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2 years ago

13

Janice spent $54 to buy some pairs of pants. Each pair of pants cost the same whole dollar amount. How many pairs of pants could

she have bought

1 answer:

Naddika [18.5K]2 years ago

7 0

6 pants @ $ 9 each. Or 9 pants @ $ 6 each.

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Of all the weld failures in a certain assembly, 85% of them occur in the weld metal itself, and the remaining 15% occur in the b

Aloiza [94]

Answer:

a.) 0.1028

b.) 0.6477

c.) 0.0388

d.) 3

e.) 2.55

Step-by-step explanation:

Forming a binomial Probability distribution

n = 20

Probability of success for Weld metal failure = 85%

Probability of success for base metal failure = 15%

We use the probabilit distribution formula of combination to solve the problem.

P(x=r) = nCr * p^r * q^n-r

a.) if exactly 5 are base metal failures, then p = 15 and our solution becomes:

P(x=5) = 20C5 * 0.15^5 * 0.85^15

P(x=5) = 0.1028

b.) probability that fewer than 4 are base metal failure= P(x=0) + P(x=1) + P(x=2) + P(x=3)

P(x=0) = 20C0 * 0.15^0 * 0.85^20 = 0.0388

P(x=1) = 20C1 * 0.15¹ * 0.85^19 = 0.1368

P(x=2) = 20C2 * 0.15² * 0.85^18 = 0.2293

P(x=3) = 20C3 * 0.15³ * 0.85^17 = 0.2428

Probability that fewer than 4 are base metal failures becomes: 0.038 + 0.1368 + 0.2293 + 0.2428 = 0.6477

c.) probability that none of them are results of base metal failure = P(x=0). As earlier calculated,

P(x=0) = 0.0388

d.) mean of base metal failures = np = 20*0.15 = 3

e.) standard deviation of base metal failures = √np(1-p)

=3 * (1 - 0.15) = 3 * 0.85

= 2.55

4 0

2 years ago

Aarti bought a square shaped table cloth for her home the side of the table cloth measures 2 1/3m what is the area of the table

PSYCHO15rus [73]

Answer:

Area of table cloth = 49/9 m² or 5.44 m²

Step-by-step explanation:

Given:

Side of table cloth = $2\frac{1}{3}m$ = 7/3 m

Shape of cloth is square

Find:

Area of table cloth

Computation:

Area of square = side²

So,

Area of table cloth = side²

Area of table cloth = (7/3)²

Area of table cloth = 49/9 m² or 5.44 m²

3 0

1 year ago

Maya's unpaid balance is $205.16. Her apr is 14.4% and she has $82.10 in new transactions what a her new balance?

Mila [183]

Answer:

New balance = $316.8

Step-by-step explanation:

Given : Maya's unpaid balance is $205.16. Her APR is 14.4% and she has $82.10 in new transactions.

To find : What is her new balance?

Solution : First we find out the finance charge

Unpaid balance = $205.16

Finance rate = 14.4%

Finance charge = Unpaid balance × finance rate

$=205.16\times \frac{14.4}{100}=29.54$

Finance charge = $29.54

New purchase = $82.10

New balance = Unpaid balance + finance charge + new purchase

New balance = $205.16 + $29.54 + $82.10

New balance = $316.8

7 0

2 years ago

Read 2 more answers

5. Whitney deposits $9,000 for 2 years. She compares two different banks. State

Volgvan

Answer:

a. $ 381.969,

b. $ 369.171,

c. Kings Savings

d. Reliability.

Step-by-step explanation:

∵ Amount formula in compound interest,

$A=P(1+r)^t$

And, amount formula in continuously,

$A=Pe^{rt}$ ,

Where,

P = principal amount,

r = rate per periods,

t = number of periods,

a. In State bank,

P = $ 9000, r = 2.1% = 0.021, t = 2 years,

Also, interest earned compound annually,

Thus, amount,

$A=9000(1+0.021)^2 = 9000(1.021)^2 = \$ 9381.969$

So, interest earned = A - P = 9381.969 - 9000 = $ 381.969,

b. In Kings Savings,

P = $ 9000, r = 2.01% = 0.0201, t = 2 years,

Also, interest earned compound continuously,

Thus, amount,

$A=9000e^{0.0201\times 2} = \$ 9369.171$

So, interest earned = A - P = 9369.171 - 9000 = $ 369.171,

c. ∵ 369.171 > 381.969

Thus, King saving pays higher interest.

d. Since, the other factors might affect Whitney's choice besides interest would be reliability.

5 0

2 years ago

The mini muffins company bakes 1872 muffins the large mini muffin boxes hold a dozen muffins how many large boxes are needed to

lilavasa [31]

Answer:

To pack 1872 muffins the mini muffins company needs 156 large boxes.

Step-by-step explanation:

Number of muffins baked by the mini muffins company = 1872.

the large mini muffin boxes hold a dozen muffins that is the large box contains 12 muffins.( 1 Dozen = 12 )

We have to find the number of large boxes needed to pack 1872 muffins.

Using unitary method,

12 muffins is contained in 1 large box.

1 muffin is contained in $\frac{1}{12}$ large box.

1872 muffins contained in $\frac{1}{12} \times 1872=156$ large boxes.

Hence, To pack 1872 muffins the mini muffins company needs 156 large boxes.

6 0

2 years ago