Write a fraction in simplified form that expresses the ratio of 0.27 to 0.06.

The line of reflection is given as follows:

Reflection across x = 4.

The coordinates of the original shape are given as follows:

A(-2, 5), B(-2, 8), C(2, 8), D(2, 5), E(0,3).

The coordinates of the reflected shape are given as follows:

(10, 5), (10, 8), (6, 8), (6,5), (8,3).

Comparing the coordinates of the original shape and the reflected shape, we have that:

As the x-coordinates were changed, not just the sign but the value, we have that the figure was reflected over a vertical line, which is given by x = 4.

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The value of y is 41 using Linear Relationship.

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Both a graphical representation of a linear connection, in which the variable and constant are connected by a straight line, and a mathematical representation, in which the dependent variable is determined by multiplying the independent variable by the slope coefficient and a constant.

A polynomial or non-linear (curved) connection can be contrasted with a linear relationship.

In the relation when x = 1 y = 5 and x=2 y = 14

So for 1 increse in x y is incresing by 9

so from x=4 y= 32 to x= 5

Y will be 32 + 9 = 41

The value of y is 41 using Linear Relationship.

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Answer:

A. 21

Step-by-step explanation:

Recall: inscribed angle in a semicircle equals 90°

m<K is an inscribed angle in a semicircle = (4x + 6)°

Therefore,

4x + 6 = 90°

Solve for x. Subtract both sides by 6

4x + 6 - 6 = 90 - 6

4x = 84

Divide both sides by 4

4x/4 = 84/4

x = 21

The probability that no one in a family of five will be hospitalized in a year 0.2373 .

Let P(E) denote the probability of being hospitalized during a year and P'(E) the probability of not being hospitalized during a year

Then , using equation (1) , we get

          \(0.25+P'(E)=1\\P'(E)=1-0.25\\P'(E)=0.75\)

The probability that no one in a family of five will be hospitalized in a year is equal to \((P'(E))^n\) where n is the number of member .

   \((P'(E))^n=(0.75)^5\\(P'(E))^n=0.2373\)

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Answer:

? = 92°

Step-by-step explanation:

the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°

Answer:

200?

Step-by-step explanation:

Answer:

hello your question is incomplete  below is the complete question

answer : 18%

Step-by-step explanation:

x = percentage using illicit drugs

sample size = 5000

number of persons with a yes = 1200

also management knows that 30% uses carpool

∴P ( yes ) = P( H and yes to carpool ) + P( T and yes to illicit drug use )

1200 / 5000 =  (0.5  * 0.3 ) + ( 0.5 * x )

 0.24 = 0.15 + 0.5 x

hence x ( percentage using illicit drug ) = ( 0.24 - 0.15) / 0.5 =  0.18 = 18%  

Answer:

The required answer must be X = -8

The mean of the distribution used in this problem is 3.5.The answer is B. 3.5.

To find the mean of the distribution used in this problem, we need to calculate the expected number of troubles that can be repaired on the same day out of the first five reported. The likelihood of a trouble being repaired on the same day is given as 0.70.

The expected number of troubles repaired on the same day can be calculated by multiplying the probability of each event by the number of trials. In this case, we have five trials (the first five troubles reported) and a probability of 0.70 for each trial.

Expected number of troubles repaired on the same day = Probability of repair on the same day * Number of trials

= 0.70 * 5

= 3.5

This means that, on average, out of the first five troubles reported, we can expect 3.5 of them to be repaired on the same day based on the past data and the given likelihood. So, the correct answer is B. 3.5.

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Answer:

Slope = 0.25

Step-by-step explanation:

m= -3 / -12 = -1 / -4 = 0.25

distance between x's = 12

distance between y's = 3

hope this helped thank you!

Answer:

5x-2x

Step-by-step explanation:

4x-x = 3x

so,

5x-2x = 3x

The equivalent expression would be; 5x-2x

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

We are given that the expression as; 4x - x

We need to find an equivalent expression.

Therefore, solving further;

4x-x = 3x

Thus, we can also create one expression as;

5x-2x = 3x

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Answer:

Approximately 68%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 1, standard deviation = 0.05.

Estimate the percent of pails with volumes between 0.95 gallons and 1.05 gallons.

0.95 = 1 - 0.05

1.05 = 1 + 0.05

So within 1 standard deviation of the mean, which by the Empirical Rule, is approximately 68% of values.

68.29% of pails have volumes between 0.95 gallons and 1.05 gallons.

Z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

\(z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \sigma=standard\ deviation\)

Given that:

μ = 1, σ = 0.05

\(For\ x=0.95:\\\\z=\frac{0.95-1}{0.05} =-1\\\\For\ x=1.05:\\\\z=\frac{1.05-1}{0.05} =1\)

P(0.95 < x < 1.05) = P(-1 < z < 1) = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 68.29%

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Answer:

C - $1165.49

Step-by-step explanation:

We have that the probability of a driver getting into an accident = 7.1% i.e. 0.071.

Now, the average cost of an accident = $14,886.05

Then, the expected cost of an accident =  $14,886.05 × 0.071 = $1056.91

As, the overhead cost for insurance = $110

Therefore, the driver's insurance premium = $1056.91 + $110 = $1166.91

Since, the closest option to $1166.91 is option C.

Hence, the driver's insurance premium will be $1165.49.

the driver's insurance premium will then be,

⇒ $1166.91

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Now, The following can be deduced from the question:

Average cost of an accident = $14,886.05

Probability of a driver getting into an accident = 7.1%

                                                                       = 7.1/100

                                                                       = 0.071.

Overhead cost for insurance = $110

Therefore, the expected cost of an accident will be calculated as:

= Average cost of an accident × Probability of a driver getting into an accident

= $14,886.05 × 0.071

= $1056.91

Therefore, the driver's insurance premium will then be:

= $1056.91 + $110

= $1166.91

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Answer:

4 : 5

Step-by-step explanation:

you can divide 120 and 150 by 30 and 8 and 10 by 2.

120/30 = 4

150/30 = 5

8/2 = 4

10/2=5

Answer: 4:5

Step-by-step explanation:

Answer:

z > -4/5

Step-by-step explanation:

-9 - (2z - 7) > -2z - 6 - 5z

Get rid of the parenthesis

-9 - 2z + 7 > -2z - 6 - 5z

Combine like terms:

       -2 - 2z > -7z - 6

       +2       >       +2

Add 2 to both sides.

 -2z > -7z - 4

 +7z > +7z

Add 7 to both sides.

5z > -4

Divide both sides by 5 to get z.

z > -4/5

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

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Answer: 7725.5775

Step-by-step explanation:

d=27

r=d/2=27/2=13.5

the volume of the spherical balloon= 3.14*r^3

                                                       = 3.14*(13.5)^3

                                                       = 7725.5775

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Answer:

\(2,8,14,20\)

Step-by-step explanation:

If the first term of a sequence is \(2\) and the common difference is \(6\), then each successive term in the sequence is \(6\) more than the previous term:

\(a_n=6n-4\)

Therefore, the first term is \(2\), followed by \(8\), \(14\), and \(20\).

Using Law of Sines

The Law of Sines states that there is a proportional relationship between the angles and sides of an oblique triangle.

We see that we have two angles that we need to solve, and can label our triangle as such:

The angles are capital A, B, and C, whereas our sides are lowercase a, b, and c.

We need to find the angles first, and we can do so with our knowledge of one angle and the side directly across from it. We know both capital C and lowercase c, so let's create a proportion.

When we create a proportion, we cross-multiply our values.

We need to get B by itself since that is what we are solving for.

Now, we use the inverse of sin, plug in the value, and solve for sin(B). You'll need a calculator for this part.

This gives us the value for angle B, or angle y in the given diagram.

Now, we can simply add our two solved angles together and subtract them from 180 to find our third angle.

This means that our angle x is 60 degrees.

Finally, we need to set up one last proportion to find a, or the side adjacent to the right angle and vertical.

Once again, we cross multiply:

Then, we need to get a by itself.

Then, we divide the two values and solve for a. Use a calculator and plug it in to solve.

Therefore, side a equals 4.

Our triangle will look like this:

Therefore, this is the final answer.

The angles are:

90 degrees

x = 30 degrees

y = 60 degrees

The sides are:

8 units

4 units

Unknown side = 4 units

Answer:

The answer is 1.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

-9/6  ÷ -3/2 = -9/6 * -2/3 <--- Multiply by -3/2's reciprocal.

-9/6 * -2/3 = 18/18

Final Answer: 1

I hope this helps! :)

9514 1404 393

Answer:

  13120

Step-by-step explanation:

The sum of terms of a geometric series is ...

  Sn = a1·(r^n -1)/(r -1)

You have n=8, a1=4, r=3, so the sum is ...

  S8 = 4·(3^8 -1)/(3 -1) = 2(3^8 -1) = 13,120

Answer:

Step-by-step explanation:

hope it helps u too

Answer:

-1 6/10

is greater than

- 5/3

Step-by-step explanation:

A function with a vertex must switch from increasing to decreasing or vice versa at the vertex. So, the function cannot be only increasing or only decreasing over its entire domain.

Given data ,

A function with a vertex, also known as a vertex form of a quadratic function, is a function of the form f(x) = a(x-h)^2 + k, where (h, k) represents the vertex of the parabola. The vertex is the point on the parabola where it changes direction from increasing to decreasing or vice versa.

It is impossible for a function with a vertex to increase continuously if its whole domain shows an increase in the function. Similar to the last example, a function with a vertex cannot decrease throughout its whole domain because that would imply that the function is constantly decreasing.

Hence , a function with a vertex must switch from increasing to decreasing or vice versa at the vertex, and it cannot be only increasing or only decreasing over its entire domain.

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If Laurie had 8 times as many apples as Bill's 40 apples, the equation would be 40 x 8. 40 x 8 = 320 :)

Answer:

320man zaans

Step-by-step explanation:

Answer:

10%

Step-by-step explanation:

Because 0.1 is equivalent to 1/10 and 10%

Answer:

Step-by-step explanation:

Given parameters:

              1 mile = 6 x 10⁴ inches

Average human hair  = 3 x 10⁻³ inches

Unknown:

How many times longer is a mile than a human hair;

Solution:

 Since we know that a mile 6 x 10⁴ inches , we can compare this quantity to the human hair;

     Number of times  = \(\frac{6 x 10^{4} }{3 x 10^{-3} }\)

     Number of times  = 2 x 10⁴⁺³

     Number of times  = 2 x 10⁷

So, a mile is 2 x 10⁷ times longer than the human hair.

Answer:

The half-life of a radioactive substance is the time it takes for half of the initial amount of the substance to decay. We can use the fact that 8% of the original amount remains after 100 days to determine the half-life of the isotope.

Let's assume that the initial amount of the substance is 1 unit (it could be any amount, but we're assuming 1 unit for simplicity). After one half-life, half of the original amount remains, or 0.5 units. After two half-lives, half of the remaining amount remains, or 0.25 units. After three half-lives, half of the remaining amount remains, or 0.125 units. We can see that the amount of substance remaining after each half-life is half of the previous amount.

We can use this information to set up the following equation:

0.08 = (1/2)^n

where n is the number of half-lives that have elapsed. We want to solve for n.

Taking the logarithm of both sides, we get:

log(0.08) = n*log(1/2)

Solving for n, we get:

n = log(0.08) / log(1/2) = 3.42

So the number of half-lives that have elapsed is approximately 3.42. Since we know that 100 days is the time for three half-lives (from the previous calculation), we can find the half-life by dividing 100 days by 3.42:

Half-life = 100 days / 3.42 = 29.2 days (rounded to one decimal place)

Therefore, the half-life of the radioactive isotope that leaked into the stream is approximately 29.2 days.

Answer:

Step-by-step explanation: