Carnival M charges an entrance fee of and per ticket for the rides. Carnival P charges an entrance fee of and per ticket for the rides. How many tickets must be purchased in order for the total cost at Carnival M and Carnival P to be the same?

Answer:

Statistical

Step-by-step explanation:

You need to collect data to determine the answer of that.

Answer:

Yes

Step-by-step explanation:

"How many apps do my classmates have on their phones?" This is a statistical question because a statistical question has to be a question that can be used to collect data. If the question was something like "How many apps does Melissa have on her phone?" it would NOT be a statistical question because it is only asking about one specific person and you wouldn't be collecting data.

I wasn't really sure how to explain it but I hope it makes sense! :)

Answer:

V=1.7 hours H=2 hours

Step-by-step explanation:

The difference between the amounts of interest Jacob and Christian paid for their loans is $552.

To calculate the amount of interest paid by Jacob and Christian, we can use the simple interest formula:

Interest = Principal x Rate x Time

Where,

Principal: the amount of the loan

Rate: the annual interest rate

Time: the duration of the loan in years

For Jacob's loan:

Principal = \(\$8,000\)

Rate = 4.2%

Time = 3 years

Interest = \(\$8,000 * 4.2\% * 3 = \$1,008\)

Therefore, Jacob paid $1,008 in interest.

For Christian's loan:

Principal = \(\$8,000\)

Rate = 3.9%

Time = 5 years

Interest = \(\$8,000 * 3.9\% * 5 = \$1,560\)

Therefore, Christian paid $1,560 in interest.

The difference between the amounts of interest Jacob and Christian paid for their loans is:

\(\$1,560 - \$1,008 = \$552\)

Therefore, the answer is D. \(\$552\).

Leaen more about interest here:

https://brainly.com/question/30955042

#SPJ1

Answer:

X=5

Exlanation

Correct option is C. Row 15 of pascal's triangle will be used.

Pascal's triangle:

                                              1                                            n = 0 , Row = 0

                                      1                 1                                  n = 1  , Row = 1

                             1               2                1                          n = 2 , Row = 2

                                               :

                                          .........

                                           .......

For n = 0, Row number 1

For n = 1,  Row number 2

For n = 2, Row number 3

We make pascal's triangle but sum of above two number, write below.

As we can see in pascal's triangle.

Exponent represent the number of row.

If binomial has exponent n then nth row of pascal's triangle use.

For

Here power is 15

So, we have to use 15 row of pascal's triangle.

Hence, Row 15 is correct

To learn more about Pascal's triangle from the given link

https://brainly.com/question/5305033

#SPJ4

Answer:

\(2.28*10^7\)

Step-by-step explanation:

\((2.4*10^3)(9.5*10^3)=(2.4*9.5)(10^3*10^3)=22.8*10^6=2.28*10^7\)

Answer:

228,000

Step-by-step explanation:

(2.4x10^3) x (9.5x10^3)

(2.4x100) x (9.5x100)

240x950

228,000

The value of a and b for the given polynomial function f(x)=(x-a)(x-b) are a= -1, 2 and b=2, -1.

A function is said to as polynomial when a variable in an equation, such as a quadratic equation or cubic equation, etc., has only positive integer exponents or non-negative integer powers. For instance, the polynomial 2x+5 has an exponent of 1. The zero polynomial function, linear polynomial function, quadratic polynomial function, and cubic polynomial function are the four most common types of polynomials in precalculus and algebra.

Given,

f(x)=(x-a)(x-b)

From the above graph, f(x) passes through points (2, 0), (-1, 0), (0, -2)

Let us take (2, 0)

(2-a)(2-b)=0

4-2b-2a+ab=0

(-1, 0)⇒(-1-a)(-1-b)=0

1+b+a+ab=0

(0, -2)⇒-2=(-a)(-b)

ab= -2

a= -2/b

4-2b-2a-2=0

-2a-2b+2=0

a+b-1=0

b²-2b+b-2=0

b(b-2)+1(b-2)=0

b= 2 or b= -1

a+2-1=0

a= -1

a-1-1=0

a=2

The value of a and b for the given polynomial function f(x)=(x-a)(x-b) are a= -1, 2 and b=2, -1.

To know more about polynomial function, visit:

https://brainly.com/question/12976257

#SPJ1

Answer:

Event A: 1/2

Event B: 5/8

The cost of eight ruler and three pens is le79.125.

Let's call the cost of a pen x and the cost of a ruler y. From the first statement, we can create the equation:

x + 3y = 29

And from the second statement:

6x + 2y = 48

That is dividing by 2, 3x + y = 24

Now we have two equations with two variables and can use substitution or elimination method to find the values of x and y.

Let's use substitution:

x = 29 - 3y

Substituting this into the second equation:

3(29 - 3y) + y = 24

87 - 9y + y = 24

8y = 63

y = 63/ 8

y = 7.875

Now that we have the value of y, we can use the first equation to find the value of x:

x = 29 - 3y = 29 - 3 * 63/8

= 5.375

So, a pen costs le5.375 and a ruler costs le7.875. To find the cost of 8 rulers and 3 pens, we multiply:

8 * 7.875 + 3 * 5.375 = le79.125

The cost of 8 rulers and 3 pens is le79.125.

--The question is incomplete, the complete question is as follows--

"The cost of a pen and three ruler is le29 while two ruler and six pen cost le48. Find the cost of eight ruler and three pen."

To know more on cost

https://brainly.com/question/28736021

#SPJ4

13 and 13√2 is the value of x and y in the given diagram

The given diagram is a right triangle, we need to determine the value of x and y.

Using the trigonometry identity

tan45 = opposite/adjacent
tan45 = x/13

x = 13tan45
x = 13(1)
x = 13

For the value of y

sin45 = x/y

sin45 = 13/y
y = 13/sin45

y = 13√2
Hence the exact value of x and y from the figure is 13 and 13√2 respectively.

Learn more on trigonometry identity here: https://brainly.com/question/24496175

#SPJ1

letter of i's/number of letters in the word

3/14

To find the probability that a participant selected at random found the products favorable, we can calculate the weighted average of the favorable responses from both the industry-sponsored and non-industry-funded studies.

For the industry-sponsored studies, 65% of participants found the products favorable, and for the non-industry-funded studies, 47% found the products favorable. Since there were 65 industry-sponsored studies and 35 non-industry-funded studies, the overall probability is:

(65/100) * 0.65 + (35/100) * 0.47 = 0.4225 + 0.1645 = 0.587 or 58.7%

If a randomly selected participant found the product favorable, we can use Bayes' theorem to calculate the probability that the study was sponsored by the food industry given this favorable response. The calculation is:

P(Industry-sponsored | Favorable) = (P(Favorable | Industry-sponsored) * P(Industry-sponsored)) / P(Favorable)

P(Favorable | Industry-sponsored) = 0.65

P(Industry-sponsored) = 65/100

P(Favorable) = 0.587

P(Industry-sponsored | Favorable) = (0.65 * (65/100)) / 0.587 ≈ 0.719 or 71.9%

Similarly, if a randomly selected participant found the product unfavorable, we can use Bayes' theorem to calculate the probability that the study had no industry funding given this unfavorable response. The calculation is:

P(No industry funding | Unfavorable) = (P(Unfavorable | No industry funding) * P(No industry funding)) / P(Unfavorable)

P(Unfavorable | No industry funding) = 0.36

P(No industry funding) = 35/100

P(Unfavorable) = 1 - P(Favorable) = 1 - 0.587 = 0.413

P(No industry funding | Unfavorable) = (0.36 * (35/100)) / 0.413 ≈ 0.305 or 30.5%

To learn more about Bayes' theorem - brainly.com/question/29598596

#SPJ11

Answer:

3+3+3+3

Step-by-step explanation:

Using the given sample data, a 95% confidence interval estimate for the proportion of engineers remaining in the profession can be calculated. The lower and upper limits of this confidence interval will provide a range within which the true proportion is likely to fall.

To construct a confidence interval for a proportion, we can use the formula:

CI = p^ +- Z * sqrt((p^ * (1 - p^)) / n)

Where:

CI = Confidence Interval

p^= Sample proportion (proportion of engineers remaining in the profession)

Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of approximately 1.96)

n = Sample size (number of graduates in the sample)

Given data:

Sample size (n) = 200

Number of engineers still employed (x) = 111

First, calculate the sample proportion (p^):

p^ = x / n

Substituting the values:

p^ = 111 / 200 = 0.555

Next, calculate the standard error:

SE = sqrt((p^ * (1 - p^)) / n)

Substituting the values:

SE = sqrt((0.555 * (1 - 0.555)) / 200)

Finally, calculate the lower and upper limits of the confidence interval:

Lower limit = p^ - Z * SE

Upper limit = p^ + Z * SE

Substituting the values:

Lower limit = 0.555 - 1.96 * SE

Upper limit = 0.555 + 1.96 * SE

The specific values for the standard error, lower limit, and upper limit can be calculated using the provided formulas.

Therefore, the lower and upper limits of the 95% confidence interval estimate for the proportion of engineers remaining in the profession can be determined using the calculated values.

know more about confidence interval: brainly.com/question/29680703

#SPJ11

The measure of the side 'x' is 16.31 m. The correct option is C.

Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles. It is a fundamental part of geometry that has many practical applications in fields such as physics, engineering, navigation, and surveying.

Given that in a right-angled triangle, the value of side RS is x, angle R is 25° and the side RT is 18 m.

The value of x will be calculated as,

sin65° = x / 18

x = 18 x sin65°

x = 16.31 m

Hence, the correct option is C.

To know more about trigonometry follow

https://brainly.com/question/31613548

#SPJ1

Answer:

origional price of $32.

marked up 10%- $3.20

new price- $35.20

Answer:

12

Step-by-step explanation:

have a good day n ily :)

To find the value of h′(5) for the function h(x)=f(x)⋅g(x), we will use the Product Rule. The Product Rule states that for two functions u(x) and v(x), the derivative of their product, (u⋅v)'(x), is given by:

(u⋅v)'(x) = u'(x)⋅v(x) + u(x)⋅v'(x)

In this case, u(x) = f(x) and v(x) = g(x). Using the given information:

u(5) = f(5) = 19
u'(5) = f'(5) = 12
v(5) = g(5) = 10
v'(5) = g'(5) = -13

Now, applying the Product Rule for h′(5):

h'(5) = f'(5)⋅g(5) + f(5)⋅g'(5)
h'(5) = (12)(10) + (19)(-13)
h'(5) = 120 - 247
h'(5) = -127

So, the value of h′(5) is -127.

To know more about function visit:

https://brainly.com/question/27982829

#SPJ11

The power series of the function 3/((x-2)(x+1)) is:

-3/4 - 1/4(x-2) + 1/4(x-2)² - 1/4(x-2)³- 1/2 - 1/2(x+1) - 1/2(x+1)² - 1/2(x+1)³ + ...

To find the power series of the function 3/((x-2)(x+1)), we first need to find the partial fraction decomposition of the function:

3/((x-2)(x+1)) = A/(x-2) + B/(x+1)

To solve for A and B, we need to find a common denominator on the right-hand side:

3 = A(x+1) + B(x-2)

Setting x = 2, we get:

3 = A(3)

A = 1

Setting x = -1, we get:

3 = B(-3)

B = -1

Therefore, we have:

3/((x-2)(x+1)) = 1/(x-2) - 1/(x+1)

Now we can use the formula for the geometric series:

1/(1 - t) = 1 + t + t²+ t³ + ...

to write the power series of each term in the partial fraction decomposition. Substituting t = x-2 for the first term and t = -x-1 for the second term, we get:

1/(x-2) = -1/4 - 1/4(x-2) + 1/4(x-2)² - 1/4(x-2)³ + ...

1/(x+1) = -1/2 - 1/2(x+1) - 1/2(x+1)² - 1/2(x+1)³ - ...

Combining the two series, we have:

3/((x-2)(x+1)) = -3/4 - 1/4(x-2) + 1/4(x-2)² - 1/4(x-2)³ - 1/2 - 1/2(x+1) - 1/2(x+1)² - 1/2(x+1)³ + ...

Therefore, the power series of the function 3/((x-2)(x+1)) is:

-3/4 - 1/4(x-2) + 1/4(x-2)² - 1/4(x-2)³- 1/2 - 1/2(x+1) - 1/2(x+1)² - 1/2(x+1)³ + ...

Learn more about power series

brainly.com/question/29896893

#SPJ11

Answer:

3460 m

Step-by-step explanation:

There are 1000 meters in a kilometer and since Doreen walks 3.46 km, she must walk 3460 m.

3.46 x 1000 = 3460

Answer:

3.46 km = 3.46*1000m = 3460 m

Using the given information in the diagram, we have proven that sin(B)/b = sin(C)/c

From the question, we are to prove that sin(B)/b=sin(C)/c

Consider the right triangle with sides a, c, and h

Using SOH CAH TOA, we can write that

sin(B) = h/c

∴ h = c × sin(B) --------- (1)

Also,

Consider the other right triangle

Using SOH CAH TOA, we can write that

sin(C) = h/b

∴ h = b × sin(C) ---------- (2)

Equate equations (1) and (2)

That is,

c × sin(B) = b × sin(C)

This can then be expressed as

sin(B)/b = sin(C)/c

Hence, the given expression is proven as shown above

Learn more on Proving the Sine rule here: https://brainly.com/question/12271113

#SPJ1

Answer:

Domain is Set of all real numbers

Step-by-step explanation:

1. Domain : It is the set of values for which our function is defined and it gives some value of f(x) for every value of x in it.

Answer:

2x+5+[6/(x+4)]

r(x)=6 and q(x)= 2x+5

Step-by-step explanation:

(2x^2)+13x +26)/(x+4) =

2x+5+[6/(x+4)]

r(x)=6 and q(x)= 2x+5

using polynomial calculator

The expression equivalent to the given expression is the third expression which is 0.75c.

What are equivalent expression?

Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.

We are given an expression as c - 0.25c.

Since, the expression contains like variables so, taking the difference of the terms, we get

c - 0.25c = 0.75c

This means that the third expression is equivalent to the given expression.

Hence, the expression equivalent to the given expression is the third expression which is 0.75c.

Learn more about equivalent expressions from the given link

https://brainly.com/question/30154141

#SPJ1

Answer:

hope it will help you Mark me as a brilliant

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

ok so its confusing

5 tomatoes = 1 head of lettuce

2 heads of lettuce = 10 tomatoes

2 tomatoes = 1/20 pound of bacon

2x5=10

1/20x5/1=5/20=1/4

1/4 a pound of baon

.75(3/4

-----------

.25(1/4)

3

1/4 a pound of bacon

a heck of alot of cholesterol

and 3 BLT sandwiches.

and a lot of clogged arteries  

a) fractions; 15.3/3

b) yes, it is a rational number

The volume of this right prism is equal to 378 cm³.

Given the following data:

Height = 14 cm.

Altitude (HA) = 6 cm.

Length of side AB = 9 cm.

The volume of a right prism.

Volume = base area × height

Next, we would determine the area of the triangle (∆ABC) at the base of the right prism as follows:

Base area = 1/2 × (9 × 6)

Base area = 1/2 × 54

Base area = 27 cm².

Now, we can calculate the volume of this right prism:

Volume = base area × height

Volume = 27 × 14

Volume = 378 cm³.

Read more on right prism here: brainly.com/question/3867601

#SPJ4

Answer:

The volume of the prism is 378cm^3

Step-by-step explanation:

14x9x6/2 = 378