List the first 15 perfect cubes:
23
33
43
53
63
83
93
103
11
12
13
14
153
13
1
1
73
1
1
1 l
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Answer:

140.00%

Step-by-step explanation:

Step 1: Percentage Formula = Number1/Number2 x 100

Step 2: plugin the 427 and 305 to the percentage formula and we get 427/305 x 100 = 140%

What is  

427

out of  

305

as a percentage? = 140.00%

Hope this helped a lot

Plz give brainliest

The probability of making exactly 30 tosses to obtain a total of 15 heads can be expressed in terms of factorials.

To find the probability, we need to consider the specific arrangement of heads and tails within the 30 tosses. In this case, we want exactly 15 heads out of 30 tosses.

The probability of getting a head in a single toss is 1/2, as the coin is fair. Therefore, the probability of getting exactly 15 heads in 30 tosses can be calculated using the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

Where:

- n is the total number of tosses (30 in this case),

- k is the number of successful outcomes (15 heads),

- (n choose k) is the binomial coefficient, calculated as n! / (k! * (n - k)!),

- p is the probability of a successful outcome (1/2 for a fair coin).

For this problem, the probability can be calculated as:

P(X = 15) = (30 choose 15) * (1/2)^15 * (1 - 1/2)^(30 - 15)

Using factorials, the calculation can be simplified. The binomial coefficient (30 choose 15) can be expressed as:

(30 choose 15) = 30! / (15! * (30 - 15)!)

By substituting the values and evaluating the expression, we can find the probability of making exactly 30 tosses and obtaining 15 heads.

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Answer:

The tree is 12 yards tall

Step-by-step explanation:

Scale drawings are a useful tool for representing real-life objects or structures on paper or in digital form. They allow us to create a proportionate, smaller version of the original, which can be useful in a variety of contexts, such as architecture, engineering, and design.

To create a scale drawing, we need to choose a scale, which represents the ratio of the size of the drawing to the actual size of the object. Once we have selected a scale, we can then begin to draw the object, using the appropriate measurements and proportions.

Scale drawings are a way of representing objects or structures in a smaller, proportional size. They can be useful in a variety of contexts, such as in architecture, engineering, and design, where it is important to have an accurate representation of an object or structure. To create a scale drawing, we need to choose a scale, which is the ratio of the size of the drawing to the actual size of the object. For example, if we choose a scale of 1:100, it means that one unit on the drawing represents 100 units in real life.

Once we have chosen a scale, we can begin to draw the object, using the appropriate measurements and proportions. It is important to ensure that the drawing is accurate and proportional, as this will affect the final product. One way to do this is to use a grid, which can help us to keep the proportions consistent. Another way is to use a ruler or compass to ensure that the measurements are precise.

In conclusion, scale drawings are an important tool for representing objects or structures in a smaller, proportional size. By choosing an appropriate scale and using accurate measurements and proportions, we can create a detailed and accurate representation of the original object.

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Answer:

∠ BDC = 37°

Step-by-step explanation:

the central angle BAC is twice the angle on the circumference subtended on the same arc.

∠ BDC = \(\frac{1}{2}\) ∠ BAC = \(\frac{1}{2}\) × 74° = 37°

Answer:

\(2 \sqrt[]{7} , and -2\sqrt[]{7}\)

Step-by-step explanation:

or:

x=5.29150262…,−5.29150262

Using a linear function, the table for her earnings y of producing x bracelets is given as follows:

A linear function is modeled by the following rule:

y = mx + b

In which:

For this problem, we have that:

Hence her earnings are modeled as follows:

y = 5x + 15.

The the numeric values are given as follows:

Then the table for her earnings y of producing x bracelets is given as follows:

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Answer:

x=55*

y=125*

Step-by-step explanation:

In parallel lines, opposite angles are equal to each other so x=55.

In lines, adjacent (side by side) angles always add up to 180 so,

x+y=180

55+y=180

y=180-55

y=125

Answer:

Common difference=5.

The probability that the obstetrician has delivered no child with polydactyly is 0.8187.

To find the probability that the obstetrician has delivered no child with polydactyly, we can use the formula:

P(no polydactyly) = \((1 - P(polydactyly))^{number of births}\)

First, we need to find the probability of a child having polydactyly. This is given as 1 in every 500, which can be expressed as a decimal: 1/500 = 0.002.

Next, we find the probability of a child not having polydactyly: 1 - 0.002 = 0.998.

Now, we can find the probability of the obstetrician delivering no child with polydactyly in 100 unrelated and independent births by raising the probability of no polydactyly to the power of the number of births (100):

P(no polydactyly in 100 births) = (0.998)¹⁰⁰ ≈ 0.8187

So, the probability that the obstetrician has delivered no child with polydactyly is approximately 0.8187.

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Answer:

a decrease by 5/11 I beleive.

Answer:

Aaron travelled about 9 feet underwater

Step-by-step explanation:

We need to work with the information we are given in the question.

there are two stages of Aaron's travel. the first distance was in the air, and the second distance was in the water.

We are given both the total distance travelled and the distance travelled in the air.

To get the distance travelled in water, we subtract the distance travelled in the air from the total distance.

This will be 52 feet - 43 feet = 9 feet

Hence Aaron travelled about 9 feet underwater

Answer:

it should be an 8

Step-by-step explanation:

The initial value in this question y = 8x+6 will be 8 .

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The equation is given as;

y = 8x+6

We can see that the equation contains two terms that are 8x and 6.

The initial value is the first number of the first term in the equation.

Here, the first term is 8x.

Hence, the initial value in this question y = 8x+6 will be 8 .

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Test statistics that are higher than the cutoff point. As a result, we conclude that there are more youths who smoke than 15% and reject the null hypothesis.

Given data;

A study was conducted to determine the proportion of American teenagers between 13 and 17 who smoke. Previous surveys showed that 15% percent of all teenagers smoke. A Gallup survey interviewed a nationally representative sample of 785 teenagers aged 13 to 17. Seventy-one teenagers in the survey acknowledged having smoked at least once in the past week.

To know, does the study provide adequate evidence to conclude that the percentage of teenagers who smoke is now different than 15%?

Let,

The outcome of a hypothesis test conducted on a sample of data from a wider population is predicted using hypothesis testing. This informs the analyst of the validity of his main theory.

The null hypothesis and alternate hypothesis is given below as,

p = 0.15

p ≠ 0.15

The value of \(\hat p\) is given below as,

\(\hat p\) = 71/785

  = 0.0904

The formula to calculate the test statistics is given below as;

\(t = \frac{\hat p - p }{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\)

\(t = \frac{0.0904 - 0.15 }{\sqrt{\frac{0.0904(1-0.0904)}{785} } }\)

t = -5.818

According to the standard normal table's calculations, the critical value at the 0.05 level of significance is 1.96.

The test statistics above the threshold value. As a result, we reject the null hypothesis and come to the conclusion that there are more teenagers who smoke than 15%.

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Answer:

3220

Step-by-step explanation:

To calculate growth, you can use a formula.

If this one year has 4182 Harribears and this represents a 23% growth to the previous year, then 4182 is 123% of the previous years population.

To calculate the previous year, you can calculate 23% of the current years population:

4182 * 0.23 ≈ 962

Now you can subtract this from the current years population:

4182 - 962 = 3220

Meaning the previous year the Harribear population was 3220 bears.

Hope this helps!

Answer:

The answer is (-9, 5). Hope this helps.

The height of the kite is approximately 68.4 ft.

To solve the problem, we can use trigonometry. We know that the string is the hypotenuse of a right triangle, with the height of the kite as one of the legs. The angle of elevation, which is the angle between the string and the ground, is also given. We can use the tangent function to find the height of the kite:

tan(46°) = height / 94

Solving for height, we get:

height = 94 * tan(46°)

Using a calculator, we get:

height ≈ 68.4 ft

Therefore, the height of the kite is approximately 68.4 ft.

We use the given angle of elevation and the length of the string to set up a right triangle with the height of the kite as one of the legs. Then, we use the tangent function to relate the angle to the height of the kite. Finally, we solve for the height using a calculator and round to the nearest tenth as requested.

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Complete Question:

A kite flying in the air has a 94-ft string attached to it, and the string is pulled taut. The angle of elevation of the kite is 46 °. Find the height of the kite. Round your answer to the nearest tenth.

the PERT weighted average is 9 days

PERT can be defined as an estimating technique that uses a weighted average of three numbers to get a final estimate.

The formula for finding the PERT weighted average is given as;

PERT weighted average = (Optimistic + (4 X Most Likely) + Pessimistic)/6

We have;

Substitute the values into the formula

PERT weighted average  = \(\frac{6 + 4(8) + 16 }{6}\)

PERT weighted average  = \(\frac{54}{6}\)

PERT weighted average  = 9 days

Thus, the PERT weighted average is 9 days

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Answer:

4p + 3p

7p

5p + 2p

Step-by-step explanation:

They all add up to 7

Answer:

4p + 3p

5p + 2p

7p

Step-by-step explanation:

If you count all the "p's", you can see that there are 7. Therefore, any expressions that equal to 7 p's is correct, so,

4p + 3p

5p + 2p

7p

Are all correct expressions

Hope this helps :)

Answer:

9

Step-by-step explanation:

The mean is calculated by adding up the scores and dividing the total by the number of scores.

Answer:

Malcom's maximum speed = 200 km/h

Ravi's maximum speed = 320 km/h

Step-by-step explanation:

Let m = Malcom's maximum speed

Let r = Ravi's maximum speed

Average of their maximum speed would be represented as \( \frac{m + r}{2} = 260 \)

\( m + r = 520 \).

Make m the subject of the formula by subtracting r from both sides:

\( m = 520 - r \). Let this be equation 1.

Given that Malcom's speed (m), when doubled is 80 km/h more than that of Ravi (r). This can be expressed as: \( 2m = r + 80 \). This is equation 2.

Plug in (520 - r) into equation 2 to replace m:

\( 2(520 - r) = r + 80 \)

\( 1040 - 2r = r + 80 \)

Solve for r. Subtract 1040 from both sides:

\( 1040 - 2r - 1040 = r + 80 - 1040 \)

\( - 2r = r - 960 \)

Subtract r from both sides

\( - 2r - r = r - 960 - r \)

\( - 3r = - 960 \)

Divide both sides by -3

\( \frac{-3r}{-3} = \frac{-960}{-3} \)

\( r = 320 \)

To find m, plug in the value of r into equation 1.

\( m = 520 - r \). =>Equation 1

\( m = 520 - 320 \)

\( m = 200 \).

Malcom's maximum speed = m = 200 km/h

Ravi's maximum speed = r = 320 km/h

Answer:

greater than

hope this helps! <3

Answer:

HYPOTHESIS

Step-by-step explanation:

Answer:do the penny we did this question in class a while ago and u make a lot more then 1 million

Step-by-step explanation:

pretty sure if u do the math its 5 million if theres 30 days in the month

The larger hose will take 23.33 minutes to fill the pool by itself. This can be determined by solving a system of equations.

It has two expressions of numbers, variables, and operators (such as +, -, x, /) are equal to each other. An equation can be written in a variety of forms, including algebraic, graphical and verbal.

Let x be the time it takes for the larger hose to fill the pool, and let y be the time it takes for the smaller hose to fill the pool. We can set up two equations to solve for x and y.

x + y = 35

(2)(y) = x

y = (1/2)x

We can then substitute this value of y into the first equation to solve for x.

x + (1/2)x = 35

(3/2)x = 35

x = (35)(2/3)

x = 23.33

Since x is the time it takes for the larger hose to fill the pool by itself, we can conclude that it will take 23.33 minutes for the larger hose to fill the pool by itself.

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Answer:

Step-by-step explanation:

(8-10)/2 = -2/2 = -1

(10-10)/2= 0/2 = 0

(-1, 0)

The percentage of the population that does not meet US military enlistment standards is 15.87%.

The provided information is:

Let X represent the adult IQ test results, which are normally distributed with a mean (μ) of 100 and a standard deviation (Σ) of 15.

In addition, the US military requires a minimum IQ of 85.

As a result, the likelihood that a randomly picked adult will not fulfill US military enrollment criteria is: P(X < 85)

The probability can also be written as:

P(X < x) = P(Z < (x - μ)/Σ)

Now we take X = x

Thus,

P(X = 85)

=P(Z) = (85 - 100)/15)

= P(Z) = (-15/15)

=P(Z) =  (-1)

Taking the probability of Z = -1, using the standard normal distribution table  to find the area to the left of a z-score of -1 is approximately 0.1587.

Thus, the required probability is 0.1587. So the percentage of the population does not meet US military enlistment standards is 15.87%.

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Answer:

Step-by-step explanation:

add 2 to both sides to get

\((x-3)^2=-3\)

if u do square root to get rid of exponent, answer is

\(x=\sqrt{3}i+3,\:x=-\sqrt{3}i+3\)

one of the calculators i used to confirm said answer was  x=i√3+3,−i√3+3  but idunno

Quadratic Equations in Single Variable

n²-3n+10=0

2x²+2x+1=0

25b²-16=0

f²-3f+2=0

1/3m +2m=4

a²=225

Linear Equation in single Variable

8-3k=12

5w+5=0

10u-5=8

Linear Equation in Two  Variable

2y-z=9

3r+2e=6

d=3e-7

It should be noted that an equation simply means the expression that's used to show the relationship between the variables.

In this case, the equation has been grouped.

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Group the given equations into two based on observed common properties.

Equations

n²-3n+10=0

8-3k=12

2y-z=9

2x²+2x+1=0

25b²-16=0

3r+2e=6

5w+5=0

f²-3f+2=0

d=3e-7

1/3m +2m=4

10u-5=8

a²=225