Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of the given range of pounds lost. Between 8 pounds and 11 pounds.
A. 1/2.B. 1/4.C. 2/3.D. 1/3.

Answer:C

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Source: Dude trust me

Answer: The answer is h=-6, k=-30

Step-by-step explanation:

d on edg

Answer:

a. All measures exist

b. The Mean and the mode

c. Positively skewed

d. The mean and the median

Step-by-step explanation:

a. The frequencies of the data are;

1       2

2      4

3       1

5       2

6       3

9        1

11        1

14        1

15       1

18       1

The formula for mode is given as follows;

The mean = 108/17 = 6.35

The median of 1 1 2 2 2 2 3 5 5 6 6 6 9 11 14 15 18 = (n + 1)/2th term = 9th term  

∴ The median = 5

The mode = 3×Median - 2 × Mean = 15 - 2 × 6.35 = 2.29

Hence all exist

The answer is none theses measures

b. Whereby 18 is replaced by 39 the mean will be then be

(108 + 39 - 18)/17 = 7.59

The median, which is the 9th term remain the same;

Hence only the mean and mode will be affected

c. Since more values are concentrated on the left side of the data distribution, the distribution is positively skewed

d. The largest measurement = 18 the 17th term

Removal will give

Mean = (108 - 18)/16 = 5.625 Mean changes

Median = (16 + 1)/2 th term = 8.5th term = 5 The median remains the same

The mode = 3(Mean - Median) changes

Therefore, the mean and the median will be changed.

Answer:

False

Step-by-step explanation:

The greatest sum of two consecutive even integers would be 200 + 198, or 398

Answer:

its true

Step-by-step explanation:

Answer:

£149.5

Step-by-step explanation:

[tex]100 + 15 = 115\\115/100 = 1.15\\130 * 1.15 = 149.5[/tex]

Answer:

32

Step-by-step explanation:

Answer:

2c -2 = Steve's age 2 years ago

Step-by-step explanation:

Answer:

32 cm^3.

Step-by-step explanation:

Formulas for calculating:

sphere's volume - ;[tex]V_{sphere}=\frac{4\pi r^3}{3}[/tex]

cylinder's volume -  .[tex]V_{cylinder}=\pi r^2 h[/tex]

Note that h=2r (height of the sphere consists of two radius).

Then  [tex]V_{cylinder}= \pi r^2 h=\pi r^2 2r= 2\pi r^3[/tex]

Since  [tex]V_{sphere}= \frac{4\pi r^3}{3}[/tex]

on calculating we get

[tex]V_{cylinder}= \frac{3V_{sphere}}{2}\\ \Rightarrow V_{sphere}=\frac{2V_{cylinder}}{3} =\frac{2\times48}{3} =32 cm^3[/tex]

Answer:

The quarterly growth rate in revenues is significantly different from 1.2%.

b. 2,666,858

Step-by-step explanation:

Given that:

The regression equation can be represented as :

[tex]log_{10} \hat Y= 6.102+0.012 X - 0.129 Q_1 - 0.054 Q_2 + 0.098 Q_3[/tex]

In testing the significance of the coefficient of X in the regression equation (0.012) which has a p-value of 0.02.

The null and alternative hypothesis can be stated as;

[tex]H_0:[/tex]    The quarterly growth rate in revenues is not significantly different from 1.2%.

[tex]H_a:[/tex]   The quarterly growth rate in revenues is significantly different from 1.2%.

The decision rule is to reject the null hypothesis if the p-value is less than 0.05.

From above ; the p-value = 0.02 which is less than 0.05.

Conclusion:

Thus; we reject the null hypothesis and accept the alternative hypothesis. i.e

The quarterly growth rate in revenues is significantly different from 1.2%.

b.

Since [tex]Q_1=Q_2=Q_3 = 0[/tex] ; X = 27

Thus ;

[tex]log_{10} \hat Y= 6.102+0.012 X - 0.129 Q_1 - 0.054 Q_2 + 0.098 Q_3[/tex]

[tex]log_{10} \hat Y= 6.102+0.012 (27)[/tex]

[tex]\hat Y=10^{ 6.102+0.012 (27) }[/tex]

[tex]\hat Y =[/tex] 2666858.665

[tex]\hat Y =[/tex]  2,666,858

Answer:

No the slot machine doesn't appear to function as expected.

Step-by-step explanation:

From chi-squared table , for 9 degrees of freedom and alpha 0.05,

critical value is, 3.325.

Since observed value is greater than critical value we can say that actual outcomes do not agree with the expected frequencies. The slot machine doesn't appear to function as expected.

Answer:

Step-by-step explanation:

The objective here is to create a journal entry for the Star corporation treasure stock transaction, then find the total amount of Paid-in Capital from Treasury Stock at December 31, 2017.

Journal Entries:

Date                  Description                          $                      $

Mar 1                Treasury Stock                   40,000  

Cash                                                                                   40,000

June 1               Cash(1,000*12)                     12,000  

                       Treasury Stock(1,000*8)                               8,000

                        Paid in Capital(12-8)*1,000                           4,000

Sept 1                Cash(1,000*10)                       10,000  

                      Treasury Stock (1,000*8)                               8,000

                      Paid in Capital (12-10)*1,000                          2,000

Dec 1               Cash (1,000*7)                             7,000  

                     Paid in Capital (8-7)*1,000             1,000  

                     Treasury Stock (1,000*8)                                 8,000

The Beginning Balance:

Treasury Stock Price = 250,000 / 5,000

= $50

Paid in Capital = [2,000×(53-50) + 2,000×(48-50) + 1,000×(43-50)]

= [(2,000×3) + (2,000×-2) + (1,000×-7)]

= 6,000 - 4,000 - 7,000

= -5,000

During the year transactions = 4,000+2,000-1,000

= $5,000

The total amount paid in Capital = Beginning Balance + During the year transactions  

= -5,000 + 5,000

= 0

Some other circumstances under which company can go for the purchase of treasury stock includes:

A situation where by they resells  the stock in the bid to increase funds for future investment.

The company can go for the purchase of treasury stock in order to empower the financial ratios and have full control interest in the company

It can also aid as a means of increasing the price of the share when it is underpriced in the market.

Answer:

[tex]x^{6} y^{3}[/tex]

Step-by-step explanation:

[tex](x^2y)3[/tex]

[tex]x^{2 \times 3} \times y^3[/tex]

[tex]x^{6} \times y^3[/tex]

Answer:

Step-by-step explanation:

Twelve years ago Jane was five times as old as Anne.  

 J-12=5(A-12)

In three years time, Anne will be half of Jane's age.  

A+3=1/2(J+3)

Simplify and solve this system of equations:

 J-12=5(A-12)

A+3=1/2(J+3)

Answer:

percentage change in weight ≈ 10%

Step-by-step explanation:

The dog weighed 48 kg after a diet and after an exercise program the dog had a weight of 43 kg. This means the dog loss weight since the dog weight decreased from an initial value of 48 kg to 43 kg. The decrease in weight can be calculate as

decrease in weight = original weight - new weight

original weight  = 48 kg

new weight = 43 kg

decrease in weight = 48 - 43 = 5 kg

Since the weight decrease their will be a percentage decrease in weight.

% decrease = decrease in weight/original weight × 100

% decrease = 5/48 × 100

% decrease = 500/48

% decrease = 10. 42666666667

percentage change in weight ≈ 10%

Answer:

1. Number of classes used are 7 with 5 class interval.

Step-by-step explanation:

Note: See the attached files for the tables and answers to questions 2, 3, 4 and 5.

Answer:

y+8.5 = 17.2

y = 17.2-8.5

= 8.7

Answer:

y+8.5 = 17.2

y = 17.2-8.5

= 8.7

Step-by-step explanation:

yes the answer above me is correct

Answer:

what she/he said

Step-by-step explanation:

Answer:

yes it does

17 is the longest side.

Iff  Iff 17%5E2+=+8%5E2+%2B+15%5E2 it's a right triangle.  it's a right triangle.

Ps "iff" means if and only if

hope it helps

if so please mark me  as brainliest

Answer:

Step-by-step explanation:

Hello!

I didn't find the exact box plot for this exercise but I've found one that'll help you identify the required values

When constructing a box plot the box lower and upper limits are defined by the first and third quartiles and the line separating it in two represents the median.

In this case, the box is lying on the side, the first quartile is represented by the left side of the box. If you see the graphic this one corresponds to 25.

The median, as said, is represented by the line drawn inside the box, it is not necessarily in its middle but it will always be inside it.

Watching the example, the median is 33

I hope this helps!

Answer: D

Step-by-step explanation:

Answer:

X^4

------

 4

Step-by-step explanation:

The simplified expression is 1/4x²  

Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is an expression composed of variables, constants, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x²-5x+11

Given here, the expression is (20x⁻³ / 10x⁻¹)⁻² =2⁻²× x⁻²

                                                                             = 1/4x²

Hence, the simplified expression is  1/4x²

Learn more about polynomial expression here:

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Answer:

b = 4.6 ft

h = 2.3 ft

Step-by-step explanation:

The volume of the tank is given by:

[tex]b^2*h=49[/tex]

Where 'b' is the length of the each side of the square base, and 'h' is the height of the tank.

The surface area can be written as:

[tex]A=b^2+4bh\\A=b^2+4b*({\frac{49}{b^2}})\\A=b^2+\frac{196}{b}[/tex]

The value of b for which the derivate of the expression above is zero is the value that yields the minimum surface area:

[tex]\frac{dA}{db} =0=2b-\frac{196}{b^2}\\2b^3=196\\b=4.61\ ft[/tex]

The value of h is then:

[tex]h=\frac{49}{4.61^2}\\h=2.31\ ft[/tex]

Rounded to the nearest tenth, the dimensions are b = 4.6 ft and h = 2.3 ft.

Answer:

Step-by-step explanation:

Let x be the random variable representing the SAT scores for the students at a local high school. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 1527

σ = 291

the probability to be determined is expressed as P(x > 1207)

P(x > 1207) = 1 - P(x ≤ 1207)

For x < 1208

z = (1207 - 1527)/291 = - 1.1

Looking at the normal distribution table, the probability corresponding to the z score is 0.16

P(x > 1207) = 1 - 0.16 = 0.84

Therefore, the percentage of students from this school earn scores that satisfy the admission requirement is

0.84 × 100 = 84%

Answer:

473 feet.

Step-by-step explanation:

Let's look at the image below. We have that the angle of elevation from Justin parking spot is 11º and the height of the building is 92 feet and we need to know how far from the building is Justin parked, in other words, we need to find x in the image.

We can see that to find x we can use a trigonometric function (in this case is tan since we have the Opposite side (92 feet) and we need the Adjacent side (x)

Thus we have:

[tex]Tan11= \frac{92}{x} \\0.1943=\frac{92}{x}\\ x=\frac{92}{0.1943}\\ x=473.49\\x=473[/tex]

Thus, Justin is parked 473 feet away from the center court.

Answer: False

Step-by-step explanation:

We can write tan(x) = sin(x)/cos(x)

if cos(x) tends to 1, and sin (x) tends to 0 (this happens aronund the point x = 0)

then we have:

Tan(x) = 0/1 = 0

Then the statement is false, as cos(x) approaches 1 and sin(x) approaches 0, tan(x) also approaches 0.

Answer:

y=3x-1

Step-by-step explanation:

you first find the gradient

(-7,-5). (-7,-2)

x¹ y¹ x² y²

gradient=y²-y¹

x²-x¹

-2+5

-7+7

3/1=3. gradient is 3

equation formula= y=mx+c

(among the two sets of value you were given use one eg I will use -7 and -2)

y-(-7)/x-(-2)=3

y+7/x+2=3

y+7=3(x+2)

y+7=3x+6

y=3x+6-7

y=3x-1

Completed Question

Outputs to be matched to the functions are:

Answer:

Step-by-step explanation:

Given the vector x: x <- c(2, 43, 27, 96, 18)

Sort

In R, the sort(x)  function is used to arrange the entries in ascending or descending order. By default, R will sort the vector in ascending order.

Therefore, the output that matches the sort function is:

sort(x): 2, 18, 27, 43, 96

Rank

The rank function returns a vector with the "rank" of each value.

x <- c(2, 43, 27, 96, 18)

Therefore, the output of rank(x)  is: 1, 4, 3, 5, 2

Order

When the function is sorted, the order function gives the previous location of each of the element of the vector.

Using the sort(x) function, we obtain: 2, 18, 27, 43, 96

In the vector: x <- c(2, 43, 27, 96, 18)

Therefore, the output of order(x) is: 1, 5, 3, 2, 4

Answer:

Option 2

Step-by-step explanation:

So you know that you have to START with 16 gallons, so you can eliminate options 3 and 4.

Then calculate how long you can drive on 16 gallons. 75 * 4 = 300

It's option 2

Answer:

Option 2

Step-by-step explanation:

The slope will have to be negative since the amount of gas decreases as the miles traveled increased. If the car travels 75 miles on 4 gallons of gas it travels 75 * 4 = 300 miles on 16 gallons of gas, meaning (300, 0) is a point on the line. The only line that satisfies this is Option 2.

Answer:

Are there any choices?..

The correct statement the describes the equation is The lines intersect at (1, 0) and the lines are parallel.

x - y = 1.............equation 1

y - x = 1.............equation 2

Add equations (1) and (2):

(x - y) + (y - x) = 1 + 1

Simplifying

0 = 2

Since 0 = 2, the system is inconsistent, meaning there is no solution. The lines represented by the equations are parallel and will never intersect.

The system of equations has no solution, as the lines represented by the equations are parallel and will never intersect.

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The complete question is- Which statement describes the graph of the system of equations?

[x-y=1

Ly- X= 1

The lines are parallel.

The lines are coinciding.

The lines intersect at(1, 0).

The lines intersect at (-1,0).

Answer:

See the explanation

Step-by-step explanation:

If and event can occur in A number of way and fail in B number of ways, then probability of its occurrence is:

[tex]P(A)= \frac{A}{A+B}[/tex]

or probability of its failing is:

[tex]P(B)=\frac{B}{A+B}[/tex]

Rolling a number smaller than 3 in a dice.

A= 2 (1,2)

B = 4 (3,4,5,6)

[tex]P(A)= \frac{2}{2+4}=\frac{1}{3}[/tex]

Definition of Probability in terms of past performances (data). It can be taken as how often things happens divided by all outcomes.

A batter has 50 safe hits at 200 bats, which makes his batting average [tex]\frac{50}{200}= 0.25[/tex] which is the probability.

When you define a probability due to personel beleif in the likelihood of an outcome. It involve no formal calculations and varies from person to person, depending on their past experience.

A person beleives that probability that the batter will hit safely in the next bat is 0.75