Rory earned an 84% on his test. He answered 21 questions correctly. How many total questions were on the test? Round to the nearest tenth if necessary.

Answer:

5/12

Step-by-step explanation:

Answer:

D) -47/36

Step-by-step explanation:

Trust me.

The measure of length PQ will be 22 units.

A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.

Given:

PQ = 5x + 62, and MN = 6x-4

Now, using Mid- Point Theorem

PQ= 1/2 MN

-5x+ 62 = 1/2( 6x - 4)

-5x+ 62 = 3x - 2

-5x- 3x = -2 - 62

-8x = -64

x= 8

PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22

Hence, the measure of PQ is 22 units.

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a is called the real part of the complex number and bi is called the imaginary part of the complex number. In the complex number 6 - 4i, for example, the real part is 6 and the imaginary part is -4i.

The given two-way Frequency table, there are 33 left-handed students who are not in the music program.

The number of left-handed students who are not in the music program, we need to examine the data presented in the two-way frequency table.

From the table, we can see that the number of left-handed students in the music program is 15, and the total number of left-handed students is 48.

the number of left-handed students not in the music program, we subtract the number of left-handed students in the music program from the total number of left-handed students.

Number of left-handed students not in the music program = Total number of left-handed students - Number of left-handed students in the music program

Number of left-handed students not in the music program = 48 - 15

Calculating this, we find that the number of left-handed students not in the music program is 33.

Therefore, there are 33 left-handed students who are not in the music program, based on the data provided in the two-way frequency table.

In conclusion, based on the given two-way frequency table, there are 33 left-handed students who are not in the music program.

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Answer:

0.625

Step-by-step explanation:

:) i hope this helps.

In summary, there are 6 ways to distribute 9 identical balls into 3 identical boxes. This can be determined by finding the number of ways to write 9 as a sum of 3 integers.

To explain further, let's consider the problem of writing 9 as a sum of 3 integers. We can think of this as distributing 9 identical balls into 3 identical boxes, where each box represents one of the integers. Since the boxes are identical, we only need to consider the number of balls in each box.

To find the number of ways to distribute the balls, we can use a concept called "stars and bars." Imagine 9 stars representing the 9 balls, and we need to place 2 bars to separate them into 3 boxes. The positions of the bars determine the number of balls in each box.

For example, if we place the first bar after the 3rd star and the second bar after the 6th star, we have 3 balls in the first box, 3 balls in the second box, and 3 balls in the third box. This corresponds to one way of writing 9 as a sum of 3 integers (3+3+3).

By using stars and bars, we can determine that there are 6 different arrangements of bars among the 9 stars, resulting in 6 ways to distribute the 9 identical balls into the 3 identical boxes.

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Answer:

(3y - 1)(y - √3)(y + √3)

Step-by-step explanation:

Factor by grouping.

3y³ - y² - 9y + 3

= (3y³ - y²) - (9y - 3)

= y²(3y - 1) - 3(3y - 1)

= (3y - 1)(y² - 3)

= (3y - 1)(y - √3)(y + √3)

Answer:

105

Step-by-step explanation:

1,000 divided by 3.5% is 35

35 x 3 is 105

Since you are just asking for just the interest and not the total the answer is 105

The interest that Amy should pay is $105.

Given that,

Based on the above information, the calculation is as follows:

\(= 1000 \times 3.5\% \times 3\)

= 105

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They have the same slope of 1 and are therefore parallel so the correct option is B.

The equations of the lines are given as:

Line XY:  x−y=−3

Line WZ: x−y=1

To determine the relationship between the two lines and the segments XY and WZ, let's analyze the slopes of these lines.

The slope-intercept form of a line is y=mx+b, where  m is the slope of the line.

In the given equations, both lines have the same x−y coefficient, which means their slopes are the same.

The equation of line XY:

y=x+3

Slope is 1.

The equation of line WZ:

x-y=1

Change the equation to slope intercept form, y=mx+b.

Subtract x from both sides:

-y=1-x

Multiply minus on both sides:

y=x-1

When compare above equation with y=mx+b.

m=1

Slope is 1.

Hence, they have the same slope of 1 and are therefore parallel, option B is correct.

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Complete question

Quadrilateral wxyz is on a coordinate plane. segment xy is on the line x − y = −3, and segment wz is on the line x − y = 1. which statement proves how segments xy and wz are related?

(A) They have slopes that are opposite reciprocals 1 and -1 and are, therefore perpendicular

(B) They have the same slope of 1 and are therefore parallel

(C) They have slopes that are opposite reciprocals of 0 and undefined and are, therefore perpendicular

(D) They have the same slope of -1 and are therefore parallel

Answer:

Option D

Step-by-step explanation:

Given

\((5, 7), (7, 11). (9, 14). (11, 18)\)

Required

Determine if the function is quadratic

\((5, 7), (7, 11). (9, 14). (11, 18)\)

Start by representing the function as an x-y table

x:-  5 || 7 || 9 || 11

y:-  7 ||  11 || 14 || 18

Next; Calculate the difference between the values of y

\(Difference: 11 - 7 = 4\)

\(Difference: 14 - 11 = 3\)

\(Difference: 18 - 4 = 4\)

The resulting difference are: 4 || 3 || 4

Next; Calculate the difference between the difference of values of y

\(Difference = 3 - 4 = -1\)

\(Difference = 4 - 3 = 1\)

The resulting difference are: -1 || 1

For the function to be quadratic, the above difference must be the same and since they are not, then the function does not represent a quadratic function.

Option D answers the question

Answer:

=

Hope that helps!

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

its 7

The probability that the sample mean will be within plus minus 2 of the population mean if the sample size is n = 100 between z-scores of 0 and 2.5 using a z-table.

The standard deviation of the sample distribution, commonly known as the standard error, can be computed using the formula given that the population mean is 100 and the standard deviation is 16:

Standard Error = Standard Deviation / sqrt(sample size)

Let's determine the likelihoods for sample sizes of n = 100 and n = 400:

For n = 100:

Standard Error = 16 / sqrt(100) = 16 / 10 = 1.6

We can determine the z-scores for the upper and lower boundaries to establish the likelihood that the sample mean will be within plus or minus 2 of the population mean:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 1.6

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 1.6

Upper Bound z-score = 4 / 1.6

Upper Bound z-score = 2.5

We can calculate the region under the normal distribution curve between z-scores of 0 and 2.5 using a z-table or statistical software. This shows the likelihood that the sample mean will be within +/- 2 standard deviations of the population mean.

For n = 400:

Standard Error = 16/√400

Standard Error = 16/20

Standard Error = 0.8

We determine the z-scores by following the same procedure as above:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 0.8

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 0.8

Upper Bound z-score = 4 / 0.8

Upper Bound z-score = 5

Once more, we may determine the region under the normal distribution curve between z-scores of 0 and 5 using a z-table or statistical software.

A larger sample size, like n = 400, has the benefit of a lower standard error. The sampling distribution of the sample mean will be more constrained and more closely resemble the population mean if the standard error is less.

As a result, there is a larger likelihood that the sample mean will be within +/- 2 of the population mean. In other words, the estimate of the population mean gets more accurate and dependable as the sample size grows.

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Answer:

1)

\( {x}^{2 \times3} {y}^{5 \times 3} \)

\( {x}^{6} {y}^{15} \)

2) 8+4=12

3) xy³÷x⁴y²=

\( {x}^{ -3} {y}^{ - 1} \)

Answer:

tell me more explain how do you need help

Step-by-step explanation:

Approximately 60°C is the bare minimum temperature required to dissolve 10 g of KNO3 in 100 g of water.

Approximately 60°C is the bare minimum temperature required to dissolve 10 g of KNO3 in 100 g of water. Because potassium nitrate is a salt and salts often dissolve better in hot water than in cold, this is the case. The temperature of the water must be raised to the required level in order to accomplish the necessary level of dissolution. The solubility of the salt likewise rises with the rise in water temperature. So the minimum temperature required to dissolve 10 g of KNO3 in 100 g of H2O is roughly 60 °C. Further raising the temperature may cause more KNO3 to dissolve, but it is not required for the desired level of dissolution.

2.You start dissolving KNO₃ in the water and you find that after you’ve dissolved about 55 g of KNO₃, you can’t dissolve any more; it just sinks to the bottom.

Approximately what is the temperature of the water. Since KNO3 is most soluble at a temperature of 25 °C, the water is about that temperature.

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By using unitary method, we found that the cost of 5m cloth is Rs. 1050.

According to the unitary method, the cost of 1 meter of cloth is equal to the total cost of 7 meters of cloth divided by 7. That is,

Cost of 1m cloth = Total cost of 7m cloth/7

We know that the total cost of 7m cloth is Rs. 1470. Therefore,

Cost of 1m cloth = 1470/7

Cost of 1m cloth = Rs. 210

This means that the cost of 1 meter of cloth is Rs. 210. Now, we need to find the cost of 5m cloth. To do that, we can use the unitary method again.

Cost of 5m cloth = Cost of 1m cloth x 5

Cost of 5m cloth = Rs. 210 x 5

Cost of 5m cloth = Rs. 1050

Therefore, the cost of 5m cloth is Rs. 1050.

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Answer:

1/2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

because your not describing how the variables are related if you don't have the variables

Answer:

such

Step-by-step explanation:

chicken stuff do first watch club first victory school stuff fixed Suzie subbed chicken chicken division xoxoxo duck didn't zen give green box green bunches give green box cuz the fresh box huh check chuck duck cuz Fred fic green box green box been cuz cream Chico condos

Answer:

316 milliliters of compound A

Step-by-step explanation:

We know for every 7milliliters, we have 4 milliliters of compound A and 3 milliliters of compound B

So, take 553 divided by 7 = 79

So, take 4 times 79 = 316 milliliters of Compound A

So, 316 milliliters of Compound A are needed!

The weighted aggregate index of 1996 is 662.05.

Given: Table 1: The prices of unit values of commodities A, B, C, and D in 1994 and 1996 were as follows;

Commodities 1994 1996 Weights A 500 600 7 B 1000 1200 2 C 700 800 3 D 500 700 6 Taking 1994 as a base year.

We need to find: (i) Price relatives for commodities A, B, C, and D, hence the simple price index of 1996. (ii) Simple aggregate index of 1996. (iii) The weighted aggregate index of 1996.

Hence the simple price index of 1996, Calculation for

(i) Price Relatives for Commodities A, B, C, and D

(ii) Simple Aggregate Index of 1996:

The calculation for (ii): Simple Aggregate Index of 1996

(iii) The Weighted Aggregate Index of 1996:

The calculation for (iii): Weighted Aggregate Index of 1996

Therefore, the weighted aggregate index of 1996 is 662.05.

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Out of all the answer choices, d) 1.327 × 10-31 ng is the only one that matches the calculated value of the mass of a single bromine atom in nanograms. Therefore, d) is the correct answer.

To understand why, we need to convert the mass of a single bromine atom from grams to nanograms.

There are 10^9 nanograms in a single gram, so we can use this conversion factor to make the necessary calculation:
1.327 × 10-22 g x (10^9 ng/1 g) = 1.327 × 10-13 ng

However, none of the answer choices match this value. We need to use scientific notation to convert 1.327 × 10-13 ng into one of the given answer choices.
a) 1.327 × 10-16 mg = 1.327 × 10^-10 ng (since 1 mg = 10^6 ng)
b) 1.327 × 10-25 kg = 1.327 × 10^-4 ng (since 1 kg = 10^12 ng)
c) 1.327 × 10-28 μg = 1.327 × 10^-19 ng (since 1 μg = 10^3 ng)
d) 1.327 × 10-31 ng = 1.327 × 10-31 ng

Out of all the answer choices, d) 1.327 × 10-31 ng is the only one that matches the calculated value of the mass of a single bromine atom in nanograms. Therefore, d) is the correct answer.

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Answer:

1) 3/5

2) 20

3) 60%

Step-by-step explanation:

1) If 3 out of the 5 cats are ginger, that is your fraction with the total cats being the denominator.

2) You will then find out what number makes 100 when multiplied by 5. That number being 20.

3) With the denominator being 100, you would also multiply the numerator, and 3 × 20 is 60, so it would be 60/100, or 60%

Answer:

Step-by-step explanation:

Given that Zahra has 5 cats. 3 of those cats are ginger. We could also express that statement as, "3 out of 5 cats are ginger."  

Note: 3/5 = 60/100 = 0.60 = 60%

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We have to find the area under the graph but since we are not given the graph ,So let's learn how it is done. To estimate the area under the graph of function f from x, you can use rectangles. Here's how you can do it:

Step 1: Divide the interval [a, b] into six equal subintervals.
Step 2: Calculate the width of each rectangle by dividing the total width of the interval [a, b] by the number of rectangles (in this case, 6).
Step 3: For each subinterval, find the value of the function f at the right endpoint of the subinterval.
Step 4: Multiply the width of the rectangle by the value of the function at the right endpoint to find the area of each rectangle.
Step 5: Add up the areas of all six rectangles to estimate the total area under the graph of f from x.

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If f is differentiable on a closed interval [a,b] and if f' is continuous on the interval [a,b], Then f is Lipschitz on [a,b].

What is a Lipschitz function?

Now,

Hence, If f is differentiable on a closed interval [a,b] and if f' is continuous on the interval [a,b], Then f is Lipschitz on [a,b].

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There are 169 outcomes in the complement of the event "students who are left-handed".

The complement of the event "students who are left-handed" is "students who are not left-handed," which means all students who are right-handed. Therefore, the number of outcomes in the complement is equal to the total number of students minus the number of left-handed students, which is:

344 - 175 = 169

To find the complement of an event, we need to consider all outcomes that are not part of the event. In this case, the event is "students who are left-handed," which means we need to consider all students who are not left-handed. Since there are only two possibilities (left-handed or not left-handed), the complement is simply the opposite of the event. Therefore, we subtract the number of left-handed students from the total number of students to get the number of students who are not left-handed.

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according to the question the actual distance between Chattanooga and Nashville is 133 miles.

Distance is an object's total, aimless movement. Without regard to whether anything has a beginning or an end, distance can be defined as the amount of space that something has traversed. Distance is referred to be the breadth or magnitude of the gap between two locations. It should be highlighted that the distance between two points and the length travelled between the two are not the same thing. The total length of a path connecting two locations counts as the distance travelled. Distance is the distance in reality that a body travels. It also goes by the name "path length." For instance, the length of a path for the thing passing via point O and arriving at position P would be OP = 360 m.

given,

If 1 inch on the map represents 38 miles in reality, then 3.5 inches on the map would represent:

3.5 inches * 38 miles/inch = 133 miles

Therefore, according to the scale on the map, the actual distance between Chattanooga and Nashville is 133 miles.

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Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)