can someone please help,
A right triangle is inscribed in a circle, and the radius of the circle is given. Explain how to find the length of the hypotenuse. use complete sentences ​

Answer:

−5^2x2+8x−15

Step-by-step explanation:

Hope it helps!

Answer:

its B .

Step-by-step explanation:

Nora could run 7.5 minutes per mile to qualify for the state cross-country championships. The correct answer is option c.

To qualify for the state cross-country championships, Nora needs to run 4 miles in 30 minutes or less. So, her average rate should be:

average rate = total time / total distance

If she runs at the slowest rate possible to still qualify, then her average rate would be:

average rate = 30 / 4 = 7.5 minutes per mile

Therefore, the correct option is c) 7.5.

If she runs slower than this average rate, then her total time would exceed 30 minutes and she would not qualify.

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Answer:

20

Step-by-step explanation:

Answer:

b is your answer

Step-by-step explanation:

Answer:

d=8

Step-by-step explanation

Answer:

Add

1

4

14

14

to both sides of the equation

−

1

4

=

−

6

d-14=-6

d−14=−6

−

1

4

+

1

4

=

−

6

+

1

4

Step-by-step explanation:

Answer:

4x² - 24x +24

Step-by-step explanation:

4(x-3)² -12= 4( x²-6x +9) -12

= 4x² -24x +36 -12

= 4x² -24x + 24

Answer:

8 and 9

Step-by-step explanation:

let 'n' = smaller positive integer

let 'n+1' = larger

n² = 5(n+1)+19

n² = 5n + 5 + 19

n² = 5n + 24

n² - 5n - 24 = 0

(n-8)(n+3) = 0

n = 8  [this is the smaller positive integer]

n+1 = 9  [this is the larger positive integer]

n = -3  [this value can be discounted because it is not positive]

The value of the angle x will be equal to 36°.

A circle's arc is defined as a portion or segment of its circumference. A chord of a circle is a straight line that can be created by connecting the two ends of an arc. A semicircular arc is one whose length is exactly half that of a circle.

Given that the minor arc is 144. The value of angle x will be calculated by the ratio of the difference between the major arc and the minor arc to the 2.

The angle x will be calculated as,

x = ( Major arc - Minor arc) / 2

x = ( 360-144-144) / 2

x = 72 / 2

x = 36

Therefore, the value of the angle x will be equal to 36°.

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DDR4 has several advantages over DDR3. Two of the key advantages are as follows:

Higher Data Transfer Rates: DDR4 offers higher data transfer rates compared to DDR3. It provides faster data transfer and improved overall system performance. DDR4 modules typically have higher clock speeds, allowing for faster data access and throughput.

Increased Memory Capacity: DDR4 supports higher memory capacities compared to DDR3. DDR4 modules can offer larger memory capacities, allowing for more memory to be installed in a system. This is beneficial for applications that require a large amount of memory, such as high-end gaming, video editing, and server applications.

Other advantages of DDR4 over DDR3 include improved power efficiency, lower operating voltage, and improved reliability. These factors contribute to better system performance, lower power consumption, and enhanced stability.

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The joint density function of random variables X and Y is given by f(x,y) = c(2x+y) for a constant c. the value of c is 3/7.

To find the value of c, we need to integrate the joint density function over the entire range of X and Y and set it equal to 1 since the total probability must sum to 1.The limits of integration for X are from 0 to 1, and for Y, it is from 0 to 2. Therefore, the integral becomes:

∫∫ c(2x+y) dxdy over the limits 0 to 1 for X and 0 to 2 for Y.

Evaluating this integral will give us the value of c. Let's perform the integration:

∫[0,2] ∫[0,1] c(2x+y) dxdy

= c ∫[0,2] [(x^2 + xy)] [0,1] dy

= c ∫[0,2] (y/2 + y^2/2) dy

= c [(y^2/4 + y^3/6)] [0,2]

= c [(2^2/4 + 2^3/6) - (0^2/4 + 0^3/6)]

= c [(4/4 + 8/6) - 0]

= c (1 + 4/3)

= c (7/3)

Now, since the total probability must sum to 1, we equate the integral to 1:

c (7/3) = 1

Solving for c, we get:

c = 3/7

Therefore, the value of c is 3/7, which completes the determination of the joint density function.

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Answer:

Neptune is 2.86 times further away from Saturn.

Step-by-step explanation:

Distance from Neptune to Earth is \(4.3\times 10^9\ km\)

Distance from Saturn to Earth is \(1.5\times 10^9\ km\)

We need to find how many times Neptune is further away from Saturn. It can be calculated by dividing distance from Neptune to Earth to the distance from Saturn to Earth as follows :

\(\dfrac{d_N}{d_S}=\dfrac{4.3\times 10^9}{1.5\times 10^9}\\\\\dfrac{d_N}{d_S}=2.86\\\\d_N=2.86\times d_S\)

It would mean that Neptune is 2.86 times further away from Saturn.

Answer:

£198

Step-by-step explanation:

£180 is 100%

10% of 180 is 180/10,

this is 18.

As it is a 10% increase you add that 18 onto 180 and you get 198.

The perimeter of the triangle XYZ according to the midsegment theorem is 37

The midsegment theorem states that the segment that is obtained by joining the midpoints of two sides of a triangle is parallel to the third side and it is half the length of the third side of the triangle.

The specified parameters are;

The midpoint of \(\overline{XY}\) = A

The midpoint of \(\overline{YZ}\) = B

The midpoint of \(\overline{XZ}\) = C

The length of segment AC = 5

The length of segment BC = 6

The length of side XZ = 15

The segments AC, BC, and AB are midsegments of the triangle XYZ

According to the midsegment theorem, we get

AC = 0.5 × \(\overline{YZ}\)

BC = 0.5 × \(\overline{XY}\)

AB = 0.5 × \(\overline{XZ}\)

Therefore;

2 × AC = \(\overline{YZ}\)

2 × BC = \(\overline{XY}\)

2 × AB = \(\overline{XZ}\)

\(\overline{YZ}\) = 2 × 5 = 10 (substitution property)

\(\overline{XY}\) = 2 × 6 = 12 (substitution property)

The perimeter of the triangle = \(\overline{YZ}\) + \(\overline{XY}\) + \(\overline{XZ}\)
Plugging in the values, of \(\overline{YZ}\), \(\overline{XY}\), and \(\overline{XZ}\)  we get;

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Answer: $16

Step-by-step explanation:

reduce by 20% means cutting from 100% and leftover with 80% of original

                                            100%-20%=80%

original price: $20×100%=$20

after reduction: $20×(100%-20%)=$16

Answer:

16

Step-by-step explanation:

First find the discount

20 * 20%

20 * .20

4

Subtract this from the price

20 -4

16

The new price is 16

Answer:

they answer would be y = 3x + 2

Step-by-step explanation:

Convert the equation to slope intercept form to get y = –1/3x + 2.  The old slope is –1/3 and the new slope is 3.  Perpendicular slopes must be opposite reciprocals of each other:  m1 * m2 = –1

With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2

So y = 3x + 2

Answer:

The p -value is less than α , and the null hypothesis is rejected. There is convincing evidence to suggest the true proportion of stitching defects is not 0.08.

The correct conclusion should be that the null hypothesis is rejected because of smaller p-value, and the true proportion of stitching defect is not equal to 0.08.

Given information:

The plant manager of a company that makes pillows claims that only 8 percent of the pillows made have a stitching defect.

The director tested the hypotheses H.

\(p = 0.08\\\alpha=0.05\)

p-value of of the test is found to be 0.03 which is smaller than the significance level of \(\alpha=0.05\).

Now, for smaller value of p-value, the null hypothesis is ignored.

Therefore, the correct conclusion should be that the null hypothesis is reject because of smaller p-value, and the true proportion of stitching defect is not equal to 0.08.

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Answer:

It's 1, 2 and 5

Step-by-step explanation:

I just did the quiz :)

The seismograph reading of the earthquake is approximately 1.99526.To determine the seismograph reading of the earthquake with a magnitude of 3.3 on the Richter scale, we can use the formula M(I) = log(I/0.001), where M(I) represents the magnitude and I represents the intensity of the earthquake.

In this case, we are given the magnitude of 3.3. Let's substitute this value into the formula and solve for I:

3.3 = log(I/0.001)

To isolate I, we need to convert the equation into exponential form:

10^(3.3) = I/0.001

Simplifying the equation, we have:

I = 10^(3.3) * 0.001

Using a calculator, we find that 10^(3.3) is approximately 1995.26.

So, the seismograph reading of the earthquake is:

I = 1995.26 * 0.001

≈ 1.99526.

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Answer: the 3rd one

Step-by-step explanation:

Answer:

255,000

Step-by-step explanation:

if we look there is already 254,000 so now we look at the hundreds place.

In the hundreds place there is 920 witch is closer to 1,000

so 254,000 plus 1,000 is 255,000

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Answer:

Net change means the differnce between the before result and the after result. You would subtract the numbers, but if you have a gain(the before result smaller than after result) you would do its absolute value. If it's a loss(the before result bigger than after result) you would put a negative behind its absolute value.

e.g. if 2019 had $1 net worth and 2020 had $2 net worth, since 2>1 it would be |2-1| = 1. If 2019 had $2 net worth and 2020 had $1 net worth, since 1<2 there would be a - |2-1| = -1 net change.

However, if there is no change it would be just 0.

Answer:

24/32

Step-by-step explanation:

just multiply the bottom number until 32 the as much times you multiplie the denominator that how much times you multiplie the numerator

Answer:

6:8 = 24:32

Step-by-step explanation:

Answer:

1260

Step-by-step explanation:

polygon having sides is 9

so sum will be 1260

To find an explicit formula for the nth term of the sequence satisfying\(\(a_1 = 0\) and \(a_n = 2a_{n-1} + 1\) for \(n \geq 2\),\)  we can use recursive formula to generate the terms of the sequence.

Given:

\(\(a_1 = 0\)\\\(a_n = 2a_{n-1} + 1\) for \(n \geq 2\)\)

Using the recursive formula, we can generate the terms of the sequence as follows:

\(\(a_2 = 2a_1 + 1 = 2(0) + 1 = 1\)\\\(a_3 = 2a_2 + 1 = 2(1) + 1 = 3\)\)

\(\(a_4 = 2a_3 + 1 = 2(3) + 1 = 7\)\\\(a_5 = 2a_4 + 1 = 2(7) + 1 = 15\)\)

From the pattern, we observe that the nth term of the sequence is given by \(\(2^{n-2} - 1\).\)

Therefore, the explicit formula for the nth term of the sequence satisfying \(\(a_1 = 0\) and \(a_n = 2a_{n-1} + 1\) for \(n \geq 2\) is: \\\\\a_n = 2^{n-2} - 1.\]\)

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Answer:

2nd one

Step-by-step explanation:

y=16x+8

The statistics are as follows:

- Test Statistic: The calculated test statistic is approximately 1.02.

- P-value: The P-value associated with the test statistic of 1.02 is approximately 0.154.

- Confidence Interval: The 95% confidence interval for the difference in proportions is approximately -0.0186 to 0.0786.

To solve the problem completely, let's go through each step in detail:

1. Test Statistic:

The test statistic can be calculated using the formula:

z = (p1 - p2) / √[(p_cap1 * (1 - p-cap1) / n1) + (p_cap2 * (1 - p_cap2) / n2)]

We have:

p1 = 0.55 (proportion in the first poll)

p2 = 0.53 (proportion in the second poll)

n1 = 630 (sample size of the first poll)

n2 = 1010 (sample size of the second poll)

Substituting these values into the formula, we get:

z = (0.55 - 0.53) / √[(0.55 * (1 - 0.55) / 630) + (0.53 * (1 - 0.53) / 1010)]

z = 0.02 / √[(0.55 * 0.45 / 630) + (0.53 * 0.47 / 1010)]

z ≈ 0.02 / √(0.0001386 + 0.0002493)

z ≈ 0.02 / √0.0003879

z ≈ 0.02 / 0.0197

z ≈ 1.02 (rounded to two decimal places)

Therefore, the test statistic is approximately 1.02.

2. P-value:

To find the P-value, we need to determine the probability of observing a test statistic as extreme as 1.02 or more extreme under the null hypothesis. We can consult a standard normal distribution table or use statistical software.

The P-value associated with a test statistic of 1.02 is approximately 0.154, which means there is a 15.4% chance of observing a difference in proportions as extreme as 1.02 or greater under the null hypothesis.

3. Confidence Interval:

To estimate the difference in proportions with a 95% confidence interval, we can use the formula:

(p1 - p2) ± z * √[(p_cap1 * (1 - p_cap1) / n1) + (p_cap2 * (1 - p_cap2) / n2)]

We have:

p1 = 0.55 (proportion in the first poll)

p2 = 0.53 (proportion in the second poll)

n1 = 630 (sample size of the first poll)

n2 = 1010 (sample size of the second poll)

z = 1.96 (for a 95% confidence interval)

Substituting these values into the formula, we get:

(0.55 - 0.53) ± 1.96 * √[(0.55 * (1 - 0.55) / 630) + (0.53 * (1 - 0.53) / 1010)]

0.02 ± 1.96 * √[(0.55 * 0.45 / 630) + (0.53 * 0.47 / 1010)]

0.02 ± 1.96 * √(0.0001386 + 0.0002493)

0.02 ± 1.96 * √0.0003879

0.02 ± 1.96 * 0.0197

0.02 ± 0.0386

The 95% confidence interval for the difference in proportions is approximately (0.02 - 0.0386) to (0.02 + 0.0386), which simplifies to (-0.0186 to 0.0786).

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The town's population be in the year 2020 if it continues to grow at this rate will be 28,743.

First, we need to calculate the number of years between 2010 and 2020, which is 10 years.

Next, we need to calculate the population for each year from 2010 to 2020. We can do this using the formula:

population = initial population * (1 + growth rate)^number of years

For 2010, the initial population is 15,000, the growth rate is 6.5%, and the number of years is 0:

population in 2010 = 15,000 * (1 + 0.065)^0 = 15,000

For 2020, the number of years is 10:

population in 2020 = 15,000 * (1 + 0.065)^10 = 28,743

Therefore, the town's population in the year 2020 will be approximately 28,743.

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