Use the standard normal distribution or the t-distribution to construct a 90% confidenceinterval for the population mean. Justify your decision. If neither distribution can be used,explain why. Interpret the results.In a random sample of 50 people, the mean body mass index (BMI) was 26.9 and thestandard deviation was 6.06.O B. Neither distribution can be used to construct the confidence interval.Interpret the results. Choose the correct answer below.O A. If a large sample of people are taken approximately 90% of them will have aBMI between the bounds of the confidence interval.OB. It can be said that 90% of people have a mi between the bounds of theconfidence intervalO C. With 90% confidence, it can be said that the population mean BMI is betweenthe bounds of the confidence interval.OD. Neither distribution can be used to construct the confidence interval.PS

The value of the distance across the sea is 302 feet

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.

Triangle PRE and triangle POC are similar triangles based on the angle - angle similarity. Hence:

PR / PO = RE/OC

substituting:

x/ (x + 135) = 185 / 335

335x = 185x + 45225

150x = 45225

x = 302 feet

The value of PR is 302 feet

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The measure of the angles is the same. After a dilation what changes is the length of the sides, but the angles are the same of

The second choice is correct.

Answer:

\( - \frac{ 1}{2} \cos(2x) + c\)

The path described by the limit of the radar is the circle 50 km circle, and

the path of the ship is the 60 km dashed straight line.

The shortest distance between the ship and Point O, \(\overline {OP}\) is (C) 40 km

Reasons:

The tracking distance of the radar, r = 50 km

Distance the ship moves while within the reach of the radar = 60 km.

Required:

The shortest distance between the ship and the Point O

Solution:

The closest distance between the path of the ship and the Point O is given

by the perpendicular distance from the Point O to the path of the ship

which is given by Pythagoras's theorem and that the perpendicular line

from O to the path of the ship bisects the length of the ship's path.

Let A and B represent the points where the path of the ship intersects with

the circumference of the radar, and let P represent the point the

perpendicular from O intersects AB, we have;

\(\overline {AO}\) = The radius of the radar = 50 km

\(\overline {AB}\) = \(\overline {AP}\) + \(\overline {PB}\)  (segment addition postulate)

\(\overline {AB}\)  = 60 (given)

\(\overline {AP}\) + \(\overline {PB}\) = 60 (transitive property)

\(\overline {AP}\) = \(\overline {PB}\) (definition of \(\overline {AB}\) bisected by \(\overline {OP}\))

∴ \(\overline {AP}\) + \(\overline {PB}\) = \(\overline {AP}\) + \(\overline {AP}\)  = 2× \(\overline {AP}\) = 60

\(\overline {AP}\) = 30

\(\overline {AO}\)² = \(\overline {OP}\)² + \(\overline {AP}\)² (Pythagoras's theorem)

\(\overline {OP}\)² = \(\overline {AO}\)² - \(\overline {AP}\)²

∴  \(\overline {OP}\)² = 50² - 30² = 1600

\(\overline {OP}\) = √(1600) = 40

\(\overline {OP}\) = 40

The shortest distance between the ship and Point O, \(\overline {OP}\) is (C) 40 km

Learn more here:

https://brainly.com/question/10424797

The shortest distance between the ship and point O is 40 kilometers. (Option C)

The shortest distance between the ship and point O is the distance perpendicular to the line segment AB. We calculate the angle B by the law of cosine:

\(B = \cos^{-1}\left[\frac{50^{2}-60^{2}-50^{2}}{-2\cdot (50)\cdot (60)} \right]\)

\(B \approx 53.130^{\circ}\)

Now we calculate the shortest distance by trigonometric functions:

\(d = OB\cdot \sin B\)

\(d = 50\cdot \sin 53.130^{\circ}\)

\(d = 40\,km\)

The shortest distance between the ship and point O is 40 kilometers. (Option C)

We kindly invite to check this question on law of cosine: https://brainly.com/question/24077856

Answer:

11.993

Step-by-step explanation:

Trust

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

Learn more about mean absolute deviation at: https://brainly.com/question/447169

#SPJ1

Answer:

Since f(-1) = 0 and f(-2) = 0, we can set up two equations:

(-1)³ + p(-1)² - q(-1) - 4 = 0

(-2)³ + p(-2)² - q(-2) - 4 = 0

Simplifying each equation, we get:

-1 + p - q - 4 = 0

-8 + 4p - 2q - 4 = 0

Simplifying further, we get:

p - q = 5

2p - q = 6

Solving for p and q, we can add the two equations together to eliminate q:

p - q + 2p - q = 5 + 6

3p - 2q = 11

Then, we can substitute the value of q from the first equation into this equation to solve for p:

3p - 2(q + 5) = 11

3p - 2q - 10 = 11

3p - 2q = 21

3p - 2(5 + p) = 21

p - 10 = 7

p = 17

Substituting this value of p into either equation for q, we get:

q = p - 5 = 12

Therefore, the coefficients are p = 17 and q = 12. To factor the expression, we can use synthetic division or long division. Using synthetic division, we get:

-1 | 1 17 -12 -4

|__ -1 -16 28

1 1 12

This gives us the factorization:

f(x) = (x + 1)(x² + x + 12)

To find the solutions, we can use the quadratic formula on the quadratic factor:

x = (-1 ± sqrt(1 - 4(1)(12))) / 2(1)

x = (-1 ± sqrt(1 - 48)) / 2

x = (-1 ± sqrt(-47)) / 2

x1 = (-1 + i(sqrt(47))) / 2

x2 = (-1 - i(sqrt(47))) / 2

Therefore, the solutions are x1 = (-1 + i(sqrt(47))) / 2, x2 = (-1 - i(sqrt(47))) / 2, and x3 = -1.

Step-by-step explanation:

give me thanks for more! your welcome bud!

Answer:

0

Step-by-step explanation:

1. First, we should know the slope-intercept form of any equation: y = mx + b.

2. In the equation y = -2/3(x), it appears that the variables we can see are y, m, and x. However, the y-intercept, b, is still there with the value of 0.

Therefore, the y-intercept is 0.

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer: its c.  x(12root x power 5)

Step-by-step explanation:

Answer:

All real numbers less than or equal to 4.

f(x) ≤ 4

Interval notation:  (-∞, 4]

Step-by-step explanation:

Given the quadratic function, f(x) = -(x + 5)(x + 1), where the vertex occurs at point, (-3, 4):

Since the graph of the parabola opens down, then it means that the vertex  is its maximum point. In reference to the vertical points on the graph (i.e., the range values), then the vertex sets the maximum range value of k = 4. This implies that the maximum possible range value is from negative infinity to positive 4.

Therefore, the range of the function is: all real numbers less than to or equal to 4.

f(x) ≤ 4

Interval notation: (- ∞, 4]

Answer:

its A on edge

Step-by-step explanation:

Just took the test

Answer: 5/3a + 4/2b

Step-by-step explanation:

\(\dfrac{4}{3} a-\dfrac{1}{2} b+\dfrac{1}{3} a+\dfrac{5}{2} b\)

Rearrange:

\(\dfrac{4}{3} a+\dfrac{1}{3} a-\dfrac{1}{2} b+\dfrac{5}{2} b\)

Combine Like Terms:

\(\dfrac{4}{3} a+\dfrac{1}{3} a=\dfrac{5}{3} a\\-\dfrac{1}{2}b+\dfrac{5}{2} b=\dfrac{4}{2} b\)

\(\fbox{$\dfrac{5}{3}$a + $\dfrac{4}{2}$b}\)

Answer:

$2,070 is how much she will use for bills.

Answer:

Step-by-step explanation:

Remark

Interesting detail.

Origami Paper is square -- perfectly.

So the properties listed will be related to a square.

Givens

Area = 35 in^2

Formulas

Area = s^2  where s is the length of 1 side.

Perimeter = 4s

Solution

Area = s^2 = 35

s^2 = 35                     Take the square root of both sides.

√s^2 = √35

s = 5.91

Perimeter = 4s

s = 5.91

Perimeter = 4*5.91

Perimeter = 23.66

The way the question is worded, the answer you should submit is

Perimeter = 4 * √35

The  probability that the next chew Hannah removes from the bag will be a flavor other than peach is 60%.

The probability of an event is a number used in science to describe how probable it is that the event will take place. In terms of percentage notation, it is stated as a number between 0 and 1, or between 0% and 100%. The higher the probability, the more probable it is that the event will take place.

The total number of chews that Hannah removed from the bag is 20.

Out of these 20 chews, a peach chew was selected 8 times, so the number of non-peach chews is 20 - 8 = 12.

Therefore, the probability that the next chew Hannah removes from the bag will be a flavor other than peach is 12/20 = 0.6.

To express this probability as a percentage, we multiply it by 100 and round it to the nearest whole number:

0.6 * 100 = 60

So the probability that the next chew Hannah removes from the bag will be a flavor other than peach is 60%.

To know more about Probability visit:

brainly.com/question/15124899

#SPJ1

If 4/10 of Lake Okeechobee is covered in a harmful algal bloom in the first month, then 6/10 of the lake is not covered in the bloom.

In the second month, if 90% of the lake is covered in the bloom, then 10% of the lake is not covered in the bloom.

Since the amount of the lake that is covered by the bloom increased from 4/10 to 9/10, this is an increase of:

(9/10) / (4/10) = (9/10) x (10/4) = 2.25 times

Therefore, the algal bloom increased by 2.25 times.

Answer:

multiply 1 1/3 by 8x6 and see how many packages

Answer:

\(\sqrt{(-\frac{806}{94}+8)^2+(-\frac{215}{94}-9)^2+ (-\frac{251}{94}-8)^2}\) Whatever this number may be

Step-by-step explanation:

The distance will be on the plane containing the point, and perpendicular to the line - which exists as long as the point doesn't sit on the line, but in that case our distance will simply be zero. Good news, since the line is given in parametric equation, the equation of the plane is easy to write by simply computing the dot product between the vector generating the line - or any multiple of it! - and the vector joining a random point x y z of the space with our given point, and setting it equal to zero. The equation of our plane is thus

\(6(x-(-8)) + 3(y-9) -7(z-8) = 0\\6(x+8)+3(y-9)-7(z-8)=0\)

We could multiply now or later, doesn't matter, so let's wait. Now, we need to know when the line passes through the plane, so let's plug the (parametric) coordinate of the line and let's see for which value of t that happens:

\(6(-2-6t+8) +3(1-3t -9) -7(-5+7t-8) =0\\6(6-6t) -3(8+3t)+7(13-7t)=0\\36-36t-24-9t+91-49t = 0\\t=103/94\)

Found this value of t, we can use it to find the coordinate of the point in common between the line and the plane:

\((-2-6\frac {103}{94};1-3\frac {103}{94}; -5+7\frac {103}{94}) = (-\frac{806}{94};-\frac{215}{94};-\frac{251}{94})\)

At this point it's simply a matter of calculating the distance between two points in 3D space, given by the usual \(\sqrt{\Delta x^2+\Delta y^2+\Delta z^2}\), whatever abomination of a number it might become:

\(\sqrt{(-\frac{806}{94}+8)^2+(-\frac{215}{94}-9)^2+ (-\frac{251}{94}-8)^2}\)

At this point is a simple exercise in number crunching which I refuse to entertain more - but please double check all calculation above in case I didn't notice something.

Answer: y=-32

Step-by-step explanation:

1. Simplify:

-6y-90=-3y+6

2. Add like terms:

-96=3y

=> y=-32

Have a nice day! :)

Answer:

1. 11 married females because out of the 19 married, only 8 had more than 15 years of service and 19 - 8 = 11.

2. 10 married males because of out the 18 married with more than 15 years of service, 8 were females and 18 - 8 = 10.

3. 9 single females because out of the 17 with more than 15 years of service, 8 were married and 17 - 8 = 9.

4. 8 married females because it literally says, "8 married female with more than 15 years of service".

gotta go hope this helps sry

Answer:

7, 4

Step-by-step explanation:

x = 25 cent books, y = 35 cent books

x + y = 11

.25x + .35y = 3.15   Multiply this to get the x to be the same, x4=

x + 1.4y = 12.6    Now subtract the first equation

-x  + y   =  11

.4y = 1.6

y = 4

11 - 4 = 7    x = 7

The journal entry for the sale of the bonds on June 1, 2022 would be:

Date           Account title and explanation                 Debit              Credit

June 1        Cash                                                     $ 343, 200

                 Premium on bonds payable                                          $ 13, 200  

                 Bonds payable                                                           $ 330, 000

When a company issues bonds, it needs to record the issuance in its accounting records. Determine the terms of the bond issuance, including the face value of the bonds, the interest rate, the maturity date, and any other terms that may apply.

Cash should be debited by the amount acquired from the sale of the bond which is :

= 330, 000 x 104 / 100

= $ 343, 200

If there is a premium, which means bond selling price is greater than par value, take this to the Premium on Bonds Payable account . The premium where is:

= 343, 200 - 330, 000

$ 13, 200

The rest should be credited to Bond Payable.

There is no given question in the first picture so please repost.

Find out more on Bonds at https://brainly.com/question/28524849

#SPJ1

Answer:

two hundred and forty inches

Answer:40

Step-by-step explanation:Parallelogram

Solve for area

A=40

Solution

A=bh=8·5=40

formula A=base*height

The addition of the given fraction expression is 7/8.

In mathematics, an expression is a combination of numbers, symbols, and/or operators that represents a mathematical quantity or relationship. It can be a simple combination of numbers or a more complex combination involving variables, functions, or other mathematical constructs.

When adding fractions with the same denominator, you simply add the numerators and keep the denominator the same.

In this case, both fractions have a denominator of 8, so we can add their numerators:

5/8 + 2/8 = (5 + 2)/8 = 7/8

Thus, the sum of 5/8 and 2/8 is 7/8.

For more details regarding fractions, visit:

https://brainly.com/question/10354322

#SPJ1

Answer: 478161

Step-by-step explanation:

Explanation:

Rapid corporate growth in sales and profits can create financing problems due to increased working capital needs, limited internal cash generation, external financing constraints, inefficient financial management, increased debt levels, and market volatility. These factors can strain a company's cash flow, make it difficult to obtain funding, and increase financial risk. Careful financial planning, disciplined management, and prudent borrowing are essential to mitigate these challenges.

Answer:

y = -x + 4

Step-by-step explanation:

to find the equation of a straight line with the slope and a pair of coordinates given the equation is

y - y1 = m(x - x1)

where x is the slope

x1 and y1 are the coordinates given

By substitution,

y - 3 = -1(x -1)

y - 3 = - x + 1

y = - x + 1 +3

y = -x + 4

Answer:

  25 yards long, 5 yards wide

Step-by-step explanation:

The given parameters can be used with the area and perimeter formulas for a rectangle to form an equation that can be solved for the dimensions.

The length and width can be represented by x and y. The formulas for area and perimeter give two equations relating these two variables:

  A = LW   ⇒   125 = xy

  P = 2(L+W)   ⇒ 60 = 2(x +y)

Using the second equation to write an expression for y, we have ...

  y = 30 -x

Substituting into the first equation gives ...

  125 = x(30 -x)

This suggests we can find x by looking for factors of 125 that total 30.

  125 = 1(125) = 5(25)

Factor totals are 126 and 30. This means we have ...

  x = 5, y = 30-5 = 25

or

  x = 25, y = 30 -25 = 5

The rectangle dimensions are 5 yards by 25 yards.

__

Additional comment

The two equations can also be solved graphically, as in the attachment.

The rectangle will be 25 yards long, and 5 yards wide.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

The given parameters can be used with the area and perimeter formulas for a rectangle to form an equation that can be solved for the dimensions.

The length and width can be represented by x and y. The formulas for area and perimeter give two equations relating to these two variables:

 A = LW   ⇒   125 = xy

 P = 2(L+W)   ⇒ 60 = 2(x +y)

Using the second equation to write an expression for y, we have ...

y = 30 -x

Substituting into the first equation gives ...

125 = x(30 -x)

This suggests we can find x by looking for factors of 125 that total 30.

125 = 1(125) = 5(25)

Factor totals are 126 and 30. This means we have.

x = 5, y = 30-5 = 25

x = 25, y = 30 -25 = 5

Therefore, the rectangle will be 25 yards long, and 5 yards wide.

To know more about the area follow

https://brainly.com/question/25073211

#SPJ1