I need help on both plz with explanations I’m currently stuck

Answer:

3n - 7

Hope this helps!

The correct pair is option E, which is:

FH ≅ FH - reflexive property

ΔGFH ≅ ΔEFH - SAS theorem

The SAS theorems states that two triangles are congruent if they have two pairs of congruent sides and a pair of congruent included angles.

The reflexive property of geometry states that an angle or line will always be congruent to itself.

In the two column-proof, since FH = FH using the reflexive property, then both triangles are congruent to each other by the SAS congruence theorem.

The missing pair of reasons that completes the proof are:

FH ≅ FH - reflexive property

ΔGFH ≅ ΔEFH - SAS theorem

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\(\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=6\\ \theta =\frac{\pi }{3} \end{cases}\implies s=6\cdot \cfrac{\pi }{3}\implies s=2\pi \implies s\approx 6.3\)

Because a 270° rotation around the origin and a subsequent reflection over the x-axis translate ABC onto LMN, the figures are congruent.

Two figures are said to be "congruent" if they can be positioned perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to things that are exactly the same size and form. Congruent refers to something that is "absolutely equal" in terms of size and form. The shapes hold true regardless of how we rotate, flip, or turn them. Draw two circles with the same radius, for instance, cut them out, then stack them on top of one another. In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

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The statement "something is said to be statistically significant if it is not likely to happen by chance" is true.

Statistical significance is a measure used to determine the strength of evidence against the null hypothesis.

The null hypothesis states that there is no relationship or effect between two variables, and it is tested against the alternative hypothesis, which proposes that there is a relationship or effect.

To determine statistical significance, researchers use a p-value, which represents the probability that the observed results occurred by chance alone.

A lower p-value indicates stronger evidence against the null hypothesis. A common threshold for statistical significance is a p-value less than 0.05, meaning that there is less than a 5% chance that the observed results happened by chance alone.

If the p-value is less than the predetermined threshold (e.g., 0.05), the results are considered statistically significant, and the null hypothesis is rejected in favor of the alternative hypothesis.

This means that the observed relationship or effect is likely not due to chance and has practical significance in the real world.

In summary, when something is statistically significant, it indicates that the results are unlikely to be a result of chance alone, providing evidence for a true relationship or effect between the variables being studied.

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Recursive functions are functions whose execution is called from within itself

A condition is used to stop or continue another recursive step

As implied earlier, the execution of a recursive function is from within the function itself.

This means that the recursive function will continue its execution, until a condition is met.

This condition is used to determine the execution or the termination of the recursive process

Hence, a condition is used to stop or continue another recursive step

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Answer:x − x^{2} − 1.

Step-by-step explanation:

.

The surface area of the paraboloid z = 1 - x^2 - y^2 that lies above the plane z = -4 is 3π√5 square units.

The paraboloid z = 1 - x^2 - y^2 lies above the plane z = -4. To find the surface area of this paraboloid, we need to calculate the area of its intersection with the plane z = -4 and subtract it from the total surface area of the paraboloid.

To find the intersection, we set z = -4 and solve for x and y:

-4 = 1 - x^2 - y^2

x^2 + y^2 = 5

This is the equation of a circle with radius √5 centered at the origin. The area of this circle is π(√5)^2 = 5π.

To find the total surface area of the paraboloid, we use the formula for the surface area of a surface of revolution:

S = 2π∫a^b f(x)√(1 + (f'(x))^2) dx

In this case, we want to revolve the curve z = 1 - x^2 - y^2 around the z-axis. Solving for y in terms of x and z, we get:

y = ±\(\sqrt(1 - x^2 - z)\)

We can now use this formula to calculate f(x):

f(x) = 2sqrt(1 - x^2 + 4)

f'(x) = (-2x) / sqrt(1 - x^2 + 4)

Substituting these into the formula for surface area, we get:

S = 2π∫-√5^√5 2*\(\sqrt(1 - x^2 + 4) / \sqrt(1 - x^2 + 4) dx\)

Simplifying, we get:

S = 4π∫-√5^√5 dx

S = 8π√5

Subtracting the area of the intersection with the plane, we get:

S = 8π√5 - 5π

S = 3π√5

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Answer:

B

Step-by-step explanation:

M is a factor of N and \((1+r)^t\), which is not influenced by N. This is because N is just the initial amount of people, and does not change no matter the rate of new members. Hope this helps!

True when desired information of Census is available for all objects in the population

A census is a study that collects data from every member of a population, making it the most comprehensive form of data collection.

A census can provide highly accurate information on the entire population, without any risk of sampling error.

However, conducting a census can be time-consuming and costly, especially for large populations, and may not always be practical or feasible. In some cases, a sample study may be a more practical approach, as it can provide accurate information with less time and cost.

However, it's important to carefully consider the sampling design to ensure that the sample is representative of the population, in order to minimize sampling bias.

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An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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1.960 full square would be needed to get a margin of error half as large as the margin of error for a sample of 1041 adults.

The number of individuals or observations included in a study is referred to as the sample size. Usually, n is used to indicate this number.

Calculating the sample size is essential in order to identify any therapy effects that are clinically significant. In the majority of quantitative investigations, calculating the necessary sample size prior to the study is justified.

It is supplied to us since the ample size in these cases is 1041 and the confidence level is equivalent to 697. The degree of confidence is unchanged. Point estimate p will be equal to 0.6695 by 1041 and is equal to x by n. The q hat is equal to 0.230 pie, which is 1 minus the p hat. Now that we have all the numbers, we can calculate alphatwo by taking 1 minus alpha and multiplying it by 0.95 to get alcaytwo, which will equal 0.025 at a 95% confidence level. We must locate Z since it will equal 1.960 when alpha is divided by 2.Given that z alpha is equal to 2, the margin of error is determined using the conventional norman table. The error margin is 2 percent. He will be equivalent to 0.0286 when the numbers 1.960, 0.6695, and 0.3305 are divided by 1041. The range of error is as follows. We must determine m such that it divides alpha by two complete squares. If we divide the value by 0.0286 and add the numbers that make up the 1.960 full square, we will have a value that is about equal to the point.

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Let's solve for x

9(2x+1) < 9x - 18

18x+9 < 9x-18

18x-9x < -18-9

9x < -27

x < -27/9

x < -3

Any value smaller than -3 is in the solution set

That means we have {-4, -5, -6, ...} as our solution set if x was only allowed to be an integer.

We can rule out choices B through D because of this. Only choice A remains, which I'm assuming you meant to say -4 instead of simply 4. If choice A says -4, then this is the answer.

If it doesn't say -4, then that isn't the answer and none of the answer choices work.

Note: if your original inequality is \(9(2x+1) \le 9x-18\) then it solves to \(x \le -3\) allowing x = -3 to be part of the solution set now. If you have an "or equal to" then that means B) -3 is the answer.

It seems like there might be a typo somewhere so I would double check.

If the yearly cost for the dental claims are normally distributed , then the yearly cost at which 35% of the employee fall at or below is $91.35  .

In the question ,

it is given that ,

the yearly cost for the dental claims are normally distributed ;

and the mean (μ) is 105 , standard deviation(σ) is 35 .

we know that the z value that corresponds to 35th percentile from standard normal table is : z = -0.385  ;

let the yearly cost be "x" ;

the yearly cost can be calculated using the formula ;

x = z×(σ) + μ

x = (-0.385)×35 + 105

Simplifying further ,

we get ;

x = 91.525

x ≈ 91.53

Therefore , the correct option is (d) 91.53  .

The given question is incomplete , the complete question is

The yearly cost of dental claims for the employees of the local shoe manufacturing company is normally distributed with a mean of $105 and a standard deviation of $35. what is the yearly cost at which 35% of the employees fall at or below is ?

(a) $118.48

(b) $127.29

(c) $82.71

(d) $91.53

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Answer:

(a^2+2)(a+2)

Step-by-step explanation:

Factor a^3+2a+2a^2+4.

Using Factoring by grouping

a^3+2a   +    2a^2+4

Factor out a from the first two terms and 2 from the last two terms.

a( a^2 +2) + 2 ( a^2+2)

Factoring out a^2+2.

(a^2+2)(a+2)

Answer:

Range at the start of the school year = 12 - 7 = 5

Range at the end of the school year = 12 - 8 = 4

Step-by-step explanation:

Hope this helps!

Answer:

12 - 7 = 5

12 - 8 = 4

Answer:

y=19.6

Step-by-step explanation:

Answer:

to get y you subtract 12.4 from both side and that is your answer.

Step-by-step explanation:

19.6 hope it correct mark brainliest if so thank u have an nice day

Answer:

Bob can cut 6 pieces

Explanation:

Since he decided to cut pieces that are 1/8 inches long, divide.

> 3/4 ÷ 1/8

To get the answer which is 6

5x-5y=4x+18

move 5y and 4x and 18

5x-4x-18=5y

x-18=5y

y=1/5x-18/5

Answer:

  9

Step-by-step explanation:

The time required by the ambulance is ...

  time = distance/speed

  time = (20 mi)/(40 mi/h) = 1/2 h = 30 minutes

The time required by the helicopter is ...

  trip time = takeoff time + route time + landing time

  = (3 min) + (15 mi)/(1 mi/min) +(3 min) = (3 + 15 + 3) min = 21 min

The difference in times is ...

  (30 min) -(21 min) = 9 min

The helicopter takes 9 fewer minutes for the trip.

Answer:  (4^2 + 2)*3 = 54

Explanation:

These types of problems are unfortunately only done through trial and error. There may be clever ways to tackle some problems, but this one I'm blanking on any other method.

The portion 4^2+2 simplifies to 16+2 = 18. Then note how 18*3 = 54. We do the 4^2+2 first because its in parenthesis. Refer to PEMDAS.

Answer:

1 - 1 = 0

1 + 1 = 2

Step-by-step explanation:

:)

Answer:

1-1=0 1+1=2

hope this helps

have a good day :)

Step-by-step explanation:

The correct answer is (C) Yes, because the probability of observing a difference at least as large as the sample difference, if the two population proportions are the same, is less than 0.05.To determine if there is convincing statistical evidence of a difference between the two groups of residents in their opposition to the banning of trans fats, we can conduct a hypothesis test for the difference in population proportions.

The null hypothesis (H0) states that there is no difference between the two population proportions, while the alternative hypothesis (Ha) states that there is a difference.

To conduct the test, we calculate the sample proportions of opposition to the banning of trans fats in each group. In the group with school-age children, the sample proportion is 94/230 = 0.409, and in the group without school-age children, the sample proportion is 147/341 = 0.431.

Next, we calculate the standard error of the difference between the sample proportions using the formula:

SE = sqrt[(p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)]

where p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes.

After calculating the standard error, we calculate the test statistic, which follows an approximately normal distribution when the sample sizes are large. The test statistic is given by:

test statistic = (p1 - p2) / SE

Using a significance level of 0.05, we compare the test statistic to the critical value from the standard normal distribution.

If the test statistic falls outside the critical region, we reject the null hypothesis and conclude that there is convincing statistical evidence of a difference between the two population proportions. Otherwise, we fail to reject the null hypothesis.

In this case, the correct answer is (C) Yes, because the probability of observing a difference at least as large as the sample difference, if the two population proportions are the same, is less than 0.05.

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The compound inequality for which there is no solution is 3m + 12 > 33 and -4m ≥ 32.

What is an inequality?

Let's solve each compound inequality separately:

-2m - 12 < -24 ⇒ -2m < -12

⇒ m > 6

7m + 8 > 22 ⇒ 7m > 14

⇒ m > 2

The solution set for the first inequality is m > 6, and the solution set for the second inequality is m > 2. To satisfy both inequalities, m must be greater than both 6 and 2, so the solution set is m > 6. Therefore, there is a solution for the first compound inequality.

3m + 12 > 33 ⇒ 3m > 21

⇒ m > 7

-4m ≥ 32 ⇒ m ≤ -8

The solution set for the first inequality is m > 7, and the solution set for the second inequality is m ≤ -8. There is no number that satisfies both inequalities, so there is no solution for this compound inequality.

5m > 15 ⇒ m > 3

-6m < 18 ⇒ m > -3

The solution set for the first inequality is m > 3, and the solution set for the second inequality is m < -3. There is no number that satisfies both inequalities, so there is no solution for this compound inequality.

-3m ≥ 12 ⇒ m ≤ -4

m - 6 < 3 ⇒ m < 9

The solution set for the first inequality is m ≤ -4, and the solution set for the second inequality is m < 9. The only number that satisfies both inequalities is m ≤ -4, so there is a solution for this compound inequality.

Therefore, the compound inequality for which there is no solution is 3m + 12 > 33 and -4m ≥ 32.

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Answer:

i dont understand the question

Step-by-step explanation:

For a particle in a one-dimensional box, the probability of finding the particle within a certain region can be calculated using the wave function and the probability density function.

The wave function for the lowest-energy level (ground state) in a one-dimensional box is given by:

ψ(x) = √(2/L) * sin(πx/L)

where L is the length of the box.

To find the probability of finding the particle within a region, we need to integrate the squared modulus of the wave function over that region.

Let's calculate the probability of finding the particle within 0.01 nm of the center of the box for a box of length 1 nm:

Length of the box (L) = 1 nm

Region of interest (x within 0.01 nm of the center) = [-0.005 nm, 0.005 nm]

Probability = ∫[-0.005, 0.005] |ψ(x)|^2 dx

Substituting the wave function, we have:

Probability = ∫[-0.005, 0.005] |√(2/L) * sin(πx/L)|^2 dx

           = ∫[-0.005, 0.005] (2/L) * sin^2(πx/L) dx

Evaluating this integral will give us the probability of finding the particle within the specified region.

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Answer:

The correct option is;

An isosceles triangle

Step-by-step explanation:

The parameters given are;

Line segments XY and ZY are tangents to circle O.

ΔXYZ has points X and Z on the circle.

XY and ZY are tangents that intersect at point Y outside the circle'

Therefore, given the circle has center O, then;

OY ≅ OZ = Radius of circle with center O

∠OXY ≅ ∠OZY = 90°  (The radius line from the circle center to the tangent point is perpendicular)

OY ≅ OY (Reflexive property)

ΔOYX and ΔOYZ are right triangles (Triangle with one angle = 90°

ΔOYX ≅ ΔOYZ (Hypotenuse Leg, HL, rule of congruency)

Therefore;

XY = ZY (Corresponding Parts of Congruent Triangles are Congruent CPCTC)

Triangle XYZ is an isosceles triangle (Triangle with two equal sides).

Answer:

B. an isosceles triangle

Step-by-step explanation:

The height of the aquarium is h = 18 3/4 yd

The formula for calculating the volume of a rectangular box is expressed as

V = lwh

where

l is the length

w is the width

h is the height

Substitute

350 = 20/3 * 14/5 * h

350 = 280/15h

35 = 28/15h

28h = 35 * 15

28h = 525

h = 525/28

h = 18 3/4 yd

Hence the height of the aquarium is h = 18 3/4 yd

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Answer:

140 DEGREES

Step-by-step explanation:

160-20=140