Which equation can be used to find the unknown length, a, in this triangle?
A right triangle has a side with length 15 meters and hypotenuse with length 17 meters. The other side is labeled a.
A. a squared + 15 squared = 17 squared
B. 15 squared + 17 squared = a squared
C. a squared + 15 = 17 squared
D. a + 15 squared = 17 squared

Answer:

[tex]p^D-p^E=0.192[/tex]  

Step-by-step explanation:

We are given the following in the question:

Population D:

30% of the turtles have a shell length greater than 2 feet.

Sample size,

[tex]n_D = 40[/tex]

Number of turtles that had shell length greater than 2 feet,

[tex]x_D = 15[/tex]

Sample proportion:

[tex]p^D=\dfrac{x_D}{n_D} =\dfrac{15}{40} = 0.375[/tex]

Population E:

20% of the turtles have a shell length greater than 2 feet.

Sample size,

[tex]n_E = 60[/tex]

Number of turtles that had shell length greater than 2 feet,

[tex]x_E = 11[/tex]

Sample proportion:

[tex]p^E=\dfrac{x_E}{n_E} =\dfrac{11}{60} = 0.183[/tex]

We have to find the difference between the sample proportion.

Difference in sample proportion =

[tex]=p^D-p^E\\=0.375-0.183\\=0.192[/tex]

Answer:

if you can write a comment so that makes sense, i might be able to help you

Step-by-step explanation:

sorry

Answer:

The answer is 64pi

Step-by-step explanation:

Answer:

D: 286 [tex]in^{2}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] * 5.5 * 13 = 35.75 (area of one triangle)

35.75 * 8 = 286 (area of entire octagon)

Answer:

A

Step-by-step explanation:

Have a nice day everyone

The slope value calculated by Jalen is not correct. Jalen has used the ordered pairs in the wrong order.

What is the point slope form of a line ?

Point slope form is used to represent a straight line using its slope and a point on the line.

It is given that Jalen is computing the slope of a line.

We know that the equation of a line in point slope form is given by :

(y - y1) = m (x - x1).

As per the computation done by Jalen ordered pairs are (-4, 0) and (2, 3).

For the line : (x , y) = (4 , 0)  and (x1 , y1) = (2 , 3).

So ,

Slope will be equal to :

m = (y - y1) / (x - x1)

m = (0 - 3) / (4 - 2)

m = -3 / 2

So , the slope calculated by Jalen is not correct as he has used the ordered pairs in the wrong order.

Therefore , the slope value calculated by Jalen is not correct. Jalen has used the ordered pairs in the wrong order.

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Answer:

$294

Step-by-step explanation:

1 is equivalent to 100% which would mean .05 is equivalent to 5%.

Therefore, multiply the base cost by 1.05 to find the total cost.

$280 x 1.05 = $294

Answer:

The river is 6 feet at two times, 2.15 hours after the rain and 4.65 hours after the rain.

Step-by-step explanation:

We are given the following in the question:

[tex]d=-0.25t^2+1.7t+3.5[/tex]

[tex]0\leq t\leq 7[/tex]

where, d is the depth of river in feet and t is time in hours after a heavy rain.

We have to find the number of hours for which the depth of river is 6 feet.

Putting d = 6 in the equation, we get,

[tex]6=-0.25t^2+1.7t+3.5\\\Rightarrow +0.25t^2-1.7t+2.5 = 0\\\text{Using quadratic formula}\\\\\Rightarrow t = \dfrac{1.7\pm \sqrt{(-1.7)^2-4(0.25)(2.5)}}{2(0.25)}\\\\t\approx 4.65, 2.15[/tex]

Thus, the river is 6 feet at two times, 2.115 hours after the rain and 4.65 hours after the rain.

The attached image shows the graph.

Answer:

Mean of the sampling distribution, [tex]\mu_{\bar{x}}=\mu[/tex]

Standard deviation of the sampling distribution [tex]\dfrac{\sigma}{\sqrt{n}}[/tex]

Step-by-step explanation:

Given a simple random sample of size n which is drawn from a large population

Answer:

a. (8,-7,-9)

Step-by-step explanation:

just took the quiz and this is the answer

Answer:

The person over there is correct. The answer is A.

Step-by-step explanation:

I take the quiz and it is correct. Edge 2021.

Answer:

b) Median 32; Q1 =27

Step-by-step explanation:

So here it is, our Box and Whiskers Plot.

Answer:

The population of town is approximately 2400 people.

Step-by-step explanation:

We are given the following in the question:

Area of town = 50.5 square miles

Population density of town = 48.2 people per square mile

Population of town =

[tex]P= \text{Area}\times \text{Population density}\\P=50.5\times 48.2\\P=2434.1[/tex]

Now, we have to round off this population to nearest hundred.

After rounding off,

[tex]P=2400\text{ people}[/tex]

Thus, the population of town is approximately 2400 people.

Answer:

The answer is A) Vince.

Step-by-step explanation:

Vince had 781 total hours. Claire had 764 total hours. Joey had 767 total hours. Katharine had 775 total hours. Therefore the person with the most hours, Vince, gets the bonus.

Jake will give the bonus to Vince, as she has worked the greatest total number of hours over the past six months.

Two or more expressions with an Equal sign is called as Equation.

To determine who will receive the bonus, we need to calculate the total number of hours worked by each employee over the past six months.

For Vince:

130 + 135 + 131 + 133 + 134 + 118 = 781

For Claire:

129 + 130 + 125 + 126 + 121 + 133 = 764

For Joey:

134 + 121 + 119 + 127 + 132 + 134 = 767

For Katharine:

122 + 131 + 134 + 133 + 115 + 140 = 775

Jake will give the bonus to Vince, as she has worked the greatest total number of hours over the past six months.

Hence, Jake will give the bonus to Vince, as she has worked the greatest total number of hours over the past six months.

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Answer:

1027.2 m

Step-by-step explanation:

Answer:

(hk)(x) = 2x³-18x

(k/f)(x) = 2

(h/g)(x) = x+3

Step-by-step explanation:

(hk)(x)

(x² - 9)(2x)

2x³ - 18x

(k/f)(x)

2x/x

2

(h/g)(x)

(x² - 9)/(x - 3)

[x² - 3²]/(x - 3)

(x + 3)(x - 3)/(x - 3)

x + 3

Answer:

0.1419 ( (if upper and lower cases are interchangeable)

0.348 ( if upper and lower cases are distinct letters)

Step-by-step explanation:

Each digit has 36 possible choices as 26+10

computer generates six characters

there are only 26 choices for letters only, (if we assume upper and lower cases are interchangeable)

For number of letters-only arrangements = [tex]26^{6}[/tex] = 308915776

For number of alphanumeric arrangements = [tex]36^{6}[/tex]= 2176782336

In order to find the probability of letters-only arrangements : [tex]\frac{308915776}{2176782336}[/tex]

=>0.1419

Now, in different scenario if upper and lower cases are not interchangeable.

We will have 26+26+10=62 alphanumeric choices, and 52 alphabetic choices

Therefore, probability of letters-only arrangements will be [tex]\frac{52^{6} }{62^{6} }[/tex]

=>0.348

Answer:

The probability of all letters arrangement if the upper cases and the lower cases of the English alphabet are interchangeable = 14.2%

The probability of all letters arrangement if the upper cases and the lower cases are not interchangeable = 34.8%

Step-by-step explanation:

please kindly check the attached files for explanation.

Answer:

The area of silver charm is 33.75 square mm.

Step-by-step explanation:

We are given the following in the question:

The silver and golden charms are similar isosceles triangles.

Gold charms:

Base = 9 mm

Area = 15 square mm

Silver charm:

Base = 9 mm

Property of similar triangles:

Using this property we can write:

[tex]\dfrac{\text{Area of gold charm}}{\text{Area of silver charm}}=\dfrac{(\text{Base of gold charm})^2}{(\text{Base of silver charm})^2}\\\\=\dfrac{15}{\text{Area of silver charm}}=\dfrac{6^2}{9^2}\\\\\text{Area of silver charm} = \dfrac{15\times 9^2}{6^2} = 33.75\text{ mm}[/tex]

Thus, the area of silver charm is 33.75 square mm.

Answer:

2 Scoring Attempts

Step-by-step explanation:

There are 48 attempts divided by 24 game which equals 2.

Answer:

it is b

Step-by-step explanation:

Answer:

30N

Step-by-step explanation:

Normal reaction

The force feel by fist is 30N.

A Force is a push or pull upon an object resulting from the object's interaction with another object.

Newton's Third Law of Motion states that for every action, there is an equal and opposite reaction.

Since you punch a wall with a force of 30N, the fist will feel the same force in the opposite direction as per the Newton's Third Law of Motion.

Hence The force feel by fist is 30N.

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Answer:

1/20

Step-by-step explanation:

There are 20 possible probabilites/combinatins of what to wear, and wearing a coat, with a purple hat, black boots, and purple mittens is only 1 of those 20 probabilities so the answer is 1/20

Answer: The answer is the first one, angle JLK

Step-by-step explanation:

The another name for Angle 1 is Angle JLK, the correct option is 1.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The word “angle” is derived from the Latin word “angulus”, which means “corner”. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

Given;

Line segments J L and L M combine to form an angle.

Line segment L K comes out of the angle to form 2 angles.

Now,

First the angle was JLM

Line segment LK cuts the angle JLM in 2

So, after  Line segment L K comes out of the angle to form 2 angles

Angle= JLK

Therefore, by new angle formed will be called JLK.

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Answer:

where are the tables lol

Answer:

C. 115 degrees

Step-by-step explanation:

Knowing one side of a circle is 180 degrees, we should subtract 180-65.

- 180-65=115 degrees

The probability that Mildred will select a dime first and then a month penny is 1/24.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Total possibilities = 16

So, Probability of a dime of the first draw = 10/16 = 5/8

and, Probability of a penny on the second draw = 1/15

Thus, Probability of both = 5/8 x 1/15

                                         = 1/24

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The probability that Mildred will select a dime first and then a penny is 1/24.

To calculate the probability that Mildred will select a dime first and then a penny from her bag of coins, we need to consider the following steps:

1. Probability of selecting a dime first:
- Mildred has a total of 10 dimes, 5 nickels, and 1 penny in the bag.
- The probability of selecting a dime on the first draw is the number of dimes divided by the total number of coins, which is 10 dimes out of 16 total coins.

2. Probability of selecting a penny next:
- After selecting a dime on the first draw, Mildred will have 9 dimes, 5 nickels, and 1 penny remaining in the bag.
- The probability of selecting a penny on the second draw is the number of pennies divided by the total number of remaining coins, which is 1 penny out of 15 remaining coins.

3. To find the overall probability, we multiply the individual probabilities:
- Probability = (Number of dimes / Total coins) * (Number of pennies / Remaining coins)
- Substituting the numbers, we get (10/16) * (1/15) = 1/24.

Therefore, the probability that Mildred will select a dime first and then a penny is 1/24.

Answer:

Cosine W = 0.32

Step-by-step explanation:

Adj/Hypo = 12/37 = 0.3243 = 0.32

Final answer:

The cosine of ∠W in triangle ΔVWX is found by dividing the length of the side adjacent to ∠W (XW) by the length of the hypotenuse (WV), resulting in cos(∠W) ≈ 0.32 to the nearest hundredth.

Explanation:

In triangle ΔVWX, where ∠X=90°, VX = 35, XW = 12, and WV = 37, we are asked to find the value of the cosine of ∠W to the nearest hundredth. Since ∠X is a right angle, this triangle is a right triangle, and we can use trigonometric ratios to find the cosine of ∠W. The cosine of an angle in a right triangle is equal to the adjacent side over the hypotenuse.

To find the cosine of ∠W, we look at the sides adjacent to ∠W, which are XW and WV. The length of XW is 12, and WV, being the hypotenuse, is 37. Therefore, to find cos(∠W), we calculate 12/37. Doing this calculation, we get cos(∠W) ≈ 0.32 to the nearest hundredth.

The cosine is a trigonometric function that relates the lengths of sides in a right triangle to the angles, and it is specifically the ratio of the length of the adjacent side to the length of the hypotenuse.

Answer:

A

Step-by-step explanation:

One inequality could be x > 3. So when x = 4 this is true because 4 is greater than 3.

The solution is Option C.

The value of the inequality equation x/2 < 3 is true when x = 4

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

a)

Let the inequality equation be

x + 5 < 3

when the value of x = 4

Substitute the value of x as 4 in the equation , we get

4 + 5 < 3

9 < 3 is not true

b)

Let the inequality equation be

9x > 36

when the value of x = 4

Substitute the value of x as 4 in the equation , we get

36 > 36

36 > 36 is not true

c)

Let the inequality equation be

x/2 < 3

when the value of x = 4

Substitute the value of x as 4 in the equation , we get

4/2 < 3

2 < 3 is true

d)

Let the inequality equation be

18 < x + 8

when the value of x = 4

Substitute the value of x as 4 in the equation , we get

18 < 4 + 8

18 < 12 is not true

Hence , the inequality equation is x/2 < 3 when x = 4

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Answer:

See explanantion

Step-by-step explanation:

Solution:-

- We will start of with the given function y = x^3, and plot a small sketch.

First transformation:-

- We multiply the y = x^3, with a constant a = 1/3. Where,

                                   y1 = a*y

Where,                 a : real constant

- The cases for a:

         a > 1 ----> makes the function steeper

         0 < a < 1  ----> Flattens the graph/less steep

         a < - 1  ------ > Reflection about x-axis and makes the function steeper.

       0 < a < -1  ----> Flattens the graph/less steep and reflection about x-axis

- For a = 1/3, the graph flattens or in other words with increasing value of "x" the value of "y" increases at a decreased rate.

Second Transformation:-

- We add the b = 5 to the resulting graph y = 1/3*x^3.

                                y2 = 1/3*x^3 + b

Where,                     b : Real constant

- The cases for b:

           b > 0  --------> Vertical upward shift of the graph by b units

           b < 0 ---------> Vertical downward shift of the graph by b units

- For b = 5 > 0, The graph 5 units up or in other words the y-intercept shifts from y = 0 to y = 5.

- The required function y = 1/3*x^3 + 5 undergoes two transformation. a = 1/3 flatten out the starting function y = x^3 and b = 5 shifts the resulting graph vertically upwards.

Final answer:

To produce the function y = (1/3)*x³ + 5 from y = x³, two transformations occur: a vertical scaling by 1/3 followed by a vertical translation up 5 units.

Explanation:

The function y = x³ has undergone two transformations to become y = (1/3) * x³ + 5. First, a vertical scaling by a factor of 1/3 has occurred, shrinking the graph vertically by a third of its original size. The second transformation is a vertical translation of 5 units upwards, which takes every point on the graph and moves it 5 units higher on the y-axis. These transformations would occur in the following order:

Answer:  She is incorrect because she should have squared each leg length and then found the sum.

The Pythagorean Theorem is a² + b² = c²  not (a+b)²=c² as written.

Answer:

Answer is c)))

Answer:

The answer to your question is 900 miles

Step-by-step explanation:

Data

Consumption = 6 mi/gallon

total fuel = 150 gallons

number of miles = ?

Process

1.- To solve this problem use proportions and cross multiplication

                         6 miles ------------------ 1 gallon

                          x          ------------------  150 gallons

                                   x = (150 x 6) / 1

-Simplification

                                   x = 900 / 1

-Result

                                   x = 900 miles

Answer:

-2

Step-by-step explanation:

this is i ready lol but basically the actual answer is -1.5 but if you round that you get -2

Answer:

-2

Step-by-step explanation:

3 3/4 times -2/5 = -1.5, which is closer to -2.

Answer:

[tex] \frac{15 }{4} \pi \:[/tex]

Step-by-step explanation:

Radius of circle (r) = 18/2 = 9 ft

Central angle = 180° - 30° = 150°

[tex]length \: of \: arc \\ = \frac{150 \degree}{360 \degree} \times 2\pi \: r \\ \\ = \frac{150 \degree}{360 \degree} \times 2 \times \pi \: \times 9\\ \\ = \frac{5 }{12 } \times 18 \times \pi \: \\ \\ = \frac{5 }{4} \times 3\times \pi \:\\ \\ = \frac{15 }{4} \pi \:[/tex]

The length of the darkened arc can be found using the formula s = Δθr, where s is the length of the arc, Δθ is the angle of rotation, and r is the radius of curvature.

The length of the darkened arc can be found by using the formula for arc length: s = Δθr, where s is the length of the arc, Δθ is the angle of rotation, and r is the radius of curvature. In this case, the angle of rotation is 2π radians (since it is a complete revolution) and the radius is given. So, substituting these values into the formula, we have s = 2πr.