All categories

3 years ago

I Need help with this ASAP

Mathematics

1 answer:

REY [17]3 years ago

3 0

Answer:

Step-by-step explanation:

3x - 42 = 2x + 9

x - 42 = 9

x = 51

You might be interested in

<img src="https://tex.z-dn.net/?f=%20%7B6m%7D%5E%7B3%20%7D%20%20n%20%7B%7D%5E%7B3%7D%20%20%5Ctimes%208m%20%7B%7D%5E%7B2%7D%20n%5

just olya [345]

Answer:

$48 {m}^{5} {n}^{6}$

Step-by-step explanation:

$6{m}^{3} {n}^{3} \times 8 {m}^{2} {n}^{3}$

$8 \times 6 = 48$

$6{m}^{3} {n}^{3} \times 8 {m}^{2} {n}^{3} = 48 {m}^{3 + 2} {n}^{3 + 3}$

Therefore

$48 {m}^{5} {n}^{6}$

5 0

3 years ago

What is the present value of $4,900 per year at a discount rate of 10 percent if the first payment is received 6 years from now

Nesterboy [21]

Answer:

17640

Step-by-step explanation:

at a discount of 10% per year $4900 is equal to $490 per year

payment started 6 years ago from now and ended 20 years from now

therefore there is an accumulation of 26 years

for 26 years = 26 *$490= $12740

present value therefore = $4900+$12740=$ 17640

4 0

3 years ago

Customers arrivals at a checkout counter in a department store per hour have a Poisson distribution with parameter λ = 7. Calcul

IgorLugansk [536]

Answer:

(1)14.9% (2) 2.96% (3) 97.04%

Step-by-step explanation:

Formula for Poisson distribution: $P(k) = \frac{\lambda^ke^{-k}}{k!}$ where k is a number of guests coming in at a particular hour period.

(1) We can substitute k = 7 and $\lambda = 7$ into the formula:

$P(k=7) = \frac{7^7e^{-7}}{7!}$

$P(k=7) = \frac{823543*0.000911882}{5040} = 0.149 = 14.9\%$

(2)To calculate the probability of maximum 2 customers, we can add up the probability of 0, 1, and 2 customers coming in at a random hours

$P(k\leq2) = P(k=0)+P(k=1)+P(k=2)$

$P(k\leq2) = \frac{7^0e^{-7}}{0!} + \frac{7^1e^{-7}}{1!} + \frac{7^2e^{-7}}{2!}$

$P(k \leq 2) = \frac{0.000911882}{1} + \frac{7*0.000911882}{1} + \frac{49*0.000911882}{2}$

$P(k\leq2) = 0.000911882+0.006383174+0.022341108 \approx 0.0296=2.96\%$

(3) The probability of having at least 3 customers arriving at a random hour would be the probability of having more than 2 customers, which is the invert of probability of having no more than 2 customers. Therefore:

$P(k\geq 3) = P(k>2) = 1 - P(k\leq2) = 1 - 0.0296 = 0.9704 = 97.04\%$

4 0

3 years ago

PLS HELPPP WILL AWARD BRAINLIEST!

AfilCa [17]

Answer: Red is 0.18 And Blue is 0.68

Step-by-step explanation:

Look at sizes and comparisons between the sizes and all together should add to 1

4 0

3 years ago

Read 2 more answers

A Family has five children . The probability of having a girl is 1/2. What is the probability of having 2 girls followed by 3 bo

NeTakaya

Probability of having a girl: 1/2
Probability of having another girl right after: 1/2
Probability of having a boy right after: 1/2
Then another boy: 1/2
And a third boy: 1/2

To find compound probabilities, just multiply them together.

$\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2} = \frac{1}{2*2*2*2*2} =\frac{1}{32} = \boxed{0.031}\ in\ decimal\ form$

4 0

3 years ago