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Sonja [21]
3 years ago
5

The cereal box shown below is a rectangular prism.

Mathematics
1 answer:
faltersainse [42]3 years ago
6 0

Answer:580cm

Step-by-step explanation:

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Solve using order of operation <br>-3x2 + (-10)÷(-2)=​
timama [110]

Answer:

-1

Step-by-step explanation:

10/2=5+ -3*2=-1

7 0
3 years ago
Can ya'll answer this question?​
diamong [38]
The third fin is the answer.
3 0
3 years ago
The amount of syrup that people put on their pancakes is normally distributed with mean 63 mL and standard deviation 13 mL. Supp
andreyandreev [35.5K]

Answer:

(a) X ~ N(\mu=63, \sigma^{2} = 13^{2}).

    \bar X ~ N(\mu=63,s^{2} = (\frac{13}{\sqrt{43} } )^{2}).

(b) If a single randomly selected individual is observed, the probability that this person consumes is between 61.4 mL and 62.8 mL is 0.0398.

(c) For the group of 43 pancake eaters, the probability that the average amount of syrup is between 61.4 mL and 62.8 mL is 0.2512.

(d) Yes, for part (d), the assumption that the distribution is normally distributed necessary.

Step-by-step explanation:

We are given that the amount of syrup that people put on their pancakes is normally distributed with mean 63 mL and a standard deviation of 13 mL.

Suppose that 43 randomly selected people are observed pouring syrup on their pancakes.

(a) Let X = <u><em>amount of syrup that people put on their pancakes</em></u>

The z-score probability distribution for the normal distribution is given by;

                      Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = mean amount of syrup = 63 mL

            \sigma = standard deviation = 13 mL

So, the distribution of X ~ N(\mu=63, \sigma^{2} = 13^{2}).

Let \bar X = <u><em>sample mean amount of syrup that people put on their pancakes</em></u>

The z-score probability distribution for the sample mean is given by;

                      Z  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = mean amount of syrup = 63 mL

            \sigma = standard deviation = 13 mL

            n = sample of people = 43

So, the distribution of \bar X ~ N(\mu=63,s^{2} = (\frac{13}{\sqrt{43} } )^{2}).

(b) If a single randomly selected individual is observed, the probability that this person consumes is between 61.4 mL and 62.8 mL is given by = P(61.4 mL < X < 62.8 mL)

   P(61.4 mL < X < 62.8 mL) = P(X < 62.8 mL) - P(X \leq 61.4 mL)

  P(X < 62.8 mL) = P( \frac{X-\mu}{\sigma} < \frac{62.8-63}{13} ) = P(Z < -0.02) = 1 - P(Z \leq 0.02)

                                                           = 1 - 0.50798 = 0.49202

  P(X \leq 61.4 mL) = P( \frac{X-\mu}{\sigma} \leq \frac{61.4-63}{13} ) = P(Z \leq -0.12) = 1 - P(Z < 0.12)

                                                           = 1 - 0.54776 = 0.45224

Therefore, P(61.4 mL < X < 62.8 mL) = 0.49202 - 0.45224 = 0.0398.

(c) For the group of 43 pancake eaters, the probability that the average amount of syrup is between 61.4 mL and 62.8 mL is given by = P(61.4 mL < \bar X < 62.8 mL)

   P(61.4 mL < \bar X < 62.8 mL) = P(\bar X < 62.8 mL) - P(\bar X \leq 61.4 mL)

  P(\bar X < 62.8 mL) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{62.8-63}{\frac{13}{\sqrt{43} } } ) = P(Z < -0.10) = 1 - P(Z \leq 0.10)

                                                           = 1 - 0.53983 = 0.46017

  P(\bar X \leq 61.4 mL) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } \leq \frac{61.4-63}{\frac{13}{\sqrt{43} } } ) = P(Z \leq -0.81) = 1 - P(Z < 0.81)

                                                           = 1 - 0.79103 = 0.20897

Therefore, P(61.4 mL < X < 62.8 mL) = 0.46017 - 0.20897 = 0.2512.

(d) Yes, for part (d), the assumption that the distribution is normally distributed necessary.

4 0
3 years ago
You are buying a house that cost 650,000 and you put down a down payment. you take out a loan for the remainder of the amount, o
gayaneshka [121]
<h3>Answers:</h3>

Monthly Payment = $4,702.68

Total Payments = $846,482.40

Interest = $261,482.40

Delete the dollar signs and/or commas if needed.

=====================================================

Explanation:

The down payment is 10% of the home's value

This means that the buyer pays $65,000 up front (since 0.10*650,000 = 65,000).

The remaining 650,000 - 65,000 = 585,000 dollars is loaned in the mortgage.

Or you could write it like this 95% of 650,000 = 0.95*650,000 = 585,000

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

The monthly payment formula is

P = (L*i)/( 1-(1+i)^(-n) )

where,

  • P = monthly payment
  • L = amount loaned
  • i = interest rate per month in decimal form
  • n = number of months

In this case,

  • L = 585,000 dollars
  • i = 0.0525/12 = 0.004375 exactly
  • n = 15*12 = 180 months (equivalent to 15 years)

So,

P = (L*i)/( 1-(1+i)^(-n) )

P = (585000*0.004375)/( 1-(1+0.004375)^(-180) )

P = 4702.6846353538

P = 4702.68

The monthly payment is $4,702.68

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

Let's now compute the total amount paid back (principal + interest)

If you pay 4,702.68 dollars per month over the course of 180 months, then you pay back a total of 4702.68*180 = 846,482.40

The total payments add up to 846,482.40 dollars.

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

To compute the interest only, subtract the total payments from the amount loaned.

846,482.40 - 585,000 = 261,482.40 is the amount of interest only.

8 0
2 years ago
Which inequality represents all the solutions of -5x + 5 ≥ 160 − 10x? A. x ≤ -33 B. x ≥ 33 C. x ≥ 31 D. x ≤ 31
ikadub [295]

Answer:

The answer is B.

Step-by-step explanation:

Solve for x.

-5x + 5 \geq 160 - 10x

Add 10x to both sides, and subtract 5 from both sides.

5x \geq 155

Now, divide by 5.

x \geq 31          is the answer

#teamtrees #WAP (Water And Plant)

3 0
3 years ago
Read 2 more answers
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