89x1230x780
A.85386600
B.7
C.2
D,89

If two states are selected at random from a group of 30 states, the number of possible outcomes if the group of states is selected with replacement or without replacement can be calculated as follows: With Replacement: If the states are selected with replacement, then the total number of possible outcomes is equal to the product of the number of states in the group and the number of states that can be selected again.

The total number of states in the group is 30, and since there are no restrictions on selecting a state again, the number of possible outcomes is given by:30 x 30 = 900. Total possible outcomes with replacement = 900Without Replacement:  If the states are selected without replacement, the total number of possible outcomes is given by the product of the number of states in the group and the number of states that can be selected next. The first state can be selected from the group of 30 states, and once it has been selected, the second state can be selected from the remaining 29 states. Therefore, the total number of possible outcomes is given by:30 x 29 = 870Total possible outcomes without replacement = 870Therefore, if two states are selected at random from a group of 30 states, the number of possible outcomes if the group of states is selected with replacement or without replacement are 900 and 870, respectively.

If the states are selected with replacement, there are 900 possible outcomes, and if the states are selected without replacement, there are 435 possible outcomes.

If the states are selected with replacement, there are 900 possible outcomes. This is because for each selection, there are 30 options, and since there are two selections, the total number of outcomes is 30 * 30 = 900.

If the states are selected without replacement, there are 435 possible outcomes. In this case, for the first selection, there are 30 options, but for the second selection, there are only 29 remaining options. Therefore, the total number of outcomes is 30 * 29 = 870.

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Answer:

The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis. An x-intercept is a point on the graph where y is zero, and a y-intercept is a point on the graph where x is zero.

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

The x-intercept is where a line crosses the x-axis.

The y-intercept is where a line crossed the y-axis.

Answer:

is 364

Step-by-step explanation:

Answer:

x=5,y=2

Step-by-step explanation:

THis are the answer's because in the inequalities u solve them and them u get your answer

The Area of the composite figure = area of the rectangle + area of the triangle = 148.5 cm².

The figure formed by the arrow can be decomposed into a rectangle and a triangle.

The area of the composite figure = area of the rectangle + area of the triangle.

Find the area of the rectangle:

Length = 12 cm

Width = 11 cm

Area of the rectangle = (length)(width) = (12)(11)

Area of the rectangle = 132 cm²

Find the area of the triangle

Base = 11 cm

Height = 15 - 12 = 3 cm

Area of the triangle = 1/2(b)(h) = 1/2(11)(3)

Area of the triangle = 16.5 cm²

Area of the composite figure = area of the rectangle + area of the triangle = 132 + 16.5 = 148.5 cm².

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The term or terms that could be used to describe a gold sample that is completely free of impurities are:

Pure gold: This term indicates that the sample consists solely of gold without any impurities or other elements.

100% gold: This term emphasizes that the sample is entirely composed of gold and contains no other substances.

High purity gold: This term signifies that the gold sample has a high level of purity, indicating minimal or negligible impurities.

Unalloyed gold: This term indicates that the gold sample is not mixed or combined with any other metals or alloys, making it pure and free of impurities.

These terms highlight the absence of impurities and emphasize the high quality and purity of the gold sample.

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Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

1. The implementation that faster is P1 than P2.

2. The global CPI for each implementation are:

Global CPI = (10% x 3) + (30% x 2) + (40% x 1) + (20% x 4) = 1.9

Global CPI = (10% x 2) + (30% x 2) + (40% x 2) + (20% x 2) = 2

3. The clock cycles required in both cases are:

Clock cycles = 1.9 x 1.0E5 = 190,000

Clock cycles = 2 x 1.0E5 = 200,000

P1: 10% x 3 + 30% x 2 + 40% x 1 + 20% x 4 = 1.9 CPI

Execution time P1 = (1.9 x 1.0E5) / 3GHz = 63.33 microseconds.

P2: 10% x 2 + 30% x 2 + 40% x 2 + 20% x 2 = 2 CPI

Execution time P2 = (2 x 1.0E5) / 2.5GHz = 80 microseconds.

Therefore, P1 is faster than P2.

Global CPI = (Percentage of class A instructions x CPI of class A) + (Percentage of class B instructions x CPI of class B) + (Percentage of class C instructions x CPI of class C) + (Percentage of class D instructions x CPI of class D)

For P1:

Global CPI = (10% x 3) + (30% x 2) + (40% x 1) + (20% x 4) = 1.9

For P2:

Global CPI = (10% x 2) + (30% x 2) + (40% x 2) + (20% x 2) = 2

Clock cycles = Global CPI x Instruction count

For P1:

Clock cycles = 1.9 x 1.0E5 = 190,000

For P2:

Clock cycles = 2 x 1.0E5 = 200,000

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A Poisson random variable represents the number of occurrences of an event in a fixed interval of time or space. It is a discrete random variable, which means that it can only take on integer values, starting from zero. Therefore, the smallest numerical value that a Poisson random variable can be is zero.

This means that there is a possibility that the event will not occur at all during the given interval. For example, if we are counting the number of customers who visit a store in an hour, it is possible that no customers show up during that hour, resulting in a Poisson random variable of zero.

However, the probability of this occurring depends on the average rate of the event occurring, which is denoted by the parameter λ in the Poisson distribution. The larger the value of λ, the smaller the probability of a Poisson random variable being zero.

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To have exactly 3 kings in a hand, we need to choose 3 kings out of 4 and 2 non-kings out of 48. This can be done in 4512 ways.


To calculate the number of hands containing exactly 3 kings, we need to use the concept of combinations. We know that there are 4 kings in a deck of 52 cards. To choose 3 kings out of 4, we can use the combination formula, also known as "n choose k," which is written as nCk.

So, the number of ways to choose 3 kings out of 4 is 4C3 = 4.

Next, we need to choose 2 non-kings out of the remaining 48 cards. This can be done using the combination formula again. The number of ways to choose 2 non-kings out of 48 is 48C2 = 1128.

Now, we can use the multiplication principle to find the total number of hands containing exactly 3 kings. We multiply the number of ways to choose 3 kings by the number of ways to choose 2 non-kings:

Total number of hands = 4C3 * 48C2 = 4 * 1128 = 4512.

Therefore, there are 4512 hands that contain exactly 3 kings when 5 cards are randomly chosen from a standard deck.

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Answer:

There are 20 nickels and 12 quarters.

Step-by-step explanation:

20 nickels = 1 dollar.

12 quarters = 3 dollars.

$1 + $3 = $4

Answer:

36

Step-by-step explanation:

A^2+B^2=C^2

10^2+B^2=38^2

We are solving for B squared

So 100+B^2=1444

                      -100

1344 and now take the square root of that number and you have your answer of 36

I hope this helps and have a good night!

The figure 980 inches can be written as 980.0 inches. It contains two non-zero digits and a zero trailing before the decimal point. Hence, it has three significant figures.

Rules to Determine Number of Significant Figures:

There are three fundamental rules that one can use to determine the significant figures in any given number or value. These rules go as follows:

For the portion followed by a decimal point, zeroes at the end are not counted, but zero between two non-zero digits and zero in the initial portion of the floating point are counted while taking note of the significant figures in a decimal value.

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Answer: A) 2.95 units

Step-by-step explanation:

The diameter of a circle is twice the radius.  Thus, simply do 5.9/2 to get that the radius is 2.95 units long.

Hope it helps <3

Answer:

your answer would be A-2.95

5.9/2=2.95

Step-by-step explanation:

Answer:

i believe so, 3k3 is just 3k to the third power so i think theyd be like terms still

Answer:

18 gallons

Step-by-step explanation:

From the information given, first you  have to find the amount of cans that were bought and the total amount of fluid ounces:

8 cases of soda*24 cans= 192 cans

 1 can      →   12 fluid ounces

192 cans  →                x

x= 2,304 fluid ounces

Now, you have to find the amount of gallons that you purchased considering that there are 128 fluid ounces in 1 gallon:

1 gallon  →  128 fluid ounces

     x       ←  2,304 fluid ounces      

x=(2,304*1)/128= 18 gallons

According to this, the answer is that you purchased 18 gallons.

3 ice cream machines will make a total of 480 gallons for the same length of time and 4 ice cream machines will make a total of 640 gallons for the same length of time.

For the quantity 3 ice cream machines will make.

2 ice cream machines produce a total of 320 gallons in a certain amount of time.

If 2 ice cream machines can make a total of 320 gallons. Then,

3 ice cream machines will produce a total of x gallons in the same amount of time

x = (320 × 3)/2

x = 480 gallons

Hence, 3 ice cream machines will produce a total of 480 gallons.

For the quantity 4 ice cream machines will make.

If 2 ice cream machines can make a total of 320 gallons. Then,

4 ice cream machines will produce a total of y gallons in the same amount of time

y = (320 × 4)/2

y = 640 gallons

Hence, 4 ice cream machines will produce a total of 640 gallons.

--The given question is incomplete, the complete question is

"Two ice cream machines make a total of 320 gallons in a certain amount of time. Working together for the same length of time, how many gallons of ice cream can each number of machines make?

3 ice cream machines

4 ice cream machines"--

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Answer:

3

Step-by-step explanation:

Only answer that remotely gets close to the chart.

Answer:

Step-by-step explanation:

(3) only answer closest

The type of error that could have occurred in this scenario is a Type II error. A Type II error occurs when the null hypothesis is not rejected, even though it is false.

In this case, the null hypothesis is that the proportion of defective bulbs in the shipment is greater than or equal to 5%. By not rejecting this null hypothesis, the company is accepting the possibility that the shipment has a high proportion of defective bulbs, when in reality it does not. This can lead to significant costs for the company, such as the cost of returning the shipment or the cost of replacing defective bulbs in the future.

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Answer:

1. No

2. He needs $ 22 more

Explanation:

$71 × 2 = $ 142

$ 142 - $ 120 = $ 22

Construction is a process in which required steps are considered to draw a given shape by the use of construction instruments and materials. Thus to correct the error in the given question, the third arc should be drawn centered at point F. Answer is option A.

Majorly, the use of a straight edge and a pair of compasses to draw the image of a given object is referred to as construction. Which required adhering to some steps.

The construction of a parallel line through a given point to a given line involves following the appropriate procedure. If not, an error would be committed which would result in an inappropriate shape or figure.

Therefore, to fix the error in the given question, it is important that the third arc should be drawn centered at point F. Thus, the correct answer is option A.

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Answer:

hol up

x=-1/8  negative one over eight

Step-by-step explanation:

The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

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Answer:

1539/4 (improper fraction) or 384 3/4 (simplified fraction)

Step-by-step explanation:

To find the improper fraction, write 384.75 as a fraction:

384.75/1

Then, since you have 2 decimal places after the ., multiply the entire fraction by 100:

38475/100

Next, find the GCF, which is 25, and simplify this fraction to find the final improper fraction:

1539/4

To find the simplified fraction, we already have the whole number, 384, so we have to convert 0.75 to a fraction which is 3/4, because 0.75 is 3/4 of 100:

384 3/4

Hope this helps :)

Answer:

\(\boxed{\sf A. \ 36}\)

Step-by-step explanation:

The triangles are congruent. The sides are proportional.

Let x be the length of FQ.

\(\frac{24}{18} =\frac{x}{27}\)

\(\sf Multiply \ both \ sides \ by \ 27.\)

\(\frac{24}{18}(27)=\frac{x}{27}(27)\)

\(36=x\)

Answer:

6(x + 15)

Step-by-step explanation:

The answer is 6(x + 15). It states the product of 6, so that is multiplication. You are multiplying the six by the sum of x and 15. Sum means addition. So, your answer is 6(x + 15).

In the expression form, we can write the product of 6 and the sum of a number x and 15 as -

f(x) = 6x + 90

We have - the product of 6 and the sum of a number x and 15.

We have to write it in Algebraic expression form.

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).

According to question, we have - the product of 6 and the sum of a number x and 15.

Sum of a number x and 15 can be written as = x + 15

The product of 6 and the sum of x and 15 can be written as = 6(x + 15) = 6x + 90.

In this expression -   x is a variable, 90 is a constant value and the algebraic operation used is addition.

Hence, the equation in the expression form is -  f(x) = 6x + 90

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Answer:

I want to say 4, hope this is correct

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The formula for the average velocity of the particle over the time interval [t1, t2] is: \((t2 - t1)^(^-^1^) * [(t2^2 - 8t2) - (t1^2 - 8t1)]\)

To find the average velocity of a particle moving in a straight line over each time interval, we need to calculate the change in displacement divided by the change in time over that interval.

The displacement of the particle as a function of time is given by:

s = t^2 − 8t + 15

If we take the derivative of s with respect to time t, we get:

v = ds/dt = 2t - 8

This equation gives us the instantaneous velocity of the particle at any point in time t. To find the average velocity over a particular time interval [t1, t2], we can integrate the velocity equation from t1 to t2, and then divide by the total time interval:

average velocity = (1 / (t2 - t1)) * ∫(t1 to t2) (2t - 8) dt

Integrating, we obtain:

average velocity = (1 / (t2 - t1)) * [(t^2 - 8t) from t1 to t2]

Simplifying, we get:

average velocity = (1 / (t2 - t1)) * [(t2^2 - 8t2) - (t1^2 - 8t1)]

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