find the critical value and rejection region for the type of t-test with level of signifance a and sample size n left tailed test a = 0.05 n =33

The value of the fourth quartile q3=66.951  when the mean is 63.6 inches and the standard deviation is 2.5 inches.

The normal distribution: This is the distribution of type of continuous probability distribution in which most data points cluster toward the middle of the range, while the rest taper off symmetrically toward either extreme.

The middle of the range is also known as the mean of the distribution.

The mean and standard deviation are given

sd=2.5

μ=63.6

P(X<Q3)=0.75

By using the Z- table we get the value of the inv norm(0.75)

inv norm(0.75)=0.6745

Now know all values to find the Q3 substitute in the Q3 formula

Q3=65.4+23*(0.6745)

   =66..981350

Q3=66.951

To know more about Normal distribution:

https://brainly.com/question/9296296

#SPJ4

The basic parts of a circle include its diameter, circumference, radius, arc, chord, tangent, tangent, section, and segment.

the surface or circumference of a circle, ball, and other object measured in a straight line The radius and diameter of a circle are equal. The length of such a line. whatever radiating or radial component. A circle's chord is the line segment that connects any two locations on the circle's circumference. It should be remembered that a circle's diameter is defined as the lengthiest chord that runs across the center of the circle.

Here,

given

The letter "C" should be in the center.

radius=r=AC=CB

Diameter=d=2r=AB.

Therefore , the solution to the given problem of circle comes out to be ,the basic parts of a circle include its diameter, circumference, radius, arc, chord, tangent, tangent, sector, and segment.

To know more about circle visit :-

brainly.com/question/29142813

#SPJ1

Answer:

p = -2

Step-by-step explanation:

-6 -2p = p

-6 = 3p

p = -2

pretty sure it’s D

hope that helps

Answer: The length is 7, the width is 3.

Step-by-step explanation:

7*3 = 21 which is the area, also 7 and 3 are the only factors of 21.

7+7 is 14,

3+3 is 6

14 + 6 is 20 which is the perimeter.

To find the missing length of an isosceles triangle, you need to have information about the lengths of at least two sides or the lengths of one side and an angle.

If you know the lengths of the two equal sides, you can easily find the length of the remaining side. Since an isosceles triangle has two equal sides, the remaining side will also have the same length as the other two sides.

If you know the length of one side and an angle, you can use trigonometric functions to find the missing length. For example, if you know the length of one side and the angle opposite to it, you can use the sine or cosine function to find the length of the missing side.

Alternatively, if you know the length of the base and the altitude (perpendicular height) of the triangle, you can use the Pythagorean theorem to find the length of the missing side.

In summary, the method to find the missing length of an isosceles triangle depends on the information you have about the triangle, such as the lengths of the sides, angles, or other geometric properties.

To know more about isosceles triangle click here :

https://brainly.com/question/28412104

#SPJ4

Answer:

(0. - 11 )

Step-by-step explanation:

To find the y- intercept let x = 0 and solve for y, that is

y = - 3(0)² - 7(0) - 11 = 0 - 0 - 11 = - 11

y- intercept = (0, - 11 )

You can infer causality from a correlational result, but only when the r value is greater than:

C. 1

Causality refers to a situation in which one event causes another. When there is a correlation between two variables, it means that they tend to move in the same direction.

However, this does not necessarily mean that one event causes the other. In order for a correlation to indicate causality, the correlation coefficient (r) must be greater than 1. If the correlation coefficient is below 1, then there is not enough evidence to suggest that one event causes the other.

In addition, there are other factors that need to be considered when assessing causality from a correlational result.

For example, the strength of the relationship between the variables, the direction of the relationship, and the consistency of the results over time. It is also important to consider the context in which the research was conducted, as this may have an effect on the results.

Learn more about causality:

brainly.com/question/9369134

#SPJ4

Answer:

14:5

Step-by-step explanation:

42:15

Ratios are just like fractions and to find an equivalent one we find a common factor

15 factors are 1 and 15 and 3 and 5

Since 3 and 5 is the only one that is not 1 we can use we can test by dividing 42 by 3

42/3=14

And then we just divide the 15 by 3 too to get

14:5

Hopes this helps please mark brainliest

Answer:

4 is the slope

Step-by-step explanation:

y = -5+4x

We know the slope intercept form is

y = mx+b

where m is the slope and b is the y intercept

y = 4x-5

where 4 is the slope and -5 is the y intercept

Answer:

about 10.7%

Step-by-step explanation:

51300x=45800

x= approx. 0.893 of original so 1-.893=.107

.107*100=approx. 10.7% decrease

The value of the infinite series as n tends to 0 is: 0

Infinite series is defined as the sum of infinitely many numbers related in a given way and listed in a given order. Infinite series are important in mathematics and in such disciplines as physics, chemistry, biology, and engineering.

From the infinite series, we want to find the value of the series as n tends to 0.

We are given the series as:

x/2ˣ

At x = 0, we have:

0/2⁰ = 0/1 = 0

Read more about infinite series at: https://brainly.com/question/30221799

#SPJ1

From the setup of the problem, the "length of the top of the bookcase, measured along the attic ceiling" will be the hypotenuse of a right triangle, the length "AB". We have both the angle between AB and AC and the length of AC (3.24 meters), so we can use trigonometric identities.

The cosine of the 40 degree angle between AB and AC is equivalent to the length of AC divided by the length of AB. Equivalently, we have:

\(cos(40) = \frac{3.24}{h}\)

where "h", the hypotenuse, is the length we want. Rearranging the formula to solve for h we have that

\($h = \frac{3.24}{cos(40)}$\)

which is 4.2295... meters. Converting to centimeters (multiplying by 100) we have that h = 422.95... centimeters, or if we round the value, h = 423 centimeters.

Answer:

the answer is the first choice please mark me brainliest

The to your question is that we can use the normal distribution to estimate the probability that the product will last between 16.536 and 8.054 years.


In this case, we want to calculate the probability for x = 16.536 and x = 8.054. The mean (μ) is 14.242 years, and the standard deviation (σ) is 3.978 years.

Using the formula, we can calculate the z-scores for both values:
For x = 16.536: z = (16.536 - 14.242) / 3.978
For x = 8.054: z = (8.054 - 14.242) / 3.978

Once we have the z-scores, we can look up the corresponding probabilities in the standard normal distribution table or use a calculator. Subtracting the probability for the lower z-score from the probability for the higher z-score will give us the probability that the product will last between 16.536 and 8.054 years.

To know more about probability visit:

https://brainly.com/question/31828911

#SPJ11

Answer:

Step-by-step explanation:

Add the two trips together for total Km’s:

4500 + 11700 = 16,200 km.

divide total km by speed:

16,200 / 1,100 = 14.727272 hours

0.727272 x 60 minutes per hour = 43.636363 minutes, round up to 44 minutes

total time: 14 hours and 44 minutes

Answer:

7/9

Step-by-step explanation:

8/9 + -1/9

Rewriting

8/9 - 1/9

Since the denominators are the same, subtract the numerators

(8-1) /9

7/9

Answer:

7/9 is the answer. I hope this helps c:

Step 1: Simplify both sides of the equation.

17−2n=9

17+−2n=9

−2n+17=9

Step 2: Subtract 17 from both sides.

−2n+17−17=9−17

−2n=−8

Step 3: Divide both sides by -2.

−2n−2=−8−2

n=4

Answer:

12

jeff sdjjncdascjodscsdcsdcsd

Answer:to find the coordinates of $P$ so that $AP$ to $PB$ is the given ratio, first look for the slope in rise over run form. Then, determine the ratio by thinking of it as dividing into segments.

Step-by-step explanation:

;)

The simplified fraction is 23/50.

We have,

To simplify the fraction 23/50, find the greatest common divisor (GCD) of the numerator (23) and the denominator (50), and then divide both the numerator and the denominator by the GCD.

The GCD of 23 and 50 is 1, as they have no common factors other than 1.

Now, divide both the numerator and the denominator by 1:

23 ÷ 1 = 23

50 ÷ 1 = 50

Thus,

The simplified fraction is 23/50.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ6

Answer:

\(4 \: \: ft\)

Step-by-step explanation:

\(64 = x \times x \times x \\ {x}^{3} = 64 \\ x = 4\)

to check whether the answer correct or wrong

\(x \times x \times x \\ 4 \times 4 \times 4 \\ 16 \times 4 \\ = 64\)

The circle intersects the x-axis at x = -17 and x = 17 and y-axis at y = -17 and y = 17.

To determine where the circle intersects the x-axis and y-axis when the point (8,15) lies on a circle centered at (0,0), we can use the equation of a circle.

The equation of a circle with center (h, k) and radius r is given by:

\((x-h)^{2}\) + \((y-k)^{2}\) = \(r^{2}\)

In this case, the center of the circle is (0,0), so the equation becomes:

\(x^{2}\) + \(y^{2}\) = \(r^{2}\)

Substituting the point (8,15) into the equation, we have:

\(8^{2}\) + \(15^{2}\) =  \(r^{2}\)

64 + 225 =  \(r^{2}\)

289 =  \(r^{2}\)

Taking the square root of both sides, we find:

r = 17

Therefore, the equation of the circle is:

\(x^{2}\)  +  \(y^{2}\)  = \(17^{2}\)

Now, to determine where the circle intersects the x-axis, we set y = 0 in the equation:

\(x^{2}\)  + \(0^{2}\) = \(17^{2}\)

\(x^{2}\)  = 289

Taking the square root, we find:

x = ±17

So, the circle intersects the x-axis at x = -17 and x = 17.

To determine where the circle intersects the y-axis, we set x = 0 in the equation:

\(0^{2}\) +  \(y^{2}\)  = \(17^{2}\)

\(y^{2}\)  = 289

Taking the square root, we find:

y = ±17

Thus, the circle intersects the y-axis at y = -17 and y = 17.

By substituting the point (8,15) into the equation of the circle, we were able to determine its radius. Then, by setting y = 0 and x = 0 in the equation, we found the points where the circle intersects the x-axis and y-axis.

To learn more about circle here:

https://brainly.com/question/29130134

#SPJ4

Explanation

We are given the following data set:

"14, 13, 15, 18, 16, 16, 17, 25, 18, 10"

We are required to determine the following measures of central tendency:

• Mean

• Median

• Mode

We know that the mean is found by adding all numbers in the data set and then dividing by the number of values in the set.

Therefore, we have:

Hence, the mean is: