Select the scenario that is classified as a permutation without repetition
A : a teacher choosing students for classroom jobs like line leader
B: a math test with multiple choice questions
C: drawing a single card from a deck
D: runners finishing the Boston marathon

To determine if two triangles are congruent, the following conditions must be met:

To determine if triangle HL is congruent, you must first compare the lengths of each side. If the lengths of each side are equal, then the triangles are similar. Next, you must compare the angles of each triangle. If the angles of each triangle are equal, then the triangles are congruent. Finally, you must compare the pairs of vertical angles, alternate interior angles, alternate exterior angles, and consecutive interior angles. If all of these pairs are equal or supplementary, then the triangles are congruent. If all three conditions are met, then it can be concluded that triangle HL is congruent.

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The left side 10x+25 is the cost expression for Black Diamond, while the right hand side 5x+50 is for Bunny Hill. The x is the number of hours.

Answer:

tbh i do not know the ancer i wish you good luck

The vertical component of the initial velocity will basically decide where the vertices will be. that is how the initial velocity is related to the vertex of the parabola.

A parabola is a symmetrical curve that is formed by the intersection of a plane and a cone, where the plane is parallel to one of the cone's generating lines. The shape of a parabola is similar to that of a U-shaped curve, but with a sharper curve near the bottom of the U.

The parabola has several important properties, including a focus and a directrix. The focus is a point on the axis of symmetry of the parabola that is equidistant from every point on the curve. The directrix is a line that is perpendicular to the axis of symmetry and is equidistant from every point on the curve.

The equation of a parabola in standard form is y = ax² + bx + c, where "a" determines the direction and shape of the parabola, "b" determines the horizontal shift of the parabola, and "c" determines the vertical shift of the parabola.

The initial velocity will have two component basically, a horizontal component and a vertical component. The vertical component will decide how high the object will go, or in other words the vertical component of the velocity will decide the position of the vertex of the parabolis path which the object is going to follow.

When the vertical component of the velocity becomes 0, the object will be at it's maximum height (i.e the object will be at the vertex of the parabola)

The vertical component of the initial velocity will basically decide where the verties will be. that is how the initial velocity is related to the vertex of the parabola.

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If two polygons are similar, then they have the same shape but not necessarily the same size.

They can be either enlarged or reduced in size or reflected. Hence, even though the polygons are similar, they do not have to be drawn to scale.

The term scale refers to the ratio of any two corresponding lengths in two geometric figures, so if two figures are drawn to scale, the ratio of their corresponding lengths in the drawing is the same as the ratio of their corresponding lengths in the actual figures.

Therefore, if two polygons are similar but not drawn to scale, the drawing may not be an accurate representation of the actual figures, as the scaling information may not be consistent.

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Answer:

a = 4

Step-by-step explanation:

So your goal here is to get the variable on just one side, so add 4a to both sides.  This cancels out the 4a on of of the sides and puts a on the other side.  The new equation is 8 = -2a + 4a.  Combine like terms to get 8 = 2a.  Divide both sides by 2 to get a = 4.    You can check your work by replacing a with 4:  

8 - 4(4) = -2(4)

8 - 16 = -8

-8 = -8

Since the final result is true, (-8 does equal -8,) a = 4.  

Answer:

A=L*W

Let w be width

L=(w+6)

40=(w+6)*w

40= w^{2} +6w

w^{2} +6w-40=0

w^{2}+10w-4w-40=0  

w(w+10)-4(w+10)=0

(w-4)(w+10)=0

w=4

Length= 10 units

Width=4 units

Step-by-step explanation:

Answer:

∠BCE = 53°

BD = 16

Step-by-step explanation:

because it is a rhombus, AB = CB

∠BCE = 53°  because ΔABC is isosceles triangle

BD = BE

BD = 16

The sampling method commonly used for a life-work balance survey is probability sampling, specifically stratified random sampling. This approach involves dividing the target population into different strata or categories based on relevant characteristics (e.g., age, gender, occupation).

Limitations associated with this sampling method include:

1. Non-response bias: There is a possibility that not all selected individuals will participate in the survey, leading to non-response bias. Those who choose not to participate may have different perceptions of life-work balance, which can affect the generalizability of the findings.

2. Sampling error: Probability sampling aims to reduce sampling error by providing a representative sample of the population. However, there is still a chance that the selected sample may not perfectly reflect the entire population, resulting in sampling error. The extent of sampling error can be quantified using measures such as confidence intervals.

3. Limited generalizability: While probability sampling provides a more representative sample, the findings may still have limited generalizability to populations with different characteristics or contexts. It is important to consider the specific characteristics of the sample and the context in which the survey was conducted when interpreting and applying the results.

4. Cost and time constraints: Probability sampling can be time-consuming and expensive, especially when the target population is large or geographically dispersed. Practical constraints may limit the ability to survey a truly representative sample, and compromises may need to be made.

Overall, while probability sampling is a widely accepted method for achieving representative samples in surveys, it is essential to acknowledge and consider its limitations to ensure accurate interpretation and application of the survey findings.

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Answer:

1/2

Step-by-step explanation:

to compare we put the length of the sides into a fraction and simplify

2/4

8/16

1/2 is the simplified version

Hopes this helps please mark brainliest

Answer:

See below

Step-by-step explanation:

Odds AGAINST are 3 to5        then odds FOR are  2 to 5

    2/5   = .4 = 40%   chance of winning

Answer:

500$ is the answer....

Answer:

$60 and $560

Step-by-step explanation:

Prt= Interest

(500)(0.04)(3)= $60

A = P(1 + rt)

A = 500 (1 + 0.04(3))

A= $560

Step-by-step explanation:

here is the answer of each question respectively

The null and alternative hypotheses for the above scenario are

H0: Their van has a miles/gallon (MPG) rating equal to 57.2 miles/gallon

Ha: Their van has a miles/gallon (MPG) rating that is different from 57.2 miles/gallon

Given that,

One automaker says that their van gets 57.2 miles per gallon (mpg). An impartial testing business has been hired to evaluate the mpg for this van. They tested 91 vans, and the results showed that the average mileage was 56.9 with a standard deviation of 1.8 mpg. Is there adequate proof that the vans don't meet their mpg rating at the 0.025 level

To find: state the null and alternative hypotheses for the above scenario.

The null and alternative hypotheses for the above scenario are

H0: Their van has a miles/gallon (MPG) rating equal to 57.2 miles/gallon

Ha: Their van has a miles/gallon (MPG) rating that is different from 57.2 miles/gallon

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The required multiplicative rate in the given function is 3 / 4.

Option B is correct.

The function which is in format f(x) =a^x  where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,

From the table of the exponential functions,

The multiplicative factor is given as,

K = y₂/y₁

K =  [9 / 8] / [3/2]

K = 3 / 4

Thus, the required multiplicative rate in the given function is 3 / 4. Option B is correct.

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The value of p is 2 and q is either 7 or 13 and their sum is either 9 or 15.

It is given that the value of p and q is a prime number, and p<q.

But it is also given that the value of both should be less than 18 as well as a prime number.

Therefore the value of both should be 2, 3, 5, 7, 11, 13, and 17.

And it is also given that p<q.

Now we have to find the value of p + q which is odd but not a prime number.

To have a sum as an odd number one number should be even and as it is given that p<q, therefore p=2, and q = 3, 5, 7, 11, 13, 17.

So

p + q = 2 + 5 = 7, which is odd but it is prime

Now again, q = 7

p + q = 2 + 7 = 9 , which is odd as well as not prime.

Again take q = 11

p + q = 2 + 11 = 13, which is odd but prime

Now take q = 13

p + q =  2 + 13 = 15, which is odd as well as not prime.

Now take q = 17

p + q = 2 + 17 = 19, which is odd and prime.

Therefore we have p =2 and q = 7 or 13 and sum p + q =9 or 15 which is odd but not prime.

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Answer:

See below ~

Step-by-step explanation:

Question 1

The missing angles

⇒ The sides are equal

⇒ Angles are not 90°

⇒ It is a rhombus

Question 2

Answer:

17

Step-by-step explanation:

or, 4x= 68

or, x = 68/ 4

: x = 17

Answer:

The solution is in the image

Answer:

option a c d are correct

Step-by-step explanation:

    Since, the item was burried at the midpoint of the segment joining bowl and the tool. Archaeologist should dig at the midpoint which is at (2, 7).

        Mid-point = \((\frac{a+c}{2},\frac{b+d}{2})\)

Given points representing a bowl and a tool are (1, 4) and (3, 10).

Since, an item is burried at the midpoint of the segment joining bowl and tool,

Use the expression for the position of the mid-point of the segment.

Position of the item → \((\frac{1+3}{2},\frac{4+10}{2})\)

                                 → (2, 7)

       Hence, position of the burried item will be at (2, 7).

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Answer:

23?

Step-by-step explanation:

You are saying that she plants 23 daisies in her flower pots and then ask how many flower pots does mary plant daisies in even though you just said it?

Answer:

x= - 5

Step-by-step explanation:

x= - 5. it try You Tube

Answer:

x=50; 1 and 3 = 160°; 2 and 4 = 20°

Step-by-step explanation:

We know that:

m<1 = (3x+10);

m<2 = (x-30)

So:

(3x+10)+(3x+10)+(x-30)+(x-30) = 360°

---> x = 50

So:

1 and 3 = 160°; 2 and 4 = 20°

Answer:

The volume is 1436.8\(in^2\) .

Step-by-step explanation:

-To find the volume of a sphere, you need the formula:

\(V = \frac{4}{3} \pi r^3\)

-Use the radius for the formula:

\(V = \frac{4}{3} \pi 7^3\)

-Then, you solve:

\(V = \frac{4}{3} \pi 7^3\)

\(V = \frac{4}{3}\) × \(\pi\) × \(7^3\)

\(V = \frac{4}{3} \pi\) × \(343\)

\(V = \frac{1372}{3} \pi = 1436.755\)

-Round the answer to the nearest tenth:

\(V = 1436.8\)

So, therefore the volume is 1436.8\(in^2\) .

Answer:

The volume is 1436.8 .

Step-by-step explanation:

-To find the volume of a sphere, you need the formula:

-Use the radius for the formula:

-Then, you solve:

×  ×

×

-Round the answer to the nearest tenth:

So, therefore the volume is 1436.8

Answer:

The answer is x>7

Step-by-step explanation:

Hope this helps

Step-by-step explanation:

for the perimeter you have to say two brackets live plus height plus with plastic

Answer:

280 trees on a 1.5 acre plot

Step-by-step explanation:

It has more trees with less acres already without any calculations.

\( \frac{ {x}^{2} + 2x - 8 }{ {x}^{2} - 3x - 10 } \)

let the denominator x² - 3x - 10 is f(x),

• Setting this factor equal to 0,

→ x² - 3x - 10 = 0

• By using Middle term splitting method,

→ x² - 5x + 2x - 10 = 0

→ (x² - 5x) + (2x - 10) = 0

• Taking common,

→ x( x - 5 ) + 2( x - 5 ) = 0

→ ( x - 5 ) ( x + 2 ) = 0

• Again, setting these factors equal to 0,

( x - 5 ) = 0 and ( x + 2 ) = 0

→ x = 5 → x = -2

Hence, the values that would make the fraction undefined is x = 5,-2...

The values x = 5 and x = -2 would make the fraction undefined since they would result in a zero denominator.

To find the values that would make the fraction undefined, we need to identify any values of x that would make the denominator equal to zero.

The denominator of the fraction is (\(x^2 - 3x - 10\)). We need to solve the equation:

\(x^2 - 3x - 10 = 0\)

To factorize the quadratic equation, we look for two numbers that multiply to -10 and add up to -3. These numbers are -5 and 2:

(x - 5)(x + 2) = 0

Now, we can set each factor equal to zero and solve for x:

x - 5 = 0 => x = 5

x + 2 = 0 => x = -2

Therefore, the values x = 5 and x = -2 would make the fraction undefined since they would result in a zero denominator.

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0.615, 0.609, 0.516, 0.506

descending means from highest to lowest :)

Answer: B.  \(0 < a_2 < a_1\)

Explanation:

The coefficients tacked onto the trig functions tell us how vertically stretched the curves are. The dashed curve, representing \(y_1(t)\), is taller than the solid curve. Therefore \(a_1\) must be larger than \(a_2\)

For the sine curve, note how it is increasing after we pass through t = 0. This indicates we have \(a_1\) as a positive number. The value of \(a_2\) is positive because the point (0,k) on the cosine curve has k being positive.