Intellectually gifted people score in the top _____ percent on a standard IQ test.
A. 10
B. 5-10
C. 5
D. 1-2

Answer:

x = 6.5 units

Step-by-step explanation:

The 2 given squares are the on the legs of the right triangle with hypotenuse x

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 legs , then

x² = 13 + 29.25 = 42.25 ( take square root of both sides )

x = \(\sqrt{42.25}\) = 6.5 units

A tip of 18% was given to the restaurant after the meal and tax to the nearest percentage.

Cost of the food = $25.30

Tax on the food cost = 8%

Tax amount

= 8% of 25.30

= 0.08  × 25.30

= 2.204

Total cost of food before tip = 25.30 + 2.204 = $27.504

Tip given = 32.24 - 27.504 = 5.036

Tip percentage

= 5.036 / 27.504 × 100%

= 18.31%

≈ 18%

Hence a tip of 18% was given to the restaurant after the meal and tax to the nearest percentage.

Percentage increases and decreases are calculated by computing the difference between two numbers or by comparing that difference to the starting value.

One can calculate how significantly the initial value has changed mathematically by dividing the result by the starting value and using the absolute value of the difference between the two values.

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The probability that 5 different integers randomly chosen from between 20 and 69 each have a different tens digit is 0.0000022.

To find the probability that 5 different integers randomly chosen from between 20 and 69 (inclusive) each have a different tens digit, we need to calculate the total number of favorable outcomes and divide it by the total number of possible outcomes.

First, let's determine the total number of possible outcomes. The range of integers between 20 and 69 (inclusive) contains 50 numbers. Therefore, there are 50 choices for the first number, 49 choices for the second number, 48 choices for the third number, 47 choices for the fourth number, and 46 choices for the fifth number. So, the total number of possible outcomes is:

50 * 49 * 48 * 47 * 46 = 54,512,400

Now, let's calculate the total number of favorable outcomes. We want each chosen number to have a different tens digit. There are 5 different tens digits in the range (2, 3, 4, 5, and 6). For the first chosen number, we have 5 choices. For the second number, we have 4 choices remaining (as one tens digit has already been used), for the third number we have 3 choices remaining, for the fourth number we have 2 choices remaining, and for the fifth number we have 1 choice remaining. So, the total number of favorable outcomes is:

5 * 4 * 3 * 2 * 1 = 120

Therefore, the probability that 5 different integers randomly chosen from between 20 and 69 each have a different tens digit is:

120 / 54,512,400 ≈ 0.0000022

This can be expressed as approximately 0.00022% or 1 in 454,270.

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The number of jelly beans that fit in a 2001 Chevy Suburban can be calculated by finding the volume of the car's interior and dividing it by the volume of a single jelly bean.

To find the number of jelly beans that fit in a 2001 Chevy Suburban, we first need to calculate the volume of the car's interior. The volume of a rectangular prism is calculated by multiplying its length, width, and height. In this case, the length of the Suburban is 219.3in, the width is 78.8in, and the height is 75.4in.

Using the formula V = lwh, we can calculate the volume:

V = 219.3in * 78.8in * 75.4in

Next, we need to find the volume of a single jelly bean. Since the question does not provide this information, we will assume a standard jelly bean size.

Once we have the volume of the car and the volume of a single jelly bean, we can divide the car's volume by the jelly bean's volume to find the number of jelly beans that fit.

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Answer:

AB, BD, DC, CA

Step-by-step explanation:

i hope it's right let me know

if it's wrong it's my fault

Answer:

no

Step-by-step explanation:

x must be 6

Answer:

75+325=400/25=16

13 more

16weeks total

And

Step-by-step explanation:

Based on the given table, the common ratio, explicit formula and temperature of the coffee after 15 minutes is 0.98, Tn = 97 × 0.98^(n-1) and 73.1°C

Common ratio, r = second minutes / first minutes

= 95.1 / 97

= 0.98041237113402

Approximately,

r = 0.98

nth term of the sequence, Tn = ar^n -1

Tn = 97 × 0.98^(n-1)

Temperature of the coffee after 15 minutes, T15 = 97 × 0.98^(n-1)

= 97 × 0.98^(15-1)

= 97 × 0.98^14

= 97 × 0.7536419414749019520643907584

= 73.1032683230654893502459035648

Approximately,

T15 = 73.1°C

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The calculated value of the function p(q(x)) when x = 2 is 2

From the question, we have the following parameters that can be used in our computation:

The graph of the functions p(x) and q(x)

The value of p(q(2)) is the value of the function p(x) at x = q(2)

When x = 2 is traced on the graph, we have

q(x) = 1 when x = 2

This means that

q(2) = 1

Next, we have

p(q(2)) = p(1)

When x = 1 is traced on the graph, we have

p(x) = 2 when x = 1

This means that

p(q(2)) = 2

Hence, the value of the function is 2

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Answer:

b)

...............

Make the equations equal and solve for x

For x=0

For x=-1

The solutions are

Graph attached

The area of the waxed hardwood floor is 35/9 yards square.

The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.

Given here: Total area of the floor = 4³/₈ yards² and he waxed 8/9 part of the total area.

Now 8/9 of the total area is

Waxed area= 8/9×35/8   ( 4³/₈ =35/8)

                  =35/9

Thus the area in square units that Jahdiel waxed is 35/9 yards²

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Sorry your system is broken

Answer:

Step-by-step explanation:

The slope of the line is -5, and the y-intercept is 250

Answer:

\(16\ \text{miles}\)

Step-by-step explanation:

In a parallelogram the diagnols bisect each other. So,

\(DE=EB\\\Rightarrow y+2=3y-4\\\Rightarrow 4+2=3y-y\\\Rightarrow 6=2y\\\Rightarrow y=\dfrac{6}{2}\\\Rightarrow y=3\)

\(DE=y+2\\\Rightarrow DE=3+2\\\Rightarrow DE=5\)

\(BD=2DE\\\Rightarrow BD=2\times 5\\\Rightarrow BD=10\)

\(EC=2y-3\\\Rightarrow EC=2\times 3-3\\\Rightarrow EC=3\)

\(AC=2EC\\\Rightarrow AC=2\times 3\\\Rightarrow AC=6\)

The sum of the diagonals is \(BD+AC=10+6=16\ \text{miles}\)

The sum of the lengths of the two trails is \(16\ \text{miles}\).

Answer:

16  Miles

Step-by-step explanation:

Just took the quiz and got it right

Lake Jensen lost the least amount of water at 33.33% so option (A) will be correct.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

For example 1/2 part of any value will be (1/2)×100 %.

Given;

Lake Jensen lost

1/3 into percentage = (1/3)×100 = 33.33%

Lake Parlow lost = 34%

Lake Stockton lost;

147/300 into percentage = (147/300) × 100 = 49%

Hence it is clear among all three lakes Lake Jensen lost the least amount of water at 33.33%

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Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

Given, Returns of the company for the last few years are 5%, 10%, -15%, 20%, -12%, 22%, 8%
Arithmetic Average return:
Arithmetic Average return = (sum of all returns) / (total number of returns)
Arithmetic Average return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Therefore, the arithmetic average return of the company is 2.57%.
Geometric average return:
Geometric average return = [(1+R1) * (1+R2) * (1+R3) * …….. * (1+Rn)]1/n - 1
Geometric average return = [(1.05) * (1.1) * (0.85) * (1.2) * (0.88) * (1.22) * (1.08)]1/7 - 1= 0.13
Therefore, the geometric average return of the company is 13%.
Variance:
Variance = (sum of (return - mean return)2) / (total number of returns)
Mean return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Variance = [(5-2.57)2 + (10-2.57)2 + (-15-2.57)2 + (20-2.57)2 + (-12-2.57)2 + (22-2.57)2 + (8-2.57)2] / 7= 392.12 / 7= 56
Therefore, the variance of the company is 56.
Standard Deviation:
Standard Deviation = Square root of Variance
Standard Deviation = √56= 7.48
Therefore, the standard deviation of the company is 7.48%.

Thus, Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

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Step-by-step explanation:

4x+17=23

4x=23-17

4x=6

x=6/4

Answer:

24 centimetre

hope it is helpful

The Cartesian equation of the line that contains the points A and B, where A is the intersection point of the given plane with the x-axis and B is the intersection point with the z-axis, is x = 1 and z = 3.

To find the Cartesian equation of the line, we need to determine the values of x and z while allowing y to vary freely. Since point A lies on the x-axis, its y-coordinate is 0, so we have x = 1 and y = 0 for point A. Similarly, since point B lies on the z-axis, its y-coordinate is also 0, so we have z = 3 and y = 0 for point B.

Thus, the equation x = 1 represents the line that contains point A, and the equation z = 3 represents the line that contains point B. Since y can vary freely, we do not include it in the equations. Therefore, the Cartesian equation of the line that contains points A and B is x = 1 and z = 3.

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Answer:

Below

Step-by-step explanation:

1. To find the percentage of a number you would need to multiply it by 0. whatever the percent. In this case we are given the percentage and the tip amount, so we can find the original cost of the ride like this :

     2 = 0.2 (x)

Multiply both sides by 10

     20 = 2x

Divide both sides by 2

     10 = x

The original cost of the ride was $10  

2. For this one we already know the cost of the 3 bananas so all we need to find is the cost of 4 oranges

     Each orange = $3.00 / 5

                            = $0.6

For 4 oranges, it would be 0.6 x 4 = $2.4

Adding the price of 4 oranges and 3 bananas together....

    2.4 + 1.5 = $3.9

The total cost of buying 3 bananas and 4 oranges is $3.9

Hope that helps! Best of luck <3

The probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

Let X denote the time required to process a package of five tasks. X is an exponentially distributed random variable with mean 2 minutes.

The probability of X being less than 8 minutes is given by:

P(X ≤ 8) = 1 - P(X > 8)

= \(1 - (1 - e^{(-8/2)}^{5}\)

= 0.963

Therefore, the probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

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Answer: So after solving and simplifying terms equation is\(x^4+10x^3-47x^2-360x+1296\)

Step-by-step explanation: Given we have two equations f(x) =\(x^{2} +4x-32\) and g(x) = \(x-4\)

we have been asked to find ( f +g)(x) that is f(x)+g(x)

So first we add them \(x^{2} +4x-32 + x-4\)

So we have an equation that is: \(x^{2} +5x-36\)

Then we need to multiply both

\((x^2+5x-36)(x^2+5x-36)\)

So we get\(\left(x^2+5x-36\right)^2\)

Distribute parentheses

\(x^2x^2+x^2\cdot \:5x+x^2\left(-36\right)+5xx^2+5x\cdot \:5x+5x\left(-36\right)-36x^2-36\cdot \:5x-36\left(-36\right)\)

On simplifying

\(x^4+10x^3-47x^2-360x+1296\)

So standard form of result is \(x^4+10x^3-47x^2-360x+1296\) .

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Answer:

the answer is 66feet

Step-by-step explanation:

can i get a brainliest plz

The probability of having 7 boys in a family with 7 children is 1 out of 128, as there is only one favorable outcome out of 128 total possible outcomes.

To find the probability, we need to calculate n(E) and n(S).

In this case, event E represents the scenario where all 7 children are boys. The sample space S consists of all possible permutations of boys and girls for the 7 children, which is 2^7 = 128.

This is because each child has 2 possibilities (boy or girl), and we multiply these possibilities for all 7 children.

Since event E includes only one specific outcome (all boys), n(E) is equal to 1. Therefore, both n(E) and n(S) are 1 and 128, respectively. The probability of having 7 boys is given by n(E)/n(S) = 1/128.

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Answer:

\(0.186\)

Step-by-step explanation:

\(\mathrm{Solution,}\\\mathrm{Suppose\ getting\ head\ is\ a\ success\ and\ getting\ tail\ is\ a\ failure.}\\\mathrm{Now,}\\\mathrm{Probability\ of\ success(p)=0.45}\\\mathrm{Probability\ of\ failure(q)=1-p=1-0.45=0.55}\\\mathrm{Number\ of\ times\ experiment\ is\ done(n)=6}\\\mathrm{Number\ of\ success\ desired(r)=4}\\\mathrm{We\ use\ the\ formula,}\\\mathrm{P(r)=nCr\times p^r\times q^{n-r}}\\\mathrm{P(4)=6C4\times 0.45^4\times 0.55^{6-4}}=0.186}\)

\(\mathrm{So,\ the\ required\ probability\ is\ 0.186.}\)

Answer:

A. 0

B. 7

C. 3

D. 9

E.9

F.3

G.1

H.5

J.7

K.5

L.1

It's just a lot of reversing operations and seeing what fits, but if you have more you want to try, just make sure you remember borrowing and carrying numbers because they make a big difference.