The product of sin 30 and sin 60 is same as the product of

Answer:

81.86%

Step-by-step explanation:

We are given that the mean GPA of students in a course at UC Davis is 3.2 with a standard deviation of 0.3.

Assuming that the data follows normal distribution.

Let X = GPA of students in a course at UC Davis

So, X ~ Normal()

The z score probability distribution for normal distribution is given by;

                              Z  =   ~ N(0,1)

where,  = population mean GPA = 3.2

           = standard deviation = 0.3

Now, the probability that the students in the course have a GPA between 2.9 and 3.8 is given by = P(2.9 < X < 3.8)

       P(2.9 < X < 3.8) = P(X < 3.8) - P(X  2.9)

       P(X < 3.8) = P(  <  ) = P(Z < 2) = 0.97725

       P(X  2.9) = P(    ) = P(Z  -1) = 1 - P(Z < 1)

                                                        = 1 - 0.84134 = 0.15866

The above probability is calculated by looking at the value of x = 2 and x = 1 in the z table which has an area of 0.97725 and 0.84134 respectively.

Therefore, P(2.9 < X < 3.8) = 0.97725 - 0.15866 = 0.8186

Hence, 81.86% of students in the course have a GPA between 2.9 and 3.8.

Answer:

x = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Step 1: Solve

We can divide 3 from both sides to get "x" by itself

[tex]3x=1\\\frac{3x}{3} =\frac{1}{3} \\x = \frac{1}{3}[/tex]

Therefore x = [tex]\frac{1}{3}[/tex]

Answer:

[tex]\large \boxed{x=\frac{1}{3} }[/tex]

Step-by-step explanation:

[tex]3x=1[/tex]

We need to solve for the x variable. It is best to isolate the variable on one side of the equation to find the value that makes the equation true.

Divide both sides of the equation by 3.

[tex]\displaystyle \frac{3x}{3} =\frac{1}{3}[/tex]

Simplify the equation.

[tex]\displaystyle x=\frac{1}{3}[/tex]

Answer:

-4x-7

Step-by-step explanation:

Add like terms, aka the Xs and the normal numbers

Answer:

C (Your chosen answer) is correct

Step-by-step explanation:

AA (Angle-Angle) Similarity postulate is exactly what it sounds like: Two triangles can be proven similar if they have two congruent angles.

We can tell what angles are congruent through the markings:

(A) and (B) can be immediately be eliminated, because one or more tringle in the pair does not have enough markings to prove congruency, so therefor cant be proven to be similar.

(D) is a little more difficult to decipher, but when you look closely, you can tell that the markings are not identical, so therefor  the angles are not congruent.

(C) is correct because it has identical markings which makes the angles congruent.

Hope this helps :)

Option C is correct because it has identical markings which makes the angles congruent by AA.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Two triangles can be proven similar if they have two congruent angles.

Option A and B are not similar through AA because one or more tringle in the pair does not have enough markings to prove congruency, so therefore they are not similar.

Option C is correct because it has identical markings which makes the angles congruent by AA.

Hence, Option C is correct because it has identical markings which makes the angles congruent by AA.

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Answer:

The expression is T = b+s

Step-by-step explanation:

If b represents the number of bikes and s represents the number of skateboards Donte is planning to repair to save up money for college, the total number of things he can repair in a day will be expressed as the sum of number of bikes and number of skateboards i.e b+s = T

Given that He can repair up to 2 bikes per day, the total and 4 skateboards per day this means that b = 2 and s = 4

Total number of thing's he can repair in a day given this amount T = 2 + 4 = 6 things

Step-by-step explanation:

Let the number is n. We need to write an expression for "seven less than the quotient of nineteen and a number"

The quotient of nineteen and a number is [tex]\dfrac{19}{n}[/tex] and 7 less than this is [tex]\dfrac{19}{n}-7[/tex]

Now if n = 2, put the value of n in above expression,

[tex]\dfrac{19}{n}-7=\dfrac{19}{2}-7\\\\=\dfrac{5}{2}\\\\=2.5[/tex]

So, the value of the above expression is 2.5 at n = 2.

Answer:

19/n-7

and 2.5

Step-by-step explanation:

If u actually read the other guy's work

Answer: C

Step-by-step explanation:

The formula to find average rate of change is [tex]\frac{f(b)-f(a)}{b-a}[/tex]. Since the problem is asking for the average rate of change from the second to fifth year, we plug in a=2 and b=5.

[tex]\frac{f(5)-f(2)}{5-2}[/tex]

f(5)=420.4

f(2)=408.04

[tex]\frac{420.4-408.04}{5-2}=4.12[/tex]

Now, we get 4.12 dollars per year for the average rate of change.

Answer: D

Step-by-step explanation:

they shouldn’t be two different sentences they should blend together. “Until the train comes to a complete stop in the station.” is not a complete sentence making it a dependent clause which means it needs its independent clause to complete that sentence

Answer:

Principal

Step-by-step explanation:

Given

[tex]Debt = \$500[/tex]

[tex]Spent = 29\ cents[/tex]

Required

Determine what the given parameters describe

Literally, the principal amount is the starting amount of anything and as seen in the given parameters, the starting amount is the debt which amounts to $500

Taking the options one after the other;

We can conclude that the given parameters do not talk about Interest, Rate of interest and Time constraint;

Hence, D. Principal answers the question.

The given parameters do not relate to interest

Answer:

k=0

Step-by-step explanation:

R(x)=kx-2x²

R(1/4)=k(1/4)-2(1/4)²=k/4-1/8

R(-1/4)=k(-1/4)-2(-1/4)²=-k/4-1/8

R(1/4)=R(-1/4)

k/4-1/8=-k/4-1/8

k/4+k/4=1/8-1/8

2k/4=0

2k=0

k=0

Answer:

B) -4<x<2

Step-by-step explanation:

-1 < x + 3 < 5

-3       -3      -3

-4 < x + < 2

We have some unknown number x and we're adding 3 to it getting x+3

To isolate x, we need to undo the operation happening to it. So we need to undo the addition of 3. We'll subtract 3 from all sides

-1 < x+3 < 5

-1-3 < x+3-3 < 5-3 ... subtract 3 from all sides

-4 < x+0 < 2

Answer:

can you explain the question better

Answer:

2,000 children attended and 1,250 adults attended.

The equations needed to solve these problems are:

[tex]x+y=3250\\2.00x+4.50y=9625[/tex]

Step-by-step explanation:

First, set up a system of equations.  Let "x" equal the number of children who attended the class and let "y" equal the number of adults who attended the class.

Our two equations to use to solve this problem are:

[tex]x+y=3250\\2.00x+4.50y=9625[/tex]

Then, I took the first equation and I isolated the x-variable:

[tex]x+y=3250\\x+y-y=3250-y\\x=3250-y[/tex]

Then, I substituted (3250-y) in for the x-variable in the second equation and I solved for "y":

[tex]2.00x+4.50y=9625\\2.00(3250-y)+4.50y=9625\\6500-2.00y+4.50y=9625\\6500+2.50y=9625\\6500-6500+2.50y=9625-6500\\2.5y=3125\\\frac{2.5y}{2.5}=\frac{3125}{2.5}\\ y=1250[/tex]

Next, I substituted the y-value that I got in for the y-variable in the first equation:

[tex]x+y=3250\\x+1250=3250\\x+1250-1250=3250-1250\\x=2000[/tex]

Finally, now that I have found both the x-value and the y-value, I will use the values to check  in both of my equations:

Equation 1:

[tex]x+y=3250\\2000+1250=3250\\3250=3250[/tex]

It works for Equation 1.

Equation 2:

[tex]2.00x+4.50y=9625\\2.00(2000)+4.50(1250)=9625\\4000+5625=9625\\9625=9625[/tex]

It works for Equation 2.

Therefore, the values work.

That means that 2000 children attended the class and 1250 adults attended the class.

Answer:

a= about 2.7 pounds of apples

Step-by-step explanation:

2.14=0.99a-0.50

2.64=0.99a

Answer:

D. -2/5

Step-by-step explanation:

Slope=  [tex]\frac{delta Y}{Delta X} =\frac{-2}{5}[/tex]

Answer:

D

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (14, - 2)

m = [tex]\frac{-2-4}{14+1}[/tex] = [tex]\frac{-6}{15}[/tex] = - [tex]\frac{2}{5}[/tex] → D

Answer:

Hey there!

February has 28 days on a non leap year.

Valentine's day is February 14th.

Thus, in the 28 days, you can be born on any day between day 1 and day 13.

You have a 13/28 probability to be born before Valentine's day.

Let me know if this helps :)

Answer:

5/12

Step-by-step explanation:

We know that Santos flipped the coin a total of 300 times. Out of the 300 times, he flipped 125 heads. We need to find a simplified ratio equivalent to:

125/300

First, a common factor is 5, so we can divide both sides by 5 to get:

25/60

We can divide it by more to simplify it down, so we can try another 5 to get:

5/12

5/12 would be the simpliest form

So 125/300 is equal to 5/12

Other forms: 5:12, 0.42, %42

Answer:

a

normal approximation not appropriate in this instance because  

    [tex]np = 3300 * 0.9998 = 3299.3 > 5[/tex]

and  

     [tex]nq = 3300 * 0.0002 = 0.66 < 5[/tex]

b

  The probability is  [tex]P(X = 3300) = 0.52[/tex]

c

 The probability is  [tex]P(X = 3287) = 0[/tex]

Step-by-step explanation:

From the question we are told that

   The  sample size is  [tex]n = 3300[/tex]

    The  chance of liking blueberry pie is  [tex]p = 0.9998[/tex]

    The  chance of not  liking blueberry pie is [tex]q = 0.0002[/tex]

For normal approximation is possible if  

       [tex]np > 5[/tex] , [tex]nq > 5[/tex]

Now let test

      [tex]np = 3300 * 0.9998 = 3299.3 > 5[/tex]

and  

     [tex]nq = 3300 * 0.0002 = 0.66 < 5[/tex]  

The  probability that all 3300 people will say they like blueberry pie is mathematically represented as

       [tex]P(X = 3300) = p^{3300}[/tex]

       [tex]P(X = 3300) = (0.9998)^{3300}[/tex]

        [tex]P(X = 3300) = 0.52[/tex]

The probability that 3297 of the people will say that they like blueberry pie is  mathematically represented as

         [tex]P(X = 3287) = \frac{(np)^{3297! } * e^{-np}}{3297}[/tex]

          [tex]P(X = 3287) = \frac{0}{\infty}[/tex]

          [tex]P(X = 3287) = 0[/tex]

Answer:

perimeter =  4z - 8

Step-by-step explanation:

perimeter of a square box = 4 times the side

P = 4 ( z - 2)

P = 4z - (4*2)

P = 4z - 8

Answer:

There is not enough evidence to support the mangers claim.

Step-by-step explanation:

We are given;

Sample Size; n = 1600

Sample proportion; p^ = 0.26

Population Proportion; p = 0.24

The hypotheses are;

Null Hypothesis: H0: p = 0.24

Alternative Hypothesis: Ha: p ≠ 0.24

The z-formula for this is;

z = (p^ - p)/√(p(1 - p)/n)

Plugging in the relevant values, we have;

z = (0.26 - 0.24)/√(0.24(1 - 0.24)/1600)

z = 0.02/0.01067707825

z = 1.87

From online p-value from z-score calculator, with 2 tail attached, we have;

p = 0.061484

This p-value is less than the significance level of 0.1. Thus, we will reject the null hypothesis and conclude that there is not enough evidence to support the managers claim.

Answer:

He will have 12 small shirts and 18 large shirts.

Step-by-step explanation:

How I know this is because to get from 4 to 24 you have to multiply by 6, so I multiplied 6x2 and got 12, and I also multiplied 6x3 and got 18.

The manager plans to order 24 medium shirts. he will have 12 small shirts and 18 large shirts.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

It is given that a manager of a clothing store always orders 2 small shirts and 3 large shirts for every 4 medium shirts ordered.

The manager plans to order 24 medium shirts.

We need to get from 4 to 24.

So we have to multiply by 6,

so multiplied 6 x 2 = 12,

and multiplied 6 x 3 = 18.

Therefore, The manager plans to order 24 medium shirts. he will have 12 small shirts and 18 large shirts.

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Answer:

x = 40

Step-by-step explanation:

Adding 23 to both sides gives us:

x - 23 + 23 = 17 + 23

x = 40

Answer:

Step-by-step explanation:

[tex] \sf{x - 23 = 17}[/tex]

Move constant to right hand side and change it's sign

[tex] \sf{x = 17 + 23}[/tex]

Add the numbers

[tex] \sf{x = 40}[/tex]

Hope I helped!

Best regards!!

Answer:

We need to find the value of the expression when d=3. Substitute d=3 in the above expression. Hence, the value of the expression at d=3 is 73.

this is similar answer of your question

Answer:

121

Step-by-step explanation:

Given data as per the question

Standard deviation = [tex]\sigma[/tex] = 840

Margin of error = E = 150

Confidence level = c = 95%

For 95% confidence, z = 1.96

based on the above information, the minimum number of clients surveyed by the travel agent is

[tex]n = (\frac{z\times \sigma}{E})^2[/tex]

[tex]= (\frac{1.96\times 840}{150})^2[/tex]

= 120.47

= 121

hence, the 121 number of clients to be surveyed

Therefore we applied the above formula to determine the minimum number of clients

Answer:

35.71%

Step-by-step explanation:

So, let's determine the number of jobs the industry will have in 2030.

So, in 2020, the industry has 123,200 jobs.

Each year, the industry loses 4,400 jobs.

Thus, by 10 years in (2030), the industry would have lost (4,400)(10) or 44,000 jobs.

This means that in 2030, there will only be 123,200-79200 jobs left.

Now, percentage change is given by:

[tex]PC=\frac{New-Old}{Old}\cdot100\%[/tex]

The new value is 79200 and the old value is 123,200. Substitute them:

[tex]PC=\frac{(79200)-(123200)}{123200}\cdot100\%\\[/tex]

Use a calculator. Simplify:

[tex]PC=\frac{-44000}{123200}\cdot100\%\\ PC\approx-0.3571\cdot100\%\\PC\approx-35.71\%[/tex]

If the result is negative, then it's a decrease. Therefore, the percentage change from 2020 to 2030 is approximately 35.71%

Answer:

The answer is 35.71%

Step by step explanation

In 2020 the industry has 123,200 jobs.

Each year, the industry loses 4,400 jobs.

Thus, by 10 years in (2030), the industry would have lost (4,400)(10) or 44,000 jobs.

This means that in 2030, there will only be 123,200-79200 jobs left.

Now, percentage change is given by:

New−Old

⋅100%

The new value is 79200 and the old value is 123,200. Substitute

123200

(79200)−(123200)

⋅100%

Simplify:

PC≈−0.3571⋅100%

PC≈−35.71%

the percentage change from 2020 to 2030 is 35.71%

Answer: Yes, this is a linear function between P and M.

Step-by-step explanation:

We can define a function as a relation between two or more variables, like y = f(x).

This function, maps the elements x (the input) into elements y (the output).

We have a rule for a function: Each input x can be mapped into only one output y.

In this case, we have:

P = 0.15*M + 20.

Let's prove that each value of M is related to only one value of P.

Suppose that, for a given M0, we have:

0.15*M0 + 20 = p1

and also for M0, we have:

0.15*M0 + 20 = p2

This means that p1 = p2, so we can not have different outputs for the same input.

This is a linear relation, so each value of M is related to only one value of P.

Then this is a function P(m) = 0.15*M + 20.

Answer:

Stacey wanted to build a model airplane to display in her room. The scale ratio she planned to use was for every 4 feet the airplane was, the model airplane would be 1 inch. If the plane was 250 feet long, how long would the model airplane be?

Here, I used the ratio 4 : 1 as a scale in the problem.

Answer:

Step-by-step explanation:

[tex]-7.1h-(-2k-1)\\-\left(-2k-1\right):\quad 2k+1\\=-7.1h+2k+1[/tex]

Answer:

0.06

Step-by-step explanation:

The probability they go to the city playoffs is:

0.30 (or 30%)

Then assuming they have gone to the city playoffs, the probability they go to the state playoffs is 0.20 (or 20%)

The probability of both events is the product:

P(city then state) = 0.30 * 0.20 = 0.06

Answer:

0.06

Step-by-step explanation:

Answer:

18432

Step-by-step explanation:

The first term is 9 and the common ratio is -18 / 9 = 2, therefore the explicit formula is aₙ = 9 * 2⁽ⁿ⁻¹⁾. Therefore, a₁₂ = 9 * 2¹¹ = 18432.

Answer:

-18432

Hey! I got this Answer STRAIGHT OFF OF DeLTA MATH! This answer is correct because it states it is. I think we can trust a Math software more then just some rando dude on the internet! I hope this helped! Also I noticed people put answers online but purposefully make it wrong. Like the answer is 24 but they purposefully put -24. Just a random fact! Anyways hope this helped! Put the heart and your rating on this answer to help other people find it! Let me know if this worked! Bye my loves!