A set of three scores consists of the values 3, 7, and 2. Σ2(X – 3) =

Using the Empirical Rule, the percentages are given as follows:

a) 68%.

b) 5%.

c) 0.15%.

It states that, for a normally distributed random variable, approximately:

For item a, 80 and 120 are within one standard deviation of the mean, hence:

68% of people has an IQ score between 80 and 120.

For item b, the bounds are within two standard deviations of the mean, hence 5% of the observations are outside this interval, that is:

5% of people has an IQ score less than 60 or greater than 140.

For item c, 160 is three standard deviations above the mean. Considering the symmetry of the normal distribution, 0.3/2 = 0.15% of people has an IQ score greater than 160​?.

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Answer:

f(6) = [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

substitute x = 6 into f(x)

f(6) = [tex]\frac{6^2-4(6)}{20}[/tex] = [tex]\frac{36-24}{20}[/tex] = [tex]\frac{12}{20}[/tex] = [tex]\frac{3}{5}[/tex]

The solution to each division problem is;

1) 4

2) 2

3) 3

4) 3

5) 3

1) We are given the expression;

(5 * 3) * ___ = 60

To get the blank answer, we will divide both sides by (5 * 3) to get;

60/(5 * 3) = 4

2) We are given the expression;

4 *( ___ * 9) = 72

To get the blank answer, we will divide both sides by (4 * 9) to get;

72/(4 * 9) = 2

3) We are given the expression;

7 * (2 * ___) = 42

To get the blank answer, we will divide both sides by (7 * 2) to get;

42/(7 * 2) = 3

4) We are given the expression;

(___ * 5) * 5 = 75

To get the blank answer, we will divide both sides by (5 * 5) to get;

75/(5 * 5) = 3

5) We are given the expression;

(3 * 3) * ___ = 27

To get the blank answer, we will divide both sides by (3 * 3) to get;

27/(3 * 3) = 3

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Answer:

The width is 3 feet and the height is 6 feet.

Step-by-step explanation:

Answer: 420

Step-by-step explanation:

60 apples per day times 7 days in a week = 420

Answer:

u = -50

Step-by-step explanation:

First let's carry the -4 to the other side and get u/5 by itself

-14 = -4 + u/5

+4     +4

-10 = u/5

The next step is to try and get rid of the u, and in order to do that we have to multiply by 5 on both sides

-10 = u/5

*5       *5

-50 = u

So u should equal -50.

_____
You can also check this answer by plugging it back into the original problem

-14 = -4 -50/5

-14 = -4 -10

-14 = -14

The statement is true, so -50 is our answer for sure.

Hope this helps :)

Answer: 0.35

Step-by-step explanation:

7/20 = 0.35

0.35 x 20 = 7

Answer:

If your number was 250,000,000,000

The amount of social security would be 52,000,000,000

Step-by-step explanation:

Answer: 7x-6

Step-by-step explanation:

P=perimeter. L=length. W=width

P=2L+2W

P=2(x+1)+2(2.5x-4)

P=2x+2+5x-8

P=2x+5x+2-8

P=7x-6

Answer: 291 with a remainder of 375

Step-by-step explanation: What you need to do first is multiply the senior tickets by 37 which is 370. Now subtract 4,740 by 370 which equals 4370. Then divide 4370 by 15. 4370 divided by 15 equals 291. Multiply 291 by 15 (just to find the remainder) which equals 4,365. 4,740 subtracted by 4,365 equals 375. So the answer is 375

Answer:

$187.5

Step-by-step explanation:

39 (4) + 0.09 (350)

156 + 31.5

$187.5

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Answer:

$187.5

Step-by-step explanation:

You need to multiply the daily cost by the days. In this case, 39*4 = 156. Then, we can get the cost for the miles driven, being 0.09*350 = 31.5.

We can now add the two numbers together:

156 + 31.5 = $187.5

The answer to given question is given below in detailed manner.

Business Commencement Date means the first date on which the Company or any Affiliate, licensee or sublicensee of the Company makes a commercial sale of any Product within the Field of Activity in the Territory that would generate a payment to the Partnership or the Class A Limited Partners.

Hence here commencement date is not applicable;

for starting capital required=10000+5000

Now adding commencement of business with cash 10000 and goods 5000​ as date commencement is not applied here so we get =15000

The capital account is a liability for business this amount is needed to return to investor one day.

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Answer: The answer to given question is given below:

Step-by-step explanation:

Business Commencement Date means the first date on which the Company or any Affiliate, licensee or sublicensee of the Company makes a commercial sale of any Product within the Field of Activity in the Territory that would generate a payment to the Partnership or the Class A Limited Partners.

hence here

commencement date is not applicable;

for starting capital required=10000+5000

=15000

The capital account is a liability for business

this amount is needed to return to investor one day.

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Step-by-step explanation:

sadly you skipped the key word in the question.

should we check under what circumstances plan A costs more than plan B ? or costs less than plan B ?

so, I don't know which inequality to solve.

but I can tell you the facts, and you need to pick the right direction for your answer.

cost of plan A for used minutes m :

cA(m) = 1.9 + 0.06m

plan B

cB(m) = 0 + 0.07m = 0.07m

to find the intersecting point, where both plans cost the same :

1.9 + 0.06m = 0.07m

1.9 = 0.01m

m = 1.9 / 0.01 = 190 minutes

up until 190 minutes plan B is cheaper.

if there are more than 190 minutes, than plan A is cheaper.

so,

m < 190 B is cheaper

m > 190 A is cheaper

m = 190 A and B cost the same

Answer:

49

Step-by-step explanation:

The proportional relation that tells us how many hours she practices basketball in D days is:

H = 2*D

We know that Shermika practices basketball for two hours each day, then in one day she will practice 2 hours, in 2 days she will practice 4 hours, and so on.

We want to find an expression that relates the number of hours practiced, H, in D days.

If she practices 2 hours per day, then in D days she will practice a total of:

H = 2*D

This is just a proportional relation that tells us how many hours she practices basketball in D days.

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Answer:

Step-by-step explanation:

100 more than 365 is equal to 65more then

we can solve with an equation

100 + 365 = 65 + x

100 + 365 - 65 = x

465 - 65 = x

400 = x

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

check

100 + 365 = 65 + 400

465 = 465

the answer is good

Answer:

193 and 194

Step-by-step explanation:

Left page = X

Right page = X + 1

You know the total sum.

X + (X + 1) = 387

2X + 1 = 387

2X = 387 - 1

2X = 386

X = 193

When you plug X in you get the following;

Left page = 193

Right page = 193 + 1 = 194

Answer:

$2,400,000

Step-by-step explanation:

Just multiply them together

It should be noted that 4/7 x 1/4 is greater than 4/7 x 1/6.

It should be noted that we are to find the value that is bigger between 4/7 x 1/4 or 4/7 x 1/6.

Therefore 4/7 x 1/4 will be:

= 4/7 × 1/4

= 1/7

Also 4/7 x 1/6 will be:

= 4/7 × 1/6

= 2/21

Therefore, it should be noted that 4/7 x 1/4 is greater than 4/7 x 1/6.

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Answer:

See the picture below.

Step-by-step explanation:

Answer: 4v

Step-by-step explanation:

If 4 tokens are needed for each video game, then you multiply 4 by the number of video games v.

For example, 3 video games, each requiring 4 tokens, would require a total of 12 tokens. This can be also defined as:

v = 3

4*(3) = 12

Answer:

1,077.281879 mg is the answer

The value of my car one year ago was $35,714.3

INTEREST FORMULA: The interest formula includes two types of interests - simple interest and compound interest. Interest is the cost a borrower pays a lender for a loan. This additional sum, or the interest, must be paid in addition to the loan itself. The compound interest formula and the simple interest formula are both discussed in the interest formula.

Present value of the car = A = $25,000

Depreciation rate = r = 30% per annum

Time = t = 1 year

Let the initial value be p

We know the formula, A = P(1 – r/100)^t

$25,000 = P [1 – 30/100] ^1

$25,000 = P (7/10)

P = (25,000 * 10) / 7

P = $35,714.3

Therefore, One year ago, my car's value was worth $35,714.3.

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Answer:

9/8 mile or 1 and 1/8 mile

Step-by-step explanation:

Add 3/8 + 3/4

LCD is 8 so it would be 3/8 + 6/8 which is 9/8 (which can be converted to the mixed number 1 and 1/8)

a) Dot product: recall that

i • i = j • j = k • k = 1

i • j = i • k = j • k = 0

Then

a • b = (i + 2j - 7k) • (5i - 2j + 4k)

a • b = 5 (i • i) - 4 (j • j) - 28 (k • k)

a • b = 5 - 4 - 28

a • b = -27

b) Cross product: recall that

i × i = j × j = k × k = 0

i × j = -(j × i) = k

j × k = -(k × j) = i

k × i = -(i × k) = j

Then

a × b = (i + 2j - 7k) × (5i - 2j + 4k)

a × b = -2 (i × j) + 4 (i × k) + 10 (j × i) + 8 (j × k) - 35 (k × i) + 14 (k × j)

a × b = -12 (i × j) - 6 (j × k) - 39 (k × i)

a × b = -6i - 39j - 12k

c) Recall the dot product identity

x • y = ||x|| ||y|| cos(θ)

We have

||a × b|| = √((-6)² + (-39)² + (-12)²) = 9√21

Then the direction cosines α, β, γ of a × b are

(a × b) • i = ||a × b|| ||i|| cos(α)

⇒   cos(α) = -6/(9√21) = -2/(3√21)

(a × b) • j = ||a × b|| ||j|| cos(β)

⇒   cos(β) = -39/(9√21)

(a × b) • k = ||a × b|| ||k|| cos(γ)

⇒   cos(γ) = -12/(9√21) = -4/(3√21)

d) a × b is perpendicular to both a and b, so we can get a unit vector by scaling this down by its magnitude. This is the same as the vector of direction cosines:

(a × b)/||a × b|| = (-6i - 39j - 12k)/(9√21)

(a × b)/||a × b|| = -2/(3√21) i - 39/(9√21) k - 4/(3√21) k

The missing side of the figure if the perimeter is 35 2/3 cm, is calculated as: 10.9 cm.

The perimeter of a figure is the total length surrounding the figure.

We are given that the figure shown below has a perimeter of 35 2/3 cm, which means all the total length of all its sides equals 35 2/3 cm.

To find the missing length, sum all the given lengths and subtract it from the perimeter of the figure.

Sum of all the given lengths =  4 3/4 + 3 1/2 + 1 1/3 + 1 1/3 + 3 1/2 + 9.25 + 6.6 = 4.75 + 2.3 + 1.3 + 1.3 + 2.3 + 9.25 + 6.6

Sum of all the given lengths =  27.8 cm

The missing side = 38 2/3 - 27.8 = 38.7 - 27.8

The missing side = 10.9 cm.

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