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The probability that x assumes a value less than three standard deviations from the mean is 1.

The continuous uniform distribution, sometimes known as the rectangle distribution, is a family of symmetric probability distributions in probability theory and statistics.

We have:

x be a random variable with uniform distribution on (100,200).

It is required to find the probability that x assumes a value less than three standard deviations from the mean.

From the empirical rule, the data falls within three standard deviations of the mean in 99.7% of cases.

99.7% data from the (100, 200) is up to 199.7

Total number of favourable outcomes = 99.7

The probability that x assumes a value less than three standard deviations from the mean:

= 99.7/(200-100)

= 0.997 ≈ 1

Thus, the probability that x assumes a value less than three standard deviations from the mean is 1.

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Demarcus should calculate the total surface area of the rectangular prism and the measurement is 1,048 in²

Total surface area = 2(lw + hw + lh)

= 2(20×8 + 13×8 + 20×13)

= 2(160 + 104 + 260)

= 2(524)

= 1,048 in²

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Answer:

I think 5580

Step-by-step explanation:

You move the 1800 away for a bit so since it's 42 weeks you have to multiply 90 and 42 then add that to 1800.

Answer:

The answer is

x < -1

Step-by-step explanation:

I hope it helps!

its C

One coffee maker's cost in 1983 was $20.85 if the current CPI is 153 option (a) is correct.

It is given that the CPI is currently 153 if a coffee maker costs $31.90 today. It is required to find how much did one cost in 1983.

It is defined as the tool to measure inflation that indicates between two periods how much cost is increased. It can be represented by [tex]\rm CPI_t[/tex] for the given time 't'

The formula for finding the CPI:

[tex]\rm CPI_t = \frac{C_t}{C_0}\times 100[/tex]

Where [tex]\rm c_t[/tex] is the cost in the current market

           [tex]c_0[/tex] is the cost at the given period.

We have in the question:

[tex]\rm c_t = \$31.90\\\\\rm CPI_t = 153[/tex]

Putting these values in the CPI formula, we get:

[tex]\rm 153= \frac{31.90}{C_0}\times 100\\\\\rm c_0 = \frac{3190}{153} \\\\\rm c_0 = \$20.84 \approx \$20.85[/tex]

Thus, one coffee maker's cost in 1983 was $20.85 if the current CPI is 153.

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Answer:

40 degrees is acute, 50 is also acute and they both make up a right angle (90 degrees)

Step-by-step explanation:

Answer:7/8

Mixed number just do it

Answer:

x>5, so

let x=6

6-3=3

+

6+2=8

-

6-5=1

3+8-1=10

answer=10

Answer:

B

Step-by-step explanation:

Answer:

105,000

Step-by-step explanation:

I'd the scale is 1 : 50,000, you would first take the 2.1km and multiply it by your 50,000. This will put your answer to scale coming in at 105,000 km on the map

Answer:

Step-by-step explanation: A= π r²

π=3.14

4x4 = 16

so 3.14 x 16 =50.24

Answer:

40+20, 50+10, 46+14

Step-by-step explanation:

15+45=60 =   50+10=60 46+14=60

The square transforms the expression [tex]\rm x^{2} +4x + 2^{2}[/tex] into the form  [tex](x+2)^2-2[/tex].

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

write in the form of [tex](x+y)^{2}[/tex]

[tex]\rm x^{2} +2xy + y^{2}[/tex]

2y = 4

y = 2

so, [tex]\rm x^{2} +4x + 2^{2}[/tex]

we will now convert it into the form

[tex]\rm x^{2} +2xy + y^{2}[/tex] = [tex]\rm (x+y)^{2}[/tex]

substitute the values

[tex]\rm x^{2} +4x + 2^{2} = (x+2)^{2}[/tex]

[tex](x+2)^2-2+2^2[/tex]

[tex](x+2)^2-2[/tex]

Thus, [tex](x+2)^2-2[/tex] is the correct form.

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Answer:

there are no statements...

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Assume width of rectangle be " x ", length = 3×width + 8 = 3x + 8 ~

Now, Perimeter of rectangle is :

[tex]\qquad \sf  \dashrightarrow \:2(l + w) = 56[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(3x + 8 + x) = 56[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(4x + 8) = 56[/tex]

[tex]\qquad \sf  \dashrightarrow \:4x + 8 = 56 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:4x + 8 = 28[/tex]

[tex]\qquad \sf  \dashrightarrow \:4x = 28 - 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 20\div 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:x =5 \: cm[/tex]

Hence, width = x = 5 cm

[tex]\qquad \sf  \dashrightarrow \:l = 3w + 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:l = 3(5)+ 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:l = 15+ 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:l =23 \:cm[/tex]

And, length = 26 cm

[tex]x+y = 5~~...(i)\\\\2x-y = 1~~...(ii)\\\\\text{From (i):}\\\\x+y = 5\\\\\implies x = 5-y~~~.....(iii)\\\\\text{Substitute equation (iii) in equation (ii):}\\ \\2(5-y)-y = 1\\\\\implies 10 - 2y -y = 1\\\\\implies 3y = 9\\\\\implies y = \dfrac 93 = 3\\\\\text{Substitute y= 3 in equation (iii):}\\\\x= 5-3 = 2\\\\\text{Hence,}~ (x,y) = (2,3)[/tex]

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(2,3)

Equation Form:

x = 2, y = 3

Step-by-step explanation:

Answer:

1.62857142857

Step-by-step explanation:

Im sure you can round to 1.6 or 1.62.

Answer:

17.4.3

Step-by-step explanation:

17.4.3

Answer:

A Rational

Step-by-step explanation:

Because 200 can be represented as 200/1, it shows that it can be made into a fraction unlike irrational numbers.

The sum of the given data will be 7 ⁵√x²y. The result or answer we obtain when we count two or more digits or terms is known as a sum.

The result or response we obtain when we add two or more numbers or terms is known as a sum.

The given terms will be

[tex]\rm x= 4\sqrt[5]{x^2y} \\\\ \rm y= 3\sqrt[5]{x^2y}[/tex]

The sum is found as;

S= x+y

[tex]\rm S=\rm 4\sqrt[5]{x^2y} + 3\sqrt[5]{x^2y} \\\\ \rm S=\sqrt[5]{x^2y} (4+3) \\\\ \rm S=7\sqrt[5]{x^2y}[/tex]

Hence the sum of the given data will be 7 ⁵√x²y.

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Answer:

Its C

Step-by-step explanation:

TRUST>>>

Answer:

i can't see the multiple choice

Step-by-step explanation:

angle c and b are equal

angle a and d are equal

and you have a common angle o

and ab = cd

The triangles ΔAOB and ΔDOC are congruent to each other by SSS and SAS postulates. Then the correct option is A.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

It is given that AB || CD. The side AB is congruent to the side CD.

The line AD and BC intersect at the mid-point. Then the line segment AO and OD will be congruent and the line segment CO and OB will be congruent.

And the angle ∠AOB and ∠COD will be congruent because they are vertically opposite angles.

The triangles ΔAOB and ΔDOC are congruent to each other by SSS and SAS postulates. Then the correct option is A.

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needless to say that the conversion from miles to kilometers uses a constant value, and therefore, they're directly proportional.

now, I could write the direct proportional relation blah blah but there's no need, we can simply squeeze it out of the table by simply checking how many kilometers there are in 1 mile.

well, we know that 11.0 miles give us 17.699 km, ok hmmm if we divide 17.699 ÷ 11 = 1.609.

if we do the same on table for 26 and 41.834, so 41.834 ÷ 26 = 1.609, and the next pair 54.706 ÷ 34 = 1.609, the value of 1.609 is consistent or constant, or namely that there are 1.609 kilometers in 1 mile.

Answer:

D

Step-by-step explanation:

Given expression :

Solving :

Answer:

D   [tex]\sf x^{\frac12} y^{\frac34} z^{\frac14}[/tex]

Step-by-step explanation:

[tex]\sqrt[4]{\sf x^2y^3z}=\sqrt[4]{\sf x^2y^3z^1}[/tex]

Apply the Radical Product Rule  [tex]\sqrt{\sf ab} =\sqrt{\sf a}\sqrt{\sf b}[/tex] :

[tex]\implies \sqrt[4]{\sf x^2}\sqrt[4]{\sf y^3}\sqrt[4]{\sf z}[/tex]

Apply fractional exponent rule [tex]\sqrt[n]{\sf a^m} = \sf a^{\frac{m}{n}}[/tex] :

[tex]\sf \implies x^{\frac24} y^{\frac34} z^{\frac14}[/tex]

Simplify:

[tex]\sf \implies x^{\frac12} y^{\frac34} z^{\frac14}[/tex]

it should be 137

if not am sorry. am not the best at math

Answer:66 meters

Step-by-step explanation:

just change the negative to a positive and add them together. It would be 66.

Answer:

a). Geometric sequence

b).

c). $46945.21 will be the salary at the start of 5th year.

Step-by-step explanation:

My salary for the first year is $37185.

If I get an increase of 6% every year then the next year salary will be,

  = $39416.1

Similarly in the second year my salary will be

   = $41781.07

So the sequence becomes $37185, $39416.1 $41781.07.....

And there is a common ratio in each successive term 'r' = 1.06

a). Therefore, it's a geometric sequence.

b). Explicit formula for this sequence will be in the form of

Where t = duration in years

c). Salary at the start of 5th year,

      = $46945.21

Step-by-step explanation:

Answer:

true is the correct answer

Step-by-step explanation:

hope it's help you

please mark me as brainlist answer

Answer:

1 9/40

Step by step explanation:

\frac{49}{40}=1\frac{9}{40}

Answer:

40.5 square meters

Step-by-step explanation:

the first thing you should do is find the area of the entire square

that is 9 * 9 which is 81

then you have to find the area of the triangle 9 * 9 * 1/2 which is 40.5

81 - 40.5 is 40.5 so the shaded region is 40.5