as part of a promotion, people who participate in a survey are sent a free coupon for one of three winter activities: skiing, snow tubing, or sleigh rides. participants have an equal chance of receiving each type of coupon. if 900 people participate, how many would be expected to receive a coupon for sleigh rides

Answer:

Step-by-step explanation:

-0.85 is the strongest correlation coefficient which represents the strongest correlation as compared to others.

What is Correlation coefficients ?

Correlation coefficients are used to measure how strong a relationship is between two variables. There are several types of correlation coefficients, but the most popular is Pearson’s. Pearson’s correlation is a correlation coefficient commonly used in linear regression. Generally, correlation coefficients range between -1.00 to +1.00.

According to the rule of correlation coefficients, the strongest correlation is considered when the value is closest to +1 (positive correlation) or -1 (negative correlation).

A positive correlation coefficient indicates that the value of one variable depends on the other variable directly.

A zero-correlation coefficient indicates that there is no correlation between both variables.

A negative correlation coefficient indicates that the value of one variable depends on the other variable inversely.

Hence, according to the options, we know that -0.85 is the closest to -1, and none of the values is closer than that to either of -1 or +1. Hence, it is more negatively correlated.

Hence, -0.85 is the strongest correlation coefficient which represents the strongest correlation as compared to others.

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Answer:

rise/run 6/15 6/15 = 0.4

Step-by-step explanation:

Answer:

y=15/-5x+5 OR y=-3x+5

Step-by-step explanation:

any answer works. the 2nd one is just the simplified version of the first one

Answer:

9x/y³

Step-by-step explanation:

The simplification of the expression 9x⁰y⁻³ will be 9/y³.

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

In another word the mathematics of power or exponent of any number is called indices.

As per the given expression,

9x⁰y⁻³

By the law of indices that, \(x^{-m}\) = 1/\(x^{m}\)

9x⁰y⁻³ = 9x⁰ × 1/y³

⇒ 9(1)/y³ = 9/y³

Hence "The simplification of the expression 9x⁰y⁻³ will be 9/y³".

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\(\\ \sf\longmapsto 6x-4+x+17=90\)

\(\\ \sf\longmapsto 7x+13=90\)

\(\\ \sf\longmapsto 7x=90-13=77\)

\(\\ \sf\longmapsto x=11\)

Answer:

\(62 \degree\)

Step-by-step explanation:

Complementary Angles are added up to 90°

Therefore,

\(6x - 4 + x + 17 = 90 \\ 7x + 13 = 90 \\ 7x = 90 - 13 \\ 7x = 77 \\ \frac{7x}{7} = \frac{77}{7} \\ x = 11\)

So,

\(ZA = 6x - 4 \\ = 6 \times 11 - 4 \\ = 66 - 4 \\ = 62 \degree\)

Hope this helps you.

Let me know if you have any other questions :-)

Tenemos un problema sobre energía potencial gravitatoria.

Econtraremos la expresión general: U = M*h*(H - h')

Lamentablemente no tenemos ninguna información sobre este problema, por lo que tendre que utilizar una expresión general. Sabemos que la energía potencial de un objeto de masa M que está a una altura H sobre el suelo, está dada por: U = M*g*H

Donde g es la aceleración gravitatoria; g = 9.8m/s^2

Si en lugar de querer definir la energia potencial con respecto al suelo, la queremos definir con respecto a otra cosa, entonces debemos conocer la altura de esa cosa con respecto al suelo. Por ejemplo, si en este caso el techo está a una altura h' del suelo, entonces la energía potencial gravitatoria con respecto al techo será: U = M*h*(H - h')

Algo muy interesante que podemos ver en la ecuación de arriba, es que si: h' ≥ H, entonces tendremos una energía potencial negativa, lo cual tiene sentido, pues deberemos agregar energía a la lampara si queremos que esta tenga un potencial igual a cero (lo que seria equivalente a tener la lampara en el techo)

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We know that the solution can also be written as:

y(t) =

{ (-1 + t) e^{-t}, 0 < t < 1

{ (-1 + t) e^{-t} + 1, t > 1

The given differential equation is:

y′′ + 2y′ + y = δ(t − 1)

where δ(t − 1) is the Dirac delta function shifted one unit to the right.

To solve this equation, we will first find the complementary solution by solving the homogeneous equation:

y′′ + 2y′ + y = 0

The characteristic equation is:

r^2 + 2r + 1 = 0

which can be factored as:

(r + 1)^2 = 0

The double root is r = -1, so the complementary solution is:

y_c(t) = (c1 + c2t) e^{-t}

where c1 and c2 are constants to be determined by the initial conditions.

Now we will find the particular solution to the non-homogeneous equation. Since the right-hand side of the equation is a Dirac delta function, we can use the following formula:

y_p(t) = h(t-a) * f(t-a)

where h(t-a) is the unit step function shifted to the right by a units, and f(t-a) is the function on the right-hand side of the equation, shifted by a units as well. In our case, we have:

y_p(t) = h(t-1) * δ(t-1)

Using the properties of the Dirac delta function, we can simplify this to:

y_p(t) = h(t-1)

Since h(t-1) is zero for t < 1 and one for t > 1, the particular solution is:

y_p(t) = h(t-1) =

{ 0, t < 1

{ 1, t > 1

Now we can write the general solution to the non-homogeneous equation as:

y(t) = y_c(t) + y_p(t) = (c1 + c2t) e^{-t} + h(t-1}

Applying the initial conditions, we get:

y(0) = 0:

(c1 + c2*0) e^0 + h(0-1) = 0

c1 + h(-1) = 0

c1 = -h(-1) = -1

y'(0) = 0:

(c2 - c1*1) e^0 + h(0-1) = 0

c2 - c1 = -h(-1)

c2 + 1 = 1

c2 = 0

Therefore, the solution to the initial value problem is:

y(t) = (-1 + t) e^{-t} + h(t-1)

where h(t-1) is the unit step function shifted to the right by 1 unit, which is:

h(t-1) =

{ 0, t < 1

{ 1, t > 1

So the solution can also be written as:

y(t) =

{ (-1 + t) e^{-t}, 0 < t < 1

{ (-1 + t) e^{-t} + 1, t > 1

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Since η² ≈ 0.33 and not 0.50, the statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η² = 0.50" is false.

ANOVA, or Analysis of Variance, is a statistical method used to compare the means of two or more groups to determine if there are any statistically significant differences between them. It is commonly used in experimental and observational studies to analyze the variance between group means and within-group variability.

ANOVA tests the null hypothesis that the means of the groups are equal, against the alternative hypothesis that at least one of the group means is different. It calculates the F-statistic, which compares the between-group variability to the within-group variability. If the F-statistic is large enough and exceeds a critical value, it indicates that there is evidence to reject the null hypothesis and conclude that there are significant differences between the group means.

We can determine if η² = 0.50 is true or false by calculating the effect size η² using the provided SS between and SS within values.
η² = SS_between / (SS_between + SS_within)
η² = 20 / (20 + 40)
η² = 20 / 60
η² = 1/3 ≈ 0.33
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True, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.

The formula to calculate eta squared (η2) is:
η2 = SSbetween / (SSbetween + SSwithin)
If SSbetween = 20 and SSwithin = 40, then:
η2 = 20 / (20 + 40) = 0.5
Therefore, η2 = 0.50, which means that 50% of the total variance in the dependent variable can be attributed to the independent variable (or factor) being analyze. The statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50" is true. To determine η 2 (eta-squared), you'll need to calculate the proportion of total variance explained by the between-group variation. This can be done using the formula η 2 = SS between / (SS between + SS within). In this case, η 2 = 20 / (20 + 40) = 20 / 60 = 0.50. Therefore, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.

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Step-by-step explanation:

MARK ME THE BRAINLIEST PLS PLS

Answer:

See figure below.

Step-by-step explanation:

Since the dilation is 1/5 with respect to the origin, divide each x- and y-coordinate by 5 to find the new points. Then plot them. See figure below.

The value of g(5) can be determined by integrating the given derivative function and using the initial condition g(2) = -7.  The value of g(5) is approximately 57.955.

To find the value of g(5), we need to integrate the derivative function g'(x). The antiderivative of √\(x^3\) + x with respect to x will give us the original function g(x). Let's perform the integration:

∫√\(x^3 + x dx\) = ∫\((x^(3/2) + x) dx = (2/5)x^(5/2) + (1/2)x^2 + C\)

Now, using the initial condition g(2) = -7, we can determine the constant of integration C:

\((2/5)(2)^(5/2) + (1/2)(2)^2 + C = -7\)

Simplifying the equation, we can solve for C:

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

C = -7 - (8/5) - 2

C = -7 - (16/5) - (10/5)

C = -7 - (26/5)

C = -35/5 - 26/5

C = -61/5

Now that we have the value of C, we can substitute it back into the original function and evaluate g(5):

g(5) = \((2/5)(5)^(5/2) + (1/2)(5)^2 - (61/5)\)

Calculating this expression will give us the value of g(5).

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Answer:

Step-by-step explanation:

The percent error in estimating the number of students who will try out for the cross-country team is 11.11%.

How to calculate percent error?

Percent error can be calculated by using the following formula:

percent error = ( | estimated value - actual value | / actual value ) x 100,

where |...| indicates the absolute value (the positive difference between the two values).

Ms. Brown estimated 63 students would try out for the cross-country team this year, but 70 students tried out.

Actual value = 70

Estimated value = 63

Using the formula, percent error = (| estimated value - actual value | / actual value) x 100percent

                                              error = (| 63 - 70 | / 70) x 100= 11.11%

Therefore, the percent error is 11.11%.

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Answer:

16

Step-by-step explanation:

240 ÷ 15 = 16

16 x 15 = 240

To lift 240 he would need to put 16, 15 lb weights on the bar

Answer:

B. When the bird is 2 feet away from the first fence post, it reaches its minimum height of 3 feet.

D. Minimum at (2, 3)

Step-by-step explanation:

.

Answer:

The answer is 1,200 in. tall

Step-by-step explanation:

Because you just need to multiply length times width so the length would be 40 in. and width would be 30 in. so 40 x 30=    1,200 in.

Answer:

The measures of the angles: m∠1 = 51°, m∠2 = 39°

Step-by-step explanation:

In this type of question, you should substitute the measures of the angle by the given values and solve the equation to find x, then find the measure of each angle.

∵ m∠1 + m∠2 = 90°

∵ m∠1 = 3x°

∵ m∠2 = (x + 22)°

→ Substitute m∠1 by 3x° and m∠2 by (x + 22)° in the equation above

∴ 3x° + (x + 22)° = 90°

→ Add the like terms in the right side

∴ (3x + x) + 22 = 90

∴ 4x + 22 = 90

→ Subtract 22 from both sides

∴ 4x + 22 - 22 = 90 - 22

∴ 4x = 68

→ Divide both sides by 4 to find the value of x

∴ \(\frac{4x}{4}=\frac{68}{4}\)

∴ x = 17

→ Now substitute the value of x in each angle to find them  

∵ m∠1 = 3x°

∴ m∠1 = 3(17) = 51°

∵ m∠2 = (x + 22)°

∴ m∠2 = (17 + 22) = 39°  

The measures of the angles: m∠1 = 51°, m∠2 = 39°

Answer:100

Step-by-step explanation:

2!2

Answer:

n = 2

Step-by-step explanation:

(6n - 7) + (8n + 2) = 23 (Combine like terms)

14n  - 5 = 23 (Add 5 from both sides)

14n = 28 (divided 14 from both sides)

n = 2

Therefore, the expression is undefined when the value of x = 7 or x = -3.

An equation is a mathematical statement that asserts the equality of two expressions. It typically involves one or more variables and can be written using mathematical symbols such as addition, subtraction, multiplication, division, exponents, and roots. The goal of solving an equation is to find the values of the variables that satisfy the equation.

Here,

To simplify the expression, we first factor the denominator:

x² - 4x - 21 = (x - 7)(x + 3)

Now, we can rewrite the expression as:

(12x + 36) / (x - 7)(x + 3)

We can simplify the numerator by factoring out 12:

12(x + 3) / (x - 7)(x + 3)

The (x + 3) terms cancel out, leaving:

12 / (x - 7)

So the simplified expression is 12 / (x - 7).

The restrictions on the variable come from the fact that the denominator cannot be equal to zero. So we set the denominator equal to zero and solve for x:

(x - 7)(x + 3) = 0

x = 7 or x = -3

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Answer:

the answer is 17x+10

Step-by-step explanation:

Answer:

72 inches

Step-by-step explanation:

12 inches * 6 = 72 inches

Step-by-step explanation:

Let's call the number of girls in the school "g". We know that there are 1000 boys, so the total number of students is 1000 + g.

The problem states that 48% of the total number of students were successful in the examination. Therefore, we can write an equation:

0.48(1000 + g) = 0.5(1000) + 0.4(g)

Simplifying and solving for g:

480 + 0.48g = 500 + 0.4g

0.08g = 20

g = 250

Therefore, the number of girls in the school is 250.

Answer:

250

Step-by-step explanation:

Hi dear,

Firstly, let the girls be G

1000 + G = Total number of students

50% of boy = 1000 × 0.5 = 500

40% of girls = G × 0.4 = 0.4G

0.48 • (1000 + G) = 480 + 0.48G

480 + 0.48G = 500 + 0.4G

Collect Like Terms

0.48G - 0.4G = 500 - 480

0.08G = 20

G = 20/0.08

G = 250

Therefore, the girls are 250( two hundred and fifty)in the school

The total number of seeds that Josiah would plant would be = nR×S

To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.

Let each row be represented as = nR

Where n represents the number of rows planted by him.

Let the seed be represented as = S

The total number of seeds he planted = nR×S

Therefore, the total number of seeds that was planted Josiah would be = nR×S.

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Answer:

Step-by-step explanation:

2.5

4 quarts per gallon

8 quarts per 2 gallons

2 quarts is half a gallon since 4 quarts is a full gallon

answer: 2.5

Answer:

$41.89

Step-by-step explanation:

100%=35.50

1%=0.3550

18%=6.39

$35.50+6.39=$41.89

Answer: 49.89 percent

Step-by-step explanation:

Be a good boy

Answer:

c=72

Step-by-step explanation:

8

=

9

8

⋅

8

=

8

⋅

9

Answer:

91

Step-by-step explanation:

For questions like these, you multiply the denominator times what it equals

Like in this case you do 8x9

I hope this helps!

Answer:

Its B ^^

Step-by-step explanation:

He should have added the values in the numerator before dividing by 2.

Justin’s doctor said that the expression;

Expression;\(\rm \dfrac{x+y+5}{2}\)

Where x and y are his parents’ current heights in inches.

Mom’s height = 54 inches Dad’s height = 71 inches.

Substitute all the values in the equation;

\(\rm= \dfrac{x+y+5}{2} =\\\\=\dfrac{71+54+5}{2} \\\\= \dfrac{130}{2}\\\\= 65\)

Hence, He should have added the values in the numerator before dividing by 2.

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Answer:

-650 + 225 = -425         -425 - -50 = 475 feet

Step-by-step explanation: