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Marta_Voda [28]

3 years ago

11

To his best costumers, Lyle gives away 26 basketball tickets and 22 symphony tickets. The basketball tickets cost $19.25 each an

d the symphony tickets cost$23.25 each. By how much did lyle exceed his $1000 budget

1 answer:

makvit [3.9K]3 years ago

5 0

Answer:

$12

Step-by-step explanation:

Cost of basketball tickets will be 26*$19.25=$500.5

Cost of symphony tickets will be 22*$23.25=$511.5

Total cost incurred will be $500.5+511.5=$1012

Budget was $1000

Extra money past budget will be $1012-$1000=$12

Therefore, Lyle exceeded budget by $12

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Jane must get at least three of the four problems on the exam correct to get an A. She has been able to do 80% of the problems o

NISA [10]

Answer:

a) There is n 81.92% probability that she gets an A.

b) If she gets the first problem correct, there is an 89.6% probability that she gets an A.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the answer is correct, or it is not. This means that we can solve this problem using binomial distribution probability concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

For this problem, we have that:

The probability she gets any problem correct is 0.8, so $\pi = 0.8$ .

(a) What is the probability she gets an A?

There are four problems, so $n = 4$

Jane must get at least three of the four problems on the exam correct to get an A.

So, we need to find $P(X \geq 3)$

$P(X \geq 3) = P(X = 3) + P(X = 4)$

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 3) = C_{4,3}.(0.80)^{3}.(0.2)^{1} = 0.4096$

$P(X = 4) = C_{4,4}.(0.80)^{4}.(0.2)^{0} = 0.4096$

$P(X \geq 3) = P(X = 3) + P(X = 4) = 2*0.4096 = 0.8192$

There is n 81.92% probability that she gets an A.

(b) If she gets the first problem correct, what is the probability she gets an A?

Now, there are only 3 problems left, so $n = 3$

To get an A, she must get at least 2 of them right, since one(the first one) she has already got it correct.

So, we need to find $P(X \geq 2)$

$P(X \geq 3) = P(X = 2) + P(X = 3)$

$P(X = 2) = C_{3,2}.(0.80)^{2}.(0.2)^{1} = 0.384$

$P(X = 4) = C_{3,3}.(0.80)^{3}.(0.2)^{0} = 0.512$

$P(X \geq 3) = P(X = 2) + P(X = 3) = 0.384 + 0.512 = 0.896$

If she gets the first problem correct, there is an 89.6% probability that she gets an A.

3 0

4 years ago

Barry wants to take out a loan from his bank for $1,000 to buy a bicycle. The interest rate on the loan from the bank is 9%. He

tekilochka [14]

Answer:

The amount that Barry would pay in interest for his loan is $15.05.

Step-by-step explanation:

To calculate this, we first calculate the monthly required fixed payment using the formula for calculating loan amortization as follows:

P = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (1)

Where,

P = Monthly required fixed payment = ?

A = Loan amount = $1,000

r = monthly interest rate = 9% / 12 = 0.09 / 12 = 0.0075

n = number of payment months = 3

Substituting all the figures into equation (1), we have:

P = ($1,000 * (0.0075 * (1 + 0.0075)^3)) / (((1 + 0.0075)^3) - 1)

P = $338.35

Therefore, we have:

Total repayment = P * 3 months = $338.35 * 3 = $1,015.05

Interest amount = Total repayment - Loan principal = $1,015.05 - $1,000 = $15.05.

Therefore, the amount that Barry would pay in interest for his loan is $15.05.

3 0

3 years ago

If you use the addition property of equality , what number would you add to both sides of the equal sign to isolate the variable

kkurt [141]

Answer:

The answer is " $\frac{26}{7}$ "

Step-by-step explanation:

The whole question can be found in the file attached.

$\to x + \frac{5}{7} = \frac{31}{7}\\\\$

Subtracting the $\frac{5}{7}$ from both sides of the equations:

$\to x +\frac{5}{7} - \frac{5}{7} = \frac{31}{7} - \frac{5}{7} \\\\$

$= \frac{31-5}{7} \\\\= \frac{26}{7} \\\\$

5 0

3 years ago

Calculate the value of 3a – 4b + 6c – 3d, when <br> a = 5 b = 4 c = 3 d = 2

Ne4ueva [31]

Answer:

3a – 4b + 6c – 3d

when a = 5 b = 4 c = 3 d = 2

the value

= 3×5 - 4×4 + 6×3 - 3×2

=15-16+18-6

=11

3 0

2 years ago

Need help on numbers 10 and 11 please!! sos

Harlamova29_29 [7]

Volume of prism B=800*6³/8³
=800*27/64
=25*27/2
=575/2
=287.5 cm³

5 0

3 years ago