3. During a particular year, 42 graduating boys chose to attend a 4-year college,
while 58 boys attended a 2-year college; 84 girls chose a 4-year college, and 16
attended a 2-year college. What conclusion can be drawn about how gender and
choice of college are related?

Answer:

y  - 7 or A

Step-by-step explanation:

7 is than a number so it would be y - 7. y - 7 = 7 less than a number

Answer:

B

Step-by-step explanation:

sinx = 3/5

to find the value of x...figure sine inverse(Arcsin) of 3/5 out.

sin^-1 ( 3/5) = 0.64.

siny = 7/25

sin^-1(7/25) = 0.28

x = 0.64

y = 0.28

tan(x-y)

=tan(0.64-0.28)

= tan (0.36)

= tan (9/25)

= 0.376.

now divide every fraction given from a - d to find the one equivalent to 0.376 because that's the value of tan(x-y).

B. 44 / 117 = 0.376.

Answer:

b

Step-by-step explanation:

sin x = \(\frac{opposite}{hypotenuse}\) = \(\frac{3}{5}\)

This is a 3- 4- 5 right triangle

with adjacent side = 4 , then

cos x = \(\frac{adjacent}{hypotenuse}\) = \(\frac{4}{5}\) , thus

tan x = \(\frac{sinx}{cosx}\) = \(\frac{\frac{3}{5} }{\frac{4}{5} }\) = \(\frac{3}{5}\) × \(\frac{5}{4}\) = \(\frac{3}{4}\)

---------------------------------------------------

sin y = \(\frac{7}{25}\)

This is a 7- 24- 25 right triangle

with adjacent side = 24 , then

cos y = \(\frac{adjacent}{hypotenuse}\) = \(\frac{24}{25}\) , thus

tan y = \(\frac{siny}{cosy}\) = \(\frac{\frac{7}{25} }{\frac{24}{25} }\) = \(\frac{7}{25}\) × \(\frac{25}{24}\) = \(\frac{7}{24}\)

----------------------------------------------------

tan(x - y) = \(\frac{tanx-tany}{1+tanxtany}\)

             = \(\frac{\frac{3}{4}-\frac{7}{24} }{1+\frac{3}{4}(\frac{7}{24}) }\)

             = \(\frac{\frac{11}{24} }{1+\frac{21}{96} }\)

             = \(\frac{\frac{11}{24} }{\frac{117}{96} }\)

             = \(\frac{11}{24}\) × \(\frac{96}{117}\)

             = \(\frac{11}{1}\) × \(\frac{4}{117}\)

             = \(\frac{44}{117}\) → b

Answer:

15, - 7, 8, - 24

Step-by-step explanation:

1

f(4) = \(\frac{1}{2}\) × 4 + 13 = 2 + 13 = 15

2

f(5) = \(\frac{3}{5}\) × 5 - 10 = 3 - 10 = - 7

3

f(- 1) = (- 1)² + 7 = 1 + 7 = 8

4

f(2) = 3(2)³ - 12(2)² = 3(8) - 12(4) = 24 - 48 = - 24

Answer:

C: in terms of the number of books, m, she orders.

Step-by-step explanation:

Answer: y = -2/3x + 5

Step-by-step explanation: you find the slope by finding “rise/run”. the rise is -2, and the run is 3, so the slope is -2/3. the y intercept is 5

Answer:

1.5

Step-by-step explanation:

See the screenshots for step by step explanation

 Use symoballab it is helpfull

The probability that at most 4 customers arrive within a 5-minute period is approximately 0.128 and the probability that the service time will be less than or equal to 30 seconds is 0.5276.

Given that during lunchtime, customers arrive at a postal office at a rate of 36 per hour. The interarrival time of the arrival process can be approximated with an exponential distribution. Customers can be served by the postal office at a rate of 45 per hour. The system has a single server. The service time for the customers can also be approximated with an exponential distribution.

We need to calculate the probability that at most 4 customers arrive within a 5-minute period.

We know that,

λ = 36 customers per hour

So, μ = 36 customers per 60 minutes

= 0.6 customers per minute

P(X ≤ 4) = P(0) + P(1) + P(2) + P(3) + P(4)

= e^-λ + λe^-λ + (λ^2 / 2)e^-λ + (λ^3 / 6)e^-λ + (λ^4 / 24)e^-λ

= e^-36 (1 + 36 + (36^2 / 2) + (36^3 / 6) + (36^4 / 24))≈ 0.128

We need to calculate the probability that the service time will be less than or equal to 30 seconds.

We know that,

μ = 45 customers per hour

= 0.75 customers per minute

P(T ≤ 30 seconds) = P(T ≤ 0.5 minutes)

= 1 - e^-μT

= service time

= 30 seconds

= 0.5 minutes

∴ P(T ≤ 0.5)

= 1 - e^-0.75

= 1 - 0.4724

= 0.5276

Hence, the probability that at most 4 customers arrive within a 5-minute period is approximately 0.128 and the probability that the service time will be less than or equal to 30 seconds is 0.5276.

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In infinite series is that if the term of the series are not approaching to 0 then the series cannot possible to converging.Limit does not gives you information whether series will converge or diverge.

A series is said to be converge if it converges to a value as the terms of series tends to infinity. A series is said to diverge if it does not converge to a value but keeps on either increasing or decreasing as the terms of series tends to infinity.

By using the limit comparison test.

By divergent test

By absolutely convergent test

Divergence tests provide certain conditions for divergent series while convergence tests provide certain conditions for convergent series.

Now \(\lim_{n \to \infty} a_n\)\(\neq\)0

Then series divergent.

\(\lim_{n \to \infty} a_n\) =0

Then series may converge or diverge.

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Answer:If 1200 square inch of material is available to make a box with a square base and no top

Step-by-step explanation:

The statement or reason to each box which complete the proof are;

Subtraction Property of Equality

Division Property of Equality

4z + 5 = 17

Then z = 3

4z + 5 = 17

subtract 5 from both sides (Subtraction Property of Equality)

4z = 17 - 5

4z = 12

divide both sides by 4 (Division Property of Equality)

z = 12/4

Therefore, the value of z = 3

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The solution allows us to determine the individual consumption of Molly and Torry, with Molly eating 5 ice cream sandwiches and Torry eating 7 ice cream sandwiches.

To explain further, let's assume Torry ate "n" ice cream sandwiches in one week. When we add Molly's consumption of 5 sandwiches to Torry's "n" sandwiches, the total number of sandwiches eaten by both of them is 5 + n. According to the given information, the combined total is 12 sandwiches.

We can express this relationship in an equation:

5 + n = 12

To find the value of "n," we subtract 5 from both sides of the equation:

n = 12 - 5

n = 7

Hence, Torry ate 7 ice cream sandwiches in one week. The solution allows us to determine the individual consumption of Molly and Torry, with Molly eating 5 ice cream sandwiches and Torry eating 7 ice cream sandwiches.

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Answer:

Step-by-step explanation:

Okay, this is a percentage usage problem...

1. We have 2,750 dollars. We have to find what 8% of 2,750 and then multiply it by 5.

2,750 x 0.08 = 220

220 x 5 = 1,100

- Now we have to add 1,100 to 2,750

1,100 + 2,750 = 3,850

Answer = $3,850

I gots to go but I answered number 1 for you :)

Answer:

(2,2)

Step-by-step explanation:

x=4-y

2 ( 4 - y )+ 3y= 12

2y = 12 -8

y= 2

substitute y in first eq. :

x=4 - 2

x= 2

Answer:

-3, 3, 9

Step-by-step explanation:

Answer on Edge

The experimental study design described is a 2x2 factorial design, where two independent variables (intervention and pretest) are crossed to create four groups for examining the main and interaction effects on the dependent variable.

Factorial designs allow researchers to examine the effects of multiple independent variables on a dependent variable. In this case, the two independent variables are the intervention (receiving vs. not receiving) and the pretest (receiving vs. not receiving). The two levels of each independent variable are crossed to create four different groups, two of which receive the intervention and two of which do not, two of which receive a pretest, and two of which do not.

This design allows the researcher to examine both the main effects of each independent variable and the interaction effects between the two independent variables on the dependent variable.

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The chain rule is a fundamental mathematical tool used to differentiate composite functions. It is a rule that allows us to differentiate a composite function (a function of a function) by decomposing it into multiple single-variable functions.

To use the chain rule, first identify each individual function in the composite function. Next, differentiate each function separately, using the standard rules of differentiation. Finally, multiply the derivatives of each individual function together. The result is the of the composite function.

For example, if we have a composite function f(x)=g(h(x)), then the chain rule states that the derivative of f is equal to the derivative of g times the derivative of h. This can be expressed mathematically as f'(x)=g'(h(x))*h'(x).

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The length of the arc is subtended by the given angle in a circle with a radius of 12.49 centimeters and an angle measured as 5.9 radians is 73.931 centimeters.

The formula to find the length of an arc subtended by an angle in a circle is L = rθ, where L is the length of the arc, r is the radius of the circle, and θ is the angle measured in radians.

Substituting the given values, we have:
L = (12.49 cm)(5.9 radians)
L = 73.931 cm (rounded to three decimal places)

Therefore, the length of the arc is subtended by the given angle in a circle with a radius of 12.49 centimeters and an angle measured as 5.9 radians is 73.931 centimeters.

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The +/- symbol is called the plus-minus symbol or the plus-or-minus symbol.

The +/- symbol is called the plus-minus symbol or the plus-or-minus symbol. It is used to indicate that a value can be either positive or negative. The symbol consists of two parts: the plus sign (+) and the minus sign (-), connected by a horizontal line.

For example, if a mathematical equation contains the plus-minus symbol before a number, it means that the number could be either positive or negative. So, if the equation is x = ±3, it means that x could be either 3 or -3.

The plus-minus symbol is commonly used in mathematics, physics, and engineering to express the uncertainty of a value or the range of possible values. It can also be used in labeling measurements that have a margin of error, such as ±0.5 cm for a length measurement.

Therefore, the symbol +/- is called plus or minus

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The quartile deviation of the first six whole numbers is 1.5.

What exactly are whole numbers?

Whole numbers are a set of numbers that includes all positive integers  and their negatives. Whole numbers do not include fractions or decimals.

In other words, whole numbers are the counting numbers, zero, and the negative of the counting numbers. Whole numbers are used to represent quantities that can be counted, such as the number of people in a room, the number of books on a shelf, or the number of apples in a basket.

Now,

To find the quartile deviation of the first six whole numbers (1, 2, 3, 4, 5, 6), we first need to find the first and third quartiles.

The median of the first half of the data is the first quartile (Q1). The median for the data set 1, 2, 3 is 2, hence Q1 = 2.

The median of the second half of the data is the third quartile (Q3). The median for the data set 4, 5, 6 is 5, hence Q3 = 5.

Now we can calculate the quartile deviation:

quartile deviation = (Q3 - Q1) / 2

= (5 - 2) / 2

= 1.5

Therefore, the quartile deviation of the first six whole numbers is 1.5.

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Answer: 77  and 103

Step-by-step explanation:

\frac{\sin A}{a}=\frac{\sin B}{b}

a

sinA

​

=

b

sinB

​

From the reference sheet (reciprocal version).

\frac{\sin G}{960}=\frac{\sin 69}{920}

960

sinG

​

=

920

sin69

​

Plug in values.

\sin G=\frac{960\sin 69}{920}\approx 0.9741709

sinG=

920

960sin69

​

≈0.9741709

Evaluate.

G=\sin^{-1}(0.9741709)\approx 76.95\approx 77^{\circ}

G=sin

−1

(0.9741709)≈76.95≈77

∘

Inverse sine and round.

\text{Quadrant II: } 180-77=103^{\circ}

Quadrant II: 180−77=103

∘

Sine is positive in quadrants 1 and 2.

\text{Check for possibility:}

Check for possibility:

No triangle's angles may add to more than 180.

69+77=146^{\circ}\leftarrow \text{Possible}

69+77=146

∘

←Possible

Less than 180.

69+103=172^{\circ}\leftarrow \text{Possible}

69+103=172

∘

←Possible

To find the number of people who like all three fruits, we can use the principle of inclusion-exclusion.In a group of 6 people, 45 like apples, 30 like bananas, and 15 like oranges.

The total number of people who like only two fruits is 22, and they like at least one of the fruits.

Let's break it down:
- The number of people who like apples only is 45 - 22 = 23.
- The number of people who like bananas only is 30 - 22 = 8.
- The number of people who like oranges only is 15 - 22 = 0 (since there are no people who like only oranges).
To find the number of people who like all three fruits, we need to subtract the number of people who like only one fruit from the total number of people in the group:

6 - (23 + 8 + 0)

= 6 - 31

= -25.
Since we can't have a negative number of people, there must be an error in the given information or the calculations. Please check the data provided and try again.

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There are no people in the group who like all three fruits. In a group of 6 people, 45 like apples, 30 like bananas, and 15 like oranges. We need to find the number of people who like all three fruits. To solve this, we can use a formula called the inclusion-exclusion principle.

This principle helps us calculate the number of elements that belong to at least one of the given sets.

Let's break it down:

1. Start by adding the number of people who like each individual fruit:
  - 45 people like apples
  - 30 people like bananas
  - 15 people like oranges

2. Next, subtract the number of people who like exactly two fruits. We know that there are 22 people who fall into this category, and they also like at least one of the fruits.

3. Finally, add the number of people who like all three fruits. Let's denote this number as "x".

Using the inclusion-exclusion principle, we can set up the following equation:

    45 + 30 + 15 - 22 + x = 6

Simplifying the equation, we get:

    68 + x = 6

Subtracting 68 from both sides, we find that:

    x = -62

Since the number of people cannot be negative, we can conclude that there are no people who like all three fruits.

In conclusion, there are no people in the group who like all three fruits.

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Answer:

M(2, −4), N(−2, 4)

Step-by-step explanation:

Transformation is the movement of a point from one place to another. If an object is transformed, all the points of the object are being changed. There are different types of transformation which are: Reflection, rotation, translation  and dilation.

Reflection of a point is the flipping of a point. If a point A(x, y) is reflected across the x axis, the new point is A'(x, -y). If a point B(x, y) is reflected across the y axis, the new point is A'(-x, y).

The coordinates of point L on a coordinate grid are (−2, −4), if Point L is reflected across the y-axis to obtain point M, the coordinates of M is at (2, -4).

if Point L is reflected across the x-axis to obtain point N, the coordinates of N is at (-2, 4).

Answer: M(2, −4), N(−2, 4) So D can i get branliest

Step-by-step explanation:

The probability level used by researchers to indicate the cutoff probability level (highest value) that will allow them to reject the null hypothesis is called the alpha level.

Alpha level refers to a threshold value which is used to determine if a test statistic is statistically significant.  In a statistical test, it demonstrates an acceptable probability of a Type I error. As alpha corresponds to a probability, it lies in the range of 0 to 1. The alpha level denoted as alpha or α refers to the probability of rejecting the null hypothesis when it is true. For example, a alpha level of 0.05 demonstrate a 5% risk of concluding that a difference exists when there is no actual difference.

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Bob continues his research because even though there is no linear equation relationship between the number of bedrooms and selling price, there could be another type of relationship.

Bob continues his research because even though the correlation value he calculated between the number of bedrooms and the selling price was only 0.05, this does not necessarily mean that there is no relationship of any kind between these two variables. It simply means that there is no linear relationship between the two. There could still be other types of relationships between the two variables, such as an exponential or quadratic relationship. It is possible that further analysis and exploration of the data set would reveal such a relationship and allow Bob to uncover the relationship between the two variables. Additionally, even if the correlation value is low, it does not necessarily mean that there is no relationship between the two variables. It simply means that the relationship is weak. Therefore, Bob should continue his research in order to uncover any potential relationships between the number of bedrooms and selling price.

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Answer:

The least number of stamps required is \(9\)

Step-by-step explanation:

Let the number of \(3\) cent stamps be \(x\) and \(4\) cent stamps be \(y\)

We have

\(3x+4y=33\)

The minimum number is obtained when more  \(4\) cent stamps are used

Here \(y\) cannot be greater than \(8\) since \(\frac{33}{4} <9\)

Substitute \(y=8\)

\(3x+4\times 8=33\\\\3x=1\\\\x=\frac{1}{3}\)

Not possible since \(x\) is not a fraction

Substitute \(y=7\)

\(3x+4\times 7=33\\\\3x=5\\\\x=\frac{5}{3}\)

Not possible since \(x\) is not a fraction

Substitute \(y=6\)

\(3x+4\times 6=33\\\\3x=9\\\\x=\frac{9}{3}\\\\=3\)

Possible

Hence minimum number of stamps is

\(=x+y\\\\=3+6\\\\=9\)

Answer:

Step-by-step explanation:

because 2 + 2 is 4

Answer:

A. 7,6,14

Step-by-step explanation:

Rules for side lengths of triangle.

1. Any side should be less then the sum of the other two angles.

2. The same side should be greater than the subtraction of the other side lengths(bigger side - smaller side)

A.

7 < 6+14 .  Correct

7> 14-6 .     Incorrect

This cannot be a solution (impossible)

B.

4<4+4 .  Correct

4>4-4 .  correct

This is a solution (equilateral triangle)

C.

6<6+2 .  Correct

6>6-2 .  Correct

This is a solution (isosceles triangle)

D.

7<8+13 . Correct

7>13-8 . Correct

This is a solution (scalene triangle)

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

47.5°

Step-by-step explanation:

(2x+10)°+75°= 180°------ sum of angles of a triangle

or, (2x+10°)=180°-75°

or, (2x+10°)=105°

or, 2x=105°-10°

or,2x=95°

or, x= 95÷2

therefore, x=47.5°

Answer:

x=21.25

Step-by-step explanation:

The lower two angles will be equal in an isosceles triangle and all angles in a triangle add up to 180 degrees so:

75+(2x+10)+(2x+10)=180

75+4x+20=180

4x=85

x=21.25

(both lower angles=52.5 degrees)

Proof:

52.5+52.5+75=180

Answer:

4 hours

Step-by-step explanation:

If it took them together with a total of 6 hours and Oliver is half as fast meaning Jose is faster it will take Jose 4 hours.

A simple equation is

6= 4+2

And the 2 would be Oliver since Oliver is half as fast.

GCF(110,220) = 110

LCM(110,220) = ( 110 × 220) / 110

LCM(110,220) = 24200 / 110

LCM(110,220) = 220

hopefuly it help!!!