Find the specified lengths and measures.
Given: △ABC ≅ △DEF
Find: AB and m∠F
A
B
C
4
6
30°
50°
D
E
F

Based on the numerical data, we can estimate that 26 more labor hours will be necessary to satisfy the labor hours required without overtime.

The Fair Labor Standards Act, enacted by the federal government, places a cap on the number of hours per week (40 hours) that businesses may demand their employees to perform in exchange for regular pay. Employers were now required to give employees who put in more than 40 hours of work additional compensation in the form of overtime pay.

Hence,

Overtime pay is usually 1.5 times the employee's regular hourly wage.

So, if an employee is paid $15 per hour, their overtime rate is $22.50 per hour ($15 multiplied by 1.5).

If another employee is paid $25 per hour, overtime is $37.50 per hour ($25 x 1.5).

It would require 26 more labor hours will be necessary to satisfy the labor hours required without overtime.

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The answer to option D) is yes. The likelihood of choosing a carnation at random from vase K is higher than the likelihood of choosing one at random from vase J.

The possibility is determined on the range of potential outcomes. the estimated number of outcomes that might occur. For instance, there is only one method to receive a head and there are a total of two possible outcomes, hence the chance of flipping the coin and receiving heads is 1 in 2. (a head or tail). We write P(heads) = 12 here.

Roughly simply, probability is the chance that everything will exist. When we wouldn't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes.

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Answer:

-2.5

Step-by-step explanation:

We can start by isolating h on one side of the equation:

4x + 5 = h(-2x + 5)

Divide both sides by -2x + 5:

(4x + 5) / (-2x + 5) = h

Now, since the equation has only one solution, the value of h must be well-defined for all values of x except those that would make the denominator equal to zero. This happens when -2x + 5 = 0, or when x = (5 - 5) / (-2) = -2.5.

So, the value of h cannot be determined when x = -2.5. This means that the value of h cannot be equal to -2.5.

The volume of the solid generated when r is rotated about the line y=4 is 512/15π

In math the term called volume in math is defined as a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.

Here we know that let r be the region bounded by the parabola y=x² and the line y=4.

Then the volume of the solid generated when r is rotated about the line y=4 is calculated by using the formula,

=> V = π ∫ᵇₐ [(h - f(x))]² dx

Here we have to apply the values on it, then we get,

=> V = π ∫₋₂² [(4 - x²)]² dx

By Using symmetry this can be written as,

=> V = 2π ∫₋₂² [16 - 8x² + x⁴] dx

When Solving the integral, then we get,

=> V = 2π (16x - 8/3x³ + 1/5x⁵)²₀

Here by Applying the fundamental theorem of calculus, then we get,

=> V = 2π (16(2) - 8/3(2)³ + 1/5(2)⁵) - 2π (16(0) - 8/3(0)³ + 1/5(0)⁵)

When we simplify this then we get

=> V = 512/15 π

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If the chi square value of a dihybrid analysis is 0.47 , and degree of freedom in analysis were 3 , then the null hypothesis will not be rejected because 0.47 < 7.815  .

To determine whether to reject or accept the Null Hypothesis, a critical value of chi-square with a given level of significance is used.

If the calculated chi-square value is greater than the critical value, then the null hypothesis is rejected. and

If the calculated chi-square value is less than or equal to the critical value, then the null hypothesis is not rejected.

The critical value of chi-square for a level of significance and degrees of freedom can be found using a chi-square distribution table.

With a level of significance of 0.05 and 3 degrees of freedom, the critical value of chi-square is 7.815.

that means ⇒ 0.47 < 7.815, the null hypothesis would not be rejected at a level of significance of 0.05    .

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Answer:

37.17

Step-by-step explanation:

I took the test

Answer: The circumference of the pizza is 37.7 inches.

Given data :

Diameter of the pizza = 12 inches

So,

Radius of the pizza = 12/2

= 6 inches

So,

Circumference of the pizza

= 2×π×radius

= 2×22/7×6

= 37.7 inches (answer)

Fewer than 15% of coins were quarters. Exactly 80% of the coins were nickels, dimes, and quarters. Nickels, dimes, and quarters account for 95% of the total number of coins.

Quarters are coins that are used in many countries as a form of currency. Quarters are generally made of metal and are round in shape. They are typically smaller than other coins, such as dimes and nickels, and have a value of 25 cents (or one-fourth of a dollar). Quarters are often used in everyday transactions, such as buying candy or a newspaper, or to pay for parking. In the United States, there are five different designs of quarters in circulation, each representing a different state or territory.

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The probability that it takes more than 3 customers who buy an eligible item to find one who purchased the extended warranty = 0.493

Here, 21% of customers purchase extended warranty.

So, the probability p = 0.21

It takes more than 3 customers who buy an eligible item to find one who purchased the extended warranty is nothing but none of the first three buy.

This means, we find probability P(X = 0) when n = 3.

Using Binomial distribution formula for probability,

P(X = 0) = ³C₀ (0.21)⁰ (1 - 0.21)⁽³ ⁻ ⁰⁾

P(X = 0) =  ³C₀ (0.21)⁰ (0.79)⁽³ ⁻ ⁰⁾

P(X = 0) = 0.493

Therefore, the required probability is 0.493

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The complete question is:

The transaction history at an electronic goods store indicates that 21 percent of customers purchase the extended warranty when they buy an eligible item. Suppose customers who buy eligible

items are chosen at random one at a time, until one is found who purchased the extended warranty. Let the random variable X represent the number of customers it takes to find one who

purchased the extended warranty. Assume customers' decisions on whether to purchase the extended warranty are independentWhich of the following is closest to the probability that X > 3;

that is, the probability that it takes more than 3 customers who buy an eligible item to find one who purchased the extended warranty?

Answer:

Total decrease as a percentage 12.4%

Step-by-step explanation:

Please find the attachment for detail

Answer:

Step-by-step explanation:

13,18,23 are in arithmetic progression

The formula for the nth term of an AP is, Tn = a + (n - 1)d, where: 'a' is the first term of the AP and; 'd' is the common difference of the AP.

here a=13, d=18-13=5

Tn = a + (n - 1)d = 13+(n-1)5 = 13+5n-5 = 5n+8

Tn = 5n+8

Answer:

Step-by-step explanation:

=63

The measure of arc ADC in circle B with the measure of minor arc AC= 126° is 234°.

Given that the measure of minor arc AC = 126°, we can find the measure of arc ADC using the following formula:

m/ADC = 360° - m/AC

Plugging in the values, we get:

m/ADC = 360° - 126° = 234°

Therefore, the measure of arc ADC is 234°.

Here is the explanation:

A minor arc is an arc that is less than 180°.

The measure of a minor arc is equal to the measure of the central angle that intersects it.

The measure of a whole circle is 360°.

Therefore, the measure of arc ADC is equal to the difference between the measure of the whole circle and the measure of minor arc AC. This difference is 360° - 126° = 234°.

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1) The proof that ΔFEH ≅ΔFGH is given as follows:

ΔFH bisects ∠EFG (Given)

∠FEH ≅ ∠ FGH.

FH = HF (Given)

∠EFH ≅ ∠FHG (Angle Bisector Theorem)

Thus, ΔFEH ≅ΔFGH  (Angle  - Side - Angle Theorem)

2) The proof that ΔPQR ≅ ΔTSR is:

∠RPQ ≅ ∠RTS - Given

R is the midpoint of QS - Given the Definition of Midpoint

QR ≅ RS -  Definition of Midpoint

∠PRQ ≅ ∠SRT Vertical Angles

Thus: ΔPQR ≅ ΔTSR - Angle - Angle - Side Theorem.

3) the proof that ΔABC ≅ Δ DCB is given as follows:
ΔABC and ΔDCB are Right Angled Triangles

AB ≅ DC - Given

BC ≅CB - Reflective Properties; thus

ΔABC ≅ ΔDCB - Hypothenus Leg Theorem.

According to the hypotenuse-leg (HL) theorem, if the hypotenuse and a leg of a right triangle are both congruent with the corresponding hypotenuse and leg of another right triangle, the triangles are congruent. According to the HL theorem, these triangles are congruent.

There is one exception to this rule: when the angles are straight angles. Using words: The triangles are congruent if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle.

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Answer:

B. 34 1/5

Step-by-step explanation:

have a good day!

The correct equation of the circle is the first option which is

(x - 5)² + (y + 2)² = 9

What is a circle?

A circle is a collection of all points in a plane that is uniformly distanced from a fixed point. The fixed point is referred to as the circle's centre. The radius of a circle is the separation between the centre and any point along its circumference.

The general equation of the circle is

(x-h)² + (y-k)² = r²

where r = radius of the circle

          (h,k) = centre of the circle

Given,

      radius r = 3

    centre = (h,k) =  (5,-2)

According to the above equation,

(x-5)² + (y-(-2))² = 3²

(x-5)² + (y+2)² = 9

Therefore the correct equation of the circle is the first option.

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I found the answer with the ruluer it's 11.3

The 15th term of the geometric progression is a₁₅ = 25/2048

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the 15th term of the geometric progression be a₁₅

Now , the 4th term of the GP is a₄ = -25

The 9th term of the GP is a₉ = 25/32

Now , nth term of a GP is aₙ = arⁿ⁻¹

Substituting the values in the equation , we get

a₄ = ar³ = -25   be equation (1)

a₉ = ar⁸ = 25/32   be equation (2)

Divide equation (2) by equation (1) , we get

r⁵ = -( 1/32 )

r⁵ = - ( 1/2 )⁵

So , the common ratio r = -1/2

Now , the first term of the GP a is calculated by

ar³ = -25

when r = -1/2

a ( -1/2 )³ = -25

a/8 = 25

a = 200

Now , the 15th term of the geometric progression a₁₅ = ar¹⁴

Substituting the values in the equation , we get

a₁₅ = 200 ( -1/2 )¹⁴

a₁₅ = 200/16,384

a₁₅ = 25/2048

Hence , the 15th term of the GP is 25/2048

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The system of linear equations for the given graph is: y = 1/2x + 6;  y = -3x - 1

The graph of a linear equation follows a slope-intercept form y= mx + b, where m is the slope and b is the y-intercept. We can determine the graph of a linear equation by merely looking at the graph and finding two points on the graph from which the slope of the graph can be determined the represent it as a linear equation.

The linear equation can now be converted to a standard form to determine the system of the linear equation.

From the graph.

The first upper graph to the right shows the point (-2, 5) and (0,6)

The second graph to the left shows the point (-2, 5) and (0,-1)

The slope of the first graph = (6  - 5 )/(0--2) = 1/2; The y-intercept = 6

In slope-intercept form, we have:

y = 1/2x + 6 ----- (1)

The slope of the second graph = (-1 - 5)/(0--2) = -6/2 = -3

The y-intercept = -1

In slope-intercept form: y = -3x - 1   ------- (2)

y = 1/2x + 6

y = -3x - 1

Therefore, we can conclude that the system of linear equations for the given graph is: y = 1/2x + 6;  y = -3x - 1

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Salut/Hello!

Answer: a) £244 ; b) £17

Step-by-step explanation:
First we need to know the cost of one apple.
27.30 : 78 = £0.35

a) [I'm going to assume you meant 698 apples here]
£0.35 x 698 = £244.3 with the approximate of £244

b) £0.35 x 49 = £17.15 with the approximate of £17

I hope it was helpful! :]

The percentage of a circle's circumference is 18.17%.

We have,

To determine the percentage of a circle's circumference cut off by an angle, we need to calculate the fraction of the total circumference represented by the given angle and then convert it to a percentage.

The total circumference of a circle is 360 degrees or 2π radians.

First, we convert the angle measure of 31.9 degrees to radians:

31.9 degrees = 31.9 x (π/180) radians

Next, we add the given angle measure of 1.5 radians to the converted value:

31.9 x (π/180) + 1.5 radians

To calculate the fraction of the circumference, we divide the sum of the angles by the total angle of a circle (2π radians):

(31.9 x (π/180) + 1.5) / (2π)

To express it as a percentage, we multiply the fraction by 100:

[(31.9 x (π/180) + 1.5) / (2π)] x 100

Evaluating this expression will give us the final value, which represents the percentage of a circle's circumference cut off by the given angle.

Performing the calculations:

[(31.9 x (π/180) + 1.5) / (2π)] x 100 ≈ 18.17%

Therefore,

The percentage of a circle's circumference is 18.17%.

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An angle with a measure of 31.9 degrees plus 1.5 radians cuts off approximately 23.3% of a circle's circumference.

To determine the percentage of a circle's circumference cut off by an angle, we need to find the ratio of the angle's measure to the total angle of a circle (360 degrees or 2π radians) and then multiply it by 100 to express it as a percentage.

First, let's convert the angle measure of 31.9 degrees to radians:

1 degree = π/180 radians

So, 31.9 degrees = (31.9 × π) / 180 radians

Now, let's add the angle in radians to the converted value:

31.9 degrees + 1.5 radians = (31.9 × π) / 180 + 1.5 radians

Next, we calculate the ratio of the angle to the total angle of a circle:

Angle ratio = (31.9 × π) / 180 + 1.5 radians / 2π radians

Finally, we multiply the ratio by 100 to obtain the percentage:

Percentage = Angle ratio × 100

Let's calculate it:

Angle ratio = ((31.9 × π) / 180 + 1.5) / (2π) ≈ 0.233

Percentage = 0.233 × 100 ≈ 23.3%

Therefore, an angle with a measure of 31.9 degrees plus 1.5 radians cuts off approximately 23.3% of a circle's circumference.

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Answer: -4

Step-by-step explanation:Since subtracting a negative number is the same as adding a positive number, -12 - (-8) can be rewritten as -12 +8. Counting 8 up from negative 12 leaves us with negative 4.

The sample space of rolling a six-faced dice is {1, 2, 3, 4, 5, 6}.

The sample space of an experiment is the set of all possible outcomes of the experiment. In the experiment of rolling a six-faced dice, the sample space is the set of all possible values that the dice can show when it is rolled.

Since a dice has six faces, each with a distinct number (1, 2, 3, 4, 5, or 6), the sample space of the experiment of rolling a six-faced dice is {1, 2, 3, 4, 5, 6}. This means that any time the dice is rolled, it can only show one of these six values.

It's important to note that the sample space is a finite set, as there are only a limited number of possible outcomes. In this case, the sample space contains only six elements, each representing one of the faces of the dice that can show up when it is rolled.

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Answer:

No, it would not fit because one cup is 8 ounces and if you times 8 and 13 it 104 so it would not fit they would need another container.

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

2x-3

x=2

In linear equation, $54.3  is  the original price of the jumper.

Which equation is linear equation ?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                        Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

17% of 319.41

17/100 * 319.41

= 54.2997

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The critical values for a decision rule at a level of significance of 0.10 (i.e., a 10% significance level) depend on the type of hypothesis test you are conducting and the specific distribution you are using.

The decision criteria is based on certain test statistic results (for example, reject H0 if Z > 1.645). A given test's decision rule is determined by three factors: the research or alternative hypothesis, the test statistic, and the degree of significance.

A crucial value is the value of the test statistic that establishes the upper and lower boundaries of a confidence interval or the statistical significance threshold in a statistical test.

Critical values for a hypothesis test are determined by a test statistic that is particular to the type of test and the significance level, alpha, which specifies the test's sensitivity.

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Answer:

it will take 6 minutes, just keep adding 1.4 to -8.4 until you reach 0

Step-by-step explanation:

Answer: It will take 6 minutes because all you need is to divide 8.4 and 1.4 (don't put the negative sign or ignore it)!

The value of the equation a = (1/4)×b in terms of a is b = 4a.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression a = (1/4)×b.

Now, Making 'b' the subject is the same as solving for 'b'.

We know when a term is multiplied by another term moving it to the other side we have to take its reciprocal.

Therefore,  a = (1/4)×b.

b = a×(4/1).

b = 4a.

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Answer:

Step-by-step explanation:

Answer:

1200

Step-by-step explanation:

4% of 2000 is 80 then do 80*15 and you get 1200