Find the value of x. Then find the measure of each labeled angle.

Subtract 12 from both sides

5 - 12 = k/4

Simplify 5 - 12 to -7

-7 = k/4

Multiply both sides by 4

-7 * 4 = k

Simplify -7 * 4 to -28

-28 = k

Switch sides

k = -28

Answer:

hello some parts of your question is missing attached below is the missing part

answer: the sum Given it can seen that according to the closure property of Rational numbers  the addition of two rational numbers will sum up to a rational number provided that the rational numbers ≠ 0 and a set of rational number is closed under the closures property rule i.e x + y = y + x

Step-by-step explanation:

using the closure property and based on the sum given :

From the sum Given it can seen that according to the closure property of Rational numbers  the addition of two rational numbers will sum up to a rational number provided that the rational numbers ≠ 0 and a set of rational number is closed under the closures property rule i.e x + y = y + x

I've seen a few comments about the answer so the answer the person above me answered is:

"The sum given can seen according to the closure property of rational numbers. The addition of two rational numbers will sum up to a rational number, provided that the rational numbers are ≠ 0 and a set of rational number is closed under the closures property rule, in other words: x + y = y + x."

Answer:

$642

Step-by-step explanation:

To calculate sales tax, you multiply the percentage by the price. In this case it would be 600 x 0.07 which is 42. Then you add them together which would be 600 plus 42 which equals 642.

Answer:

I think the fourth one and what is going on with it being upside down lol??????????????

Step-by-step explanation:

lmk if I helped but if I did not I will give ur points back:).

Step-by-step explanation:

First, we need to find out the total number of people who will be attending the party.

There are 23 guests, plus 7 family members, so there are 23 + 7 = 30 people attending.

Each person will get 2 cupcakes, so:

30 * 2 = 60 cupcakes

Therefore, Mom likely needs to make 60 cupcakes.

60

Step-by-step explanation:

first 23+7=30

each needs=2

so take 30×2=60

In the given diagram of circle O, we need to find various measurements. Let's consider the following measurements:

Diameter (d): The diameter of a circle is the distance across it, passing through the center. To find the diameter, we can measure the distance between any two points on the circle that pass through the center. Let's say we measure it as 12 units.

Radius (r): The radius of a circle is the distance from the center to any point on the circumference. It is half the length of the diameter. In this case, the radius would be 6 units (12 divided by 2).

Circumference (C): The circumference of a circle is the distance around it. It can be found using the formula C = 2πr, where π is approximately 3.14 and r is the radius. Using the radius of 6 units, we can calculate the circumference as C = 2 * 3.14 * 6 = 37.68 units. Rounding to the nearest whole number, the circumference is approximately 38 units.

Area (A): The area of a circle is the measure of the surface enclosed by it. It can be calculated using the formula A = πr^2. Substituting the radius of 6 units, we can find the area as A = 3.14 * 6^2 = 113.04 square units. Rounding to the nearest whole number, the area is approximately 113 square units.

In summary, for circle O, the diameter is 12 units, the radius is 6 units, the circumference is approximately 38 units, and the area is approximately 113 square units.

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Thus, the percentage of the 2,000 paitents that had blood-clotting times between 5 and 11 seconds is  68.27% = 69%.

The majority of data points in a continuous probability distribution called a "normal distribution" cluster around the range's middle point, while the ones that remain taper symmetrically towards either extreme. The distribution's mean is another name for the centre of the range.

Given data:

Then,

percent p (5 < x < 11 ) = z [(5 - μ) /σ  < x < (11 - μ )/ σ]

p (5 < x < 11 ) = z [(5 - 8) /3  < x < (11 - 8 )/ 3]

p (5 < x < 11 ) = z [-1  < x < 1]

p (5 < x < 11 ) = z [0.8413 - 0.1586]

p (5 < x < 11 ) = 0.6827

p (5 < x < 11 ) = 68.27%

Thus, the  percentage of the 2,000 paitents that had blood-clotting times between 5 and 11 seconds is  68.27% = 69%.

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The given system of differential equations is:

y1' = y1 + 3y2

y2' = 3y1 + y2

We need to verify that the functions:

y1(t) = c1e^(ut) + c2e^(-2t)

y2(t) = c1ue^(ut) - c2e^(-2t)

satisfy the system. In part (a), we find the value of each term in the equation y1' = y1 + 3y2 in terms of the variable f. In part (b), we find the value of each term in the equation y2' = 3y1 + y2 in terms of the variable f.

(a) To find the value of each term in y1' = y1 + 3y2, we differentiate y1(t) with respect to t. The derivative of c1e^(ut) is c1ue^(ut), and the derivative of c2e^(-2t) is -2c2e^(-2t). Thus, we have:

y1' = c1ue^(ut) - 2c2e^(-2t) + 3(c1ue^(ut) - c2e^(-2t))

Combining like terms, we get:

y1' = (2c1u + 3c1u)e^(ut) + (-2c2 - 3c2)e^(-2t)

(b) Similarly, we differentiate y2(t) with respect to t. The derivative of c1ue^(ut) is c1u^2e^(ut), and the derivative of c2e^(-2t) is -2c2e^(-2t). Thus, we have:

y2' = c1u^2e^(ut) - 2c2e^(-2t) + 3(c1e^(ut) + c2e^(-2t))

Combining like terms, we get:

y2' = (c1u^2 + 3c1)e^(ut) + (-2c2 + 3c2)e^(-2t)

Therefore, the value of each term in y1' = y1 + 3y2 is given by:

Term 1: (2c1u + 3c1)e^(ut)

Term 2: (-2c2 - 3c2)e^(-2t)

And the value of each term in y2' = 3y1 + y2 is given by:

Term 1: (c1u^2 + 3c1)e^(ut)

Term 2: (-2c2 + 3c2)e^(-2t)

These results verify that the functions y1(t) and y2(t) satisfy the given system of differential equations.

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Londell needs to deliver newspapers for 24 weeks to have enough money to buy the bicycle.

Londell currently has $40 saved, and he needs a total of $400 to buy the bicycle. Each week, he earns $15 delivering newspapers.

To calculate the number of weeks Londell needs to work, we can set up an equation:

$40 (current savings) + $15 (weekly earnings) × (number of weeks) = $400 (total cost of the bicycle)

Simplifying the equation:

$40 + $15 = $400

Subtracting $40 from both sides of the equation:

$15 = $400 - $40

$15 = $360

Dividing both sides of the equation by $15:

= $360 / $15

≈ 24

Therefore, Londell will have to deliver newspapers for approximately 24 weeks to have enough money to buy the bicycle.

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The athlete that has the shortest training ride is athlete A.

The athlete that has the shorter range is Athlete B.

The athlete that has the greater median is Athlete B.

The athlete that has the greater IQR is  athlete A.

A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines and a box. the two lines are known as whiskers. The first whisker represents the minimum number and the second whisker represents the maximum number. The difference between the whiskers is known as range.

Range of Athlete A = 36 - 13 = 13

Range of Athlete B = 30 - 19 = 11

Training ride of  Athlete A = 16

Training ride of  Athlete B = 21

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.

Median of  Athlete A = 20

Median of  Athlete B = 25

IQR of  Athlete A = 30 - 16 = 14

IQR of  Athlete B = 28 - 21 = 7

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Answer:

distance = 8.35 inch

Step-by-step explanation:

here's your solution

=> scale is , 1 inch = 20 feet

=> distance between room in feet = 167 feet

=> so, distance in inch = 167/20

=> distance = 8.35 inch

hope it helps

Answer:

A number of tourists were interviewed on their choice of means of travel. Two- thirds said that they travelled by road, 1330 by air and 415 by both air and road. If 20 tourists did not travel by either air or road ; (i) represent the information on a Venn diagram ; (ii) how many tourists (1) were interviewed ; (2) travelled by air only?

The points where the graphics touch the coordinate axes are known as the function intercepts.

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Therefore, the probable error of a single measurement is 0.138 meters, while the probable error of the mean is 0.109 meters.

Given the following values that were determined in a series of tape measurements of a line:920.58, 920.40+920.38+920.48+920.40+920.46 meters, we are to determine the probable error of a single measurement and probable error of the mean.

Probable error of a single measurement

This can be gotten by using the formula:

Probable error of a single measurement= 0.6745 x (range of series)/√n

Range = Largest Value - Smallest Value

= 920.58 - 920.38

= 0.20m (to 2 decimal places)And n = 6

Probable error of a single measurement= 0.6745 x 0.20/√6≈ 0.138m (Answer to 3 decimal places)

Probable error of the mean

This can be gotten by using the formula:

Probable error of the mean = 0.6745 x (range of mean series)/√n

Mean of the series = (920.40+920.38+920.48+920.40+920.46)/6

= 920.44m (to 2 decimal places)And n = 6

Also, Range of the mean series = Largest mean value - Smallest mean value

= 920.48 - 920.38

= 0.10m (to 2 decimal places)

Probable error of the mean = 0.6745 x 0.10/√6≈ 0.109m (Answer to 3 decimal places)

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Answer:

Step-by-step explanation:

800 J/kgC

What is the specific heat of a material that gains 600 joules of energy when a 0.25 kg object increases in temperature by 3C?

it is 800 J/kgC

Answer:

Part A:

(0.20)(10) = (0.05)(x) + (0.40)(10 - x)

Part B:

5.7 litres of 5% and 4.3 litres of 40%

Step-by-step explanation:

Let's assume she will stick with 10 litres in total for her mixture. (Maybe that's the size of her container.)

Let the volume of 5% by x litres.

Therefore the volume of 40% will equal 10 - x.

Reason: 10 litres total, if we use 2 litres of the one, we'll use 8 litres of the other. Get it?

Moving along...

So:

(0.20)(10) = (0.05)(x) + (0.40)(10 - x)

Now we solve the equation...

2 = 0.05x + 4 - 0.4x

2 - 4 = - 0.35x

-2 = -0.35x

let's multiply both sides by 100 to get rid of the decimal

-200 = -35x

x = 200/35

x = 5.7 litres (volume of 5% solution needed)

volume of 40% = 10 - 5.7 = 4.3 litres

Answer:

$0.5

Step-by-step explanation:

10*0.05 = 0.5 dollars

Answer:

.50

Step-by-step explanation:

Selling price x sales tax rate = sales tax

10 x .05 (5%) = .50

Answer:

It's labeled as -7.

Answer:

-7

Step-by-step explanation:

the answer is negative 7

The power of a statistical test of hypotheses is the probability that the test will reject the null hypothesis when a particular alternative value of the parameter is true.

It is the ability of the statistical test to detect a true difference between groups, or a true relationship between variables, when it exists. A high power indicates that the test has a low probability of making a type II error (failing to reject a false null hypothesis).

The power of a test is affected by various factors such as the sample size, level of significance, effect size, and variability of the data.

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It is not equal to 1 - (P-value), nor is it the smallest significance level at which the data will allow you to reject the null hypothesis or the probability that the test will reject both one-sided and two-sided hypotheses.

The correct answer is: The power of a statistical test of hypotheses is the probability that a significance test will reject the null hypothesis when a particular alternative value of the parameter is true. It is the ability of the test to detect a true difference or effect between two groups or conditions. The power is influenced by factors such as the sample size, effect size, and significance level, and is usually calculated before conducting a study to ensure that it has sufficient power to detect meaningful differences. It is not equal to 1 - (P-value), nor is it the smallest significance level at which the data will allow you to reject the null hypothesis or the probability that the test will reject both one-sided and two-sided hypotheses.

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From the statement, we know that:

• ABCD is a rhombus,

• we have the triangles ΔADC and ΔABC,

• the triangles share the side AC.

We must prove that the triangles are congruent.

In a rhombus all the 4 sides are equal, so we have:

• AC = AC,

• AD = BC,

• AB = DC.

Therefore, we have two triangles with equal sides that share the side AC. From SSS we know that the triangles are congruent.

We have two triangles with equal sides that share the side AC. From SSS we know that the triangles are congruent.

Answer:

3/10

Step-by-step explanation:

Decimals and fractions are similar 4/5 is 0.8 and 1/2 is 0.5 The F has to be 0.3 to make a 4/5. 0.3 in fraction is 3/10

Answer:

Mean = цр = 0.27

Step-by-step explanation:

Note: The full question is attached as picture below

Given that,  p = 27 = 0.27  and n = 85

цр = P

Mean = цр = 0.27

There are 33 nickels, 7 dimes, and 24 quarters in Jennifer's bucket of coins

Given, there are 64 nickels, dimes, and quarters in total.

We know 20 nickels=1 dollar.

Thus, 1 nickel= 1/20 dollars

10 dimes= 1 dollar => 1 dime= 1/10 dollar

4 quarter= 1 dollar => 1 quarter= ¼ dollar

Let x be the number of nickels, y be the number of dimmed, and z be the number of quarters in the bucket.

Therefore, x+y+z=64 …….. eq(i)

And given, x-z= y+2 =>x=y+z+2 …….. eq(ii)

And, x/20 + y/10 + z/4= 8.35

=> x+ 2y+ 5z= 8.35*20

=> x+ 2y+ 5z= 167……eq(iii)

Now, substituting x+ y+ z= 64 in eq(iii), we get,

y+4z+ 64= 167

=>y+4z= 103…….. eq(iv)

And, substituting x= y+z+2 in eq (i), we get,

2y+2z+2= 64

=>y+z+1=32

=>y+z=31….,eq(v)

Subtracting, eq(v) from eq (iv), we get,

3z=72

=> z= 24

Putting z=24 in eq(v)

=> y+ 24=31

=> y= 7

And, putting y=7 and z=24 in eq(i), we get,

=> x+7+24= 64

=> x=33

Therefore, number of nickels= 33, number of dimes= 7, and number of quarters= 24

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9514 1404 393

Answer:

  a) profit has a typical curve: negative at low volume, and again at very high volume.

  b) $239,407

Step-by-step explanation:

a) The graph is negative below x=1.58, so the break-even point is 158 toys sold. The profit declines steeply above 533 toys sold, to again go negative for 774 toys sold. This sort of curve seems fairly typical.

__

b) The profit is a maximum of $239,407 when 533 toys are sold.

Answer: sin C = 7/25, cos C = 24/25, tan C = 7/24

Step-by-step explanation: Use trig ratios based on angle C

Answer:

see explanation

Step-by-step explanation:

sin C = \(\frac{opposite}{hypotenuse}\) = \(\frac{AB}{AC}\) = \(\frac{7}{25}\)

cos C = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AC}\)  = \(\frac{24}{25}\)

tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{7}{24}\)

Answer:

hol up

x=-1/8  negative one over eight

Step-by-step explanation:

Measure of an angle = x

Measure of another angle = x - 143.4

Each angle is the supplement of the other angle .

Which means :-

\(x + x - 143.4= 180\)

\(2x - 143.4 = 180\)

\(2x = 180 + 143.4\)

\(2x = 323.4\)

\(x = \frac{323.4}{2} \)

\(\color{hotpink}x = 161.7\)

Measure of the first angle :-

\(\color{hotpink} = 161.7°\)

Measure of the second angle :-

\( = x - 143.4\)

\( = 16.7 - 143.4\)

\(\color{hotpink} = 18.3°\)

As the sum of the measure of each angle adds up to 180° (161.7+18.3=180) , we can conclude that we have found out the correct value of each of the angles .

Therefore , the measure of the first angle is = 161.7° and the measure of it's supplementary angle is = 18.3° .

Answer:

x∈ (-1, ∞)

Step-by-step explanation:

Solution of the inequality:

                                              sign to opposite

Answer: about 2 minutes and 47 seconds

Step-by-step explanation: