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Rzqust [24]
2 years ago
13

The high temperatures in Montana are recorded for a week. High Temperatures Sunday 46°F Monday 52°F Tuesday 51°F Wednesday 54°F

Thursday 49°F Friday 51°F Saturday 61°F What is the mean, or average, high temperature for the week?
Mathematics
2 answers:
Elan Coil [88]2 years ago
5 0

Answer:


Step-by-step explanation:

to get the mean you need to add up all the numbers

46+52+51+54+49+51+61=364

then divide that sum by the amount of numbers you have

364 divided by 7=52

so the mean you have is 52 degrees

AnnyKZ [126]2 years ago
3 0
46+52+51+54+49+51+61=ans/7 which is 52°F
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A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18 \pi18π18, pi
katrin [286]

The area of the cross section of the column is 18 \pi \ m^2

Explanation:

Given that a building engineer analyzes a concrete column with a circular cross section.

Also, given that the circumference of the column is 18 \pi meters.

We need to determine the area of the cross section of the column.

The area of the cross section of the column can be determined using the formula,

Area= \pi r^2

First, we shall determine the value of the radius r.

Since, given that circumference is 18 \pi meters.

We have,

2 \pi r=18 \pi

   r=9

Thus, the radius is r=9

Now, substituting the value r=9 in the formula Area= \pi r^2, we get,

Area = \pi (9)^2

Area = 81 \pi

Thus, the area of the cross section of the column is 18 \pi \ m^2

5 0
2 years ago
The probability that an appliance is in repair is 0.8. if an apartment complex has 100 such appliances, what is the probability
AleksandrR [38]

Answer:

P(X\geq90) =0.00878

Step-by-step explanation:

This situation can be modeled by a binomial distribution of parameters:

p = 0.8\\\\q = 0.2\\\\n = 100

We want to find the probability that at least 90 are in repair.

<u><em>We can approximate this problem to a normal distribution, where:</em></u>

\mu = np

\mu = 80

\sigma = \sqrt{npq}\\\\\sigma = 4

Then we look for

P(X\geq90) = P(X>90 -0.5)\\\\P(X\geq90) = P(X>89.5)

Then we must find the normal standard statistic Z-score

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

Therefore:

P(X>89.5) = P(\frac{X-\mu}{\sigma}>\frac{89.5-80}{4})\\\\P(X>89.5) =P(Z>2.375)

Looking in the standard normal table we obtain:

P(Z>2.375) = 0.00878

8 0
2 years ago
A low-strength children’s/adult chewable aspirin tablet contains 81 mg of aspirin per tablet. How many tablets may be prepared f
Svetlanka [38]

Answer:

12,345 tablets may be prepared from 1 kg of aspirin.

Step-by-step explanation:

The problem states that low-strength children’s/adult chewable aspirin tablets contains 81 mg of aspirin per tablet. And asks how many tablets may be prepared from 1 kg of aspirin.

Since the problem measures the weight of a tablet in kg, the first step is the conversion of 81mg to kg.

Each kg has 1,000,000mg. So

1kg - 1,000,000mg

xkg - 81mg.

1,000,000x = 81

x = \frac{81}{1,000,000}

x = 0.000081kg

Each tablet generally contains 0.000081kg of aspirin. How many such tablets may be prepared from 1 kg of aspirin?

1 tablet - 0.000081kg

x tablets - 1kg

0.000081x = 1

x = \frac{1}{0.000081}

x = 12,345 tablets

12,345 tablets may be prepared from 1 kg of aspirin.

4 0
2 years ago
Sarah and her friends are going blueberry picking. Sarah picks $b$ blueberries. Michael picks $3$ more than half as many as Sara
yKpoI14uk [10]
The correct answer is b=3+1/2 divided by 5+3 after that +10-3*5*3 . add the answers up and thats the solution
6 0
2 years ago
Which equation represents a circle that contains the point (-2, 8) and has a center at (4, 0)
nevsk [136]

Answer:

Option 1:(x-4)^2+y^2=100

Step-by-step explanation:

Given center = (h,k) = (4,0)

The point (-2,8) lies on circle which means the distance between the point and center will be equal to the radius.

So,

The distance formula will be used:

d = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}} \\=\sqrt{(4+2)^{2}+(0-8)^{2}}\\=\sqrt{(6)^{2}+(-8)^{2}}\\=\sqrt{36+64}\\ =\sqrt{100}\\ =10\ units

Hence radius is 10.

The standard form of equation of circle is:

(x-h)^2+(y-k)^2 = r^2

Putting the values

(x-4)^2+(y-0)^2=10^2

(x-4)^2+y^2=100

Hence option 1 is correct ..

7 0
2 years ago
Read 2 more answers
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