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gogolik [260]
2 years ago
12

Tamara borrowed $6,000 at 6% and ended up paying $900 in simple interest.For how long was the loan?

Mathematics
1 answer:
Elden [556K]2 years ago
3 0

Answer:

For how long was the loan? For 6 1/2month

Step-by-step explanation:

Loan % int.anual % int.peri. Interest Loan+interest M.Payme N

6000 6%             0,0089  53,531 6053,53          900 6 1/2month.

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2.A production process manufactures items with weights that are normally distributed with mean 10 pounds and standard deviation
Vesna [10]

Answer:

Step-by-step explanation:

Given that:

population mean = 10

standard deviation = 0.1

sample mean = 9.8 < x > 10.2

The z score can be computed as:

z = \dfrac{\bar x - \mu}{\sigma}

if x > 10.2

z = \dfrac{10.2- 10}{0.1}

z = \dfrac{0.2}{0.1}

z = 2

If x < 9.8

z = \dfrac{9.8- 10}{0.1}

z = \dfrac{-0.2}{0.1}

z = -2

The p-value = P (z ≤ 2) + P (z ≥ 2)

The p-value = P (z ≤ 2) + ( 1 -  P (z ≥ 2)

p-value = 0.022750 +(1 -   0.97725)

p-value = 0.022750 +  0.022750

p-value = 0.0455

Therefore; the probability of defectives  = 4.55%

the probability of acceptable = 1 - the probability of defectives

the probability of acceptable = 1 - 0.0455

the probability of acceptable = 0.9545

the probability of acceptable = 95.45%

4.55% are defective or 95.45% is acceptable.

sampling distribution of proportions:

sample size n=1000

p = 0.0455

The z - score for this distribution at most 5% of the items is;

z = \dfrac{0.05 - 0.0455}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}

z = \dfrac{0.0045}{\sqrt{\dfrac{0.04342975}{1000}}}

z = \dfrac{0.0045}{\sqrt{4.342975 \times 10^{-5}}}

z = 0.6828

The p-value = P(z ≤ 0.6828)

From the z tables

p-value = 0.7526

Thus, the probability that at most 5% of the items in a given batch will be defective = 0.7526

The z - score for this distribution for at least 85% of the items is;

z = \dfrac{0.85 - 0.9545}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}

z = \dfrac{-0.1045}{\sqrt{\dfrac{0.04342975}{1000}}}

z = −15.86

p-value = P(z ≥  -15.86)

p-value = 1 - P(z <  -15.86)

p-value = 1 - 0

p-value = 1

Thus, the probability that at least 85% of these items in a given batch will be acceptable = 1

6 0
2 years ago
I’m genuinely too lazy to figure it out
wlad13 [49]

Answer:

56 mph

Step-by-step explanation:

336 = 300 and 36

  • That's makes it mental math

300/60 = 50 + 36/6 = 6

6 0
3 years ago
Read 2 more answers
What must be included in a algebraic expression?
damaskus [11]

Answer:

Variable (or coefficients)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Prove<br><br> that BUGS is a trapezoid with coordinates B(-2,-1), U(0,3), G(3,2) and S(4,-3).
telo118 [61]

Answer:

Proved

Step-by-step explanation:

Given

B =(-2,-1)

U = (0,3)

G = (3,2)

S = (4,-3)

Required

Prove BUGS is a trapezoid

Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.

<u></u>

<u>Taking BU and GS as a pair</u>

First, we calculate the slope using:

m = \frac{y_2 - y_1}{x_2 - x_1}

For BU

B =(-2,-1) --- (x_1,y_1)

U = (0,3) --- (x_2,y_2)

So, we have:

m = \frac{3 - -1}{0- -2}

m = \frac{4}{2}

m = 2

For GS

G = (3,2) --- (x_1,y_1)

S = (4,-3) --- (x_2,y_2)

So, we have:

m = \frac{-3-2}{4-3}

m = \frac{-5}{1}

m = -5

<em>The slope of BU and GS are not the same; hence, they are not parallel.</em>

<u>Taking BS and GU as a pair</u>

Calculate the slope

For BS

B =(-2,-1) --- (x_1,y_1)

S = (4,-3) --- (x_2,y_2)

So, we have:

m = \frac{-3 - -1}{4- -2}

m = \frac{-2}{6}

m = -\frac{1}{3}

For GU

G = (3,2) --- (x_1,y_1)

U = (0,3) --- (x_2,y_2)

So, we have:

m = \frac{3-2}{0-3}

m = \frac{1}{-3}

m = -\frac{1}{3}

The slope of BS and GU are the same; hence, they are parallel.

<em>BUGS is a trapezoid because BS and GU have the same slope</em>

8 0
3 years ago
1) A survey asked the question, “Do you think a vaccination should be mandatory to enter
erastova [34]
  • a) An observation.
  • b) A variable.
  • c) A population parameter.
  • d) A sample statistic.

Given that a survey asked the question, "Do you think a vaccination should be mandatory to enter shopping areas?" to a random sample of 1068 Jordanians, and the results showed that 71.2% responded that vaccination should mandatory, to determine which of the following is an observation, a variable, a sample statistic (value calculated based on the observed sample), or a population parameter, the following statistical reasoning must be performed:

(a) A Jordanian that was asked the question.

-An observation, as the person questioned is part of the study and therefore, it is an individual observation that makes up the trend.

(b) The response of the Jordanian.

-A variable, since it is one of the two possible answers that the survey has.

(c) 71.2%.

-A population parameter, because it represents a specific percentage with respect to the total population.

(d) The percentage of all Jordanians who agreed with the statement that vaccination should be mandatory to enter shopping areas.

-A sample statistic, since it is a statistical element that arises from the survey.

Learn more in brainly.com/question/17716064

5 0
2 years ago
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