Hal bought 5 pencils for $0.56 each.How much did he pay in total?

Isaac goes to an amusement park where tickets for the rides cost $10 per sheet and tickets for the shows cost $15 each.

Digiron [165]

Yeah the tickets is over-priced. Sure the question is not missing ?

7 0

4 years ago

Read 2 more answers

The cost of renting a chain saw is $3.90 per hour plus $6.50 for a cán

puteri [66]

35.75
explanation-
3.90 ph x 7.5 hours = 29. 25
plus the gas can 6.50
29.25+6.50= 35.75

5 0

3 years ago

In a binomial distribution, n = 8 and π=0.36. Find the probabilities of the following events. (Round your answers to 4 decimal p

skelet666 [1.2K]

Answer:

$\mathbf{P(X=5) =0.0888}$

P(x ≤ 5 ) = 0.9707

P ( x ≥ 6) = 0.0293

Step-by-step explanation:

The probability of a binomial mass distribution can be expressed with the formula:

$\mathtt{P(X=x) =(^{n}_{x} ) \ \pi^x \ (1-\pi)^{n-x}}$

$\mathtt{P(X=x) =(\dfrac{n!}{x!(n-x)!} ) \ \pi^x \ (1-\pi)^{n-x}}$

where;

n = 8 and π = 0.36

For x = 5

The probability $\mathtt{P(X=5) =(\dfrac{8!}{5!(8-5)!} ) \ 0.36^5 \ (1-0.36)^{8-5}}$

$\mathtt{P(X=5) =(\dfrac{8!}{5!(3)!} ) \ 0.36^5 \ (0.64)^{3}}$

$\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 \times 5!}{5!(3)!} ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 }{3 \times 2 \times 1} ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =({8 \times 7 } ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =0.0887645}$

$\mathbf{P(X=5) =0.0888}$ to 4 decimal places

b. x ≤ 5

The probability of P ( x ≤ 5) $\mathtt{P(x \leq 5) = P(x = 0)+ P(x = 1)+ P(x = 2)+ P(x = 3)+ P(x = 4)+ P(x = 5})$

${P(x \leq 5) = ( \dfrac{8!}{0!(8!)} \times (0.36)^0 \times (1-0.36)^8 \ ) + \dfrac{8!}{1!(7!)} \times (0.36)^1 \times (1-0.36)^7 \ +$ $\dfrac{8!}{2!(6!)} \times (0.36)^2 \times (1-0.36)^6 \ + \dfrac{8!}{3!(5!)} \times (0.36)^3 \times (1-0.36)^5 + \dfrac{8!}{4!(4!)} \times (0.36)^4 \times (1-0.36)^4 \ + \dfrac{8!}{5!(3!)} \times (0.36)^5 \times (1-0.36)^3 \ )$

P(x ≤ 5 ) = 0.0281+0.1267+0.2494+0.2805+0.1972+0.0888

P(x ≤ 5 ) = 0.9707

c. x ≥ 6

The probability of P ( x ≥ 6) = 1 - P( x ≤ 5 )

P ( x ≥ 6) = 1 - 0.9707

P ( x ≥ 6) = 0.0293

4 0

3 years ago

Your brother is 1313 your age. Your sister is 6 years older than your brother. Your sister is 10 years old. Write and solve an e

il63 [147K]

There seems to be a typo. You wrote 1313, but I'm assuming you meant to say the fraction 1/3. If this assumption is correct, then continue with the rest of the solution. If the assumption is not correct, then ignore what I wrote below and please provide clarification of what the "1313" should represent. Thank you.

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

B = your brother's age

S = your sister's age

Y = your age

All of these ages are current present day ages.

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

"your brother is 1/3 your age" so B = (1/3)Y or B = Y/3.

"Your sister is 6 years older than your brother" so S = B+6

"Your sister is 10 years old" so S = 10.

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

S = B+6

B+6 = S

B+6 = 10 ... plug in S = 10

B+6-6 = 10-6 ... subtract 6 from both sides

B = 4

Your brother is 4 years old.

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

B = Y/3

Y/3 = B

Y/3 = 4 .... plug in B = 4

3(Y/3) = 3*4 ... multiply both sides by 3

Y = 12

<h3>Answer: Your age is 12 years old.</h3>

note: This answer hinges on assumption that the "1313" should be "1/3".

6 0

4 years ago

In circle O, what is mArc A E?

posledela

Answer:

Option (3). 120° will be the answer.

Step-by-step explanation:

By using the theorem of secants intersecting externally,

Measure of angle formed by two secants, from a point outside the circle is half the difference of the measures of the intercepted arcs.

m∠C = $\frac{1}{2}(m\widehat{AE}-m\widehat{BD})$

36° = $\frac{1}{2}(m\widehat{AE}-48)$

72° = $m\widehat{AE}-48$ °

$m\widehat{AE}$ = 72 + 48

$m\widehat{AE}$ = 120°

Therefore, Option (3) is the answer.

7 0

3 years ago