Simplify (-3/5) divided by (7/6) HELP ASAP

Answer:

f(x) = (x - 2)(x + 2)

Step-by-step explanation:

When you expand out the expression, you should get f(x) = x² - 4, where only vertical movement is present. Therefore, the vertex is on the y-int at (0, -4) and your answer is the 3rd choice.

Answer:

3

Step-by-step explanation:

We can find the value of x using Euclidean theorem

√18^2 = 5 × x

18 = 5x

3 = x

11 hours, 5 minutes is the ansewer

The values of a and b for the probability density function are a = 56 and b = 216.

According to the given information, the mean daily spending by Americans earning over $90,000 per year was $136 per day, and the probability density function is given by f(x) = 0.00625 for a ≤ x ≤ b.

To find the values of a and b for the probability density function, we can use the formula for the mean of a uniform distribution:

mean = (a + b)/2

Substituting the given mean value of $136 into the formula, we get:

136 = (a + b)/2

Multiplying both sides of the equation by 2, we get:

272 = a + b

Rearranging the equation, we get:

b = 272 - a

Now, we can use the formula for the area under the probability density function, which is equal to 1:

∫_a^b f(x) dx = 1

Substituting the given probability density function and the value of b into the formula, we get:

∫_a^(272-a) 0.00625 dx = 1

Simplifying the integral, we get:

0.00625(272 - 2a) = 1

Dividing both sides of the equation by 0.00625, we get:

272 - 2a = 160

Rearranging the equation, we get:

2a = 112

Dividing both sides of the equation by 2, we get:

a = 56

Substituting the value of a back into the equation for b, we get:

b = 272 - 56 = 216

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Answer:

The answer you have for the given statement, the converse would be saying the same thing as the given statement, but reversed. So instead of "if the toy block is a clover", you would put "if a toy block is red, then the toy block is a clover". Hope that clears it up

Answer:

hope this help you

of my handwriting is bad then sorry.

Answer:

have a great day

may god bless you a lot

Answer:

point 1- ( 1.2 , 4 )

point 2- (2.4 , 8)

Step-by-step explanation:

using y=6/5x + 4

you would multiply 6/5 times your x value  ,in this case you would multiply by 1 then 2 and so on ( same with your y)

-

hopefully you get this right

a. The probability of selecting a student whose favorite sport is skiing is  0.3142.

b.  The probability of selecting a junior-college student is 0.2844.

c. If the student selected is a four-year-college student, the probability that the student prefers ice skating is 0.3333.

d. If the student selected prefers snowboarding, the probability that the student is in junior college is 0.3223.

e. If a graduate student is selected, the probability that the student prefers skiing or ice skating is 0.6444.

a.

To calculate this probability, we need to divide the number of students who prefer skiing by the total number of students in the sample.

Number of students who prefer skiing = 171

Total number of students in the sample = 545

Probability = Number of students who prefer skiing / Total number of students

Probability = 171 / 545

= 0.3142

b.

To calculate this probability, we need to divide the number of junior-college students by the total number of students in the sample.

Number of junior-college students = 155

Total number of students in the sample = 545

Probability = Number of junior-college students / Total number of students

Probability = 155 / 545 ≈ 0.2844

c.

To calculate this probability, we need to divide the number of four-year-college students who prefer ice skating by the total number of four-year-college students.

Number of four-year-college students who prefer ice skating = 70

Total number of four-year-college students = 210

Probability = Number of four-year-college students who prefer ice skating / Total number of four-year-college students

Probability = 70 / 210 ≈ 0.3333

d.

To calculate this probability, we need to divide the number of junior-college students who prefer snowboarding by the total number of students who prefer snowboarding.

Number of junior-college students who prefer snowboarding = 68

Total number of students who prefer snowboarding = 211

Probability = Number of junior-college students who prefer snowboarding / Total number of students who prefer snowboarding

Probability = 68 / 211

= 0.3223

e.

To calculate this probability, we need to sum the number of graduate students who prefer skiing and the number of graduate students who prefer ice skating, and then divide it by the total number of graduate students.

Number of graduate students who prefer skiing = 59

Number of graduate students who prefer ice skating = 47

Total number of graduate students = 180

Probability = (59 + 47) / 180

= 0.6444

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A survey of 545 college students asked: What is your favorite winter sport? And, what type of college do you attend? The results are summarized below: College Type Favorite Winter Sport Snowboarding Skiing Ice Skating Total Junior College 68 41 46 155 Four-Year College 84 56 70 210

Graduate School 59 74 47 180

Total 211 171 163 545

Using these 545 students as the sample, a student from this study is randomly selected.

a. What is the probability of selecting a student whose favorite sport is skiing? (Round your answer to 4 decimal places.) Probability= b. What is the probability of selecting a junior-college student? (Round your answer to 4 decimal places.) Probability = c. If the student selected is a four-year-college student, what is the probability that the student prefers ice skating? (Round your answer to 4 decimal places.) Probability = d. If the student selected prefers snowboarding, what is the probability that the student is in junior college? Round your answer to 4 decimal places.) Probability = e. If a graduate student is selected, what is the probability that the student prefers skiing or ice skating? Round your answer to 4 decimal places.) Probability =

Answer: 116%

Hope this helps.

23 im pretty sure lol

Step-by-step explanation: If not im sorry i couldn't help and have a good day lol

Step-by-step explanation:

Given

Volume (V) = 313 in³

π = 3.14

Height (h) = 16 in

Radius (r) = ?

We know.,

Volume of cone (V)

\(313 = \frac{1}{3} \pi {r}^{2}h \)

\(313 \times 3 = 3.14 \times 16 \times {r}^{2} \)

\(939 = 50.24 {r}^{2} \)

\(18.69 = r^{2} \)

\(r = \sqrt{18.69} \)

r = 4.32 in

\(( hope \: it \: will \: help})\)

sin(cos^-1(tan^-1(v))) can be expressed algebraically as v / sqrt(1 + v^2)

We can start by analyzing the innermost function, tan^-1(v). This represents the angle whose tangent is equal to v.

Next, we take the cosine of this angle, which gives us adj/hyp, where adj is the length of the side adjacent to the angle and hyp is the length of the hypotenuse. By definition of the tangent function, we have adj = v and hyp = 1. Thus, cos(tan^-1(v)) = v / sqrt(1 + v^2).

Now we take the sine of the resulting expression, cos(tan^-1(v)). This gives us opp/hyp, where opp is the length of the side opposite to the angle. Using the Pythagorean theorem, we can solve for opp: opp = sqrt(hyp^2 - adj^2) = sqrt(1 - v^2). Therefore, sin(cos^-1(tan^-1(v))) = opp/hyp = sqrt(1 - v^2) / sqrt(1 + v^2).

Simplifying this expression by multiplying the numerator and denominator by sqrt(1 + v^2), we get: sin(cos^-1(tan^-1(v))) = (sqrt(1 - v^2) * sqrt(1 + v^2)) / (sqrt(1 + v^2) * sqrt(1 + v^2)) = sqrt((1 - v^2)(1 + v^2)) / (1 + v^2) = v / sqrt(1 + v^2).

Therefore, sin(cos^-1(tan^-1(v))) can be expressed algebraically as v / sqrt(1 + v^2).

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The linear equation that passes through the anchor points (-3, -38) and (8, 61) is:

y = 9*x - 11

The general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that for a line that passes through two points (x₁, y₁) and (x₂, y₂) can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

Now, in this case we know that our line passes through the points (-3, -38) and (8, 61), then the slope will be:

a = (61 + 38)/(8 + 3) = 9

Replacing that we get:

y = 9*x + b

Now, using one of the points we can find the y-intercept, I will use (8, 61), replacing the values we get:

61 = 9*8 + b

61 = 72 + b

61 - 72 = b

-11 = b

The linear equation is:

y = 9*x - 11

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a) The probability that a single student randomly chosen from all those taking the test scores 23 or higher is 0.3557

b) The probability that the mean score x of these students is 23 or higher is 0.0043

What is Probability?

Probability is synonymous with possibility. It is a mathematical branch that deals with the occurrence of a random event.

Given that ,

mean = \mu = 21.1

standard deviation = \sigma = 5.1

a) P(x ≥ 23 ) = 1 - P(x ≤ 23)

= 1 - P[(x - \mu) / \sigma ≤ (23-21.1) /5.1 ]

= 1 - P(z ≤ 0.37)

= 1 - 0.6443 = 0.3557

Probability= 0.3557

b) n = 50

mu\bar x = \mu = 21.1

σbar x = σ / \\(\sqrt{n}\) = 5.1/ \\(\sqrt{50}\) = 0.7212

P(\bar x ≥ 23) = 1 - P(\bar x ≤ 23 )

= 1 - P[(\bar x - \mu\bar x ) / \sigma\bar x ≤ (23 - 21.1) / 0.7212 ]

= 1 - P(z ≤ 2.63)

= 1 - 0.9957 = 0.0043

Probability = 0.0043

a) The chance of a single student picked at random from all those taking the test scoring 23 or higher is 0.3557.

b) The chance that the mean x of these students is 23 or greater is 0.0043.

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Answer:

yeah it is an expression

Explanation:

An expression may refer to any of the following:

A combination of letters, numbers, or symbols used to represent a value of a variable. ..

Answer:

y=2x-5

Step-by-step explanation:

i took algebra

The estimated relationship may not hold for all levels of TV advertising, and there may be non-linearities or interactions with other variables that should be taken into account in a more sophisticated model.

What is the interpretation of this relationship?

To develop an estimated regression equation to estimate weekly gross revenue with the amount of television advertising as the independent variable, we would need a dataset that includes information on both variables. Assuming we have such a dataset, we could use linear regression to estimate the relationship between the two variables.

The estimated regression equation would take the form:

Weekly Gross Revenue = \(b_0 + b_1\)×Amount of TV Advertising + error

where \(b_0\) is the intercept (the value of weekly gross revenue when the amount of TV advertising is zero), \(b_1\) is the slope (the estimated increase in weekly gross revenue associated with a one unit increase in TV advertising), and error represents the random variation in the relationship between the two variables that is not explained by the model.

The interpretation of the relationship between weekly gross revenue and amount of TV advertising would depend on the sign and magnitude of the slope coefficient

\((b_1)\). If \(b_1\) is positive, it would suggest that an increase in TV advertising is associated with an increase in weekly gross revenue. The magnitude of \(b_1\) would indicate the strength of this relationship - a larger positive value of\(b_1\) would indicate a stronger relationship between TV advertising and weekly gross revenue.

If \(b_1\) is negative, it would suggest that an increase in TV advertising is associated with a decrease in weekly gross revenue. This could occur if the advertising is perceived as irritating or offensive to viewers, leading them to avoid the advertised product or service.

It is important to note that correlation does not imply causation, and there may be other factors that affect weekly gross revenue that are not captured in the model.

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Answer:

They have completed 50% of the race

Step-by-step explanation:

13 is half of 26. So when putting it in fraction form 13/26 can be equal to 50/100/

Now we can see that our fraction is 50/100, which means that 13/26 as a percentage is 50%.

Answer:what

Step-by-step explanation:what does this mean

With a speed of 0.419 m/s, the rider fast is a rider rising when his seat is 16m above ground level

The formula for tangential velocity is 2*pi*r/T --> 2*pi*10/120 --> pi/6.

It is 6 meters above the center of the wheel while the rider is 16 meters above the ground.

The horizontal portion of this distance must be 8 meters as its separation from the wheel's center is 10 meters (depending on the radius).

This indicates that the velocity and seat both make angles of 36.87 degrees off vertical and arctan(6/8) over the origin, respectively.

We will take into account the vertical component of the tangential velocity since the rate at which the seat is rising is what we're interested in.

Pi/6 * cos(arctan(6/8)) yields a value of 0.419 m/s.

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Answer:

Step-by-step explanation:

Answer:

V = 3534 cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

the radius is 7.5 and the height is 20

V = pi ( 7.5)^2 * 20

V =1125 pi cm^3

Using the pi button for pi

V =3534.291735 cm^3

Rounding to the nearest whole number

V = 3534 cm^3

Answer:

b)3534 cm^3

Step-by-step explanation:

To find the area of a cylinder, you first have to find the area of the base which is in the shape of a circle. The area of a circle is given by the equation πr^2. In this case r, the radius, is 7.5 cm. So plugging in 7.5 for r you get 7.5^2 × π. Plugging in 3.1415 for π you get ~176.671. Now all you do is multiply this by the height, 20cm, and get the answer of ~3534 cm^3.

Answer:

B, C, E, F

Step-by-step explanation:

Solve for the missing angle first (which is 42°)

Listing all of the basic trig ratios (sohcahtoa):

sin x = opp/hyp

cos x = adj/hyp

tan = opp/adj

sin 48° = a/c

cos 48° = b/c

tan 48 = a/b

sin 42° = b/c

cos 42° = a/c

tan 42° = b/a

Answer:

the answer is gonna be 12.19

Step-by-step explanation:

Answer:

$412.80

Step-by-step explanation:

480 x 0.20(20%)=96

480-96=384

384 x .075(7.5%)=28.8

384+28.80=412.80

Given the expression:

We have, for the cases when x=5,10 and 15:

therefore, if x= 5, then y= -29/2, if x=10, then y=-33 and if x=15, then y=-101/2

Answer:

The area can be found by multiplying the two terms, and the perimeter by doubling and adding them.

Using this, we find that the area of the rectangle is 60x³, and the perimeter is 10x² + 24x.

Step-by-step explanation:

First let's find the area:

5x² × 12x

= 60x³

Now the perimeter:

2(5x² + 12x)

= 10x² + 24x

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:

  59%

Step-by-step explanation:

  1475 / 2500 = 0.59 or 59%

Step-by-step explanation:

The image point of (-8,3) after the transformation R90 followed by a reflection over the y-axis is (3, -8).

The transformation R90 o ry-axis means reflecting the point (-8,3) across the y-axis and then rotating the resulting point 90 degrees clockwise.
When reflecting across the y-axis, the x-coordinate becomes its opposite, so (-8,3) becomes (8,3).
Then, rotating 90 degrees clockwise means swapping the x and y coordinates and changing the sign of the new x-coordinate. So, (8,3) becomes (-3,-8).

 
The image point of (-8,3) after the transformation R90 (90-degree rotation) followed by a reflection over the y-axis (ry-axis) can be found in two steps:
1. 90-degree rotation (R90): The coordinates of a point after a 90-degree rotation around the origin are (-y, x). So, for the point (-8, 3), the new coordinates after R90 will be (-3, -8).
2. Reflection over the y-axis (ry-axis): The coordinates of a point after reflection over the y-axis are (-x, y). So, for the point (-3, -8) after the 90-degree rotation, the new coordinates after the reflection will be (3, -8).

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