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Gala2k [10]
3 years ago
11

What is the area of the parallelogram (a) 168s sq inches b) 140 sq inches c) 130 sq inches d) 120 sq inches

Mathematics
1 answer:
irina [24]3 years ago
4 0

Answer:

Step-by-step explanation:

Area of a parallelogram is given as the multiplication of its length by that of its height or breadth, however you call it.

In this question, you didn't state the length nor the breadth or height. You just listed the answers. It's very hard knowing the answer without having its dimensions. However, I can tell you that on the diagram or drawing you have there with you, multiply the two distance given to you together, it ought to give you one of the four options you listed above. Be it 168, 140, 130 or even 120 square inches.

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A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true
kvv77 [185]

Answer:

99.74% probability that the sample proportion will be less than 0.1

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 276, p = 0.06

So

\mu = E(X) = np = 276*0.06 = 16.56

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{276*0.06*0.94} = 3.9454

What is the probability that the sample proportion will be less than 0.1

This is the pvalue of Z when X = 0.1*276 = 27.6. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{27.6 - 16.56}{3.9454}

Z = 2.8

Z = 2.8 has a pvalue of 0.9974

99.74% probability that the sample proportion will be less than 0.1

5 0
3 years ago
Please help with this 1 question it's 20 points.
Elden [556K]
JIG is clockwise around the figure, as is DEF, so there is no reflection involved. The midpoint between any two corresponding vertices is (1, 4), so that is the center of rotation. Figure DEF is "upside down" from JIG, so rotation is 180°.

The 1st selection is appropriate.
7 0
3 years ago
Read 2 more answers
An average person in the United States throws away 4.5 × 10² grams of trash per day. In 2013, there were about 3.2×106 people in
enyata [817]

Answer:

Since there are 4.5*10^2 grams of trash per day per person, we multiply that by 3.2*10^6 for everyone in the US and then multiply that by 365 to get how much in a year, which is 525600000000 or 5.256*10^11 (I think it's 11)

Step-by-step explanation:

7 0
2 years ago
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35 POINTS ANSWER FAST PLZ!!!!!!!!!!!!!!!
Sladkaya [172]

The formula to solve for thee area of a square pyramid is [ V = 1/3 * b² * h ]

b² = base area (b = length of one side of the base)

h = height

The only option that as a base length of 12cm. and a height of 14cm. is the first option.

Solve for the volume if needed.

V = 1/3(12²)(14)

V = 1/3(144)(14)

V = 1/3(2,016)

V = 672cm²

Best of Luck!

8 0
3 years ago
Read 2 more answers
A figure is shown with the given dimensions. What is the area of the composite figure?
inessss [21]

Answer:

24

Step-by-step explanation:

Split the shape into 2 so you get a triangle and a rectangle.

Find area of triangle:

1/2 x a x b = 1/2 x 3 x 4

= 6 square feet

Find area of rectangle:

b x h = 6 x 3

= 18

Add both together

18 + 6 = 24

7 0
3 years ago
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