The data given to the right includes data from ​41 candies, and 9 of them are red. The company that makes the candy claims that 31​% of its candies are red. Use the sample data to construct a ​90% confidence interval estimate of the percentage of red candies. What do you conclude about the claim of 31​%?

Answer:

- 13 \(\frac{3}{4}\)

Step-by-step explanation:

- 4 \(\frac{1}{4}\) - 9 \(\frac{1}{2}\) ( change mixed numbers to improper fractions )

= - \(\frac{17}{4}\) - \(\frac{19}{2}\) ( multiply numerator/denominator by 2 )

= - \(\frac{17}{4}\) - \(\frac{19(2)}{2(2)}\)

= - \(\frac{17}{4}\) - \(\frac{38}{4}\) ( add the numerators leaving the common denominator )

= \(\frac{-17-38}{4}\)

= \(\frac{-55}{4}\)

= - \(\frac{55}{4}\)

= - 13 \(\frac{3}{4}\)

Answer:

no solution

Step-by-step explanation:

The solution to a system of equations is where the two graphs intersect.  The two lines do not intersect since the lines are parallel, so there is no solution.

Answer:  0.42171717 miles

Step-by-step explanation:

 for  inches to mile conversion  divide  by 63350

so got 0.421717

Answer: 5/6

Step-by-step explanation:

The reciprocal of a number is 1 divided by that number. The reciprocal of 6/5 is 5/6.

Answer:

5/6

Step-by-step explanation:

Well to find a fraction's reciprocal all you need is to flop it like this

6/5 => 5/6

so 5 takes the place of 6 and 6 takes the place of 5

that's how 6/5 turns into 5/6

Answer:

A. x is less than or equal to 1 OR x is greater than or more than 2

Answer:

17.394

Step-by-step explanation:

conversion

28 kilometers to miles

1 kilometer = 0.621371 miles

0.621371 miles * 28 kilometers

\(=\fbox{17.3984 miles}\)

The numerical value of x in angle ABD is 9 as angle ABC is divided into two equal halves.

An angle bisector divided an angle into two equal halves.

From the diagram:

Line BD divides angle ABC into two equal halves.

Angle ABD = ( 3x - 7 ) degrees

Angle DBC = 20 degrees

Since angle ABD and DBC are equal haves;

Angle ABD = Angle DBC

Plug in the values:

( 3x - 7 ) = 20

Solve for x:

3x - 7 = 20

Add 7 to both sides:

3x - 7 + 7 = 20 + 7

3x = 27

x = 27/3

x = 9

Therefore, the value of x is 9.

Option A)9 is the correct answer.

Learn more about angle bisector here: brainly.com/question/28565813

#SPJ1

Answer:

\(\boxed{x^2 = 16}\)

Step-by-step explanation:

Using Tangent Secant theorem:

(x)² = (2)(2+6)

x² = 2(8)

x² = 16

Both f(x) and g(x) have one x-intercept at x = -1/3.

Theorem A states that for a cubic function of the form f(x) = x^3 + x + b, with b > 1, the function f has exactly one x-intercept. Using Theorem B, we can conclude that for any nonzero real number k, the function g(x) = kf(x) = kx^3 + kx + bk also has exactly one x-intercept.

For example, if f(x) = x^3 + x + 5 and k = 2, then g(x) = 2x^3 + 2x + 10. Both f(x) and g(x) have exactly one x-intercept. This can be shown by solving the quadratic equation formed by setting f(x) = 0 or g(x) = 0. Doing this yields x = -1/3. Therefore, both f(x) and g(x) have one x-intercept at x = -1/3.4

Learn more about x-intercept here:

https://brainly.com/question/14180189

#SPJ4

a) The data is not symmetric

b) The complete table:

  Class interval         Frequency         Relative Frequency

c) Proportion of subdivisions has total length less than 2000 is 0.49

Proportion of the subdivisions has total length between 2000 and 4000 is 0.36

a) To draw the stem and leaf plot we take the thousandth place digit as stem and the leaf is obtained by remaining digits.

       Stem     Leaf

The data is not symmetric

b) To draw the histogram first we form the frequency distribution and the relative frequency using the formula

Relative Frequencies are given by

Relative frequency = Frequency / Total frequency

     Class interval         Frequency         Relative Frequency

                                       = 47

Histogram attached at end of solution

The histogram is approximately positively skewed.

c) Proportion of lengths less than 2000 = sum of relative frequency from 0 to 2000

= 0.26 + 0.23

Proportion of subdivisions has total length less than 2000 = 0.49

Proportion of length between 2000 and 4000 = sum of relative frequency between 2000 and 4000

= 0.21 + 0.15

Proportion of the subdivisions has total length between 2000 and 4000 = 0.36

For more questions on Class Interval Frequency

https://brainly.com/question/30194811

#SPJ4

Answer: To find area of a rectangle, multiply its base (length) by its height (width). Plug in the base, 7 meters, and the height, 8 meters. So the area of Rectangle DFBE is 56 square meters.

88m

HOPE THIS HELPS

False. It is not reasonable to assume all groups have equal variances in this case.

The standard deviation is a measure of variability or spread of the data. If the standard deviations of different groups are significantly different, then it suggests that the spread of the data within each group is also different. When comparing multiple groups, equal variances are typically assumed so that a valid statistical test can be performed.

If the variances are unequal, then a different type of test, such as Welch's ANOVA, should be used. In this case, the large difference in the standard deviations of the four groups (4974, 6585, 3288, 5488) suggests that it is not reasonable to assume equal variances and a different test should be used.

Learn more about variances:

https://brainly.com/question/15858152

#SPJ4

Answer:

-The total area of a Rectangular Prism:

\(A = 366\) \(in^{2}\)

Step-by-step explanation:

-To find the total area of a rectangular prism, you need this formula:

\(A = 2(l \cdot w + l \cdot h + w \cdot h)\)

\(l =\) Length

\(w =\) Width

\(h =\) Height

-Apply the length, width and height for the formula:

\(A = 2(11 \cdot 8 + 11 \cdot 5 + 8 \cdot 5)\)

\(l =\) 11 in

\(w =\) 8 in

\(h =\) 5 in

-Then, solve for the area:

\(A = 2(11 \cdot 8 + 11 \cdot 5 + 8 \cdot 5)\)

\(A = 2(88 + 55 + 40)\)

\(A = 2(143 + 40)\)

\(A = 2 \times 183\)

\(A = 366\)

So, the total area would be \(366\) \(in ^{2}\).

Answer:

17,912,62 it that answer

hello

the answer to the question is:

x³ - 3x² + 3x - 1 > (3/2)x(x - 1)² ---->

(x - 1)³ > (3/2)x(x - 1)² ----> x - 1 > (3/2)x ---->

(1/2)x < - 1 ----> x < 2

Step 1

Given;

Step 2

Test the option

Answer;

We should add 25 both side by method of completing the square.

We have to given that;

A student is solving the problem

x² + 10x + _ = 16 + _

Now, We can completing the square as;

⇒ x² + 10x + 5² = 16 + 5²

⇒ x² + 10x + 25 = 16 + 25

⇒ (x + 5)² = 16 + 25

Hence, We should add 25 both side by method of completing the square.

Learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ1

The mean of a dataset is the sum of all data elements divided by the count of the elements.

The location of the 6th score relative to the mean is 5 points below the mean

Let:

\(\bar x \to\) Mean

\(a \to\) 5 scores

\(b \to\) 6th scores

Given that:

\(n = 6\)

The 5 scores that are 1 above the mean implies that:

\(a = \bar x + 1\)

The mean of a dataset is calculated using:

\(\bar x = \frac{\sum x}{n}\)

So, we have:

\(\bar x =\frac{5a + b}{6}\)

\(\bar x =\frac{5(\bar x + 1) + b}{6}\)

Open brackets

\(\bar x =\frac{5\bar x + 5 + b}{6}\)

Multiply both sides by 6

\(6\bar x =5\bar x + 5 + b\)

Make b the subject

\(b = 6\bar x -5\bar x - 5\)

\(b = \bar x - 5\)

This means that the 6th score is 5 points below the mean

Read more about mean at:

https://brainly.com/question/17060266

Answer:

A square is a type of rectangle, so any square can also be called a rectangle. However, not all rectangles are squares.

A rectangle is a quadrilateral with four right angles, whereas a square is a special type of rectangle with four right angles and four equal sides.

So the shape that is both a rectangle and a square is a square.

Answer:

1) 7 pizzas

2) 20 people

Step-by-step explanation:

8 people for 2 pizzas is

4 people for 1 pizza

\(\frac{1}{4}\) = \(\frac{x}{28}\)

4 x 7 = 28

1 x 7 = 7

She will need to order 7 pizzas for 28 people.

1 pizza is needed for 4 people

5 pizzas will allow 20 people (5 x 4)

Angle 1 = 55 degrees ( corresponding angles are eqaul)

Answer:

30

Step-by-step explanation:

Use PEMDAS

parentheses is first

3+7=10

There's no exponents

You have to do it in order from left to right

6÷2=3

3*10=30

Answer:

The answer is 30.

First, start with 3 plus 7...that gives you 10. Then, 6 divided by 2 is 3. Lastly, multiply 10 by 3 and you've got 30!

If you can, please mark me brainliest!

A.  The payback period is 7.2 years. The net present value of the proposed investment is 3720.55.

B. No, the project does not meet the company's cash payback criteria.

C.  Yes, the project does meet the net present value criteria for acceptance.

A. The truck costs $55,440 and generates annual cost savings of $7,700. So the payback period is the cost of the truck divided the expected amount the truck will generate.

                $55,440 / $7,700 = 7.2 years

To solve for the net present value, we say

Net Present Value = ∑ [(Cash inflow in period t) / (1 + \(r^{t}\)] - Initial Investment.

NPV = (($7,700 / (1 + 0.08)¹) = 7 129.63

+ ($7,700 / (1 + 0.08)²) = 6601.51

+ .($7,700 / (1 + 0.08)³ = 6112.51

+ ($7,700 / (1 + 0.08)⁴) = 5659.73

+ ($7,700 / (1 + 0.08)⁵) = 5240.49

+ ($7,700 / (1 + 0.08)⁶) = 4 852.31

+ ($7,700 / (1 + 0.08)⁷) = 4492.88

+($7,700 / (1 + 0.08)⁸)  = 4160.07

+ ($27,600 / (1 + 0.08)⁸)) = 14911.42

- $55,440

We add all these values together and subtract by  $55,440

7 129.63 + 6601.51 + 6112.51 + 5659.73 + 5240.49 +4 852.31 + 4492.88 + 4160.07 + 14911.42 - $55,440

59160.55 - 55,440

NPV = 3720.55

B. The cash payback period of the project is 7.2 years. The company's cash payback criteria state that a project should not be accepted unless it has a payback period that is less than 50% of the asset's estimated useful life, which would be 4 years which is 50% of 8 years. Since 7.2 years is greater than 4 years, the project does not meet the company's cash payback criteria.

C. The positive NPV of $3,720.55 shows that embarking on the prooject will be valuable to the company. This means the project meets the NPV criteria for acceptance.

Find more exercises on net present value;

https://brainly.com/question/27557482

#SPJ1

x = p / (m + n) is factor of algebraic expression .

What does a math factor mean?

mx + nx = p

You can factor x out of the mx + nx.

x(m + n) = p

Now, simply divide by the m + n.

x = p / (m + n)

Learn more about factor

brainly.com/question/24182713

#SPJ9

The tangent line at that point is:

y = (-3/25)*x + 6/5

so m = -3/25, and b = 6/5

To find the slope at that point, we need to evaluate the derivative at that point.

y = 3/x

The derivative is:

y' = -3/x²

When x = 5, we have:

y' = -3/5² = -3/25

So that is the slope, m.

Now let's find the line.

The line must pass trhough the point (5, 3/5), then:

3/5 = (-3/25)*5 + b

3/5 = -3/5 + b

3/5 + 3/5 = b

6/5 = b

The equation of the line is:

y = (-3/25)*x + 6/5

Learn more about the tangent line:

https://brainly.com/question/30162650

#SPJ1

The correct set of ordered pairs for the given domain values {-12, -3, 0, 3, 12} is {(-12, -18), (-3, -3), (0, 2), (3, 7), (12, 22)}.

To find the corresponding set of ordered pairs for the given domain values {-12, -3, 0, 3, 12}, we can substitute each value into the function f(x) = (5/3)x + 2. Let's calculate the corresponding y-values for each x-value:

For x = -12:

f(-12) = (5/3)(-12) + 2 = -20 + 2 = -18

For x = -3:

f(-3) = (5/3)(-3) + 2 = -5 + 2 = -3

For x = 0:

f(0) = (5/3)(0) + 2 = 0 + 2 = 2

For x = 3:

f(3) = (5/3)(3) + 2 = 5 + 2 = 7

For x = 12:

f(12) = (5/3)(12) + 2 = 20 + 2 = 22

The corresponding ordered pairs are:

(-12, -18)

(-3, -3)

(0, 2)

(3, 7)

(12, 22)

Therefore, the correct set of ordered pairs for the given domain values {-12, -3, 0, 3, 12} is:

{(-12, -18), (-3, -3), (0, 2), (3, 7), (12, 22)}.

for such more question on domain

https://brainly.com/question/16444481

#SPJ8

The value of angle x is 133 degree

And the equation of line be of the form,

⇒  y - y₁ = 133(x - x₁)

In the given line,

one angle is of 47 degree

And other is x degree

To find the value of x,

Since we know that,

The angle  of line is 180 degree.

Therefore,

⇒ x + 47 = 180

⇒         x = 133 degree

Therefore slope of this line be 133 degree

Now let this line is  passing through (x₁, y₁)

Hence,

The equation of  line be,

⇒ y - y₁ = (slope)(x - x₁)

⇒  y - y₁ = 133(x - x₁)

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ1

Answer:

8

Step-by-step explanation:

4x2