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The ratio of the width to the height of a
television screen is 16:9.
If the height of the screen is 52 cm, which is
closest to the width?
a 92 cm
b 87 cm
c 59 cm
d 29 cm

----------------

Answer:

B. positive

Step-by-step explanation:

The Mean is 43 and Standard Error of x is 0.7225

What is Statistics?

Statistics is the study of data collection, analysis, presentation, and interpretation. Much of the early push for the subject of statistics came from government demands for census data as well as information about a range of economic operations.

We are provided with the Sample Size (n) = 16

Mean (μ) = 43

Standard Deviation (σ) = 1.7

We need to find:

Standard Error of x

So, to calculate Standard Error of x we need to find variance first

Variance = (Standard Deviation)^2

Variance = 1.7 * 1.7 = 2.89

Standard Error = Variance / √Sample Size

Standard Error = 2.89 / √16

Standard Error = 2.89 / 4

Standard Error of x is 0.7225

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A Paired t-test evaluates data from dependent samples in which the two treatments are applied to the same individual.

T-test is a statistical statistics mainly use when population variance is unknown and sample size is small.

In Paired t-test , we compare means of two dependent samples . It gives hypothesis examination on difference between of mean.

It uses same items or people in both sample that's why they are also known as dependent t-test

Paired t-test also increases the statistical power of our analysis.

Formula of paired t-test :

\(t = \frac{m}{s/\sqrt{n} }\)  with (n-1) degree

where , m is mean difference

s is standard deviation

n is sample size

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Answer:

The skeleton is 1150 yrs old.

Step-by-step explanation:

To get this answer you would take 5750 and divide by 5 because the problem say 1/5th. This would give you the equation 5750/5 = 1150.

Answer:

28 in

Step-by-step explanation:

Use Pythagoras Theorem

\( {a}^{2} + {b}^{2} = {c}^{2} \)

Where c is the hypotenuse of the right angle triangle ,and a and b the other sides. Just substitute the values and get your answer.

The amount of interest Judith will pay in the 40th month is $401. Thus, the correct answer is option A.

To calculate the amount of interest Judith will pay in the 40th month, we need to determine the remaining mortgage balance at that time. With an amortization period of 22 years (264 months), after 40 months, there will be 264 - 40 = 224 months remaining.

Using the formula for mortgage balance, we can find the remaining balance:

Remaining Balance = Principal * [((1 + r)^n) - ((1 + r)^m)] / [((1 + r)^n) - 1]

Where Principal = $175,000 (initial loan amount), r = 3.2% / 2 = 1.6% (semi-annual interest rate), n = 22 * 2 = 44 (total number of semi-annual periods), and m = 224 / 2 = 112 (remaining number of semi-annual periods).

Substituting the values into the formula, we find:

Remaining Balance = $175,000 * [((1 + 0.016)^44) - ((1 + 0.016)^112)] / [((1 + 0.016)^44) - 1] = $147,334.89

The interest paid in the 40th month is the difference between the previous month's balance and the remaining balance:

Interest = Previous Balance * Monthly Interest Rate = $175,000 - $147,334.89 = $27,665.11

Therefore, Judith will pay approximately $401 in interest in the 40th month. Thus, the correct answer is option A.

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Answer:

(Choice C) C \dfrac27 7 2 ​ start fraction, 2, divided by, 7, end fraction

Step-by-step explanation:

2÷7=2, divided by, 7, equals

(Choice A) A \dfrac97 7 9 ​ start fraction, 9, divided by, 7, end fraction

(Choice B) B \dfrac72 2 7 ​ start fraction, 7, divided by, 2, end fraction

(Choice C) C \dfrac27 7 2 ​ start fraction, 2, divided by, 7, end fraction

(Choice D) D \dfrac29 9 2 ​

2÷7=2, divided by, 7, equals (Choice C) C \dfrac27 7 2 ​ start fraction, 2, divided by, 7, end fraction

2 ÷ 7

= 2/7

= 0.2857142857142

= 0.29

Answer:

Epic

Step-by-step explanation:

stop random spam(thanks for points xD)

Answer

Option D is the pair of functions which is not a pair of inverse function.

Explanation

First of, the inverse of a function is a function that reverses the actions of the function. That is, for the inverse function, if we are given f(x), we would be able to obtain x.

The step to finding a function's inverse is to write y instead of f(x). We then rewrite by replacing the y by x and then make y the subject of formula, the y which is a subject of formula now, represents the inverse function, f⁻¹(x).

For each of them, we can get the other one from it.

f(x) = (x + 1)/6

y = (x + 1)/6

x = (y + 1)/6

Cross multiply

6x = y + 1

y = 6x - 1

g(x) = 6x - 1

f(x) = (x - 4)/19

y = (x - 4)/19

x = (y - 4)/19

19x = y - 4

y = 19x + 4

g(x) = 19x + 4

f(x) = x⁵

y = x⁵

x = y⁵

y = 5√x

g(x) = 5√x

Only option D doesn't give the inverse of the other function.

Hope this Helps!!!

Answer:

Step-by-step explanation:

4. (6^10)^-7 is when the exponents should be multiplied

   answer is B

5. (7^3)^-2 = (7^-6)

     1/7^6 = 1/(7x7x7x7x7x7)

answer is A

2. 11^-4/11^8= 1/11^(8+4) = 1/11^12

   answer is A

3. (2^5/3^2)^4= 2^20/3^8

   answer is A

Answer:

the answer is what the other person said lol

Step-by-step explanation:

The set of all FIU students would be the entire population of FIU students, which includes every individual who is currently enrolled as a student at Florida International University.

This would include undergraduate and graduate students, full-time and part-time students, and students of all majors and programs. The set would be a complete representation of the entire FIU student body, including all of its characteristics and attributes.

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the area of the surface that corresponds to the part of the plane 13x + 5y + z = 65 lying in the first octant is 32.5 square units.

To find the area of the surface that corresponds to the part of the plane 13x + 5y + z = 65 lying in the first octant, we need to find the equation of the portion of the plane that lies in the first octant and then calculate the surface area of that portion.

First, we need to find the intercepts of the plane with the x, y, and z-axes. Setting x = 0, we get:

5y + z = 65

Setting y = 0, we get:

13x + z = 65

Setting z = 0, we get:

13x + 5y = 65

Solving these three equations simultaneously, we get:

x = 5, y = 13, z = 0

So the plane intersects the x-axis at (5,0,0), the y-axis at (0,13,0), and the z-axis at (0,0,65).

The part of the plane that lies in the first octant is bounded by the x-axis, the y-axis, and the line connecting (5,0,0) and (0,13,0). This triangular region has a base of length 5 and a height of 13, so its area is (1/2)513 = 32.5.

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After one minute, the distance between the boats will be 130 feet if two boats start moving toward each one other from opposite shores. in 1 minute, the first boat goes 40 ft, and the second boat goes 30 feet.

The width of the lake is 200 feet. The first boat moved 40 feet in one minute, and the second boat moved 30 feet.

To calculate the distance between the boats after one minute, subtract the total distance traveled by each boat from the width of the lake. So, 200 feet (width of the lake) minus 40 feet (distance traveled by first boat) minus 30 feet (distance traveled by second boat) equals 130 feet.

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a lake is 200 ft wide. two boats start moving toward each one other from opposite shores. in 1 minute, the first boat goes 40 ft, and the second boat goes 30 feet. what would be the distance between the boats after one minute?

The value represents the climber's change in elevation during the first minute of the training session is  1/5.

Given,

During the second minute of a two-minute training session, a rock climber completed a 12-meter ascent up the wall. The climber returned to the identical location she had been in at the beginning of the two-minute session.

Let x be the distance climbed by the climber is x m

During the first minutes(60 seconds): distance climbed =\(\frac{x}{60}\)

In the 2nd minute, they climbed 12 m higher than in the 1st minute.

Now, the distance climbed by the climbed in the Second minute = \(\frac{x+12}{60}\)

Now, the change in the elevation during the first minute of the training session= \(\frac{x+12}{60}-\frac{x}{60} = \frac{12}{60}=\frac{2}{10}=\frac{1}{5}\)

Hence, the value represents the climber's change in elevation during the first minute of the training session is \(\frac{1}{5}\)

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According to the Intermediate Value Theorem, there must be at least one value c in the range (a, b) such that f(c) = 0 for a continuous function f(x) if f(a) and f(b) have opposite signs.

Think about the formula cos(x) = 4x4. Cos(x) and 4x4 are continuous functions, hence this function is also continuous.

We can evaluate f(a) and f(b) for certain values of x to determine the interval (a, b) where the function changes sign.Assume that the interval's ends are a = 0 and b = 1. By calculating f(0) = cos(0) - 4(0)4 = 1 - 0 = 1, and f(1) = cos(1) - 4(1)4 = -0.134 0, the equations are evaluated.

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Answer:

9 gallons were used

Step-by-step explanation:

There are 8 pints to 1 gallon

72 jars holding 1 pint each means 72 pints total

72/8=9

Beth used 9 gallons

P.S. Can I get brainlist

Por lo tanto, el ciclomotor tardaría 6 horas en recorrer la misma distancia que el automóvil que tarda 3 horas a una velocidad de 90 km/h. ¡Espero que esto te ayude!

Para calcular el tiempo que tarda un ciclomotor a una velocidad de 45 km/h en realizar el mismo trayecto que un automóvil que circula a 90 km/h y tarda 3 horas en llegar a su destino, necesitamos utilizar la fórmula de la velocidad media.
La velocidad media se calcula dividiendo la distancia recorrida por el tiempo que tarda en recorrerla.

Sabemos que el automóvil tarda 3 horas en llegar a su destino y circula a una velocidad de 90 km/h.

Por lo tanto, podemos calcular la distancia que recorre utilizando la fórmula de la distancia:
Distancia = Velocidad x Tiempo
Distancia = 90 km/h x 3 h
Distancia = 270 km
Ahora que sabemos que el automóvil recorre una distancia de 270 km, podemos calcular el tiempo que tardaría el ciclomotor en recorrer la misma distancia a una velocidad de 45 km/h utilizando la fórmula de la velocidad media:
Velocidad media = Distancia / Tiempo
Tiempo = Distancia / Velocidad media
Tiempo = 270 km / 45 km/h
Tiempo = 6 horas

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The rate of change of volume (dV/dt) of a cone is 28π.

The volume (V) of a cone can be expressed as V = (1/3)πr²h, where r is the radius of the base and h is the height. To find the rate of change of volume with respect to time (dV/dt), we can differentiate the volume equation with respect to time.

dV/dt = (1/3)π(2r)(dr/dt)h + (1/3)πr²(dh/dt)

Given that dV/dt = 28π, we can set up the equation:

28π = (1/3)π(2r)(dr/dt)h + (1/3)πr²(dh/dt)

Simplifying the equation and solving for the unknown values (dr/dt and dh/dt) would require additional information such as the values of r and h and their rates of change.

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Answer:

12.5 minutes.

Step-by-step explanation:

The number -8 indicates that the paper uses 8 pages per minute. You can solve the equation by simply dividing 100/8.

You can also find the answer by solving the equation for the value t. Subtract 100 from both sides, and you will get -8t = -100. Then, divide both sides by -8 and you will get 12.5.

Answer:76904685 ways

please give brainliest

Answer:

See graph

Step-by-step explanation:

Answer:

\( \frac{2}{5} \)

Step-by-step explanation:

\( \frac{11}{15} - \frac{1}{3} \\ \frac{11}{15} - \frac{1 \times 5}{3 \times 5} \\ \frac{11}{15} - \frac{5}{15} \\ \frac{6}{15} \\ \frac{6 \div 3}{15 \div 3} \\ \frac{2}{5} \)

11/15 - 1/3 is 2/5.

Given that we need to simplify 11/15 - 1/3.

So,

There must be a common denominator in order to subtract fractions. Since both 3 and 15 can be divided into it in this instance, the common denominator is 15.

If you multiply the numerator and denominator of 1/3 by 5/5 to get a denominator of 15, you can write 11/15 - 1/3 as (11/15) - (5/15).

You can now take the numerators away:

(11/15) - (5/15) = (11 - 5)/15 = 6/15

By dividing the numerator and denominator by their largest common factor, which is 3, the fraction 6/15 can be made even simpler:

6/15 ÷ 3/3 = 2/5

Therefore, 11/15 - 1/3 is 2/5.

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1. The alternative hypothesis (\(H_a\)) is that the percentage is actually more than the reported percentage \(H_a\): p > 0.41. 2. The test statistic is 2.89. 3. Since the alternative hypothesis states that the percentage is "more than" the reported percentage, the test is one-tailed. 4. The critical value for a one-tailed z-test with a significance level of 0.01. 5. The test statistic (2.89) is greater than the critical value (2.33). 6. A laptop is more than the reported percentage of 41%.

Step 1 of 6: State the null and alternative hypotheses.

The null hypothesis (H₀) is that the percentage of readers who own a laptop is 41% (reported percentage):

H₀: p = 0.41

The alternative hypothesis (Ha) is that the percentage is actually more than the reported percentage:

\(H_a\): p > 0.41

Step 2 of 6: Find the value of the test statistic. Round your answer to two decimal places.

To find the test statistic, we can use the formula for the z-test for proportions:

z = (\(\hat p\) - p) / √(p * (1 - p) / n)

Where:

\(\hat p\) is the sample proportion (50% = 0.50)

p is the hypothesized proportion (41% = 0.41)

n is the sample size (260)

Calculating the test statistic:

z = (0.50 - 0.41) / √(0.41 * (1 - 0.41) / 260)

z ≈ 2.89

Step 3 of 6: Specify if the test is one-tailed or two-tailed.

Since the alternative hypothesis states that the percentage is "more than" the reported percentage, the test is one-tailed.

Step 4 of 6: Determine the decision rule for rejecting the null hypothesis, H0.

To determine the decision rule, we compare the test statistic to the critical value at a given significance level (α). In this case, the significance level is 0.01.

Looking up the critical value for a one-tailed z-test with a significance level of 0.01, we find it to be approximately 2.33.

Step 5 of 6: Make the decision to reject or fail to reject the null hypothesis.

Since the test statistic (2.89) is greater than the critical value (2.33), we can reject the null hypothesis.

Step 6 of 6: State the conclusion of the hypothesis test.

Based on the sample data, there is sufficient evidence at the 0.01 level to support the marketing executive's claim that the percentage of readers who own a laptop is more than the reported percentage of 41%.

The complete question is:

A publisher reports that 41% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually more than the reported percentage. A random sample of 260 found that 50% of the readers owned a laptop. Is there sufficient evidence at the 0.01 level to support the executive's claim?

Step 1 of 6: State the null and alternative hypotheses.

Step 2 of 6: Find the value of the test statistic. Round your answer to two decimal places.

Step 3 of 6: Specify if the test is one-tailed or two-tailed.

Step 4 of 6: Determine the decision rule for rejecting the null hypothesis, H₀.

Step 5 of 6: Make the decision to reject or fail to reject the null hypothesis.

Step 6 of 6: State the conclusion of the hypothesis test.

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Answer:

6/5

Step-by-step explanation:

3/4 ÷ 5/8

Keep Change Flip

3/4x8/5

=6/5

Hope this helps :)

The critical value of t for constructing a 99% confidence interval with a sample size of 30 and a sample standard deviation of 0.05 is 2.7564.

A confidence interval is a range of values within which the population parameter is estimated to lie with a certain level of confidence. In this case, we are constructing a 99% confidence interval for the population mean. The critical value of t is used to determine the width of the confidence interval.

The formula for calculating the confidence interval for the population mean is:

Confidence interval = sample mean ± (critical value) * (standard deviation of the sample / square root of the sample size)

Given that the sample size is 30 (n = 30) and the standard deviation of the sample is 0.05 (S = 0.05), we need to find the critical value of t for a 99% confidence level. The critical value of t depends on the desired confidence level and the degrees of freedom, which is equal to n - 1 in this case (30 - 1 = 29). Looking up the critical value in a t-table or using statistical software, we find that the critical value of t for a 99% confidence level with 29 degrees of freedom is approximately 2.7564.

Therefore, the 99% confidence interval for the population mean would be calculated as follows: sample mean ± (2.7564) * (0.05 / √30). The final result would be a range of values within which we can be 99% confident that the true population mean lies.

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To rewrite the expression 1 - cos^2(theta) without using absolute values for the given values of theta (2.5 < theta < 3), we can utilize the trigonometric identity for cosine squared:

cos^2(theta) = 1 - sin^2(theta)

Now, let's substitute this identity into the expression:

1 - cos^2(theta) = 1 - (1 - sin^2(theta))

= 1 - 1 + sin^2(theta)

= sin^2(theta)

Therefore, for the given range of theta (2.5 < theta < 3), the expression 1 - cos^2(theta) is equivalent to sin^2(theta).

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Answer:

Rhombus

Step-by-step explanation:

it's like a diamond but it's a little bit thicker

Answer:B

Step-by-step explanation:

B is the answer

15.56 in.

Step-by-step explanation:

i'm pretty sure i did it right, but im not sure. i haven't done geometry in like over 2 years.

find the hypotenuse of the triangle with 7 in. and 12 in. as your legs with the Pythgorean theorem (a^2 + b^2 = c^2, c equals the hypotenuse)

use that number you just got (I got ) and use it as one leg, and 7 in. as the other leg, with d as your hypotenuse

use the Phythagorean theorem again to find d, andddd... you've got your answer!

Answer: Ok well when you do the math you get 14.76 then round to the nearest tenth of an inch you get 17.8. So, d ≈ 14.8

Step-by-step explanation:

I did the math...