PLEASE HELP!!!! WILL MARK BRAINLIEST!!!!

The probability of the weight loss falling between 8 pounds and 11 pounds is 1/2

Variation of weight = Between 6 to 12.

It is required to ascertain the percentage of the overall range that corresponds to that interval in order to calculate the chance that the weight reduction will fall between 8 pounds and 11 pounds.

Calculating the total range of weight -

Range = Higher weight - Lower weight

= 12 - 6

= 6

Similarly, calculating the total range of weight for 8 pounds and 11 pounds

Range = Higher weight - Lower weight

= 11 - 8

Calculating the probability -

Probability = Range of interest / Total range

= 3 / 6

= 1/2.

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Complete Question:

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

To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

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Answer:

B

Step-by-step explanation:

the entire distance was 100 km, but the other 200 km on the x axis is unnecessary

Answer:

A

Step-by-step explanation:

khan acadamy

Answer:

196

Step-by-step explanation:

It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Let's first understand what is meant by the term "moderator.

"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.

Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.

So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

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Answer:

m∠A = 31

b = 13.3

Step-by-step explanation:

Answer:

E. 16

Step-by-step explanation:

Easy:

Formula: P=2(l+w)

Plug in and solve:

P=2(3+5)

P = 16 (Option E is correct)

The exponential equation y = 2500 * 0.76^t models the relationship between the value of a laptop computer (y) and the number of years since it was purchased (t). It shows that each year the value decreases by 24%.

y = 2500 * 0.76^t

Given:

In 2005, a laptop computer was purchased for $2500.

Each year since then, the real value has decreased by 24%.

Let t be the number of years since 2005.

Let y be the value of the laptop computer, in dollars.

We can model this relationship using an exponential function.

Since the real value has decreased by 24% each year, we can use the equation 1 - 0.24 = 0.76 to represent this.

We can then use this to write the exponential function.

y = 2500 * 0.76^t

This equation shows the relationship between y (the value of the laptop computer) and t (the number of years since 2005). The exponential equation y = 2500 * 0.76^t models the relationship between the value of a laptop computer (y) and the number of years since it was purchased (t). It shows that each year the value decreases by 24%.

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Answer:

6

Step-by-step explanation:

multiply 3 and 18 which gives you 54 then divide by 9 which give you your answer. 6

Answer:

\(4 \times a = 4a \\ c \times d = cd \\ 3c \times - 2 = - 6c \\ - 5t \times 3a = - 15at \\ 4c \times 2e = 8ce\)

Answer:

discreet

Step-by-step explanation:

If a function is discrete, it does not include all of the values between two given numbers, but rather only specific values in a particular range

Answer:

45 degree=√2/2

√2/2=12√2

we use criss-cross method

√2x/√ 2=12√2/√ 2

×=24

Step-by-step explanation:

if it confused you this is (/)is dividing

hope I helped

please mark me as brainlyst

The area of the triangle determined by the points P(1, 1, 1), Q(-4, -3, -6), and R(6, 10, -9) is approximately 51.61 square units.

To find the area of the triangle determined by the points P(1, 1, 1), Q(-4, -3, -6), and R(6, 10, -9), we can follow these steps:

1. Calculate the vectors PQ and PR by subtracting the coordinates of P from Q and R, respectively.

2. Find the cross product of PQ and PR.

3. Calculate the magnitude of the cross product.

4. Divide the magnitude by 2 to find the area of the triangle.

Step 1: Calculate PQ and PR

PQ = Q - P = (-4 - 1, -3 - 1, -6 - 1) = (-5, -4, -7)

PR = R - P = (6 - 1, 10 - 1, -9 - 1) = (5, 9, -10)

Step 2: Find the cross product of PQ and PR

PQ x PR = ( (-4 * -10) - (-7 * 9), (-7 * 5) - (-10 * -5), (-5 * 9) - (-4 * 5) ) = ( 36 + 63, 35 - 50, -45 + 20 ) = (99, -15, -25)

Step 3: Calculate the magnitude of the cross product

|PQ x PR| = √( (99)² + (-15)² + (-25)² ) = √( 9801 + 225 + 625 ) = √(10651)

Step 4: Divide the magnitude by 2 to find the area of the triangle

Area = 0.5 * |PQ x PR| = 0.5 * √(10651) ≈ 51.61

So, the area of the triangle determined by the points P(1, 1, 1), Q(-4, -3, -6), and R(6, 10, -9) is approximately 51.61 square units.

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Complete question is below

Find the area of the triangle determined by the points p(1, 1, 1), q(-4, -3, -6), and r(6, 10, -9)

Answer:

look at the screenshot

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZ

 The vector equation is (x,y,z) = x = -4t + 6

y = 2t + 6

z = 12t + 2

To find the vector equation and the parametric equations of the line through (6,6,2) that is perpendicular to the given lines, we can use the cross product of the direction vectors of the two lines as the direction vector of the new line.

First, we find the direction vectors of the two given lines:

Line 1: r1(t) = (2-2t, 5+6t, 3-2t), direction vector d1 = (-2, 6, -2)

Line 2: r2(t) = (-2, 5+t, 3-t), direction vector d2 = (0, 1, -1)

Next, we take the cross product of d1 and d2 to find a vector that is perpendicular to both lines:

d1 x d2 = (-4, 2, 12)

This vector is parallel to the new line we want to find, so we can use it as the direction vector of the line. To get the vector equation, we can use the point-slope form of the equation of a line:

(x,y,z) = (6,6,2) + t(-4,2,12)

This simplifies to:

x = -4t + 6

y = 2t + 6

z = 12t + 2

These are the parametric equations of the line.

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In a linear equation, 9.14 does he save by paying off the loan when the next payment is due .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                               Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Jan  293  18  311  1,507 16.25%

Feb  296  15  311  1,212 32.67%

Mar 298           12  311   913 49.25%

Apr  301            9  311   612 66.00%

May  304    6  311  308 82.92%

Jun  308    3  311    0        100.00%

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Answer:

m = 0

slope = 0

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

As triangle ABC is an isosceles triangle, 5x+7=22:

Answer:

See below.

Step-by-step explanation:

(a) y=x²-5  NO - the x term is squared.

(b) y=x³     NO - the x term is cubed

(c) y=-9x    YES

(d) y=-x+3  YES

See attached graph.

Answer:

A = NO

B = NO

C = YES

D = YES

Step-by-step explanation:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables.

For A: The degree of variable y is 1 and the degree of variable x is 2.

So it is not linear.

For C: The degree of variable y is 1 and the degree of variable x is 1.

So it is linear.

Answer:

19.8 cm

Step-by-step explanation:

Using the Pythagorean theorem , the Square of the distance between the top of the piece and the Shadow Is the sum of the height of the piece. and the lenght of the shadow. basically Just build a triangle with the 3 points you are given: height of the piece, lenght of the shadow and distance between the 2. so it's sqrt(13^2+15^2) = sqrt(394) =19.8 cm

Answer:

\(\displaystyle 1\frac{2}{5}=\frac{7}{5}\)

Step-by-step explanation:

\(\displaystyle a\frac{b}{c}=\frac{ac+b}{c}\\\\1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)

look on google

Step-by-step explanation:

go on google

search the answer

then BOOM!

Answer:

The answer is the first option x(x-4)(x-1)/2(x+4).

Step-by-step explanation:

because when you simplify after multiplying the denominator is 2x+8 when you simplify that its 2(x+4) and for the numerator after multiplying you get x^3−5x^2+4x when you simply that you get x(x-4)(x-1). Answer would be x(x-4)(x-1)/2(x+4).

Answer & Step-by-step explanation:

These triangles are similar. This means that they are going to have the same ratios within their different sides.

AC and CE already have measurements so we are going to find the ratio between them. We can do this by dividing 21 by 7.

21 / 7 = 3

So, since the ratio between AC and CE is 3, then the rest of the triangle has a ratio of 3 with the other triangle.

So, let's set up an equation so we can find the value of x.

21/7 = (20 - x)/x

Cross multiply.

21x = 140 - 7x

Add 7x to both sides of the equation.

28x = 140

Divide 28 from 140.

x = 5

Now that we have the value of x, then we can find the measurement of CD.

The measurement of CD is 5.

Answer:

5

Step-by-step explanation:

a-p-e-x

Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Correct answer is option (c).

To determine which set of numbers could represent the three sides of a right triangle, we can use the Pythagorean theorem:

a. {13, 48, 50}:

Using the Pythagorean theorem: 13² + 48² = 169 + 2304 = 2473 ≠ 50²

Therefore, this set of numbers does not represent the sides of a right triangle.

b. {49, 55, 73}:

Using the Pythagorean theorem: 49² + 55² = 2401 + 3025 = 5426 ≠ 73²

Therefore, this set of numbers does not represent the sides of a right triangle.

c. {16, 63, 65}:

Using the Pythagorean theorem: 16² + 63² = 256 + 3969 = 4225 = 65^²

Therefore, this set of numbers represents the sides of a right triangle.

d. {20, 72, 75}:

Using the Pythagorean theorem: 20² + 72² = 400 + 5184 = 5584 ≠ 75²

Therefore, this set of numbers does not represent the sides of a right triangle.

Based on the Pythagorean theorem, the set of numbers {16, 63, 65} represents the sides of a right triangle.

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Using the concept of proportion and ratio, the number of minutes is 6125

Proportion is a mathematical comparison between two numbers.  According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

Using the concept of proportion and ratio, we can predict how many minutes it will take them.

13 students = 637 minutes

125 students = x minutes

cross multiply both sides

13 * x = 637 * 125

13x = 79625

Divide both sides by the coefficient of x

13x / 13 = 79625

x = 6125

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The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

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Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

\(3) \: y = \frac{ - 8}{2} ; \: y = - 4\) ✅

Step-by-step explanation:

\(2 \: y = - 8 \\ ⇢  y = \frac{ - 8}{2} \\ ⇢ y = - 4\)

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)

The assumption underlying the independent samples t-test is that the scores must be drawn from a normally distributed population. Option A is correct.

A t-test is a statistical method that determines whether two groups of observations are significantly different from one another. When comparing the means of two populations, the t-test is commonly used. The t-test is used to determine whether two groups' means are significantly different when the samples are drawn from normally distributed populations with equal variances.

The t-test is a powerful tool for determining whether a sample is significantly different from a population or whether two samples are significantly different from one another. The independent samples t-test, as opposed to the dependent samples t-test, is a t-test that compares the means of two independent groups. In this situation, the groups are separate and distinct.

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Answer:

11x² - 23x - 14

Step-by-step explanation:

The area left is the area of the outer rectangle subtract the square, that is

A = (4x + 1)(3x - 5) - (x + 3)² ← expand factors using FOIL

   = 12x² - 17x - 5 - (x² + 6x + 9) ← distribute parenthesis by - 1

   = 12x² - 17x - 5 - x² - 6x - 9 ← collect like terms

   = 11x² - 23x - 14

There is an outstanding bond from BP with a 15-year maturity, a $1,000 par value, a 6.9% coupon rate that is paid semi-annually, and a price of 98.17. As a result, the annual cost of debt for this bond is roughly 8.5 percent.

To calculate the cost of debt, we need to determine the yield to maturity (YTM) of the bond. The YTM is the rate of return an investor would earn by purchasing the bond and holding it until maturity. We can use the bond pricing formula to calculate the YTM.

The bond pricing formula is as follows:

\(\text{Bond Price} = \frac{{C \times (1 - (1 + r)^{-n})}}{{r}} + \frac{{M}}{{(1 + r)^n}}\)

Where:

C = Coupon payment

r = Yield to maturity (YTM)

n = Number of periods

M = Par value

Given information:

Coupon payment (C) = \(\$1,000 \times \frac{6.1\%}{2} = \$30.50\)

Par value (M) = $1,000

Bond price = $1,000 × 83.57% = $835.70

We know the bond has 15 years to maturity, and coupons are paid semiannually. So, the number of periods (n) is 15 years × 2 = 30.

Using the bond pricing formula, we can rearrange it to solve for the YTM:

\(Bond Price = \frac{{C \times (1 - (1 + r)^{-n})}}{{r}} + \frac{{M}}{{(1 + r)^n}}\)

Substituting the given values:

\($835.70 = \left(\frac{{\$30.50 \times (1 - (1 + r)^{-30})}}{{r}}\right) + \left(\frac{{\$1,000}}{{(1 + r)^{30}}}\right)\)

To find the YTM, we need to solve this equation either algebraically or using numerical methods like trial and error or using financial calculators/spreadsheets.

By using a financial calculator or spreadsheet, we find that the YTM is approximately 8.5%. Therefore, the cost of debt for this bond is approximately 8.5% per year.

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Complete question :

Problem 17 Intro BP has a bond outstanding with 15 years to maturity, a $1,000 par value, a coupon rate of 6.1%, with coupons paid semiannually, and a price of 83.57 (percent of par). | Attempt 1/10 for 10 pts. Part 1 What is the cost of debt? B+ decimals Submit