{P.Q}{n}}}\\\\z=\dfrac{0.26-0.27}{\sqrt{\dfrac{0.27\times 0.73}{100}}}\\\\z=-0.2252$

Since α = 0.05

So, critical value of z = 1.96

p-value = P(Z>Z(calculated)

Using the excel function , we get that

$P(z>0.2252)\\\\=2\times 0.410.911845\\\\=0.8219$

Hence, a) -0.2252, b) 0.8219

6 0

2 years ago

Siri am I a mix of recipe that calls for 1 1/2 cups of flour and 3/4 to get butter Jeremiah uses three sticks of butter how many

Inga [223]

Answer:

6 cups

Step-by-step explanation:

jeremiah 4× the recipe

3/4×4=3

so 1 1/2×4=6

8 0

3 years ago

The side lengths of a triangle are 6, 8, and 12. Is this a right triangle?

gizmo_the_mogwai [7]

<h2><u>D.</u></h2><h3>It's incorrect, because 6 squared = 36, 8 squared = 64, add them together and you get 100. 12 squared does NOT equal 100, it equals 144.</h3>

<em>(To find the hypotenuse {longest side of the triangle}, you square the two short sides, add them together, and finally, divide it by the provided number, and see if the number matches the provided number's square.)</em>

<h3>Brainly if correct and Thanks!</h3>

8 0

3 years ago

Read 2 more answers

The employees of a company were surveyed on questions regarding their educational background (college degree or no college degre

taurus [48]

Answer: D) 0.733.

Step-by-step explanation:

Let C denotes the number of employees having college degree and S denote the number of employees are single.

We are given ,

Total = 600 , n(C)=400 , n(S)=100 , n(C∩S)=60

Then,

$n(C\cup S)=n(C)+n(S)-n(C\cap S)\\\\=400+100-60=440$

Now, the probability that an employee of the company is single or has a college degree is

$P(C\cup S)=\dfrac{n(C\cup S)}{\text{Total}}\\\\=\dfrac{440}{600}=0.733333333\approx0.733$

Hence, the probability that an employee of the company is single or has a college degree is 0.733

8 0

3 years ago

In 1982 Abby’s mother scored at the 93rd percentile in the math SAT exam. In 1982 the mean score was 503 and the variance of the

oksian1 [2.3K]

Answer:

The percentle for Abby's score was the 89.62nd percentile.

Step-by-step explanation:

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

In a set with mean $\mu$ and standard deviation(which is the square root of the variance) $\sigma$ , 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.

Abby's mom score:

93rd percentile in the math SAT exam. In 1982 the mean score was 503 and the variance of the scores was 9604.

93rd percentile. X when Z has a pvalue of 0.93. So X when Z = 1.476.

$\mu = 503, \sigma = \sqrt{9604} = 98$