A group of students are members of two after-school clubs. One half of the group belong to the math club and three - fifths of the group belong to the science group. Five students are members of both clubs. How many students are in this group?

Answer:

7

Step-by-step explanation:

Because if 1 apple=2$ then she need to sell 20 apples she now has 26$ meaning she has sold 13 of them so 26$

She needs 14 more$ remember the rule 1 apple=2$ so if she needs 14 more $ then that means 7 more apples=14$ And there's your answer 7 more apples.

Hope this helps have a great afternoon:)

Answer:

x=5, y=-10

Step-by-step explanation:

y = x²-10x+15 --- eqn 1

y = -10 --- eqn 2

Sub eqn 2 into eqn 1:

     x²-10x+15 = -10

x²-10x+15+10 = 0

    x²-10x+25 = 0

            (x-5)² = 0

                x-5 = 0

                    x = 5

Given the trigonometry equation expressed as;

We are to simplify for the value(s) of 'x"

Recall from trigonometry identity that:

Substitute the result into the original equation to have:

Solve for the value of "x"

The general solution to the given trigonometry function is:

The probability of having at least one dog adopted is 0.6126

It is given that the probability to adopt a dog is 0.1

The adoption of the dog here clearly follows a Binomial distribution

ⁿCₓ  X  pˣ  X  (1 - p)ⁿ⁻ˣ

where,

n = no. os sample

p = probability of success

x = random variable.

Here the success would be the adoption of a dog, We are given here there were 9 visits

Hence,

n = 9

p = 0.1

1 - p = 0.9

we need to find the probability of the adoption of at least one dog

= P(X ≥ 1)

= 1 - P(X = 0)

Hence we get

P(X = 0)

= ⁹C₀  X  0.1⁰  X  0.9⁹

= 0.3874

Hence,

P(X ≥ 1)

= 1 - 0.3874

= 0.6126

Therefore the probability that at least one dog will be adopted is 0.6126

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The expected number of brewed coffee drinks to be sold is 209.

To find the number of brewed coffee drinks expected to be sold, we need to determine the proportion of brewed coffee drinks in the total number of coffee-based drinks sold.

The given ratio is 4:10:8:5, representing caramel macchiato, café latte, brewed coffee, and café americano, respectively.

To calculate the proportion of brewed coffee drinks, we can consider the ratio as fractions:

Proportion of brewed coffee drinks = 8 / (4 + 10 + 8 + 5) = 8 / 27

Now, we can find the number of brewed coffee drinks by multiplying the proportion by the total number of coffee-based drinks sold:

Number of brewed coffee drinks = (Proportion of brewed coffee drinks) * (total number of drinks)

Number of brewed coffee drinks = (8 / 27) * 710

Rounding off the answer to the nearest whole number, we get:

Number of brewed coffee drinks = (8 / 27) * 710 ≈ 209

Therefore, it is expected that approximately 209 brewed coffee drinks will be sold.

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Step-by-step explanation:

9x+21=11x-1 (corresponding angle)

-2x=-22

x=11

11x-1+5y-5=180

11*11+5y-6=180

121+5y-6=18

5y+115=180

5y=180-115

5y=65

y=13

Answer:

a) (3,7) b) 35

Step-by-step explanation:

He paid 0.0012% of his total wealth increase as federal tax.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. We can write -

y = f(x)

y' = dy/dx = (d/dx)[f(x)]

We have Mr. Bezos, who paid 1.4 million in federal taxes between 2006 -2018. His net worth increased by 127 billion dollars during this time span.

Assume that he paid [x]% of money to federal taxes. Then, we can write -

1.4 x 1,000,000 = (x/100) x 127 x 1000,000,000

1.4 = (x/100) x 127000

x = (1.4 x 100)/(127000)

x = 1.4/1270

x = 14/12700

x = 0.0012%

Therefore, he paid 0.0012% of his total wealth increase as federal tax.

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Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\\)

From the question the points are

F(6, 9) and G(4, 14)

The distance between them is

\( |FG| = \sqrt{ ({6 - 4})^{2} + ({9 - 14})^{2} } \\ = \sqrt{( { - 2})^{2} + ({ - 5})^{2} } \\ = \sqrt{4 + 25} \\ = \sqrt{29} \: \: \: \: \: \: \: \: \\ = 5.3851...\)

We have the final answer as

Hope this helps you

Answer:

To find the length of the intercepted arc, we need to use the formula:

length of intercepted arc = (central angle / 360°) x 2πr

where r is the radius of the circle.

Given that the central angle is 110° and the radius is 15 feet, we can plug in these values into the formula and get:

length of intercepted arc = (110° / 360°) x 2π x 15 feet

length of intercepted arc = (0.3056) x (30π) feet

length of intercepted arc ≈ 9.17 feet

Therefore, the length of the intercepted arc is approximately 9.17 feet.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other

What is an equivalent ratios?

A ratio compares two quantities named as antecedent and consequent, by the means of division. For example, when we cook food, then each ingredient has to be added in a ratio. Thus, we can say, a ratio is used to express one quantity as a fraction of another quantity.

Two ratios are equivalent to each other if one of them can be expressed as the multiple of the other. Hence, to get the equivalent ratio of another ratio, we have to multiply the two quantities (antecedent and consequent) by the same number.

Given ratios are 2:1 and 3:1

we can write it as 2/1 and 3/1.

The lcm of 2 and 3 is 6.

Multiply denominator of both ratio with 6, we get

2/6 and 3/6 And we can see both the ratios are not equal.

Hence, there are not equivalent ratios.

4:1 and 8:3 are equivalent ratios -----> is false, because 4:1 is equivalent to 8:2

11:2 and 2:11 are equivalent ratios------> is false (because, are reciprocal ratios, not equivalent ratios)

3:1 and 9:3 are equivalent ratios ------> is true

because 3:1 multiply both sides by 3 -----> 3*3:1*3=9:3

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Answer:

\(x^{(\frac{1}{5})}\)

Step-by-step explanation:

The expression \(\sqrt[x]{y^z}\) can always be be written as its exponential form compatriot \(y^{(\frac{z}{x})}\).

The integral of ∫[8s 8sin^2(s)]ds is 4s^2 - 4cos(2s) + C, where C represents the constant of integration.

The integral ∫[8s 8sin^2(s)]ds evaluates to 4s^2 - 2s - 4sin(s) + C, where C is the constant of integration.

To evaluate the integral, we can use the linearity property of integration and integrate each term separately. The integral of 8s with respect to s is (8/2)s^2 = 4s^2. The integral of 8sin^2(s) can be rewritten using a trigonometric identity as 8(1/2)(1 - cos(2s)) = 4(1 - cos(2s)).

Adding the two integrals together, we get 4s^2 - 4cos(2s) + C. Since the integral is indefinite, we include the constant of integration, denoted by C.

To check our answer, we can differentiate the result. Taking the derivative of 4s^2 - 4cos(2s) + C with respect to s, we obtain 8s + 8sin(2s), which matches the original integrand, confirming the correctness of our solution.

Therefore, the integral of ∫[8s 8sin^2(s)]ds is 4s^2 - 4cos(2s) + C, where C represents the constant of integration.

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Answer:

The answer is "A 10 units down traduction, following by 8 pieces right traduction".

Step-by-step explanation:

Even as the changed image is similar to the original picture in rotation, reflections, and translations, so every point would be modified so that the examination of each point will provide several changes performed.

Consideration of paragraph A(-6, 4).

When a point (x, y) k is transferred down, it becomes (x, y-k).

So when 10 units are converted to A, it becomes (-6, -6).

When the point (x, y) k units are translated, it becomes (x+k and y)

This manner, it gets 8 units (-6, -6) to the right point (2, -6)

These are the A' coordinates.

Thus, quadrilateral ABCD was subjected to 10 further units of translation and 8 to the left. translations .

The expression that should be used to calculate the final cost of the gas grill is: Final cost = (1 - 0.4)*199 * 1.06.

What is percentage?

Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".

To calculate the final cost of the gas grill, we need to find the discounted price after the 40% off and then add the sales tax of 6%.

The discounted price can be calculated by subtracting 40% of the original price from the original price:

Discounted price = original price - 40% of original price

Discounted price = 199 - 0.4*199

Discounted price = 119.4

The final cost can be calculated by adding the sales tax of 6% to the discounted price:

Final cost = discounted price + 6% of discounted price

Final cost = 119.4 + 0.06*119.4

Final cost = 126.38

So, the final cost of the gas grill after the sale and sales tax is $126.38.

Therefore, the expression that should be used to calculate the final cost of the gas grill is:

Final cost = (1 - 0.4)*199 * 1.06.

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Coefficient of correlation of 0.65 indicates a moderate correlation between the two variables."In summary, a coefficient of correlation of 0.65 suggests a moderate correlation between two variables, and it indicates that 65% of the variation in one variable can be explained by the other.

The correct statement is A

A coefficient of correlation of 0.65 indicates that 65% of the variation in one variable is explained by the other. This means that the two variables are moderately correlated with each other. However, it does not necessarily indicate a causal relationship between the variables. The coefficient of determination, which is the square of the correlation coefficient, is 0.42. This means that 42% of the variance in the dependent variable can be explained by the independent variable.

The coefficient of nondetermination, which is 1 minus the coefficient of determination, is 0.58. This means that 58% of the variance in the dependent variable cannot be explained by the independent variable.The statement "Almost no correlation because 0.65 is close to 1.0" is incorrect because a coefficient of correlation of 0.65 indicates a moderate correlation, not no correlation.

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Answer:

The coordinates of k are (-2,-1)

Step-by-step explanation:

Here, we are interested in calculating the coordinates of point k.

Mathematically, we will use the internal division formula for this;

This would be;

(x,y) =( nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)

where m = 1 , n = 4

x1 = -2 , x2 = 8

y1 = -4 , y2 = 11

we now make the substitutions into the formula;

(x,y) = 4(-2) + 1(-2)/(1+4) , 4(-4) + 1(11)/(4 + 1)

(x,y) = (-8-2)/5 , (-16 + 11)/5

(x,y) = -10/5 , -5/5

(x,y) = (-2, -1)

Answer:

£15

Step-by-step explanation:

Set up a proportion, where x is €20 in pounds

\(\frac{3}{4}\) = \(\frac{x}{20}\)

Cross multiply and solve for x:

4x = 60

x = 15

So, €20 is equal to £15

Answer:

Slope is not defined.

Step-by-step explanation:

If \((x_1,y_1)\) and \((x_2,y_2)\) are two points on a line then the slope of the line is given by \(\frac{y_2-y_1}{x_2-x_1}\)

Now find the slope of the side of a square such that two adjacent vertices of a square are A(2, 3) and B(2, 8).

Take \((x_1,y_1)=(2,3)\,,\,(x_2,y_2)=(2,8)\)

Slope of the line \(=\frac{8-3}{2-2}=\frac{5}{0}\)

Here, \(\frac{5}{0}\) is not defined.

So, slope is not defined.

Answer:

TRUST ME I PUT UNDEFINED AND THATS WRONG BEATCHES

the answer is zero and undefined. because the given is undefined, and to form a square, the 4 angles must be equal to 90, and a perpendicular line to to a line that has an undefined slope is zero, so 2 edges have a zero slope and 2 edges have an undefined sloped. PERIODT

Step-by-step explanation:

Answer:

18- 8.00

19-22.74

20-4.47

Step-by-step explanation:

18- 3.79×2= 7.58

7.58 rounded is 8.00

19- 3.79×6= 22.74 not rounded

20- 0.946×4.73= 4.47458

4.47458 simplified is 4.47

The Frequency is the number of scores within each interval, while the cumulative frequency is the sum of all frequencies up to that interval.

To compute for the frequency distribution table for the given test results of 40 students, we need to follow these steps:

Step 1: Arrange the data in ascending order

Step 2: Determine the range (the difference between the highest and lowest scores)

Step 3: Decide on the number of class intervals

Step 4: Determine the class interval width (the range divided by the number of class intervals)

Step 5: List down the class limits for each interval

Step 6: Tally the scores for each interval

Step 7: Determine the frequency (number of scores) for each interval

Step 8: Create a table showing the class limits, tally marks, frequency, and cumulative frequency

the class intervals are 50-54, 55-59, 60-64, and so on.

The class interval width is 5 since the range is 29 and we want to have 6 class intervals.

The class limits are determined by adding 0.5 to the lower class limit and subtracting 0.5 from the upper class limit to avoid overlap.

The tally marks are used to keep track of the number of scores falling within each interval.

The frequency is the number of scores within each interval, while the cumulative frequency is the sum of all frequencies up to that interval.

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Answer:

(2y+3)(y^2+7)

Step-by-step explanation:

2y^3  + 3y^2        + 14y +21

Factory^2 from the first group and    7 from the second group

y^2(2y+3)     + 7(2y+3)

Factor out (2y+3)

(2y+3)(y^2+7)

Answer:

If s₃ is the length of the 3rd side, the possible values are in the interval.

5 < s₃ < 19

Step-by-step explanation:

For a triangle, we know that the sum of any two sides is always larger than the other side.

So if a triangle has 3 sides:

s₁, s₂, and s₃, we have:

s₁ + s₂ > s₃

s₁ + s₃ > s₂

s₂ + s₃ > s₁

In this case, we know that two sides are:

s₁ = 7

s₂ = 12

And we want to find the possible values of s₃.

Then if we use the above inequalities, we get:

7 + 12 > s₃

7 + s₃ > 12

12 + s₃ > 7

With the first one we get:

19 > s₃

Now we can rewrite the other two as:

s₃ > 12 - 7 = 5

s₃ > 7 - 12 = -5

The first one is more restrictive than the second:

s₃ > 5 > -5

So we can use only the first one.

Then the two inequalities are

s₃ > 5

s₃ < 19

Then the range is:

5 < s₃ < 19

This means that any value between 5 and 19 can be a possible length of the third side (5 and 19 are not possible lengths)

Answer:The answer is x > -1

Step-by-step explanation:

The person's survey that the most people drink at least 64 ounces of water is Douglass.

In the first case, Joes reported that 14 of the 36 people he surveyed drink at least 64oz. of water. This will be:

= 14/36

= 0.389

Nicole reported that 2/5 of the people she surveyed drink at least 64oz. of water. The decimal will be:

= 2/5

= 0.40

Douglas reposted that 0.55 of the people he surveyed drink at least 64oz of water.

From the information, Douglass has the highest decimal.

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Answer:

the last bullet point I guess is the answer

Answer:

The total score of Rayna's hand is described below in details.

Step-by-step explanation:

Start at 0. Combining a positive integer is a simplistic addition. Add 3 to get 3.

Combining a negative integer is like deducting : 3 + (-5) = 3 - 5 = -2.

Add 9, using 9 steps ahead, on the number line, to get 7.

Add -6, by deducting 6, to get 1.

Rayna's total composition is 1.

As for part 2, Rayna obtaining two more cards, which doesn't change his final record ...

Unless he got 2 zeroes, or he got pair cards with different symbols but similar magnitudes, such as 1 and -1.

The sign of a number is whether it is negative or positive. The magnitude (total value) of a number is how far that amount is from zero. The magnitude of a product is never negative.

The 2 cards do not change Rayna's point total, because their influences eliminate each other out. For instance, a 1 would move him one move ahead, on the number line, and a -1 would produce him one move behind, on the number line.