With domestic sources of building supplies running low several years ago, roughly 60,000 homes were built with imported Chinese drywall. According to an article federal investigators identified a strong association between chemicals in the drywall and electrical problems, and there is also strong evidence of respiratory difficulties due to the emission of hydrogen sulfide gas. An extensive examination of 58 homes found that 46 had such problems. Suppose these 58 were randomly sampled from the population of all homes having Chinese drywall.
(a) Does the data provide strong evidence for concluding that more than 50% of all homes with Chinese drywall have electrical/environmental problems? Carry out a test of hypotheses using a = 0.01.
Compute the test statistic value. Round your answer to two decimal places.
(b) Calculate a lower confidence bound using a confidence level of 99% for the percentage of all such homes that have electrical/environmental problems. (Round your answer to one decimal place.)
(c) If it is actually the case that 80% of all such homes have problems, how likely is it that the test of (a) would not conclude that more than 50% do? (Round your answer to four decimal places.)

Answer:

it's a quadratic formula

Step-by-step explanation:

in the formula, substitute the value of a as 1, b as 2 and c as -8

then, you will get ur answer

Answer:

AA similarity, triangle CBA is congruent to triangle CST

Step-by-step explanation:

angle ACB and angle TCS are congruent by the vertical angles theorem

The picture marks that angle B and angle S is congruent

since 2 angles are congruent, the triangles are similar by the AA similarity

Answer:

quadrilateral

Step-by-step explanation:

A quadrilateral that has two pairs of parallel sides.

Answer:

[tex]\boxed{m = \frac{1}{4}}[/tex]

.

Step-by-step explanation:

Use the form below

[tex]\boxed{\boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }}[/tex]

Where

.

So, the slope is

[tex](2,~ 1) \to x_1 = 2~and~y_1 = 1[/tex]

[tex](6,~ 2) \to x_2 = 6~and~y_2 = 2[/tex]

.

[tex]m = \frac{2-1}{6-2}[/tex]

[tex]m = \frac{1}{4}[/tex]

.

Happy to help:)

Answer:

[tex]\boxed {\boxed {\sf m=\frac{1}{4}}}[/tex]

Step-by-step explanation:

The slope of a line can be found using the slope formula or dividing the change in y by the change in x.  

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are the points the line passes through.

We are given the points (2,1) and (6,2). Therefore:

[tex]x_1=2 \\y_1= 1\\x_2= 6\\y_2=2[/tex]

Substitute the points into the formula.

[tex]m=\frac{2-1}{6-2}[/tex]

Solve the numerator.

[tex]m=\frac{1}{6-2}[/tex]

Solve the denominator

[tex]m=\frac{1}{4}[/tex]

This fraction cannot be reduced further, so it is the slope. It can be written as a decimal too:

[tex]m= 0.25[/tex]

The slope of the line is 1/4 (0.25)

Answer:

Step-by-step explanation:

The standard from of equation of a line is expressed as;

y = mx+c

m is teh slope = -7

c is the intercept

Get the intercept by substituting m = -7 and the point (-2, 5) into the equation;

y = mx+c

5 = -7(-2) + c

5 = 14 + c

c = 5-14

c = -9

Substitute m = -7 and c = -9 into the expression y = mx+c

y = -7x - 9

Hence the required equation of the line is y = -7x - 9

Answer:

9x-14

Step-by-step explanation:

the format of the slope intercept formula mx+b

Answer:

3(x)+2

Step-by-step explanation:

2(5)+6 = 16

3(5)+2 = 17

4(5)-5 = 15

5(5)-10 = 15

Answer:

0.1

Step-by-step explanation:

Answer:

[2,6]

Step-by-step explanation:

3x+5y=36

5x-4=y

3x+5(5x-4)=36

3x+25x-20=36

28x-20=36

28x=56

x=2

5x-4=y

5*2-4=y

10-4=y

6=y

Answer:

30= 20 so, that’s 10 dollars of

                                            1o+ 7. 5=17. 5+10=27 .50

Step-by-step explanation:

I took the test hope this helps

Answer:

30

Step-by-step explanation:

since 12 - 7 is in the- um- whatever these- ( )- things are called (I forgot), you do it first. 12 - 7 is 5.

Next you do 6 x 5 which gives you your final answer of 30.

(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more!

- •Trix•

( Yes I know my - •Trix• thingy is not my user but it’s what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

Complete question is;

A shareholders’ group, in lodging a protest, claimed that the mean tenure for a chief executive office (CEO) was at least seven years. A survey of companies reported in The Wall Street Journal found a sample mean tenure of x¯ = 7.27 years for CEOs with a standard deviation of s = 6.38 years (The Wall Street Journal, January 2, 2007).

a. Formulate hypotheses that can be used to challenge the validity of the claim made by

the shareholders’ group.

b. Assume 85 companies were included in the sample. What is the p-value for your hypothesis

test?

Answer:

A) Null hypothesis: H0: μ ≥ 7

Alternative hypothesis: μ < 7

B) p-value = 0.3488

Step-by-step explanation:

A) We are told that the shareholders group claimed that the mean tenure for a chief executive office (CEO) was at least seven years.

Thus, defining the hypothesis, we have;

Null hypothesis: H0: μ ≥ 7

Alternative hypothesis: μ < 7

B) Sample mean: x¯ = 7.27 years standard deviation: s = 6.38 years

Sample size = 85

Formula for the test static is;

t = (x¯ - μ)/(s/√n)

t = (7.27 - 7)/(6.38/√85)

t = 0.39

From online p-value from t score calculator attached using: t = 0.39, DF= 85 - 1 = 84, significance value = 0.05, one tail, we have;

p-value = 0.3488

Answer:

That would be 38.4.

Answer:

8. Not similar

9. Similar

Step-by-step explanation:

8. You could try to us the AA theorem which means that two angles in the triangle are equal, which would mean that the triangles are similar. But 46+58=104 and 180-104=76 so there are not two similar angled between the triangles.

9. You can use the same theorem for this problem (AA). So 106+31=137 and then 180-137=43 which is one of the angles in the second triangle. Since at least two of the angles are equal, you can use AA theorem yo prove they are similar.

Hope this helps!

Answer:

The two triangles in 8 are not similar. The two triangles in 9 are similar.

Step-by-step explanation:

The three angles of all triangles must add up to 180°.

The left triangle in 8 has these angles:

46  58  and (180 - (46+58)) = 76

The right triangle in 8 has these angles:

58  78  and (180 - (58+78)) = 44

So, 46 | 44 and 76 | 78 are dissimilar.

The left triangle in 9 has these angles:

106  31  and (180 - (106+31)) = 43

The right triangle in 9 has these angles:

31  43  and (180 - (31+43)) = 106

But the triangles in 9 all have the same angles: 31  |  43  |  106.

Answer:

Jonathan is deciding between two truck rental companies. Company A

charges an initial fee of go for the rental plus $1 per mile driven

Company B charges an initial fee of $10 for the rental plus $1.50 per

mile driven. Let A represent the amount Company A would charge if

Jonathan drives s miles, and let B represent the amount Company B

would charge if Jonathan drives s miles, Graph each function and

determine which company would be cheaper if Jonathan needs to

drive 60 miles with the rented truck,

Answer:

-2.75

Step-by-step explanation:

Answer:

  d. The farmer can make a habitat that is 40 feet wide and 100 feet long.

Step-by-step explanation:

The attached graph shows the inequalities and the various answer choices. The existence of the doubly-shaded area shows that answer choice C is false.

The appropriate choice is ...

  d. The farmer can make a habitat that is 40 feet wide and 100 feet long.

Answer:

A) 0.1339

B) 0.8078

Step-by-step explanation:

The Poisson Distribution formula is given by;

P(x; μ) = (e^(-μ) × (μ^(x))/x!

We are given;

Variance = 0.5 per month

Now, in Poisson distribution, variance = mean.. Thus, mean μ = 0.5 per month

A) We want to find the probability that 4 typhoons will hit US in a year.

Thus, x = 4

But since it's for a year, then μ = 0.5 × 12 = 6

So;

P(x = 4) = (e^(-6) × (6^(4))/4!

P(x = 4) = 0.00247875 × 1296/24

P(X = 4) = 0.1339

B) probability that at least 2 typhoons will hit US in a given half-year is;

P(X ≥ 2) = 1 - P(X < 2)

P(X < 2) = P(X = 0) + P(X = 1)

In a half given year, μ = 0.5 × 6 = 3

P(X = 0) = (e^(-3) × (6^(0))/0!

P(X = 0) = 0.0498

P(X = 1) = (e^(-3) × (6^(1))/1!

P(X = 1) = 0.1494

P(X < 2) = 0.0498 + 0.1494

P(X < 2) = 0.1922

P(X ≥ 2) = 1 - 0.1922

P(X ≥ 2) = 0.8078

The common factors for 24,40,56 24 , 40 , 56 are −8,−4,−2,−1,1,2,4,8 - 8 , - 4 , - 2 , - 1 , 1 , 2 , 4 , 8 .

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

24 divided by 3  = 8

40 divided by 5 = 8

56 divided by 7 = 8

GCF is basically the greatest common factor. Mostly the greatest number factor of these multiples.

Answer:

They intersect when the Strike king is at (9,15.75) and Thunder Alley is at (7, 15.75). But only the X axes intersect. The X and Y axes intersect at (0,0) that's where they start and that is where they meet. Its a proportional relationship because their ratios are equivalent. It represents the constant of proportionality.

Step-by-step explanation:

Answer:

The slope is 1/6

Step-by-step explanation:

The equation is written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept.

From this, we know that 1/6 is the slope because it is plugged in for m.

Hope this helps! :)

Answer:

The slope is 1/6

Explanation:

The slope is always the coefficient of X

Answer:

imma go wit B. I mean thats my guess

Answer:

The magnitude of vector is:

[tex]\left|\begin{pmatrix}5&-6\end{pmatrix}\right|=\sqrt{61}[/tex]

v = <5, -6> means the vector has x-coordinate x = 5 and y-coordinate y = -6, so the vector v = <5, -6>  is heading towards SE.

Thus, option ( j ) is correct.

i.e.  [tex]\sqrt{61},\:SE[/tex]

Step-by-step explanation:

Given the vector

v = <5, -6>

Determining the magnitude of the vector

To find a magnitude of a vector v = (a, b) we use the formula

[tex]||v||\:=\:\sqrt{a^2+b^2}[/tex]

Magnitude of the vector is basically termed as the length of the vector, which is denoted by

[tex]|\left(5,\:-6\right)|=\sqrt{\left(5\right)^2+\left(-6\right)^2}[/tex]

            [tex]=\sqrt{5^2+6^2}[/tex]

             [tex]=\sqrt{25+36}[/tex]

             [tex]=\sqrt{61}[/tex]

Thus, the magnitude of vector is:

[tex]\left|\begin{pmatrix}5&-6\end{pmatrix}\right|=\sqrt{61}[/tex]

As the vector v = <5, -6> lies in 4th quadrant.

v = <5, -6> means the vector has x-coordinate x = 5 and y-coordinate y = -6, so the vector v = <5, -6>  is heading towards SE.

Thus, option ( j ) is correct.

i.e.  [tex]\sqrt{61},\:SE[/tex]

Answer:

why?

Step-by-step explanation:

Answer:

..is cereal a soup?

Step-by-step explanation:

is it tho?

Answer:

Pictured is the equilateral triangle with 3 sides and 3 angles being same

This should be equilateral triangle theorem, but it is not captured by answer choices

Answer:

Step-by-step explanation:

-24<=x<=24

I'm on my phone and can't access the less than equal to sign.