the coefficient of 't' in (2t-5)^3 is​

Answer:2

Step-by-step explanation:x/6+29=41

41-29=12

12/6=2

Answer:

I and III

Step-by-step explanation:

On a unit circle, the only two angles whose sine is \(-\dfrac{\sqrt{3}}{2}\) are \(\dfrac{4\pi}{3}\) and \(\dfrac{5\pi}{3}\), otherwise known as \(-\dfrac{\pi}{3}\). Therefore, the correct answers are I and III. You can see the unit circle below, where the y coordinates of the above angles show \(-\dfrac{\sqrt{3}}{2}\).

Answer:

Step-by-step explanation:

2000264(X) b x a =177777082

We fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the death rate for the treatment group is different from the overall death rate of 23%.

The null hypothesis is a kind of hypothesis which explains the population parameter whose purpose is to test the validity of the given experimental data.

To determine if any conditions are met, we need to perform a hypothesis test.

Null Hypothesis (H₀): The death rate for the treatment group is the same as the overall death rate of 23%.

Alternative Hypothesis (Hₐ): The death rate for the treatment group is different from the overall death rate of 23%.

We can use a one-sample proportion z-test to test this hypothesis. The test statistic is calculated as:

z = (p - P) / √(P(1-P) / n)

where p is the sample proportion (15/84), P is the hypothesized proportion (0.23), and n is the sample size (84).

Using these values, we get:

z = (0.1786 - 0.23) / √(0.23 * 0.77 / 84) = -1.76

The corresponding p-value for this test statistic is 0.0788, which is greater than the standard significance level of 0.05. Therefore, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the death rate for the treatment group is different from the overall death rate of 23%.

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The samples of size n = 2 that can be drawn from this population is 28

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

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

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Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

Answer:

the first one is 4x-y=-5 not sure about the second tho, sorry <3

Answer:

2,  13,  52,, 4

Step-by-step explanation:

Answer:

1/12 more pounds of green grapes

Step-by-step explanation:

First, we would need to find a common denominator. 6 and 12 have 12 in common, so lets pick 12 as our common denominator.

Since 1/12 already has 12 for a denominator, we wont have to do anything to it.

So, what times 6 gives you a denominator of 12? 2!   If we multiply the denominator by 2, we have to also multiply the numerator by 2. 1/6 times 2/2 is 2/12.

Laslty, we have to subtract them. 2/12 - 1/12 is 1/12. so, Eliana bought 1/12 more pounds of green grapes than red grapes.

Answer: C = 6.5l

Cost is $6.50 per yard.

Step-by-step explanation:

2l = 13 and 5l = 32.5 After simplifying these we get: L = 6.5. In context, this means that one yard of fabric costs $6.50. As the number of yard of fabric increases, cost increases, so c = 6.5l.

Based on the cost of a single meter of fabric, the cost of the fabric that Joy wants is $2.81

Joy wants 8 feet of fabric. First convert this to meters which would be:

= 8 feet x 0.305 meter per feet

= 2.44 meters

The cost of this fabric would therefore be:

= Cost per meter x Number of meters

= 1.15 x 2.44

= $2.806

= $2.81

In conclusion, the cost of the fabric would be $2.81.

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Answer: So the probability that both students have reaction times greater than or equal to 9 seconds is approximately 0.0251 or 2.51%.

Step-by-step explanation:

However, assuming that you are referring to a hypothetical scenario where two students are chosen at random from a larger population, and that their reaction times follow a normal distribution with a mean of μ and a standard deviation of σ, the probability that both students have reaction times greater than or equal to 9 seconds can be calculated as follows:

Let X1 and X2 be the reaction times of the first and second students, respectively. Then, we can write:

P(X1 ≥ 9 and X2 ≥ 9) = P(X1 ≥ 9) * P(X2 ≥ 9 | X1 ≥ 9)

Since the students are chosen at random, we can assume that their reaction times are independent, which means that:

P(X2 ≥ 9 | X1 ≥ 9) = P(X2 ≥ 9)

Now, if we assume that the reaction times follow a normal distribution, we can standardize them using the z-score:

z = (X - μ) / σ

where X is the reaction time, μ is the mean, and σ is the standard deviation. Then, we can use a standard normal distribution table to find the probability that a random variable Z is greater than or equal to a certain value z. In this case, we have:

P(X ≥ 9) = P(Z ≥ (9 - μ) / σ)

Assuming that μ = 8 seconds and σ = 1 second, we can calculate:

P(X ≥ 9) = P(Z ≥ 1)

Using a standard normal distribution table, we can find that P(Z ≥ 1) ≈ 0.1587.

Therefore:

P(X1 ≥ 9 and X2 ≥ 9) = P(X1 ≥ 9) * P(X2 ≥ 9 | X1 ≥ 9)

= P(X ≥ 9) * P(X ≥ 9)

= (0.1587) * (0.1587)

≈ 0.0251

So the probability that both students have reaction times greater than or equal to 9 seconds is approximately 0.0251 or 2.51%.

To determine average high school GPA of students we would need access to dataset that includes birth dates and  high school GPAs of the students. Without specific data, it is not possible to provide an average GPA.

Collecting the required data involves accessing student records or conducting surveys to gather information on birth dates and high school GPAs. Once the data is obtained, the average GPA can be calculated by summing up the GPAs of all students born during April, May, and June of 2005 and dividing it by the total number of students in that group.

It's important to note that the average GPA will be specific to the dataset or sample of students used for the calculation. If the dataset is representative and unbiased, the average GPA can provide an estimation of the average performance of students born during those months in 2005. However, if the dataset is limited or not representative, the calculated average may not accurately reflect the overall average high school GPA of all students born during that period.

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Answer:

they are using the right ratio

Step-by-step explanation:

Your answer should be - 84.

Explanation:

Starting equation: \(2\:+\:8\:-\:2\:\left[32\:+\:5\:\left(1\:+\:2\right)\right]\)

-Calculate within parentheses [32 + 5 (1+2)] = 47.

Remaining equation: 2 + 8 - 2 x 47

-Multiply and divide (left to right) 2 x 47 = 94

Remaining equation: 2 + 8 - 94

-Add and subtract (left to right) 2 + 8 - 94 = -84

Your final answer is -84

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Hope this helps!

Have a great day and God bless! :)

The distance from the center of dilation, Q, to the image of vertex A will be 4 units.

According to the given rule of dilation, D subscript Q, two-thirds, the triangle ABC will be dilated with a scale factor of two-thirds centered at point Q.

Since point Q is the center of dilation and the distance from triangle ABC to point Q is 6 units, the image of vertex A will be 2/3 times the distance from A to Q. Therefore, the distance from A' (image of A) to Q will be (2/3) x 6 = 4 units.

By applying the scale factor to the distances, we can determine that the length of A'B' is (2/3) x  3 = 2 units, the length of B'C' is (2/3) x 7 = 14/3 units, and the length of A'C' is (2/3) x 8 = 16/3 units.

Thus, the distance from the center of dilation, Q, to the image of vertex A is 4 units.

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1. In this scenario, the goalie saves 73% of the opponent's shots. Therefore, any digits from 00 to 72 represent shots that are saved, as they fall within the range of the goalie's saving ability.

2. To win the game, the Iceblades cannot let the other team score any goals. Therefore, the goalie needs to save all 5 shots taken by the other team for a group to be a success.

3. Group 1 is a success because the goalie saves all 5 shots taken by the other team. Since no goals are scored, the Iceblades maintain their one-goal lead and are on track to win the game.

4. In this simulation, the successes are the groups where the goalie saves all 5 shots. Based on the information given, Group 1 is the only success. Therefore, there is one success in the 10 groups.

5. Since there is only one success out of the 10 groups, the estimated probability of the Iceblades winning the game would be 1 out of 10, or 1/10. Expressed as a percentage, this is equal to 10%.

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Pave Construction provides services on account for bad dept of $40,000. Write-off of accounts receivable in 2022 is Allowance for Uncollectible Accounts (balance sheet) = $10,000. The balance of Allowance for Uncollectible Accounts at the end of 2022 (before adjustment in 2022) will be  $30,000.The balance of Allowance for Uncollectible Accounts at the end of 2022 will be $25,000 (assuming actual write-offs of $15,000).

Adjusting entry for uncollectible accounts on December 31, 2021:

Bad Debt Expense (income statement) = $40,000 ([$160,000 - $110,000] * 0.25)

Allowance for Uncollectible Accounts (balance sheet) = $40,000

Write-off of accounts receivable in 2022:

Allowance for Uncollectible Accounts (balance sheet) = $10,000

Accounts Receivable (balance sheet) = $10,000

Balance of Allowance for Uncollectible Accounts at the end of 2022 (before adjustment in 2022):

The balance of Allowance for Uncollectible Accounts at the end of 2022 (before adjustment in 2022) will be $40,000 - $10,000 = $30,000.

Write-off of accounts receivable in 2022 (assuming actual write-offs of $15,000):

Allowance for Uncollectible Accounts (balance sheet) = $15,000

Accounts Receivable (balance sheet) = $15,000

Balance of Allowance for Uncollectible Accounts at the end of 2022 (before adjustment in 2022) (assuming actual write-offs of $15,000):

The balance of Allowance for Uncollectible Accounts at the end of 2022 (before adjustment in 2022) will be $40,000 - $15,000 = $25,000.

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Answer: 14 women and 10 men

Step-by-step explanation:

Take 7 women and then 5 men and you get 12 people in total

Do the same thing and add 7 more women and 5 more men

you get 24 total students

Answer: 14 men and 10 women

Step-by-step explanation:

Divide 24 ( # of students) by the sum of the ratios.

24 divided by 7+5

24/12= 2

The ratio of men to women is 7:5

Multiply each ratio by 2.

7x2=14 men

5x2= 10 women

Add them both together to check your answer.

14 men + 10 women = 24 students

Answer:

x = 115

Step-by-step explanation:

x = 115 because of alternate exterior angles

a)The two way table is shown in figure,

b)The success rate of the three treatments in preventing cardiac arrests are 90.91% , 79.41% and 70%.

c)The expected cell count are as shown in the figure,

d)No. There is no difference among the treatments.

e) The brief summary is mentioned below.

Given,

The total number of people is 107.

33 people are enrolled in a stress management programme.

3 people had cardiac events as a result of the stress management programme.

34 people are in the exercise group.

The number of cardiac events in the exercise group was 7 people.

40 people receive routine care.

12 people had cardiac events while receiving standard care.  

a)

The two-way table for the given information is shown in the figure

b)

During the same time period, 7 of the 34 people in the exercise group and 12 of the 40 patients in usual care experienced such events.Success rate can be determined by,

\(Success=\frac{no.\ of\ people\ who\ did not\ suffered\ in\ group}{Total\ number\ of people\ in\ group}\)

For stress management:-

\(Success\ rate = \frac{30}{33}=0.9091=90.90\%\)

For exercise program:-

\(Success\ rate = \frac{27}{34}=0.7941=79.41\%\)

For usual care:-

\(Success\ rate = \frac{28}{40}=0.7=70\%\)

c)

Expected cell count can be calculated by formula,

\(Expected\ value=\frac{row\ total*column\ total}{table\ total}\)

then,

Expected value for the people who suffered cardiac arrest,

Under stress management:-

\(E= \frac{22*23}{107}=6.79\)

Under exercise group:-

\(E=\frac{22*34}{107}=6.99\)

Under usual care:-

\(E=\frac{22*40}{107}=8.22\)

Expected value for the people who did not suffered cardiac arrest :-

Under stress management:-

\(E=\frac{85*33}{107}=26.21\)

Under exercise group:-

\(E=\frac{85*34}{107}=27.01\)

Under usual care:-

\(E=\frac{85*40}{107}=31.78\)

The expected cell count is mentioned in the table

d)

The null and alternate hypothesis are

\(H_0\) :There is no difference in the actual success rates of the three treatments.

\(H_1\) :The three treatments differ in terms of actual success rates.

The test statistic can be calculated by

\(x^2=\sum \frac{(O-E)^2}{E}\)

Where,

O=observed value

E=Expected value

Under null hypothesis,

\(x^2=\frac{(3-.679)^2}{6.79}+\frac{(7-6.99)^2}{6.99}+\frac{(12-8.22)^2}{8.22}+\frac{(30-26.21)^2}{26.21}+\frac{(27-27.01)^2}{27.01}+\frac{(28-31.78)^2}{31.78}\\\\=4.8514\)

The p-value for the test is \(P(x_2 > 4.8514)=0.0884\)

There is no statistically significant difference in the success rates of the three treatments.

e)

Because the p-value is greater than 0.05 (at the 5% level of significance), there is insufficient evidence to reject the null hypothesis and conclude that there is no difference in the actual success rates for the treatments.

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The value of a and b in the right triangle are 4√3 and 6 units.

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

The sides a and b can be found using trigonometric ratios. Therefore,

sin 30 = opposite / hypotenuse

sin 30 = 2√3 / a

cross multiply

1 / 2  =  2√3 / a

a = 2√3 × 2

a = 4√3

Therefore, let's find b as follows:

cos 30 = adjacent / hypotenuse

cos  30 = b /  4√3

cross multiply

√3 / 2 = b /  4√3

4√3 × √3 = 2b

b = 12 / 2

b = 6

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The correct option is A) 5 – 1 ≠ 1 – 5  shows why the commutative property doesn't work under subtraction

The commutative property works for addition and multiplication. It says that when adding or multiplying, you can switch the order of the numbers around and still get the same answer.

For instance, in simple terms, the commutative property of addition states that changing the order of the addends will not change the sum. That is, a + b = b + a.

Similarly, the commutative property of multiplication states that changing the order of the factors will not change the product. That is, a × b = b × a.

However, the commutative property does not work for subtraction and division. You cannot change the order of numbers around and still get the same answer when you're subtracting or dividing. In other words, the order of the numbers matters in these cases.

That is, a - b ≠ b - a; a / b ≠ b / a.Here, the options C and D are not valid since they both represent addition operations, whereas the question demands subtraction. Between options A and B, A represents the subtraction operation and the result for this option is not the same as the result for the reverse subtraction operation which is why A is the right option.

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Answer:

$4

Step-by-step explanation:

$16 divided by 4 which equals $4

Answer:

\(15 ^{4} is \: correct \: option \:\)

Answer:

THE ANSWER IS 15⁴

Step-by-step explanation:

5⁴. 3⁴

(5.3)⁴

15⁴

Answer:

He used 11.9 gallons of fuel.

Step-by-step explanation:

You would subtract 1.9 from 13.8

Hope this helps!

Answer:

11.9 Gallons were used.

Step-by-step explanation:

1. First, subtract 1.9 from 13.8

2. The answer you will get is 11.9 gallons

3. That is how any gallons were used.

Answer:

The answer is 144 feet and it will be in the air for 6 sec

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

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The standard deviation is the mean of the sum of the squared deviations between each observation and the mean. The measure of dispersion that is the easiest to compute is the interquartile range.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation implies that the values are dispersed over a wider range, a low standard deviation shows that the values tend to be close to the mean of the collection.

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

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If PQRS are points on a circle with the centre O, PS is a diameter of the circle Angle PQR=136, the measure of angle RPS is 88 degrees.

Since QR is parallel to PS, we can use alternate interior angles to determine that angle QPS is equal to angle PQR. This means that angle QPS is also 136 degrees.

Angle PQR and angle QPS both subtend the same arc, which is the arc between points P and R on the circle. Therefore, the two angles are equal.

We can use this fact to find the measure of angle RPS. First, we know that the sum of angles in a quadrilateral is 360 degrees. Therefore, we can find the measure of angle PSR as follows:

Angle PSR = 360 degrees - Angle PQR - Angle QPS

Angle PSR = 360 degrees - 136 degrees - 136 degrees

Angle PSR = 88 degrees

Next, we use the fact that angles at the circumference of a circle subtended by the same arc are equal. Angle PSR and angle RPS both subtend the same arc, which is the arc between points P and R on the circle. Therefore, the two angles are equal.

Angle RPS = Angle PSR = 88 degrees

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Complete question is:

PQRS are points on a circle with the centre O PS is a diameter of the circle Angle PQR=136 Work out the size of angle RPS