Write an explanation on how to solve x-5.5=22.9

Percy solved the equation x2 + 7x + 12 = 12. His work is shown below. Is Percy correct? Explain.

Anna71 [15]

I hope this helps you

5 0

3 years ago

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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 215 vinyl glov

pickupchik [31]

Answer:

$z=\frac{0.7-0.07}{\sqrt{0.385(1-0.385)(\frac{1}{215}+\frac{1}{215})}}=13.42$

$p_v =P(Z>13.42)\approx 0$

So the p value is a very low value and using any significance level given $\alpha=0.01$ we se that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that vinyl gloves have a greater virus leak rate than latex gloves at 1% of significance.

Step-by-step explanation:

Data given and notation

$n_{V}=215$ sample of vinyl gloves selected

$n_{L}=215$ sample of latex gloves selected

$p_{V}=0.7$ represent the proportion of vynil gloves with leaked viruses

$p_{L}=0.07$ represent the proportion of latex gloves with leaked viruses

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the vinyl gloves have a greater virus leak rate than latex gloves , the system of hypothesis would be:

Null hypothesis: $p_{V} \leq p_{L}$

Alternative hypothesis: $p_{V} > \mu_{L}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{V}-p_{L}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{V}}+\frac{1}{n_{L}})}}$ (1)

Where $\hat p=\frac{X_{V}+X_{L}}{n_{V}+n_{L}}=\frac{0.7+0.07}{2}=0.385$

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.7-0.07}{\sqrt{0.385(1-0.385)(\frac{1}{215}+\frac{1}{215})}}=13.42$

Statistical decision

Since is a one right tailed test the p value would be:

$p_v =P(Z>13.42)\approx 0$

So the p value is a very low value and using any significance level given $\alpha=0.01$ we se that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that vinyl gloves have a greater virus leak rate than latex gloves at 1% of significance.

3 0

3 years ago

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Solve -3y + 14 + y = 12

ser-zykov [4K]

Answer:

y = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

-3y + 14 + y = 12

Step 2: Solve for y

Combine like terms [Addition]: -2y + 14 = 12
[Subtraction Property of Equality] Subtract 14 on both sides: -2y = -2
[Division Property of Equality] Divide -2 on both sides: y = 1

6 0

2 years ago

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write an equation for a circle with a diameter that has endpoints at (-4, -7) and (-2, -5). round to the nearest tenth if necess

andrezito [222]

Answer:

The answer to your question is (x + 3)² + (y + 6)² = 2

Step-by-step explanation:

Endpoints (-4, -7) and (-2, -5)

Process

1.- Find the length of the radius

d = $\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }$

d = $\sqrt{(-2 + 4)^{2}+ (-5 + 7)^{2} }$

d = $\sqrt{2^{2} + 2^{2} }$

d = $\sqrt{4 + 4}$

d = $\sqrt{8}$

Radius = $\frac{\sqrt{8} }{2}$ = $\sqrt{2}$

2.- Find the center

Xm = $\frac{-4 - 2}{2} = \frac{-6}{2} = -3$

Ym = $\frac{-7 - 5}{2} = \frac{-12}{2} = -6$

Center = (-3, -6)

3.- Write the equation

(x - h)² + (y - k)² = r²

(x + 3)² + (y + 6)² = ( $\sqrt{2}$ )²

(x + 3)² + (y + 6)² = 2

3 0

3 years ago

I will give you a Brainly crowd if it is right. Will you help me

eimsori [14]

Answer:

A natural disaster that affects a small number of organisms.

Step-by-step explanation:

A natural disaster that affects a small number of organisms since a natural disaster is a sudden and unpredictable for the most part. Due to this, animals don't have time to adapt and this will not affect the evolution process of those species since they are likely to die within a short period of time after the calamity occurs. They will not have enough time to save their own lives so can you expect them to evolve and grow wings to fly away?

8 0

3 years ago