A total of 259 tickets were sold to a benefit concert for a total of $5,312. Two types of tickets were sold: adult tickets were sold for $24 each and student tickets were sold for $16 each. How many student tickets were sold?

Answer:

true

Step-by-step explanation:

A prism is a solid with parallelogram sides (usually rectangles) and a polygon for the 2 bases. Any polygon can be the base.

Answer:

Hello!

__________________

Your answer would be (A) True.

Step-by-step explanation: Hope this helped you!

Any polygon can be the base of a prism so the answer is true.

Answer:

7850 feet.sq

Step-by-step explanation:

the area of a cercle is:

A = r²*π     where r is the radius

A= 50²*3.14 = 7850 ft²

Answer:

50.24 yd²

Step-by-step explanation:

pi r² = (3.14)(4)² = 50.24

Answer:

1. continuous random variable

2. not a random variable

3. a continuous random variable

Step-by-step explanation:

The classifications are as follow

a)  The height of the player reported in the game day program is treated as a continuous random variable as these values could be determined through measuring them

b)  The color of student car is not a random variable as it does not contain any quantitative data or we can say numerical data

c)  The exact weight of the bag is a continuous variable as it is lie between the range

Answer:

12

Step-by-step explanation:

Let's call the width x and the length x + 3. Using the Pythagorean Theorem we can write:

(x + 3)² + x² = 15²

x² + 6x + 9 + x² = 225

2x² + 6x - 216 = 0

2(x² + 3x - 108) = 0

2(x + 12)(x - 9) = 0

x + 12 = 0 or x - 9 = 0

x = -12 or x = 9

x cannot be -12 because length/width can't be negative so x = 9 which means that the length is 9 + 3 = 12.

Step-by-step explanation:

define define equation we need the value of the radius and

Answer:L=30 S=50

Step-by-step explanation:

3.25 x 50 = 162.5

245 - 162.5 = 82.5

82.5 divided by 30 equals 2.75.

Answer:

Cost: $247

Discount: $133

Step-by-step explanation:

Simply multiply 380 and 35% off together to get your answer:

380(1 - 0.35)

380(0.65)

247

To find the discount amount, simply subtract the 2 numbers to get your answer:

380 - 247 = 133

Answer:

x= -3, y= -5

or x= 5, y=3

Step-by-step explanation:

① Label the 2 equations

x² +y²= 34 -----(1)

3x -3y= 6 -----(2)

From (2):

x -y= 2 -----(3)

Notice that (x-y)²= x² -2xy +y²

Thus, (equation 3)²= (equation 1) -2xy

Squaring (3):

(x -y)²= 2²

(x -y)²= 4

Expand terms in bracket:

x² -2xy +y²= 4

x² +y² -2xy= 4 -----(4)

subst. (1) into (4):

34 -2xy= 4

2xy= 34 -4 (bring constant to 1 side)

2xy= 30 (simplify)

xy= 30 ÷2 (÷2 throughout)

xy= 15 -----(5)

From (3):

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

I'll rewrite 2 of the equations.

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

xy= 15 -----(5)

Subst. (6) into (5):

y(y+2)= 15

y² +2y= 15

y² +2y -15= 0

(y +5)(y -3)=0

y+5= 0 or y-3=0

y= -5 or y= 3

Subst. into (6):

x= -5 +2 or x= 3 +2

x= -3 or x= 5

Answer:

y=-5,                 y=3

x=-3.,                x=5

Step-by-step explanation:

x^2+y^2=34

3x-3y=6

isolate x in te equation

3x-3y=6

x=3/3 y+6/3

x=y+2

plug the y+2 in the equation:

x^2+y^2=34

(y+2)^2+y^2=34

y^2+4y+4+y^2=34

2y^2+4y=34-4

2y^2+4y=30 divide by 2

y^2+2x-15=0 factorize

(y+5)(y-3)=0 eiter y+5=0 ten y=-5 or y-3=0 then y=3

now plug the solution in the equation

3x-3y=6

3x-3(-5)=6

3x=6-15

x=-9/3=-3

for y=3

3x-3y=6

3x-9=6

3x=15

x=5

Answer:

21=2w+2w+3    18=4w     w=4.5

The profit made in week 1 is 0.69 and week 2 is 0.71.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

A takeaway sells 10-inch pizzas and 12-inch pizzas.

From the table

For week 1:

Proportion= 509/ 736 = 0.69

and, week 2:

Proportion= 765/ 1076 = 0.71

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Answer:

100%

Step-by-step explanation:

Start with x.

x = x/1

Increase the numerator by 60% to 1.6x.

Decrease the numerator by 20% to 0.8.

The new fraction is

1.6x/0.8

Do the division.

1.6x/0.8 = 2x

The fraction increased from x to 2x. It became double of what it was. From x to 2x, the increase is x. Since x was the original number x is 100%.

The increase is 100%.

Answer:

33%

Step-by-step explanation:

let fraction be x/y

numerator increased by 60%

=x+60%ofx

=8x

denominator increased by 20%

=y+20%of y

so the increased fraction is 4x/3y

let the fraction is increased by a%

then

x/y +a%of (x/y)=4x/3y

or, a%of(x/y)=x/3y

[tex]a\% = \frac{x}{3y} \times \frac{y}{x} [/tex]

therefore a=33

anda%=33%

Answer:

-2n

Step-by-step explanation:

f(x)=7-2x {1,2}

f(1)=7-2(1)=5

f(2)=7-2(2)=3

Slope (m)=3/5

{7-2(1)}-{7-2(2)}=3-5=-2

In terms of n=-2n

The upper and lower sums for the region bounded by the graph of the function and the x-axis on the given interval is [5, 3]

Given the function of the graph bounded by the inteval [1, 2] expressed as

f(x) = 7 - 2x

The upper limit of the function is the point where the domain of the function x is 2. Substitute x = 2 into the function, we will have:

f(2) = 7 - 2(2)

f(2) = 7 - 4

f(2) = 3

For the lower limit, the domain of the function is at x = 2:

f(1) = 7 - 2(1)

f(1) = 7 - 2

f(1) = 5

Hence the upper and lower sums for the region bounded by the graph of the function and the x-axis on the given interval is [5, 3].

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Answer:

D

Step-by-step explanation:

Solution:-

The standard sinusoidal waveform defined over the domain [ 0 , 2π ] is given as:

                                   f ( x ) = sin ( w*x ± k ) ± b

Where,

                 w: The frequency of the cycle

                 k: The phase difference

                 b: The vertical shift of center line from origin

We are given that the function completes 2 cycles over the domain of [ 0 , 2π ]. The number of cycles of a sinusoidal wave is given by the frequency parameter ( w ).

We will plug in w = 2. No information is given regarding the phase difference ( k ) and the position of waveform from the origin. So we can set these parameters to zero. k = b = 0.

The resulting sinusoidal waveform can be expressed as:

                           f ( x ) = sin ( 2x )  ... Answer

Answer:

14000

Step-by-step explanation:

Of means multiply

10% * 140000

Change to decimal form

.10 * 140000

14000

Answer:

[tex]14000[/tex]

Step-by-step explanation:

[tex]10\% \times 140000[/tex]

[tex]\mathrm{Apply} \: a\% = \frac{a}{100}[/tex]

[tex]\frac{10}{100} \times 140000[/tex]

[tex]\mathrm{Apply} \: \frac{a}{100} \times b = \frac{ab}{100}[/tex]

[tex]\frac{1400000}{100}[/tex]

[tex]\mathrm{Simplify.}[/tex]

[tex]\frac{14000}{1} =14000[/tex]

Answer:

it we'll be 0.3

Step-by-step explanation:

trust me man I like to explain but it's long

Answer:

0.3 meter or 3/10 meter

Step-by-step explanation:

As there are 100cm in 1 meter and you want to find 30cm in terms of meters.

It will be as

100cm = 1 meter     (rule/lax)

100/100 cm = 1/100  meter   (divide both sides of equation with 100)

1 cm = 1/100 meter

1 *30 cm = (1/100)*30  meter    (multiply both sides with 30)

30 cm = 30/100 meter

30/100 more shortly can be written as  3/10 meter or in decimals 0.3 meter.

Answer:

a. 0.34885

b. 0.04651

c. 0.02404

d. 36

e. 14.7, say 15 trials

Step-by-step explanation:

Q17070205

Note:  

1. In order to be applicable to established probability distributions, each roll is considered a Bernouilli trial, i.e. has only two outcomes, success or failure, and are all independent of each other.

2. use R to find the probability values from the respective distributions.

a) the chance that the first 6 appears before the tenth roll

This means that a six appears exactly once between the first and the nineth roll.

Using binomial distribution, p=1/6, n=9, x=1

dbinom(1,9,1/6) = 0.34885

b) the chance that the third 6 appears on the tenth roll

This means exactly two six's appear between the first and 9th rolls, and the tenth roll is a six.

Again, we have a binomial distribution of p=1/6, n=9, x=2

p1 = dbinom(2,9,1/6) = 0.27908

The probability of the tenth roll being a 6 is, evidently, p2 = 1/6.

Thus the probability of both happening, by the multiplication rule, assuming independence  

P(third on the tenth roll) = p1*p2 = 0.04651

c) the chance of seeing three 6's among the first ten rolls given that there were six 6's among the first twenty roles.

Again, using binomial distribution, probability of 3-6's in the first 10 rolls,

p1 = dbinom(3,10,1/6) = 0.15504

Probability of 3-6's in the NEXT 10 rolls

p1 = dbinom(3,10,1/6) = 0.15504

Probability of both happening  (multiplication rule, assuming both events are independent)

= p1 *  p1 = 0.02404

d) the expected number of rolls until six 6's appear

Using the negative binomial distribution, the expected number of failures before n=6 successes, with probability p = 1/6

=  n(1-p)/p

Total number of rolls by adding n  

= n(1-p)/p + n = n(1-p+p)/p = n/p = 6/(1/6) = 36

e) the expected number of rolls until all six faces appear

P1 = 6/6 because the firs trial (roll) can be any face with probability 1

P2 = 6/5 because the second trial for a different face has probability 5/6, so requires 6/5 trials

P3 = 6/4 ...

P4 = 6/3

P5 = 6/2

P6 = 6/1

So the total mean (expected) number of trials is 6/6+6/5+6/4+6/3+6/2+6/1 = 14.7, say 15 trials

Answer:

x=12.5

Step-by-step explanation:

0.7x times (-1.4)=-3.5

-0.28x=-3.5 (divide both sides)

Ans:12.5

Answer:

C and D

Step-by-step explanation:

khan acedemy

An equation is formed when two equal expressions. The solutions to the given equation are A, B, and C.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution of the given equation v²=25/81 can be found as shown below.

v²=25/81

Taking the square root of both sides of the equation,

√(v²) = √(25/81)

v = √(25/81)

v = √(5² / 9²)

v = ± 5/9

Hence, the solutions of the given equation are A, B, and C.

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Answer:

perimeter = 12 miles

area = 6 square miles

Step-by-step explanation:

Since it makes a right triangle, use the Pythagorean Formula.

3^2+4^2=c^2

9+16=c^2

25=c^2

5=c, so the hypotenuse of the right triangle is 5.

Perimeter = 3+4+5 = 12 miles

area = 1/2bh (1/2 base times height)

=1/2x3x4

=6

Area = 6 square miles

Answer:

[tex]z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23[/tex]    

The p value would be given by:

[tex]p_v =2*P(z<-2.23)=0.0257[/tex]  

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

Step-by-step explanation:

Information given

[tex]\bar X=46.5[/tex] represent the mean

[tex]\sigma=1.1[/tex] represent the population standard deviation

[tex]n=150[/tex] sample size  

[tex]\mu_o =46.7[/tex] represent the value to verify

[tex]\alpha=0.05[/tex] represent the significance level for the hypothesis test.  

z would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to test if the true mean for this case is 46.7, the system of hypothesis would be:  

Null hypothesis:[tex]\mu = 46.7[/tex]  

Alternative hypothesis:[tex]\mu \neq 46.7[/tex]  

Since we know the population deviation the statistic is given by:

[tex]z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}[/tex]  (1)  

Replacing we got:

[tex]z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23[/tex]    

The p value would be given by:

[tex]p_v =2*P(z<-2.23)=0.0257[/tex]  

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

median=order them and find the middle=6

mean=add them all up and divide by the amount of numbers=(3+6+9+7+4+6+7+0 +7)/9=5.4

range= the difference between the smallest and largest number=9-3=6

mode= the one that appears the most= 7

The median, mean, range and mode will be 6, 5.4, 9 and 7.

The median is the number in the middle when arranged in an ascending order. The numbers will be:

0, 3, 4, 6, 6, 7, 7, 7, 9.

The median is 6.

The range is the difference between the highest and lowest number which is: = 9 - 0 = 9

The mode is the number that appears most which is 7.

The mean will be the average which will be:

= (0 + 3 + 4 + 6 + 6 + 7 + 7 + 7 + 9) / 9.

= 49/9

= 5.4

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Answer:

Increasing: [tex](0, 750)[/tex]

Decreasing: [tex](750, \infty)[/tex]

Step-by-step explanation:

Critical points:

The critical points of a function f(x) are the values of x for which:

[tex]f'(x) = 0[/tex]

For any value of x, if f'(x) > 0, the function is increasing. Otherwise, if f'(x) < 0, the function is decreasing.

The critical points help us find these intervals.

In this question:

[tex]P(x) = -0.004x^{2} + 6x - 5000[/tex]

So

[tex]P'(x) = -0.008x + 6[/tex]

Critical point:

[tex]P'(x) = 0[/tex]

[tex]-0.008x + 6 = 0[/tex]

[tex]0.008x = 6[/tex]

[tex]x = \frac{6}{0.008}[/tex]

[tex]x = 750[/tex]

We have two intervals:

(0, 750) and [tex](750, \infty)[/tex]

(0, 750)

Will find P'(x) when x = 1

[tex]P'(x) = -0.008x + 6 = -0.008*1 + 6 = 5.992[/tex]

Positive, so increasing.

Interval [tex](750, \infty)[/tex]

Will find P'(x) when x = 800

[tex]P'(x) = -0.008x + 6 = -0.008*800 + 6 = -0.4[/tex]

Negative, then decreasing.

Answer:

Increasing: [tex](0, 750)[/tex]

Decreasing: [tex](750, \infty)[/tex]

Answer:

[tex] 51.278 -2.896 \frac{22.979}{\sqrt{9}}= 29.096[/tex]

[tex] 51.278 +2.896 \frac{22.979}{\sqrt{9}}= 73.460[/tex]

And the interval would be:

[tex] (29.10 \leq \mu \leq 73.46)[/tex]

Step-by-step explanation:

For this problem we have the following dataset given:

44 32.8 59.2 31.4 12.7 68.5 84.7 72.5 55.7

We can find the mean and sample deviation with the following formulas:

[tex] \bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]

[tex] s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}[/tex]

And replacing we got:

[tex]\bar X= 51.278[/tex]

[tex] s= 22.979[/tex]

The confidence interval for the mean is given by:

[tex] \bar X \pm t_{\alpha/2} \frac{s}{\sqrt{n}}[/tex]

The degrees of freedom are:

[tex] df=n-1= 9-1=8[/tex]

The confidence would be 0.98 and the significance [tex]\alpha=0.02[/tex] then the critical value would be:

[tex] t_{\alpha/2}= 2.896[/tex]

Ad replacing we got:

[tex] 51.278 -2.896 \frac{22.979}{\sqrt{9}}= 29.096[/tex]

[tex] 51.278 +2.896 \frac{22.979}{\sqrt{9}}= 73.460[/tex]

And the interval would be:

[tex] (29.10 \leq \mu \leq 73.46)[/tex]

Answer:

The depreciated value of the car after 1 yr is ​$16,353

The depreciated value of the car after 2 yr is ​$12,264.75

Step-by-step explanation:

Given

purchase amount P= $21,804

rate of depreciation R= 25%

applying the formula for the car deprecation we have

[tex]A= P*(1-\frac{R}{100} )^n[/tex]

Where,

A is the value of the car after n years,

P is the purchase amount,

R is the percentage rate of depreciation per annum,

n is the number of years after the purchase.

1. The depreciated value of the car after 1 yr is ​

n=1

[tex]A= 21,804*(1-\frac{25}{100} )^1\\\\A= 21,804*(1-0.25 )^1\\\\A= 21,804*0.75\\\\A= 16353[/tex]

The depreciated value of the car after 1 yr is ​$16,353

2. The depreciated value of the car after 2 yr is ​

n=2

[tex]A= 21,804*(1-\frac{25}{100} )^2\\\\A= 21,804*(1-0.25 )^2\\\\A= 21,804*0.75^2\\\\A= 21,804*0.5625\\\\A= 12264.75[/tex]

The depreciated value of the car after 2 yr is ​$12,264.75

Answer:

y + 1 = 3x

Step-by-step explanation:

In order for there to be an infinite number of solutions, the two lines need to be the same.

y+1 = 3x

y=3x-1 are both the same

Answer:

a)y + 1 = 3x

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

fist you convert 6l to ml=6×1000

then,300/300:6000/300

gives you 1:20

Answer:

14

Step-by-step explanation:

3 1/2 × 4

Convert 3 1/2 to an improper fraction.

7/2 × 4

7/2 × 4/1

Multiply.

(7× 4) / (2 × 1)

28 / 2

= 14

Answer: 14

Step-by-step explanation: To multiply a mixed number times a whole number, first write each of them as an improper fraction.

So we can rewrite 3 and 1/2 as the improper fraction 7/2

and we can write 4 as the improper fraction 4/1.

If you've forgotten how to write a mixed number as an improper fraction, feel free to ask me below and I will review this with you.

So now we have 7/2 × 4/1.

When we're multiplying fractions, we want to

cross-cancel first whenever possible.

So here, notice that we can cross-cancel 2 and 4 to 1 and 2.

So we have 7/1 × 2/1.

Now we just multiply across the numerators and multiply across the denominators and we have our answer, 14/1 or just 14.

Answer:

  CPCTC

Step-by-step explanation:

Statements 3 and 4 show the top and bottom triangles are congruent, and the left and right triangles are congruent. Statement 5 is making use of these facts to claim that the alternate interior angles are congruent. This claim is valid because ...

  Corresponding Parts of Congruent Triangles are Congruent (CPCTC)