a random sample of 784 10-ounce cans of fruit nectar is drawn from among all cans produced in a run. prior experience has shown that the distribution of the contents has a mean of 10 ounces and a standard deviation of .10 ounce. what is the probability that the mean contents of the 784 sample cans is less than 9.995 ounces? a) 0.131 b) 0.081 c) 0.101 d) 0.111 e) 0.121 f) none of the above

Answer:

Step-by-step explanation:

3/10 < 1/3

Answer:

43

Step-by-step explanation:

to find mean we add all the terms together and them divide by the amount of terms so lets add what we know first

2+3+4+5+6+7

27

there are 7 terms including the y so for there to be a mean of 10 the terms will have to equal 70 when added so we just subtract

70-27

43

hopes this helps please mark brainliest

The answer is 3.6 and 2 respectively.

What is the proportionality constant?

The proportionality constant is the ratio that connects two given values in a proportional relationship. The constant of proportionality is also known as the constant ratio, constant rate, unit rate, constant of variation, and even the rate of change.

We have,

R = k / A

where,

k is the proportionality constant

12 = k / 1.5

k = 12 * 1.5

k = 18

now

a) The value of R is?, when A=5.

R = 18 / 5

= 3.6

b) The value of A is? R=9.

A = 18 / 9

= 2

Hence, the answer is 3.6 and 2 respectively.

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Answer:

x=12.99

h=7.5

Step-by-step explanation:

the triangle OCB is an isosceles triangle whereby angleOCB=120,angleCOB=angleCBO=30

thus length of BC is 15

[tex]cosine \: rule \\ a {}^{2} = b {}^{2} + c {}^{2} - 2bc \cos(a) [/tex]

=(15^2+15^2)-(2×15×15×cos 120)

=450-(-225)

a^2 =675

a=25.98=OB

x=15sin 60

=12.99

h=15sin 30

=7.5

Answer:

Bruce is 10 years old.

Step-by-step explanation:

m - Madge age.

b - Bruce age.

Madge is six years older than Bruce.

m=b+6 or m-6=b

In five years the sum of their ages will be 36.

m+5 - Madge age after 5 years.

b+5 - Bruce age after 5 years.

m+5+b+5=36

m=b+6

b+6+5+b+5=36

2b+16=36

2b=36-16

2b=20 /:2

b=10

m=b+6=10+6=16

.

Answer:

-7.8n+7.9

Step-by-step explanation:

Answer:

Step-by-step explanation:

m = E / c²

The number of polio vaccinations is 32  and measles vaccination is 28

Let p represent the number of polio vaccines and let m represent the number of measles vaccines.

We know that each polio vaccine consists of 4 doses, and each measles vaccine consists of 2 doses.

Dr. Potter gave a total of 60 vaccinations last year. Therefore, the sum of the number of polio vaccines and measles vaccines must total 60. Therefore:

p+m=60

Together, they consisted of 184 doses.

Since each polio vaccine has 4 doses, the amount of doses for p polio vaccines is 4p.

And since each measles vaccine has 2 doses, the amount of doses for m measles vaccines is 2m.

So:

4p+2m=184

We now have a system of equations:

p+m=60

4p+2m=184

We can solve using elimination. Let’s multiply the first equation by -2. So:

-2p-2m=-120

Now, we can add this to the second equation. Hence:

(-2p+4p)+(-2m+2m)=(-120+184)

2p=64

p=32

Therefore, Dr. Potter gave out 32 polio vaccinations

p+m=60

By the first equation:

p+m=60

Substitute 32 for p to get

32+m=60

m=60-32

m=28

So, 28 measles vaccinations were given out.

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Step-by-step explanation:

4.

p(-2) = 6×-2 + 2 = -12 + 2 = -10

p(4) = 6×4 + 2 = 24 + 2 = 26

so,

p(-2) is smaller than p(4)

3.

r(-1) = -2×-1 - 5 = 2 - 5 = -3

(x+2)(3x+1)

x(3x+1)+2(3x+1)

3x²+x+6x+2

3x²+7x+2

(3x²+7x+2)(x-3)

x(3x²+7x+2)-3(3x²+7x+2)

3x³+7x²+2x-9x²-21x-6

3x³+7x²-9x²+2x-21x-6

3x³-2x²-19x-6

The percent error of the meaurement is 6.21%

Julia meaured a line to be 16. 1 inche long

The actual length of the line i 17. 1 inche

Error in length = actual length - measured length

Error in length = 17.1 - 16.1 = 1 inch

Percent of error is defined as the difference between a measured or experiment value and an accepted or known value, divided by the known value, multiplied by 100

error percent = error/ known value x 100

= 1/16.1 x 100

= 6.21%

Therefore, the percent error of the meaurement is 6.21%

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The Area of Rectangle would be Decreased by 16% of the original Area. Now the Area of Rectangle is 84%.

Let the Length of rectangle be ‘x’

And width of rectangle be ‘y’

Area of Rectangle = Length X Width

Original Area of rectangle = x X y = xy square units

As the length is increased by 40% then, the new length would be 1+40% i.e 1.4 and,

The width is decreased by 40% then, the new width would be 1-40% i.e  0.6

New Length = 1.4x

New Width = 0.6y

Now , New Area of Rectangle = 1.4x X 0.6y

                    = 0.84xy square units

The effect is that the New Area of the rectangle is 84% of the original area. There is a decrease of 16% in the area.

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Hives, itching, and pale or flushed skin are examples of allergies. reduced blood pressure (hypotension) breathing difficulties and wheezing can result from airway constriction and swelling of the tongue or throat.

What causes allergies?

Why do allergies occur?

If your immune system overreacts to something that is typically harmless but causes an allergic reaction in someone who is sensitive to it, you will experience allergy symptoms. We call this chemical an allergy.

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