Suppose a charity received a donation of $23.3 million. If this represents 58% of the charity's donated funds, what is the total amount of its donated funds? Round your answer to the nearest million dollars.

Answer:

There are 40 tables.

Step-by-step explanation:

Since we know that there are 9 times as many chairs, then there are tables, all we have to do is divide the number of chairs by 9, and we get the answer 40.

Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².

To convert the acceleration from meters per second squared (m/s²) to inches per second squared (in/s²), we need to use the conversion factor between the two units.

1 meter is equal to 39.37 inches.

To convert the units, we can set up the following conversion factor:

1 m/s² = (39.37 in/m)^2 = 1550.0031 in/s²

Now, we can multiply the given acceleration in m/s² by the conversion factor to obtain the acceleration in in/s²:

Acceleration in in/s² = 9.81 m/s² * 1550.0031 in/s²

Acceleration in in/s² ≈ 15222.7568 in/s²

Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².

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The normal distribution shows that the value of P(x > 2) will be 0.0228.

mean = 20

standard deviation = 4.

x = 28

We need to find P(x > 28)

Put the values in the formula,

P[(z < (28 - 20)/4]

= (z < 2)

z score is 2

Using z table, we get,

P(z < 2) = 0.97725

Now P(z > 2) = 1 - P(z < 2)

Now P(z > 2) = 0.0228

Hence, P(z > 2) = 0.0228

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Answer:

B

Step-by-step explanation:

Answer:70-30=?

Step-by-step explanation:

Given that the person is colorblind, the likelihood that they are male is around 0.926, or 92.6%.

As per the question given,  

Let's use Bayes' theorem to solve this problem.

Let M be the event that the person is male, and C be the event that the person is color-blind. We want to find the probability P(M|C), which is the probability that the person is male given that they are color-blind.

Using Bayes' theorem, we have:

P(M|C) = P(C|M) * P(M) / P(C)

We know that P(M) = 0.5, since 50% of the population are men. We also know that P(C|M) = 0.05, since 5% of men are color-blind. To find P(C), we can use the law of total probability:

P(C) = P(C|M) * P(M) + P(C|F) * P(F)

where F is the event that the person is female. We know that P(F) = 0.5, since 50% of the population are women, and we also know that P(C|F) = 0.004, since 0.4% of women are color-blind.

Substituting the values into Bayes' theorem, we have:

P(M|C) = 0.05 * 0.5 / (0.05 * 0.5 + 0.004 * 0.5)

= 0.926

Therefore, the probability that the person is male given that they are color-blind is approximately 0.926, or 92.6%.

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The standard deviation of Z is \(SD(Z) = \sqrt{(Var(Z)}) \approx 73.7 lb\)  and  the probability that the total luggage weight is at most 2500 lb is approximately 0.9713.

a. Let X be the total luggage weight of 12 business-class passengers, and Y be the total luggage weight of 50 tourist-class passengers.

Then E(X) = 12(30) = 360, E(Y) = 50(40) = 2000

The variance of X is \(Var(X) = 12(6^2) = 432\)

and the variance of Y is

\(Var(Y) = 50(10^2) = 5000\)

By linearity of expectation, the expected value of the total luggage weight Z = X + Y is E(Z) = E(X) + E(Y) = 2360

The variance of Z is Var(Z) = Var(X) + Var(Y) = 5432.

Therefore, the standard deviation of Z is \(SD(Z) = \sqrt{(Var(Z)}) \approx 73.7 lb\) .

b. Let W be the total luggage weight of all passengers. W is normally distributed with mean

E(W) = E(X) + E(Y) = 2360 lb

and variance

\(Var(W) = Var(X) + Var(Y) = 5432 lb^2\)

The standard deviation of W is \(SD(W) = \sqrt{(Var(W)}) \approx 73.7 lb\)

Then, the probability that the total luggage weight is at most 2500 lb is P(W ≤ 2500) = P[(W - E(W))/SD(W) ≤ (2500 - 2360)/73.7] ≈ P(Z ≤ 1.90), where Z is a standard normal random variable. Using a standard normal table or calculator, we find that P(Z ≤ 1.90) ≈ 0.9713.

Therefore, the probability that the total luggage weight is at most 2500 lb is approximately 0.9713.

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Answer:

the answer is c because decreased by means the symbol minus so y decreased by 24 will be y-24

Answer:

B. because A and B cannot occur at the same time.

Step-by-step explanation:

If two events are mutually​ exclusive, why is ​? Choose the correct answer below.

A. because A and B each have the same probability.

B. because A and B cannot occur at the same time.

C. because A and B are independent.

D. because A and B are complements of each other.

Answer:

\( 2 \sqrt{21} is \: the \: ans\)

Step-by-step explanation:

given;abc is a right angled triangle.

by takingr eference reference angle c

p=ab=? ,h=bc=10 ,b=ac=4.

by the Pythagoras relation we get;

\(p = \sqrt{h {}^{2} - b {}^{2} } \)

so ,p=

\( \sqrt{10 {}^{2} - 4 {?}^{2} } \)

==

=

\( = 2 \sqrt{21} \)

is ans

Answer:

first graph

Step-by-step explanation:

x > n

the graph will have an open circle at the value n , indicating that x cannot equal n ( note solid circle if x ≥ n )

the arrow from n will point in the right direction, indicating values of x greater than n.

the graph representing x > n is the first graph

A cone with a diameter of 16 centimeters has a volume of 320π cubic centimeters, the height of the cone is 15 cm.

A cone should be emptied at a time after being filled with water. The cylinder is filled to a third with each cone. Since there are three of them, the cylinder will be filled. As a result, the volume of a cone is equal to one-third of the volume of a cylinder.

Cone volume is calculated using the method V=1/3πhr².

Given that,

diameter(d) = 16 cm

radius (r) = d/2 = 8 cm

volume = 320π cubic centimeters

πr²h/3 = 320π

or, [π × (8)² × h]/3 = 320π

or,  h = (3 × 320)/(8)²

or, h = 15 cm

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Answer:

255

Step-by-step explanation:

just took the test

Answer:

340

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

\( - 7.375\)

Step-by-step explanation:

43/4=10.75

21/8=2.625

6-10.75= -4.75

-4.75-2.625= -7.375

Answer:

n = 19

Step-by-step explanation:

2n > 36 ( divide both sides by 2 )

n > 18

and

5n < 100 ( divide both sides by 5 )

n < 20

so n > 18 and n < 20

thus n = 19

Using algebraic expression, She needs to sell 150 / 5 = 30 T-shirts.

An algebraic expression is when we use numbers and words in solving a particular mathematical question. For example, the expression 2x + 3y is an algebraic expression, where x and y are variables.

Harper's fixed costs for starting the business are $150.

She earns $10 for each T-shirt sold, and she spends $5 on each T-shirt she buys.

So, her profit is $10 - $5 = $5 per T-shirt.

To break even, Harper needs to earn enough money from selling T-shirts to cover her fixed costs of $150.

Therefore, she needs to sell 150 / 5 = 30 T-shirts.

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Complete question is;

Which statements are true about the lines of symmetry of a regular pentagon? Check all that apply.

A) Every line connects two vertices.

B) Every line connects the midpoints of 2 sides.

C) Every line bisects a vertex angle.

D) Every line bisects a side.

E) Every line is perpendicular to a side.

Answer:

C: Every line bisects a vertex angle.

D: Every line bisects a side.

E: Every line is perpendicular to a side.

Step-by-step explanation:

A shape will have a line of symmetry when after the perpendicular line is drawn through from one vertex to the centre of one side, it can be folded and the folded part will sit perfectly on top in such a way that all the edges match.

Now, a pentagon has 5 sides and by implication from the explanation of line of symmetry above, it has 5 lines of symmetry.

Attached below is an image showing the 5 lines of symmetry of a pentagon.

From the attached image, we can see that the lines of symmetry bisects a vertex angle, it bisects a side and is perpendicular to a side.

Thus correct answer is Options C, D & E

Answer:

Step-by-step explanation:

Answer:

The population growth rate is of 1.86%.

Step-by-step explanation:

Population growth rate:

Immigration plus births subtracted by emigration and deaths.

In this question, we have that:

Birth: 14.3 per 1000

Death: 11.8 per 1000

Immigrations: 21.6 per 1000

Emigrations: 5.5 per 1000

Rate:

\(\frac{14.3 + 21.6 - 11.8 - 5.5}{1000} = \frac{18.6}{1000} = 0.0186\)

As a percentage:

Multiply by 100%. So

0.0186*100% = 1.86%

The population growth rate is of 1.86%.

Answer:

2/3

Step-by-step explanation:

Simplify the following:

3/4 - 1/12

Put 3/4 - 1/12 over the common denominator 12. 3/4 - 1/12 = (3×3)/12 - 1/12:

(3×3)/12 - 1/12

3×3 = 9:

9/12 - 1/12

9/12 - 1/12 = (9 - 1)/12:

(9 - 1)/12

9 - 1 = 8:

8/12

The gcd of 8 and 12 is 4, so 8/12 = (4×2)/(4×3) = 4/4×2/3 = 2/3:

Answer:  2/3

Answer:

The percent she has left in the drink is 75%

Step-by-step explanation:

1 minus \(\frac{8}{32}\) equals \(\frac{24}{32}\) which simplifies to \(\frac{3}{4}\) or 75%.

Answer:

Solve each inequality and combine solutions:

Combination of the two is:

or

Answer: <0<x<10/3

Step-by-step explanation:

Answer:

that's right

Step-by-step explanation:

Answer:

yes 17+7=24 is correct

Answer: The answer is the first choice, <L = <P

Step-by-step explanation:

There are two triangles.

Triangle LMN

         and

Triangle PQR

If both of these triangles are congruent then that must mean that:

<L = <P

<M = <Q

<N - <R

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The ordered pair that is a solution to the equation 3y = -2x - 4 is given as follows:

(1, -2).

The equation for this problem is defined as follows:

3y = -2x - 4

To verify whether an ordered pair is a solution to the equation, it must make the equation true.

When x = 1 and y = -2, we have that:

Hence the ordered pair (1,-2) is a solution to the equation for this problem.

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Given the function f(x) defined as:

We need to obtain the graph after performing two shifts: 1 unit up and 2 units left. For the first shift, we do the transformation:

Now, for the second shift:

Combining these transformations:

Answer: x = 9

Step-by-Step Solution:

Hypotenuse = 15 units

Base = 12 units

Altitude = x units

Using Pythagoras Theorem,

=> Hypotenuse^2 = Base^2 + Altitude^2

(15)^2 = (12)^2 + x^2

225 = 144 + x^2

225 - 144 = x^2

81 = x^2

x^2 = 81

x = √81

=> x = 9

Therefore, Altitude = 9 units

Answer:

\(A = 169\pi \text{ ft}^2\)

Step-by-step explanation:

We can find the area of the circle using the formula:

\(A=\pi r^2\)

↓ plugging in the given radius value

\(A=\pi (13\text{ ft})^2\)

\(\boxed{A = 169\pi \text{ ft}^2}\)