Pelease help me thank you for your time

Answer:

34

Step-by-step explanation:

A triangle will add up to a degree of 180, so if you add those 2 angles then subtract it from 180 you will get the answer. So, 115+31=146 then 180-146=34

So the answer is 34

Answer:

b = 34 degrees

Step-by-step explanation:

*triangles have an interior angle of 180 degrees

to find b, take the known angles (115 and 31) add them together and subtract the sum from 180:

⇒ 180 - (115 + 31)

solve:

⇒ 180 - 146 = 34

b = 34

Answer:0.0098

Step-by-step explanation:

Answer:

Since the calculated value of Z= 0.242887  is less than  Z (0.05) = 1.645 and falls in the critical region we  reject the null hypothesis and conclude that there is not sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat.

Step-by-step explanation:

Here

p1= proportion of women who  would rather be poor and thin than rich and fat

p1= 315/500= 0.63

p2= proportion of men who  would rather be poor and thin than rich and fat

p2= 220/400= 0.55

1) Formulate the hypothesis as

H0: p1>p2   against the claim  Ha: p1 ≤ p2

2) Choose the significance level ∝0.05

3) The test Statistic under H0 , is

Z= p1^ - p2^ / sqrt( pc^qc^( 1/n1 + 1/n2))

pc^= an estimate of the common proportion

pc ^ = n1p1^ + n2p2^/ n1+n2

4) The critical region is Z≤ Z (0.05) = 1.645

5)  Calculations

pc^ = 315+ 220/ 500+400=  535/900

pc^= 0.5944

and qc^= 1-0.5944= 0.4055

Thus

Z = 0.63-0.55/ sqrt ( 0.5944*0.4055( 1/500+ 1/400))

Z= 0.08/ sqrt (0.24108 (900/2000))

Z= 0.08/√0.10849

Z= 0.242887

Conclusion :

Since the calculated value of Z= 0.242887  is less than  Z (0.05) = 1.645 and falls in the critical region we  reject the null hypothesis and conclude that there is not sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat.

Answer: 39.96 people

Step-by-step explanation:

If 55.6% quit, that means 44.4% still go to the gym.

44.4%*90 = 39.96 people

Answer:

----------------------

Let each pack have x pens, then 7 packs have 7x pens.

Megan gives 5 pens to her friend and 30 pens left over. Set up an equation and solve for x:

There are 5 pens in each pack.

Answer:

Answer A is correct

Step-by-step explanation:

Megan starts with 7 packs of pens.

Let the number of pens in each pack be x

So initially, Megan has a total of 7x pens.

Then she gives 5 pens to her friend.

After giving away 5 pens, she has 7x - 5 pens left.

According to the problem, Megan has 30 pens left over.

Therefore, we can set up the equation like this:

7x - 5 = 30

Solve for x.

7x = 30 + 5

7x = 35

Dividing both sides by 7.

x = 35/7

x = 5

Therefore, there are 5 pens in each pack.

So, Megan has 7 packs of pens, and each pack contains 5 pens.

The probability that a randomly selected egg laid by a young hen weighs less than 55 grams is approximately 0.1056, or 10.56%.

To find the probability that a randomly selected egg laid by a young hen weighs less than the desired minimum weight of 55 grams, we need to calculate the z-score and use the standard normal distribution table.

Step 1: Calculate the z-score.
z = (x - μ) / σ
where x is the desired weight (55 grams), μ is the average weight (50 grams), and σ is the standard deviation (4 grams).

z = (55 - 50) / 4
z = 5 / 4
z = 1.25
Step 2: Use the standard normal distribution table to find the probability.
Look up the value 1.25 in the table and find the corresponding probability. The value for z = 1.25 is approximately 0.8944.
Step 3: Subtract the probability from 1.
Since the table gives the probability of the weight being less than 55 grams, we need to subtract the value from 1.
1 - 0.8944 = 0.1056
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Answer:

the question is not visible

The angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

Given sinz = -4/5 for pi < z < (3pi)/2, we need to find the value of cosz. We can use the trigonometric identity of Pythagorean theorem to find the value of cosz.

According to Pythagorean theorem, sin2θ + cos2θ = 1, where θ is the angle in the right-angled triangle and sin, cos are the trigonometric ratios.

The negative sign for the given sinz indicates that the angle z is in the third quadrant. So, we can take the help of the unit circle to find the value of cosz as shown below:

Here, we have used the Pythagorean identity of sin2z + cos2z = 1 on the unit circle to find the value of cosz. Since the value of sinz is already given, we can find the value of sin2z as: sin2z = sinz x sinz = (-4/5) x (-4/5) = 16/25

Then, we can substitute the value of sin2z in the Pythagorean identity as: cos2z = 1 - sin2z = 1 - (16/25) = 9/25We need to find the value of cosz.

So, we can take the square root of cos2z as: cosz = ±(√(9/25)) = ±(3/5)The sign of cosz can be determined by considering the quadrant of the angle z.

Since the angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

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Answer:

whut

Step-by-step explanation:

Step-by-step explanation:

To evaluate (f • p)(-5), we first need to find the composite function f(p(-5)):

p(-5) = (-5)³ + 4(-5) = -125 - 20 = -145

f(p(-5)) = 3(-145) + 2 = -435 + 2 = -433

Therefore, (f • p)(-5) = f(p(-5)) = -433.

The equation that represents the given data is  \(\RM \\f(x) = -\sqrt[3]{-x} ,\) Option D is the correct answer.

It is a statement where two variables , one dependent and one independent are related.

It is given that

a cube root function goes through (8, 2), has an inflection point at (0, negative 1), and goes through (8, negative 3).

The equation given in the options are

\(\rm f(x) = -\sqrt[3]{x} \\f(x) = -\sqrt[3]{x-1} \\f(x ) =-\sqrt[3]{-x} -1 \\f(x) = -\sqrt[3]{-x}\)

The function goes through (8,2)

Substituting the values

f(x) = -2

f(x) = \(\sqrt[3]{7}\)

f(x) = -3

f(x) = 2

The equation that represents the given data is

\(\RM \\f(x) = -\sqrt[3]{-x} ,\) Option D is the correct answer.

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Answer:

D

Step-by-step explanation:

Answer:

Each car weighs 2,265 pounds

Step-by-step explanation:

Given that the car carrier weighs 35,000 pounds when empty, that is, without cars, and that loading 7 cars its weight is 50,855 pounds, the difference between both values implies the weight of the 7 cars together, which is determined through the following calculation:

50,855 - 35,000 = X

15.855 = X

Thus, the weight of the 7 cars together is 15,855 pounds. In turn, the weight of each particular car is determined from the following division:

15.855 / 7 = X

2,265 = X

Therefore, each car weighs about 2,265 pounds.

There are 896 trips will it take him to haul all of the dirt away.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The rectangular hole is 8 feet wide, 16 feet long, and 7 feet deep.

Now,

Since, The rectangular hole is 8 feet wide, 16 feet long, and 7 feet deep.

And, His pickup truck can haul one cubic meter.

Hence, Number of trips will it take him to haul all of the dirt away will be;

⇒ 16 × 7 × 8 / 1

⇒ 896

Thus,  Number of trips = 896

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Answer:

AB would be 21

Step-by-step explanation:

Sides BF and DF equal 8, because triangles BFC and DFC are both right triangles and they have two equal sides (hypotenuses are equal and both triangles share side FC), triangles BFC and DFC are congruent triangles, which means side DC is equal to BC. Since right triangles ADC and ABC share side AC and BC = DC, they are congruent triangles, meaning AB will equal AD, which is 21.

In order to find how many students are enrolled in either class, hip hop or ballroom, we look at the possibilities; in this case, the only possibility in which the student is not enrolled in either is if the student is only enrolled in Latin, for that reason the number of students enrolled in hip hop or ballroom is:

The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.

To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:

Compound Interest =P(1+r/n)^rt

Substituting the given values, we get:

Compound Interest =600 (1+7/n)^4

Simplifying this equation, we get

P = 600 / 1.487

P = 451.73

Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.

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\(\huge\text{Hey there!}\)

\(\large\text{14f - 5s + 6f - 20 + 17s - 2f}\)

\(\large\textsf{COMBINE the LIKE TERMS}\)

\(\large\text{(14f + 6f - 2f) + (-5s + 17s) + (-20)}\)

\(\large\textsf{SOLVING for the F-VALUES}\)

\(\large\text{14f + 6f - 2f}\\\large\text{14f + 6f = \bf 20f}\\\large\text{20f - 2f = \bf 18f}\)

\(\large\textsf{SOLVING for the S-VALUES}\)

\(\large\text{-5s + 17s = \bf 12s}\)

\(\large\text{-20 \textsf{will stay the same because there is NOT any like terms for it}}\)

\(\large\text{-20 = \bf -20}\)

\(\boxed{\boxed{\large\textsf{Answer: \huge \bf {18f + 12s - 20}}}}\huge\checkmark\)

\(\large\textsf{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

67 ans

Step-by-step explanation:

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Answer:

67

Step-by-step explanation:

Answer:

2.98

Step-by-step explanation:

First find 3% of 16.05 which is 0.48.

Then add 0.48 to 16.05 which is 16.53.

Then multiply .18 by 16.53 which gets you 2.98

Hope it helps

Answer:

To find the amount of the sales tax, we need to multiply the bill amount by the tax rate of 3% or 0.03:

Sales tax = 0.03 x $16.05 = $0.48

To find the total amount of the bill after the sales tax was added, we need to add the bill amount to the sales tax:

Total bill = $16.05 + $0.48 = $16.53

To find the amount of the tip, we need to calculate 18% of the total bill after the sales tax was added:

Tip = 0.18 x $16.53 = $2.98

Rounding to the nearest cent, Penelope left a tip of $2.98.

Step-by-step explanation:

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Answer:

z (max) = 96

x₁  = 2

x₂ = 0

x₃ = 1

Step-by-step explanation:

Fromproblem statement:

                                    weight (lb) .          Profit $

Denim jeans                    2.1                         40

CD players                       3.2                        48

Compact Discs                0.8                        16

Objective Function z is:

z = 40*x₁  + 48*x₂ + 16*x₃             to maximize

Subject to:

Weight constrain:    5 lb

2.1*x₁  +   3.2*x₂   + 0.8*x₃

x₁≥ 0   x₂  ≥ 0        x₃ ≥ 0      All integers

Using AtomZmath on-line solver and after 2 iterations

Solution:

z (max) = 96

x₁  = 2

x₂ = 0

x₃ = 1

The maximized profit is the highest profit Juan can get by selling his items.

The maximized profit is $96

Let x represents the Denim jeans, y represents the CD players and z represent the compact discs.

So, we have the following parameters

Weights

\(x = 2.1\)

\(y = 3.2\)

\(z = 0.8\)

The weight cannot exceed 5 pounds.

So, the constraint is

\(2.1x + 3.2y + 0.8z \le 5\)

The profit is given as:

\(x = 40\)

\(y = 48\)

\(z = 16\)

So, the objective function to maximize is

\(Max\ Z = 40x + 48y + 16z\)

The integer programming model is then represented as:

\(Max\ Z = 40x + 48y + 16z\)

Subject to:

\(2.1x + 3.2y + 0.8z \le 5\)

\(x,y,z \ge 0\)

Using a graphing calculator, the values that maximize the objective function are:

\(x = 2\)

\(y = 0\)

\(z = 1\)

Substitute these values in the objective function

\(Max\ Z = 40x + 48y + 16z\)

\(Z = 40 \times 2 + 48 \times 0 + 16 \times 1\)

\(Z = 80 + 0 + 16\)

\(Z = 96\)

Hence, the maximized profit is $96

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(i) Probability is a notion in Mathematics which describes the likelihood of an event or a set of events occurring. It is a measure of uncertainty when estimating the outcome of an experiment or an observation.

(ii) The axioms of probability are:

the non-negativity (that the probability of an event is greater than or equal to zero), and

the additivity (that the probability of the union of two or more mutually exclusive events is equal to the sum of their individual probabilities).

(iii) When two fair dice are thrown the probability of getting:

a) The sum of 9 = 1/9

b) Two odd numbers = 1/4

c) two prime numbers = 1/9

d)  two factors of 12 = 1/9

(iv) Statistics is a branch of mathematics that deals with data collection, analysis, interpretation, presentation, etc.

To find probability when two dice are thrown, we have:

(a) The sum of 9:

We will estimate the number of ways to get a sum of 9: (3,6), (4,5), (5,4), and (6,3) = 4 ways

A die has 6 possible outcomes, the total number of possible outcomes is 6x6=36 = 4/36 = 1/9.

(b) Two odd numbers:

We count the number of ways to get two odd numbers: (1,3), (1,5), (1,7), (3,1), (3,5), (3,7), (5,1), (5,3), and (5,7).

possible outcomes = 9,

So, the total possible outcomes = 6x6=36 = 9/36 = 1/4.

(c) Two prime numbers

We estimate the number of ways we can get two prime numbers: (2,3), (3,2), (5,2), and (2,5)

possible outcomes = 4,

So, the total possible outcomes = 6x6 =36 = 4/36, = 1/9.

(d) Two factors of 12:

We count the number of ways and divide by the total possible outcomes.

The factors of 12 are 1, 2, 3, 4, 6, and 12: (2,6), (3,4), and (4,3) = 3 ways

possible outcomes = 6

Therefore, the total number of possible outcomes = 6x6=36 = 3/36, = 1/12

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Answer:

There are 153 combinations

Combinations - any two from eighteen is given by the formula 18C2 or 18! / (2!*16!)

= 18 * 17 / 2 = 153

OK that is the maths - now the explanation

The first sock can be any of 18

The second sock can be any of 17 (one already been selected and they must be mismatched)

Therefore there are 18*17 = 306 permutations she could make

However the question asks for "combinations" not "permutations"

A green sock on the right foot and a yellow sock on the left foot is deemed to be a different "permutation" to a yellow sock on the right foot and a green sock on the left foot. HOWEVER, they are regarded as the same "combination" in both cases you have one green and one yellow sock.

Therefore for combinations we must divide the 306 permutations calculated above by 2 = 153

FYI Walton has incorrectly given you the value of 18!. That would only apply if Martha Mathy had 18 feet!

Answer:

D, g(x) = 1/4 x^2

Step-by-step explanation:

You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.

Answer:

the answer is 21 because

Step-by-step explanation:

28÷4=7

28-7=21

Answer:

21 boys

Step-by-step explanation:

girls:boys

    4:3

  28:x

girls:

 4 became 28 by multiplying 4 by 7

So do the same to boys

Therefore,

 when we multiply 3 by 7

     =21 boys

Hope you got it

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La hipotenusa mide 137 cm.

Podemos utilizar el teorema de Pitágoras para resolver este problema, que establece que en un triángulo rectángulo, el cuadrado de la hipotenusa es igual a la suma de los cuadrados de los catetos.

Sea "a" la medida del otro cateto, entonces:

a² + 77² = (a+49)²

Desarrollando los cuadrados y simplificando, tenemos:

a² + 5929 = a²+ 98a + 2401

Restando a ambos lados a², obtenemos:

5929 = 98a + 2401

Restando 2401 a ambos lados, obtenemos:

3528 = 98a

Dividiendo por 98, obtenemos:

a = 36

Por lo tanto, el otro cateto mide 36 cm, y la hipotenusa se puede calcular utilizando el teorema de Pitágoras:

h² = a² + b²

h2 = 36² + 77²

h² = 12996 + 5929

h² = 18925

Tomando la raíz cuadrada en ambos lados, obtenemos:

h = 137

Por lo tanto, la hipotenusa mide 137 cm.

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Answer:

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5+k−5k=−4k+60

5+k+−5k=−4k+60

(k+−5k)+(5)=−4k+60(Combine Like Terms)

−4k+5=−4k+60

−4k+5=−4k+60

Step 2: Add 4k to both sides.

−4k+5+4k=−4k+60+4k

Step-by-step explanation:

work he in a department store