Brennen is hired as a lifeguard at Waterworks, the local water park. The average beginning salary per hour is $8.50 but the actual beginning salary could differ from the average by as much as $0.95. What possible beginning salaries could Brennen earn?

Therefore, the ratio of the length of the corresponding sides of Figure A and Figure B is 1.5:1 or 3:2.

We can use the ratio of corresponding sides to find the ratio of the length of the sides. The ratio of corresponding sides is equal to the ratio of the bases or the ratio of the sides. In this case, the ratio of the bases is 1.5/1 = 1.5 and the ratio of the sides is 3/2 = 1.5. Therefore, the ratio of the length of the corresponding sides of Figure A and Figure B is 1.5:1 or 3:2.
To find the ratio of the length of corresponding sides of similar triangles in Figures A and B, we can use the ratio of the bases or the ratio of the sides. In this case, the ratio of the bases is 1.5/1 = 1.5 and the ratio of the sides is 3/2 = 1.5.

Therefore, the ratio of the length of the corresponding sides of Figure A and Figure B is 1.5:1 or 3:2.

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Answer:

Your answer should be x = \(\frac{48}{7}\).

Hope this helps.

Answer:

x is about 6.857 or 48/7

Step-by-step explanation:

to do this we cross multiply

42/18=16/x

42x=18(16)

42x=288

x=6.857

Hopes this helps please mark brainliest

14% of the houses have neither straw roofs nor electricity.

What is algebra?

A common theme that unites almost all of mathematics is algebra. The study of variables and the guidelines for formulating their manipulation are part of it. Elementary algebra is a requirement since all mathematical applications involve manipulating variables as though they were numbers.

Here. we have

Given data,

Percent of houses having straw roofs = 80%

Percent of houses that had no electricity = 34%

Houses with straw roof and no electricity = (1/4)*houses having straw roofs

Let the total number of houses in the village be 'x'

So, number of houses having straw roof = (80/100)*x = 0.8x

Number of houses having no electricity = (34/100)*x = 0.34x

Number of houses having straw roof and no electricity = (1/4)*(80/100)*x = 0.2x

Number of houses without straw roofs and electricity = (total number of houses having no electricity - number of houses having a straw roof and no electricity) = 0.34x - 0.2x = 0.14x

Hence, 14% of the houses have neither straw roofs nor electricity.

Question: In a village, 80% of the houses have straw roofs and

34% of the houses have no electricity. A quarter of

the houses with straw roofs have no electricity. What

percentage of the houses have neither straw roofs

nor electricity?

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The integral ∫ xarcsin(x) dx evaluates to x * arcsin(x) - 2/3 * (1 - x²)^(3/2) + C, where C is the constant of integration.

The integral ∫ xarcsin(x) dx can be evaluated using integration by parts.

∫ xarcsin(x) dx = x * arcsin(x) - ∫ (√(1 - x²)) dx

Let's evaluate the remaining integral:

∫ (√(1 - x²)) dx

To evaluate this integral, we can use the substitution method. Let u = 1 - x², then du = -2x dx.

Substituting the values, we get:

∫ (√(1 - x²)) dx = -∫ (√u) du/2

Integrating, we have:

-∫ (√u) du/2 = -∫ (u^(1/2)) du/2 = -2/3 * u^(3/2) + C

Substituting back u = 1 - x², we get:

-2/3 * (1 - x²)^(3/2) + C

Therefore, the final result is:

∫ xarcsin(x) dx = x * arcsin(x) - 2/3 * (1 - x²)^(3/2) + C

where C is the constant of integration.

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The answer is (-5,3), since both Point F and Line D are 5 units away from point (-5,3).

Answer:

angle x = 28 degrees

Step-by-step explanation:

Because of vertical angles, angle IAK and angle BAC are equal, and angle GCJ and angle ACB are also equal due to vertical angles

Since KL is perpendicular to FG, angle ABC is 90 degrees

ABC is a right triangle and acute angles in a right triangle are equal to 90 degrees

This means that angle BAC + angle ACB = 90 degrees

angle BAC = 62 degrees and angle ACB = x degrees

62 + x = 90

x = 28 degrees

Answer:

⅙

Step-by-step explanation:

Get the LCM of the three numbers to get the ml of the total juice.

You take the LCM and divide it by the 25ml of the apple juice.

The calculated measure of the angle CTZ is 38 degrees

From the question, we have the following parameters that can be used in our computation:

This means that

YTA + BTC = 90

So, we have

4y + 6 + 7y - 4 = 90

So, we have

11y = 88

Divide

y = 8

Next, we have

CTZ = 90 - BTC

So, we have

CTZ = 90 - (7y – 4)

This gives

CTZ = 90 - (7 * 8 – 4)

Evaluate

CTZ = 38

Hence, the measure of CTZ is 38 degrees

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To calculate the probability that your neighbor is a Republican given the information that they own a gun, we can use Bayes' theorem.

Let's define the following events:

A: Neighbor is a Republican

B: Neighbor owns a gun

We are given:

P(A) = 0.55 (probability that a resident is a Republican)

P(B|A) = 0.40 (probability that a Republican owns a gun)

P(B|not A) = 0.20 (probability that a Democrat owns a gun)

We want to find P(A|B), which is the probability that your neighbor is a Republican given that they own a gun.

According to Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / P(B)

To find P(B), the probability that a randomly chosen person owns a gun, we can use the law of total probability:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

P(not A) represents the probability that a resident is not a Republican, which is equal to 1 - P(A).

Substituting the given values, we can calculate P(A|B):

P(A|B) = (P(B|A) * P(A)) / (P(B|A) * P(A) + P(B|not A) * P(not A))

P(A|B) = (0.40 * 0.55) / (0.40 * 0.55 + 0.20 * (1 - 0.55))

Calculating the expression above will give us the probability that your neighbor is a Republican given that they own a gun.

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There are approximately 2425 of those intervals that will contain the population means.

A confidence interval is a range of values that includes a parameter estimate with a certain degree of certainty. A confidence interval is a measure of uncertainty about an estimation procedure, rather than a statement about a parameter. A confidence interval is a specific value or a range of values in statistics that is used to estimate population characteristics.

This is because a 97% confidence interval means that if we were to repeat the sampling process many times, about 97% of the resulting intervals would contain the population mean. In other words, we would expect 97% of the intervals to be "correct" in the long run, while about 3% of them would not contain the population mean.

Therefore, out of the 2500 intervals we compute, we would expect approximately 0.97 x 2500 = 2425 intervals to contain the population mean, and about 0.03 x 2500 = 75 intervals not to contain the population mean. However, it's important to note that the actual number of intervals that contain the population means may vary from this expected value due to random sampling variability.

Where, \(\[\bar{x}\]\) is the sample mean

\(\[\frac{s}{\sqrt{n}}\]\) is the standard error of the mean

zα/2 is the z-score that covers α/2 in the tails of a normal distribution.

As we draw 2500 samples of size 100 from a population and compute a 97% confidence interval for each sample, the proportion of the sample will contain the population means.

Therefore, the number of intervals that will contain the population mean is approximately 2425.

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The correct answer is 48 pieces.

To determine the number of pieces that can be cut from the steel sheet, we need to divide the dimensions of the steel sheet by the dimensions of each piece to see how many can fit.

Calculate the number of pieces along the length:

The length of the steel sheet is given as 2400 mm, and each piece has a length of 300 mm. By dividing the total length by the length of each piece, we get 2400 mm ÷ 300 mm = 8. This means we can cut 8 pieces along the length of the steel sheet.

Calculate the number of pieces along the width:

The width of the steel sheet is given as 1200 mm, and each piece has a width of 200 mm. By dividing the total width by the width of each piece, we get 1200 mm ÷ 200 mm = 6. This means we can cut 6 pieces along the width of the steel sheet.

Calculate the total number of pieces:

To find the total number of pieces, we multiply the number of pieces along the length by the number of pieces along the width: 8 pieces × 6 pieces = 48 pieces.

Therefore, the correct answer is 48 pieces.

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Answer:

don't know........

......

Answer:

D is the answer, the angles remain the same

Step-by-step explanation:

Scenario 2 Magnifi Co. produces a high-end amplifier for musical aficionados. Historically, only 85% of the 200 amplifiers produced per month on average have met the company's demanding standards for quality control. Suppose a random sample of 50 amplifiers is taken from a month's production..

What is the probability that less than 40 of the amplifiers will meet the company's quality standards? b) What is the probability that between 40 and 45 inclusive of the amplifiers will meet the company's quality standards? c) What is the probability that more than 45 of the amplifiers will meet the company's quality standards? a) In order to solve for the probability that less than 40 amplifiers will meet the company's quality standards, we can use the binomial distribution formula: P(X < 40) = Σi=0^39 C(50, i) (0.85)i(1-0.85)50-i

This can be solved using a computer, calculator, or by using a binomial probability table. Using a binomial table, we can find that P(X < 40) = 0.024. Therefore, there is a 0.024 probability that less than 40 amplifiers will meet the company's quality standards. b) To solve for the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards, we can use the binomial distribution formula again. We need to solve for P(40 ≤ X ≤ 45): P(40 ≤ X ≤ 45) = Σi=40^45 C(50, i) (0.85)i(1-0.85)50-i This can also be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(40 ≤ X ≤ 45) = 0.435. Therefore, there is a 0.435 probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards. c) To solve for the probability that more than 45 amplifiers will meet the company's quality standards, we can use the binomial distribution formula one more time. We need to solve for P(X > 45): P(X > 45) = Σi=46^50 C(50, i) (0.85)i(1-0.85)50-i Once again, this can be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(X > 45) = 0.056. Therefore, there is a 0.056 probability that more than 45 amplifiers will meet the company's quality standards.Overall, it can be concluded that the probability that less than 40 amplifiers will meet the company's quality standards is low, the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards is relatively high, and the probability that more than 45 amplifiers will meet the company's quality standards is relatively low.

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The 33rd term of the given Arithmetic progression will be -132.

What is an Arithmetic progression?

A series of numbers is called a "arithmetic progression" (AP) when any two subsequent numbers have a constant difference. Arithmetic Sequence is another name for it.

Given, first term= a1= 28

and, a93 = -432

we know that, a93 = -432

                   a + 92d = -432 (where d is the common difference)

                  28 + 92d = -432

                     92d = -432-28

                             = -460

                       d = -460/92 = -5.

Now, we can find the a33,

               a33 = a + 32d

                       = 28 + (32× -5)

                       = 28-160

                       = -132.

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Answer:

Chicago

Step-by-step explanation:

Compare the temperatures:

-4, -14, -11, -13

Numbers become smaller to the left on the number scale.
For instance, -10 is less than -5.

So, -13, -11, and -4 are all greater than -14.

And the lower the temperature, the colder it is.

Thus, Chicago is the coldest.

The probability associated with obtaining a particular value of z is referred to as its statistical probability or simply its probability. It represents the likelihood of observing a specific value of z in a given statistical distribution.

The probability of a specific value of z can be calculated using various statistical methods, depending on the distribution being considered. In statistics, z represents a standard score or a z-score. It is a measure of how many standard deviations a particular value is away from the mean of a distribution. The probability associated with a specific value of z is determined by the characteristics of the distribution, such as its shape, mean, and standard deviation. Different distributions, such as the normal distribution or the t-distribution, have different methods for calculating probabilities associated with specific values of z.

The probability associated with a particular value of z can be useful in hypothesis testing, confidence interval estimation, or determining the likelihood of an event occurring. By understanding the probability distribution of z-values, statisticians can make informed decisions and draw conclusions based on data analysis.

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The probability of being dealt a red card followed by a queen is 0.0392. This is a problem of probability without replacement.

A standard deck of 52 cards consists of four suits that are hearts, diamonds, clubs, and spades. The hearts and diamonds are red. While, the clubs and spades are black. Each suit consist of 13 ranks. They are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.

If you pick two cards, one at a time, what is the probability that you draw a red card (of any rank) as the first card, and a queen card (of any suit) as the second card?

P(1st is red ∩ 2nd is queen)

= P(1st is red) × P(2nd is queen)

= (26/52) × (4/51)

= 104/2,652

= 0.0392

Hence, the probability of being dealt a red card followed by a queen is 0.0392.

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The function of differentiable parameterization of arc length 2 in space is ∫√(1)² + (2t)² + (cos(t))² dt.

To set up a differentiable parameterization of arc-length 2 in space, we can use the arc-length formula:

s = ∫√(dx/dt)² + (dy/dt)² + (dz/dt)² dt

where s is the arc length, t is the parameter, and (x, y, z) is the position vector.

We want the arc length to be 2, so we can set up the following equation:

2 = ∫√(dx/dt)² + (dy/dt)² + (dz/dt)² dt

We can then choose a function for each component of the position vector, such as:

x = t

y = t²

z = sin(t)

We can now find the derivatives with respect to t:

dx/dt = 1

dy/dt = 2t

dz/dt = cos(t)

We can substitute these into the arc-length formula:

2 = ∫√(1)² + (2t)² + (cos(t))² dt

Solving this integral for t will give us the desired parameterization of arc-length 2 in space. However, this integral may not have a closed-form solution, so numerical methods may need to be used to approximate the solution.

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The question is -

Differentiable parameterization of arc-length 2 in space ( not in a plane) how would you set up the function?

something you should keep in mind is that all three angles in a triangle always add up to 180 degrees.

so, here, since you know the two other angles, you can find the third.

180 - 106 - 42 will give you the measure of that third angle.

your answer will be 32.

hope i helped, good luck!

Answer:

32

Step-by-step explanation:

as you triangle angle add up to 180 so you add 106 by 42 which gives you 148 then

you take 180 -148 which it will give you =32

The angle at which the man drifts downstream is approximately 39.17°. In this case, none of the given answer choices (60°, 30°, 40°, and 50°) are correct.

The man's drift downstream can be determined by considering the relative motion between his rowing speed and the river's flow. To find the angle, we can use trigonometry.

Let's assume that the man is rowing directly across the river, perpendicular to the direction of the river flow. The resultant velocity of the man's motion is the vector sum of his rowing speed and the river's flow. The magnitude of the resultant velocity can be found using the Pythagorean theorem.

The rowing speed of the man is 5 miles per hour, and the river's flow is 6 miles per hour. Using the Pythagorean theorem, we can calculate the magnitude of the resultant velocity:

resultant velocity = \(sqrt((rowing speed)^2 + (river flow)^2)\)
                 =\(sqrt((5^2) + (6^2))\)
                 = \(sqrt(25 + 36)\)
                 = \(sqrt(61)\)
                 ≈ 7.81 miles per hour

Now, to find the angle at which the man drifts downstream, we can use trigonometry. The tangent of the angle can be determined by dividing the magnitude of the river's flow by the magnitude of the resultant velocity:

\(tan(angle) = (river flow) / (resultant velocity)\)
          = 6 / 7.81
          ≈ 0.768

To find the angle, we take the arctan of 0.768:

angle ≈ arctan(0.768)
     ≈ 39.17°

Therefore, the angle at which the man drifts downstream is approximately 39.17°. In this case, none of the given answer choices (60°, 30°, 40°, and 50°) are correct.

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Answer:

\( \huge{ \boxed{ \sf{ \sqrt{18} \: units}}}\)

Step-by-step explanation:

\( \star{ \sf{ \:Sea \: M (2, 2) \: (x1, y 1) \: y \: N (5, -1) \: sea \: (x2, y2).}}\)

\( \star{ \sf{ \: Usando \: la \: fórmula \: de \: la \: distancia}} : \)

\( \boxed{ \sf{distancia = \: \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}\)

\( \mapsto{ \sf{distancia \: = \: \sqrt{ {(5 - 2)}^{2} + {( - 1 - 2)}^{2} } }}\)

\( \mapsto{ \sf{distancia = \sqrt{ {(3)}^{2} + {( - 3)}^{2} } }}\)

\( \mapsto{ \sf{distancia \: = \sqrt{9 + 9}}} \)

\( \mapsto{ \sf{distancia = \sqrt{18} \: units}}\)

\( \sf{¡Espero \: haber \: ayudado!}

\)

\( \sf{¡Atentamente!}\)

~\( \text{TheAnimeGirl}\)

Answer:

This is trapezium.

Area of this figure =1/2h(d1-d2)

1/2×5(14-8)

=30/2

=15cm^2

Answer:

Step-by-step explanation:

This equation is in slop-intercept form. This means that the y-int is in the equation, it will always be the constant, so y is -18.

To find x, set y to 0.

0 = 8x - 18

18 = 8x

18/8 = x

9/4 = x

On solving the provided, we can say that - here in graphs by solving the equation - \(x^2 + y^2 = > 2^2 = > 4\)

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

here from graph,

x= 0

and y = 2

so, in equation

\(x^2 + y^2 \\2^2\\4\\\)

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Answer:

160 i think?

Step-by-step explanation:

45 + 25 =70 so 70-180= 160

Answer:

-2n-3

Step-by-step explanation:

-5 , -7 they go up in steps of -2

but it was -2n this would be how it would go

a) -2 -4 -6 -8

which you can see is -3 off each time

so -2n which is a)  

and then -3

= -2n-3

plz say thanks ! xxx

Answer:

0.18

Step-by-step explanation:

12(-0.3)^2(1/6)

6(2(-0.3)^2(1/6)

cancel the common factor

2(-0.3)^2

2X0.09

=0.18

all i know is that it would not be 13.9

Answer:

12in

Step-by-step explanation:

this is the only subject i'm good at in math XDDD.

Answer:

(x+9)(x+9)

Step-by-step explanation:

Let's factor x2+18x+81

x2+18x+81

hope this help xxx