I need to write the fraction 30/70 in simplest form

Answer:

There are 153 parking spaces on each level of the parking garage.

Step-by-step explanation:

Given that a parking garage has 612 parking spaces on 4 levels, and each level has about the same number of parking spaces, to determine the number of parking spaces on each level the following calculation must be performed:

612/4 = X

153 = X

Thus, there are 153 parking spaces on each level of the parking garage.

The probability that at least two of the kittens will be chocolate brown is 0.3087.

We have,

Number of kittens = 5

Each kitten has a 30% chance of being chocolate brown.

So, p = 0.5 and q= 1-0.3 = 0.7

Now, P(X =2) = C( 5, 2) 0.3² (0.7)³

= 5! / 2!3! (0.09) (0.343)

= 10 x 0.03087

= 0.3087

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Answer:

Step-by-step explanation:

Hi, there.

_______

Using the words LESS and TRIPLE:

9 less (-9) than triple x (3x) is (or yields, or is equivalent to) 45.

Hope the answer - and explanation - made sense,

happy studying!!!

The volume of the balloon is 1441.64cm³.

The radius of the balloon is given as 7cm. Also, the equation to calculate the volume is given as c³/6π²

The circumference c will be:

= 2πr = 2 × 22/7 × 7

= 44

The volume will be:

= c³/6π²

= 44³/(6 × 3.14²)

= 85284/(59.1576)

= 1441.64

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Answer:

  360 miles

Step-by-step explanation:

At a constant speed, distance (d) is proportional to time.

  miles/hours = 240 mi/(2 h) = d/(3 h)

Multiplying by (3 h) gives ...

  d = (240 mi)(3/2) = 360 mi

The helicopter travels 360 miles in 3 hours.

Answer: our rectangle is 23 meters of width and is 54 meters long.

Step-by-step explanation:

The perimeter of a rectangle is P = 2*W + 2*L

where W is the width and L is the length.

We know that W = 23m and P = 154m

then:

154m = 2*23m + 2*L

(154m - 2*23m)/2 = L = 54m

So our rectangle is 23 meters of width and is 54 meters long.

Answer:

So that it is safe from insects. insects cant open large boxes bottles or a steel can.

Why manufacturers frequently package their products in tall boxes, bottles, or cans is: To protect the product.

Food packaging is important as it help to protect a product and to as well prevent the product from damaging when been shipped from the seller to buyer.

Manufacturer or producer tend to package their product  so as to keep the product safe and to as improve the product Shelf Life etc.

Therefore why manufacturers frequently package their products in tall boxes, bottles, or cans is: To protect the product.

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Answer:

343

Step-by-step explanation:

7 to the power of 3 = 343

Otherwise known as 7 x 7 x 7 = 343

Answer:

343

Step-by-step explanation:

Sorry its so late, but here is the correct answer:

343

Step-by-step explanation:

7 to the power of 3 = 343

Otherwise known as 7 x 7 x 7 = 343

Hope this helps :)

Option D. The most appropriate comparison for the spread is that the interquartile range for town A, 15 degrees is less than that of B.

The inter quartile is solved as Q3 - Q1

This is seen as

For Town A,

30 - 15 = 15 degrees

For town B

40 - 20 = 20 degrees.

Hence we can see that 15 is less than 20, so town A is less than town B. The answer is option D.

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The number will be 6.00

What do you mean by an important number?

An important number is a number that has a specific significance or use in a particular situation. For example, in mathematics, some important numbers include pi, the square root of two, and the golden ratio. In finance, important numbers might include the interest rate on a loan, the exchange rate between two currencies, or the daily closing price of a stock. In politics, important numbers may include the population of a state or country, the percentage of the population that is registered to vote, or the number of seats a particular political party holds in a legislature.

Given that:

6.27 should be reduce to 1 significant figure

So as we can see before 6 we have number 2

According to rule for rounding 6 will remain 6

Hence the number will be 6.00.

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Answer:

12/5 and 6/25

Step-by-step explanation:

9/10+9/100=.99

12/5+6/25=2.64

2.64>.99

The highest score is 32

The following receive the highest individual score:

Total Players' Points: 8 - Seven players' combined points

= 14.5*8 - 12*7

= 116 - 84

= 32.

The overall Average was decreased as a result of 1 player being excluded. As a result, by answering the question as stated above, you can determine the score of the highest individual score.

Alternative strategy:

The top individual rating

= 14.5 + 2.5*7

= 14.5 + 17.5

= 32

clean air.

Sharma, Divya

reply from a year ago

8 players total score = mean score * players

= 14.5*8 = 116

7 players total score = 7 players' mean score * number of players

= 12*7 = 84

The highest score is equal to 8 players' total score minus 7 players' total score.

= 116 — 84

= 32.

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Answer:

40

Step-by-step explanation:

The angles are around a point

We know that the sum of angles around a point add p to 360 degrees

Also, opposite angles are equal, which makes the angle opposite to 160 also 160.

Thus D = 360-(160+160) = 360-320 = 40 degrees

Hope this helps

Answer:40°

Step-by-step explanation: since, 180° is a straight line, the distance between 180 and 160 is 20… and the angle covers one 20 and another 20 as you can see. One to the top of the straight line and one to the down. So by adding both 20 we get 40°.

The average marginal effect of another year of education on wages is typically 5-15%.

The marginal effect of another year of education on wages is the change in wages resulting from an additional year of education, holding all other factors constant. The exact value of the marginal effect of education on wages depends on various factors such as the country, industry, and individual characteristics. However, on average, research has shown that an additional year of education is associated with a significant increase in wages, typically in the range of 5-15%. The marginal effect of education may be larger for certain groups, such as women and minorities, who face discrimination in the labor market.

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Answer:

\(l=\dfrac{2(S-b)}{P}\)

Step-by-step explanation:

The surface area formula for pyramids is given by :

\(S=\dfrac{1}{2}Pl+b\) ...(1)

We need to arrange the formula for l.

Take b to LHS,

\(S-b=\dfrac{1}{2}Pl\\\\2(S-b)=Pl\ [\text{cross-multiplying}]\\\\l=\dfrac{2(S-b)}{P}\)

So, the expression is \(\dfrac{2(S-b)}{P}\) for the slant height.

To solve this problem, we can use the binomial distribution formula, which calculates the probability of a certain number of successes (in this case, business travelers who say their reason for the trip was an internal company visit) out of a given number of trials (950 business travelers). The formula is:
P(x) = (n choose x) * p^x * (1-p)^(n-x)

Where:
- P(x) is the probability of getting x successes
- n is the number of trials (950 business travelers)
- x is the number of successes we're interested in (between 133 and 171)
- p is the probability of success (19% or 0.19)

To find the probability that between 133 and 171 business travelers say their reason for the trip was an internal company visit, we need to calculate the sum of the probabilities of getting 133, 134, 135,..., 170, 171 successes. This can be quite tedious to do by hand, but fortunately, we can use a calculator or a statistical software program to do it for us.

Assuming that we use a calculator or software, we can find that the probability of getting between 133 and 171 business travelers who say their reason for the trip was an internal company visit is approximately 0.919. This means that out of three random paragraphs of this length, it's likely that one would show the probability of the business travelers who say their reason for the trip was an internal company visit to be between 133 and 171.

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Answer:

The solution is 13

Step-by-step explanation:

f(x) = 5x-2

f(3) = ......?

x = 3

f(3) = 5(3)-2

f(3) = 15-2

f(3) = 13

Answer:

answer is 15 and second one i dont know yet sorry am doing scoo

Step-by-step explanation:

The general form of the equation of the given circle with center A is option A: \(x^2 + y^2 + 6x - 24y - 25 = 0.\)

To determine the general form of the equation of the given circle with center A, we need to complete the square for both the x and y terms.

The general form of a circle equation with center coordinates (h, k) is given by:

\((x - h)^2 + (y - k)^2 = r^2\)

In this case, the center of the circle is A, which is represented by (h, k) = (-3, 12) as given in the options.

Let's examine each option and determine which one matches the general form:

A. \(x^2 + y^2 + 6x - 24y - 25 = 0\)

Completing the square for x:\((x^2 + 6x) + (y^2 - 24y) = 25\)

\((x^2 + 6x + 9) + (y^2 - 24y) = 25 + 9\)

\((x + 3)^2 + (y - 12)^2 = 34\)

B. \(x^2 + y^2 - 6x + 24y + 128 = 0\)

Completing the square for x: \((x^2 - 6x) + (y^2 + 24y) = -128\)

\((x^2 - 6x + 9) + (y^2 + 24y) = -128 + 9\)

\((x - 3)^2 + (y + 12)^2 = -119\)  (Not a valid equation for a circle since the radius squared is negative)

C. \(x^2 + y^2 + 6x - 24y + 128 = 0\)

Completing the square for x: \((x^2 + 6x) + (y^2 - 24y) = -128\)

\((x^2 + 6x + 9) + (y^2 - 24y) = -128 + 9\)

\((x + 3)^2 + (y - 12)^2 = -119\) (Not a valid equation for a circle since the radius squared is negative)

D. \(x^2 + y^2 + 6x - 24y + 148 = 0\)

Completing the square for x: (\(x^2 + 6x) + (y^2 - 24y) = -148\)

\((x^2 + 6x + 9) + (y^2 - 24y) = -148 + 9\)

(\(x + 3)^2 + (y - 12)^2 = -139\) (Not a valid equation for a circle since the radius squared is negative)

From the options given, none of the equations represent a valid circle. Therefore, none of the options (A, B, C, D) correctly represent the general form of the equation of the given circle with center A.

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Answer:

(4,0)

Step-by-step explanation:

(5,3) (1,3)

You need to subtract from the x axis on both coordinates and the y axis in both coordinates.

(5-1) (3-3)

(4,0)

I also checked on a graph as well, so it's correct.

The correct equation for wave speed depends on the type of wave. For transverse waves, the equation is wave speed = frequency x wavelength, while for longitudinal waves, the equation is wave speed = (1/period) x wavelength.

The equation for wave speed depends on the nature of the wave. In the case of transverse waves, such as electromagnetic waves or waves on a string, the correct equation is wave speed = frequency x wavelength. Frequency refers to the number of complete oscillations or cycles of the wave per unit of time, typically measured in hertz (Hz). Wavelength represents the distance between two consecutive points in the wave that are in phase, such as the crest or trough of the wave. The product of frequency and wavelength gives the speed at which the wave propagates through the medium.

However, for longitudinal waves, such as sound waves, the correct equation is wave speed = (1/period) x wavelength. Period refers to the time it takes for one complete oscillation or cycle of the wave, and it is the reciprocal of frequency. The wave speed in longitudinal waves can be calculated by multiplying the wavelength by the inverse of the period.

Therefore, the correct equation for wave speed depends on whether the wave is transverse or longitudinal. For transverse waves, it is wave speed = frequency x wavelength, while for longitudinal waves, it is wave speed = (1/period) x wavelength.

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The volume of the prism will be 9/16 inch³ i.e. D.

What exactly is a prism?

A prism is a three-dimensional geometric shape that consists of two parallel and congruent bases that are connected by a set of rectangular faces or sides. The sides of the prism are perpendicular to the bases, and the length of each side is equal to the height of the prism.

A prism can be classified based on the shape of its bases. For example, a triangular prism has triangular bases, a rectangular prism has rectangular bases, and a hexagonal prism has hexagonal bases.

Now,

Given that side of cube = 1/4 inch

and in given prism there are total 36 cubes

then volume of prism = 36*volume of 1 cube

=36*(1/4)³

=36/64

=9/16 inch³

Hence,

            The volume of the prism will be 9/16 inch³.

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If there are 5 finalists at a singing competition, in 120 ways they can be ordered, if they each take turns singing by applying basic counting principles.

There are 5 finalists at a singing competition and each of them takes turns singing.

We can calculate the number of ways the 5 finalists can take up turn by applying basic counting principles.

Therefore, they can be ordered in n factorial ways, that is n !, where n is the number of finalists who take turns to sing.

Thus, number of ways the finalists can be ordered is = 5!

= 5*4*3*2*1 ( ways )

= 120 ways

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Answer:

about 24.38 feet

Step-by-step explanation:

Graphing window: [0, 30] by [-20, 160]

y1 = 20 + 2x + √(400 + 4x^2)

y2 = 1.6(20 + x + √(400 + x^2))

y1 = y2 when x = 24.3798.

So the length of the smaller garden's longer leg is about 24.38 feet.

The population mean of total calcium in this patient's blood has a 99.9% confidence interval has

lower limit =9.03 mg/dl

upper limit =11.07mg/dl

The value of z at the 99.99% confidence level is 3.29.

⇒Z=3.29

⇒Sm=\(\sqrt{\frac{0.9772}{10} }\)

⇒Sm=0.31

⇒M=10.05

⇒μ=M±Z(Sm)

⇒μ=10.05±(3.29)(0.31)

⇒μ=10.05±1.0199

⇒Lower limt=10.05-1.0199

⇒Upper limit=10.05+1.0199

⇒Lower limt=9.03

⇒Upper limit=11.07

99.9% confidence interval has lower limit =9.03 mg/dl and upper limit =11.07mg/dl

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The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

We have,

To arrange the length of the sides of the quadrilateral from longest to shortest, we need to calculate the length of each side of the quadrilateral using the distance formula:

Distance Formula:

If (x1, y1) and (x2, y2) are two points in a plane, then the distance between them is given by:

d = √((x2 - x1)² + (y2 - y1)²)

Using the distance formula, we can calculate the length of each side of the quadrilateral as follows:

AB = √((4 - (-5))² + (5 - 5)²) = 9

BC = √((2 - 4)² + (0 - 5)²) = √(29)

CD = √((-5 - 2)² + (-2 - 0)²) = √(74)

DA = √((-5 - (-5))² + (5 - (-2))²) = 7

Therefore,

The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

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The finite population correction factor is used in computing the standard error of the sample mean when the sample size is smaller than 5% of the population size.

The finite population correction factor is a adjustment made to the standard error of the sample mean when the sample is taken from a finite population, rather than an infinite population.

It accounts for the fact that sampling without replacement affects the variability of the sample mean.

When the sample size is relatively large compared to the population size (more than half), the effect of sampling without replacement becomes negligible, and the finite population correction factor is not necessary.

In this case, the standard error of the sample mean can be estimated using the formula for sampling with replacement.

On the other hand, when the sample size is small relative to the population size (less than 5%), the effect of sampling without replacement becomes more pronounced, and the finite population correction factor should be applied.

This correction adjusts the standard error to account for the finite population size and provides a more accurate estimate of the variability of the sample mean.

Therefore, the correct answer is option 2: the finite population correction factor is used when the sample size is smaller than 5% of the population size.

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To solve this question we will use the following expression to compute the theoretical probability:

Now, recall that the possible outcomes of rolling a die are 1, 2, 3, 4, 5, and 6. Therefore the probability of obtaining no 6 in each rolling is:

Then, the probability of obtaining no 6's in four rollings is:

Simplifying the above product we get:

Answer: