The ratio of boys to girls in a certain school is 5:6. If there are 420 girls, how many boys are there?
(put solution)​

Answer:

12.7

Step-by-step explanation:

Remember this rule when rounding 5 and below let it go (ex. 12.32 = 12.3) 6 and above give it a shove (ex. 12.47 = 12.5).

The angle of rotation for the described transformation is

The movement or transformation described is form quadrant 4 to quadrant  2.

The transformation will require 180 degrees transformation.

In this type of transformation, both clockwise and the counter clockwise have similar effects

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Answer:

14 months

Step-by-step explanation:

Given

Gator's = $105 monthly charges

Tidal Wave = $375 registration fee + $80 monthly charged

Required

Determine for how many months Gators is cheaper

Let the number of months be x;

Represent the given data, algebraically.

For Gators: 105x

For Tidal Wave: 375 + 80x

Represent the above as a n inequality

Since Gators has to be cheaper; we have

\(105x < 375 + 80x\)

Collect Like Terms

\(105x - 80x < 375\)

\(25x < 375\)

Divide both sides by 25

\(x < 15\)

This implies that Gator's will be cheaper for months less than 15

Hence, the number of months is 14

The line of best fit is a straight line that can be used to predict the

average daily attendance for a given admission cost.

Correct responses:

The given data is presented in the following tabular format;

\(\begin{tabular}{|c|c|c|c|c|c|c|c|c|}Cost, (dollars), x&20&21&22&24&25&27&28&30\\Daily attendance, y&940&935&940&925&920&905&910&890\end{array}\right]\)

The equation of the line of best fit is given by the regression line

equation as follows;

Where;

\(\hat Y\) = Predicted value of the ith observation

b₀ = Estimated regression equation intercept

b₁ = The estimate of the slope regression equation

\(X_i\) = The ith observed value

\(b_1 = \mathbf{\dfrac{\sum (X - \overline X) \cdot (Y - \overline Y) }{\sum \left(X - \overline X \right)^2}}\)

\(\overline X\) = 24.625

\(\overline Y\) = 960.625

\(\mathbf{\sum(X - \overline X) \cdot (Y - \overline Y)} = -433.125\)

\(\mathbf{\sum(X - \overline X)^2} = 87.875\)

Therefore;

\(b_1 = \mathbf{\dfrac{-433.125}{87.875}} \approx -4.9289\)

Therefore;

\(b_0 = \mathbf{\dfrac{\left(\sum Y \right) \cdot \left(\sum X^2 \right) - \left(\sum X \right) \cdot \left(\sum X \cdot Y\right)} {n \cdot \left(\sum X^2\right) - \left(\sum X \right)^2}}\)

By using MS Excel, we have;

n = 8

∑X = 197

∑Y = 7365

∑X² = 4939

∑Y² = 6782675

∑X·Y = 180930

(∑X)² = 38809

Therefore;

\(b_0 = \dfrac{7365 \times 4939-197 \times 180930}{8 \times 4939 - 38809} \approx \mathbf{1041.9986}\)

The equation of the line of best fit is therefore;

The correlation coefficient is given by the formula;

\(\displaystyle r = \mathbf{\dfrac{\sum \left(X_i - \overline X) \cdot \left(Y - \overline Y \right)}{ \sqrt{\sum \left(X_i - \overline X \right)^2 \cdot \sum \left(Y_i - \overline Y \right)^2} }}\)

Where;

\(\sqrt{\sum \left(X - \overline X \right)^2 \times \sum \left(Y - \overline Y \right)^2} = \mathbf{446.8121}\)

\(\sum \left(X_i - \overline X \right) \times \left(Y - \overline Y\right) = \mathbf{-433.125}\)

Which gives;

\(r = \dfrac{-433.125}{446.8121} \approx \mathbf{-0.969367213}\)

The correlation coefficient given to the nearest thousandth is therefore;

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Answer: s is \(> 118 \frac{2}{3}.\)

Step-by-step explanation:

The air balloon will have to fall more than 890 feet for it to reach an elevation below 300 feet. It falls at a rate of 7.5, so 890/7.5=118.6666666666, which is 118 and 2/3. The answer is positive because time can never be negative.

Answer:

\(y = 43\)

Step-by-step explanation:

Given

\(First\ Minute = 7\)

\(Additional\ Minutes = 4\) per minute

Required

Determine the cost of a 10 minutes call

First, we need to determine the expression for the call charges.

Let:

The relationship between x and y is:

\(y = First\ Minute + Additional\ Minutes(Number\ of\ minutes\ - 1)\)

i.e.

\(y = 7 + 4(x - 1)\)

1 is subtracted from the total minutes because the first minute has a fixed rate.

For a 10 minutes call

\(x = 10\)

\(y = 7 + 4(x - 1)\)

\(y = 7 + 4(10 - 1)\)

\(y = 7 + 4*9\)

\(y = 7 + 36\)

\(y = 43\)

Hence, the charges for a 10 minutes call is: Rs.43

Answer:

n = 16

Step-by-step explanation:

The equation is,

→ √n = 4

Solving for the value of n,

→ √n = 4

→ n = 4²

→ [ n = 16 ]

Hence, the value of n is 16.

Answer:

C

Step-by-step explanation:

Multiply the exponents

Reduce the gcf

Hope ghis helps! :)

Answer:

Step-by-step explanation:

cos(20°) = (14/2)/x

x = 7/cos(20°) ≈ 7.45

(Option D.) Shows the distribution of sample means from all possible samples given size.

A sampling distribution is a probability distribution of a statistic computed from a random sample of a population.

It shows the distribution of the sample means from all possible samples given size. This is helpful when trying to understand the behavior of a statistic and to make inferences about the population from which the sample was drawn. The sampling distribution will approximate the shape of the population distribution as the sample size increases. It also provides a way to estimate the variability of the statistic, which can be used in hypothesis testing.

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Answer:

1

Step-by-step explanation:

5% = 5/100 = 0.05

So 5% of 20 = 0.05 x 20 = 1

Answer:

1

Step-by-step explanation:

to find the percentage of a number, multiply the % by the number.

5% converted to a decimal is 0.05. (5/100)

So 20 times 0.05 is 1

Answer:

21x

Step-by-step explanation:

7x is one term. With parenthesis, you have to multiply whatever is on the outside, inside. So that's 3*7x, or 21x.

Hope this helps!

Hey there!

3(7x)

= 3 * 7x

= 7x * 3

= 7x + 7x + 7x

= 14x + 7x

= 21x

Therefore, the answer should be: 21x

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

There are 14 Geometry problems in Vardan's homework assignment.

The number of geometry problems in Vardan's homework assignment, we need to calculate 58 1/3 percent of the total number of problems.

First, let's convert 58 1/3 percent to a decimal by dividing it by 100:

58 1/3 percent = 58.33/100 = 0.5833

Next, we multiply the decimal by the total number of problems:

Number of geometry problems = 0.5833 * 24

To calculate this, we can multiply 0.5833 by 24:

Number of geometry problems = 0.5833 * 24 = 14

Therefore, there are 14 geometry problems in Vardan's homework assignment.

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Answer:

630. Based on the given conditions, formulate: 35 * 6 + 7 + 5 Cal

Step-by-step explanation:

Answer:

Step-by-step explanation:

630 minutes

Answer: Polynomials can be classified by the degree of the polynomial. The degree of a polynomial is the degree of its highest degree term. So the degree of 2x3+3x2+8x+5 2 x 3 + 3 x 2 + 8 x + 5 is 3. A polynomial is said to be written in standard form when the terms are arranged from the highest degree to the lowest degree.

Answer:

5. Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

The surface area of the shape will be 46 yards².

Surface area refers to the total area that the surface of a three-dimensional object covers. It is measured in square units, such as square meters (m²), square centimeters (cm²), square feet (ft²), etc.

The formula for the surface area of the 2 bases is just b*h

12*8=96 yd²

Finding the lateral area:

(10*10)+(10*10)+(12*10)=

100+100+120=

320 yd²

Add the lateral surface area and the surface area of the 2 bases for the total surface area:

320+96=416 yd²

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The probability that a point chosen at random lies on the shaded region is given as follows:

4/7.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The area of the shaded region in this problem is given as follows:

4² = 16.

The total area of the figure is given as follows:

16 + 2 x 1/2 x 3 x 4 = 28.

Hence the probability is given as follows:

16/28 = 4/7.

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Answer:

60 minutes or 1 hour

Step-by-step explanation:

My picture is my worked out solution :)

Answer:

An hour

Step-by-step explanation:

Answer:

x = 20.6°

using cosine rule:

\(\sf cos(x)= \dfrac{adjacent}{hypotensue}\)

using the formula:

\(\sf cos(61)= \dfrac{10}{x}\)

\(\sf x= \dfrac{10}{cos(61)}\)

\(\sf x= 20.6\)

Answer:

x = 20.6 (nearest tenth)

Step-by-step explanation:

Trigonometric ratios

\(\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}\)

where:

To find the value of x in the given diagram use the cosine ratio.

From inspection of the given diagram:

Substitute the given values into the cosine ratio and solve for x:

\(\implies \cos(61^{\circ})=\dfrac{10}{x}\)

\(\implies x=\dfrac{10}{\cos(61^{\circ})}\)

\(\implies x=20.626653...\)

\(\implies x=20.6\; \sf (nearest\;tenth)\)

Therefore, the value of x to the nearest tenth is 20.6.

Answer:

$0.04 per ounce

Step-by-step explanation:

To find the unit rate, divide $2.56 by 64 to find the price per ounce. 2.56/64 = 0.04

So, the unit rate is $0.04 per ounce

Answer:

$0.04/oz

Step-by-step explanation:

Unit rate means $ per unit, so here it would be $ per oz.

2.56/64

= (256/64)/100

= 4/100

= 0.04

So the unit price is $0.04/oz.

Answer:D

Step-by-step explanation:

please mark brainliest

Answer:

y=-3/4x+5

Step-by-step explanation:

3x+4y>20

4y>-3x+20

y>-3/4x+5

The quotient of  10⁻⁴/10² is 10⁻⁶

Quotient is the result obtained by dividing one quantity by another. It represents the value that is obtained after division.

For example, if you divide 20 by 2, the quotient is 10 because 20 divided by 2 equals 10.

Division law states that:

10ᵃ / 10ᵇ = 10ᵃ⁻ᵇ

In this case have:

10⁻⁴/10² = 10⁻⁴⁻²   (Division law)

10⁻⁴/10² = 10⁻⁶

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Step-by-step explanation:

i think 16b+a+10 is the answer