A government study in 2020 estimated that 1 million Californians don’t have access to safe drinking water. If the population of California is 39.51 million, what percentage of the population don’t have access to safe water?

Step-by-step explanation:

let the angles be ' 7x, 8x and 5x'

as we know, the sum of all the angles of a triangle is 180 degree, so,

7x + 8x + 5x = 180

20 = 180

x = 180/2

x = 90 degrees

7x = 7 × 90 = 630 degree

8x = 8 × 90 = 720 degrees

5x = 5 × 90 = 540 degrees

therefore, 5x is the smallest degrees

Answer:

The value of the test statistic is t = 2.19.

Step-by-step explanation:

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Our test statistic is:

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the expected mean, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Sample of 1300 voters:

This means that [tex]n = 1300[/tex]

Found that 45% of the residents favored construction.

This means that [tex]X = 0.45[/tex]

A political strategist wants to test the claim that the percentage of residents who favor construction is more than 42%.

This means that [tex]\mu = 0.42[/tex], and by the Central Limit Theorem:

[tex]\frac{\sigma}{\sqrt{n}} = s = \sqrt{\frac{0.42*0.58}{1300}} = 0.0137[/tex]

So, the test statistic is:

[tex]t = \frac{X - \mu}{s}[/tex]

[tex]t = \frac{0.45 - 0.42}{0.0137}[/tex]

[tex]t = 2.19[/tex]

The value of the test statistic is t = 2.19.

Answer:

2

Step-by-step explanation:

Answer:

First the line is positive so you can eliminate all negative choices for slope

Now start from a random point that lands on the graph

Now it can’t be 1 becuase it has am extra box but that line isn’t on a point

Now 1/2 it can’t be becuase if you rise 1 and go right 2 it’ll not land ona. Point

But for 2, you rise up 2 and right 1 and you land on a point on the graph so the final answer is 2

Answer:

The equation of a line passing through points [tex](x_1,y_1)[/tex]and [tex](y_1,y_2)[/tex] is given by:

[tex]y-y_1 = \frac{(y_2-y_1)}{x_2-x_1}(x-x_1)[/tex]

According to question, the passing points of the line are (1,1) and (3,-3). So, its equation is given by:

[tex]y-1 = \frac{-3-1}{3-1} (x-1) \\or, y-1 = \frac{-4}{2}(x-1)\\or, 2y-2 = -4x+4\\or, 4x + 2y = 2+4\\or, 4x+2y = 6\\or, 2x+y = 3 is the required equation.[/tex]

Answer:

Step-by-step explanation:

Given the expression

[tex]\lim_{x \to \ 0} \frac{sin^2x}{x}[/tex]

Substitute the value of x in the function

[tex]= \frac{sin ^2(0)}{0}\\= 0/0 (indeterminate) \\[/tex]

Apply l'hospital rule

[tex]\lim_{x \to \ 0} \frac{d/dx(sin^2x)}{d/dx(x)} \\= \lim_{x \to \ 0} \frac{(2sinxcosx)}{1} \\[/tex]

Substitute the value of x

= 2 sin(0)cos(0)

= 2 * 0 * 1

= 0

Hence the limit of the function is 0

Answer:

0.45 and 0.5

Step-by-step explanation:

plato/edmentum

The 90% confidence interval for the true proportion of club members who use compost is given as (0.4, 0.507)

This refers to the probability of a parameter falling across a set of values around the mean.

To find the 90% confidence interval,

Probability=  45%= 0.45

Level of significance= 90%

1-0.90

= 0.10

[tex]z\alpha /2 = z(0.1/2) = 0.05[/tex]

The value of 0.05

P0.05= 1.645

P ± 1.645 x [tex]\sqrt{P0-p/n}[/tex]

0.45 ± 1.645 * [tex]\sqrt{0.48 (1-0.45)/200}[/tex]

0.45 ± 1.645 * 0.035178

0.45 ± 0.0578

0.45 - 0.0578, 0.45 + 0.0578

(0.4, 0.507)

Read more about confidence intervals here:

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Answer:

B

Step-by-step explanation:

(x+4)(3x^2-7)

multiply and get 3x^3 +12x^2 -7x -28 which is anwser choice b

Answer:

9

Step-by-step explanation:

Move the variable to the other side of the equation

144 ÷ 16 = a

9 = a

Check:

144 ÷ a = 16 (Correct)

Answer:

apples cost a total of 2.16

cherrys cost a total of 9.05

Step-by-step explanation:

1.35*1.6=2.16

3.62*2.5=9.05

Answer:

$12.49

Step-by-step explanation:

cost of two purses = $57.97 - cost of dress = $57.97 - $32.99 = $24.98

cost of one purse = $24.98 ÷ 2 = $12.49

Answer:

24

Step-by-step explanation:

because  its 24 gkrjkkmn lol

Answer:

4.5 (j + m) + 27

Step-by-step explanation:

Answer:

Its oka linden

Step-by-step explanation:

Just cause

Explanation

-1.25+2.5=1.25

Answer:

1.25 is the answer .......

Step-by-step explanation:

hello will u be friend with me

Answer:

Hey

Step-by-step explanation:

Where is the question

The probability that a student is a female given that they have an A is 0.2

The given parameters are:

Female = 11

A= 10

Female and A = 2

The probability is calculated using:

P(Female given A) = P(female and A)/P(A)

This gives

P(Female given A) = 2/10

Simplify

P(Female given A) = 0.2

Hence, the probability that a student is a female given that they have an A is 0.2

Read more about probability at:

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Answer:

It will read the same at F = -40.

Step-by-step explanation:

The relation between fahrenheit and celsius is given by the following equation:

[tex]C = \frac{5(F-32)}{9}[/tex]

At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer?

This is F for C = F. So

[tex]C = \frac{5(F-32)}{9}[/tex]

[tex]F = \frac{5(F-32)}{9}[/tex]

[tex]9F = 5F - 160[/tex]

[tex]4F = -160[/tex]

[tex]F = -\frac{160}{4}[/tex]

[tex]F = -40[/tex]

It will read the same at F = -40.

Answer:

3[tex]\sqrt{5}[/tex]

Answer:

The answer is below

Step-by-step explanation:

Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 4x² + 16y² = 16

Solution:

Given that the ellipse has the equation: 4x² + 16y² = 16

let us make x the subject of the formula, hence:

4x² + 16y² = 16

4x² = 16 - 16y²

Dividing through by 4:

x² = (16 - 16y²)/4

x² = 4 - 4y²

Taking square root of both sides:

[tex]x=\sqrt{4-4y^2 }\\[/tex]

The points of the rectangle vertices is at (x,y), (-x,y), (x,-y), (-x,-y). Hence the rectangle has length and width of 2x and 2y.

The area of a rectangle inscribed inside an ellipse is given by:

Area (A) = 4xy

A = 4xy

[tex]A=4(\sqrt{4-4y^2} )y\\\\A=4y\sqrt{4-4y^2}=4\sqrt{4y^2-4y^4} \\\\The\ maximum\ area\ of\ the\ rectangle\ is\ at\ \frac{dA}{dy}=0\\\\ \frac{dA}{dy}=4(\frac{4-8y^2}{\sqrt{4-4y^2} } )\\\\4(\frac{4-8y^2}{\sqrt{4-4y^2} } )=0\\\\4-8y^2=0\\\\8y^2=4\\\\y^2=1/2\\\\y=\frac{1}{\sqrt{2} }\\\\x=\sqrt{4-4(\frac{1}{\sqrt{2} })^2}=\sqrt{2}[/tex]

Therefore the length = 2x = 2√2, the width = 2y = 2/√2

Answer:

attached below is the solution

Step-by-step explanation:

|x| < 7

= -7 < x < 7

| y | < 3

= -3< y < 3

attached below is the shaded region in the xy-plane

Answer:

probability that a rivet is defective is 0.00868

Step-by-step explanation:

given data

rivets = 20

all seam need reworking P = 16% = 0.16

solution

we consider here probability of a defective rivet = p

and 0.16 = P [Seam needs reworking) = P (at least one rivet in the seam is defective)

so that for non-defective = 1 - P [all the rivets are non-defective]

and that will be here as = 1 - P [rivet 1 is non-defective, rivet 2 is non-defective, rivet 3 is non-defective,...............,rivet 20 is non-defective]

= [tex]1 - (p})^{20}[/tex]     ....................1

so

1-0.16 = [tex]1 - (p})^{20}[/tex]

0.84 = [tex]1 - (p})^{20}[/tex]

[tex]0.84^{\frac{1}{20}}[/tex] = 1 - p

solve it we get

p = 0.00868

so, probability that a rivet is defective is 0.00868

Question:

[tex]5x-3y=14[/tex]

[tex]3x-5y=2[/tex]

Find x and y

Answer:

[tex]x = 4[/tex]

[tex]y =2[/tex]

Step-by-step explanation:

Given

[tex]5x-3y=14[/tex]  -- (1)

[tex]3x-5y=2[/tex] -- (2)

Required

Find x and y

We'll solve this using elimination method.

Multiply (1) by 3 and (2) by 5 to eliminate x

([tex]5x-3y=14[/tex]) * 3

([tex]3x-5y=2[/tex]) * 5

-------------------------------

[tex]15x - 9y = 42[/tex]

[tex]15x - 25y =10[/tex]

Subtract

[tex]15x - 9y = 42[/tex]

- ([tex]15x - 25y =10[/tex])

-----------------------

[tex]15x - 15x - 9y + 25y = 42 - 10[/tex]

[tex]- 9y + 25y = 42 - 10[/tex]

[tex]16y = 32[/tex]

Make y the subject

[tex]y = \frac{32}{16}[/tex]

[tex]y =2[/tex]

Substitute 2 for y in [tex]5x-3y=14[/tex]

[tex]5x - 3 * 2 = 14[/tex]

[tex]5x - 6 = 14[/tex]

Collect Like Terms

[tex]5x = 14+6[/tex]

[tex]5x = 20[/tex]

Make x the subject

[tex]x = \frac{20}{5}[/tex]

[tex]x = 4[/tex]

Answer:

Step-by-step explanation:

The first term here is -50 and the common ratio is 0.70.  Note that the second term is 0.70(50) = 35.

The formula a(n) = a(0)*r^(n -1) becomes  a(n) = -50*0.70^(n -1), and so

the 5th term is a(5) = -50*0.70^4 = -12.005

Answer:

Step-by-step explanation:

b = 10

Substitute b in every equation below and compare the results

A. 2(b + 4) = 16

B.  2(b + 2) = 40

C. 3(b - 2) = 24

D. 2(8 + b) = 42

E. 3(b - 4) = 20

Answer:

C. 3(b - 2) = 24..

Answer:

x=9

Step-by-step explanation:

13+14=3x

27=3x

27/3=x

9=x

Answer:

3

Step-by-step explanation:

_+(-4) = -1

_-4 = -1

_ = 3

9514 1404 393

Answer:

  1)  c, f

  2) a, e

  3) b, d

Step-by-step explanation:

If you think about the units associated with a coordinate (feet, for example), then you may recognize the following

a) each difference is of "feet", so each difference will have units of "feet". The ratio of "feet" to "feet" cancels the units, leaving a pure number. In this case, it is called "steepness" in selection e. Steepness is given by the slope formula (2).

__

b) The difference in parentheses has units of "feet" (as in (a)), so the square will be "square feet". The sum of two of those will still be "square feet" and the square root of that will be "feet". The units of the formula are those of distance, or length, matching selection d. Distance is given by the distance formula (3).

__

c) The form shown is an ordered pair. That is the same as the representation of a coordinate point, selection f. Coordinates of a point are given by the midpoint formula (1).