A quantity with an initial value of 300 decays exponentially at a rate such that the quantity cuts in half every 10 years. What is the value of the quantity after 57 months, to the nearest hundredth?

Answer:

The probability of juniors whose score is at or below =0.1587

The percentage of juniors whose score is at or below 66

P(X≤ 66) = 0.1587 = 15 percentage

Step-by-step explanation:

Explanation:-

Given mean of the Population (μ) = 73

Given standard deviation of the Population(σ) = 7

Let 'X' be the random variable in normal distribution

[tex]Z = \frac{x^{-}-mean }{S.D} = \frac{66-73}{7} = -1[/tex]

The probability of juniors whose score is at or below 66

[tex]P(X\leq 66 ) = P(Z\leq -1)[/tex]

                = 1 - P( Z>Z₁ )

                = 1-( 0.5 +A( Z₁)

               = 0.5 - A(-1)

             = 0.5 - A(1)    (∵ A(-1) = A(1))

            = 0.5 - 0.3413

           = 0.1587

The probability of juniors whose score is at or below 66

[tex]P(X\leq 66 ) = P(Z\leq -1)[/tex]  = 0.1587

The percentage of juniors whose score is at or below 66

P(X≤ 66) = 15 %

Answer:

4b - 8

Step-by-step explanation:

2/3(6b - 12)

2/3 x 6 = 12/3 = 4

2/3 x 12 = 24/3 = 8

4b - 8

Answer:

The surface area of the decorative block is 253.68 cm²

Step-by-step explanation:

The decorative block is a composite figure comprising of the following parts;

1) A solid cube with side length, S = 6 cm

2) A hemisphere with diameter, D =  4 cm

The surface area of the decorative block = The surface area of the solid cube + The surface area of the hemisphere

The surface area of the components of the decorative block are as follows;

The surface area of the solid cube = 6 × S² = 6 × (6 cm)² = 216 cm²

The surface area of the hemisphere = π·D²/4 + π·D²/2

∴ The surface area of the hemisphere = 3.14 × (4 cm)²/4 + 3.14 × (4 cm)²/2 = 37.68 cm²

∴ The surface area of the decorative block = 216 cm² + 37.68 cm² = 253.68 cm².

Step-by-step explanation:

9 can be written as a product of 3 and 3

9=3×3 ( because 3 is a prime no. as it has two different factors ,i.e. 3 and 1)

Step-by-step explanation:

so we start using repeated division to find 9 as a product of primes.

First divide 9 by the smallest prime factor it has.

9/3=3

Next, divide the result (3) by the smallest prime factor it has.

3/3=1

Once you reach 1, which we just did, you have finished.

Now collect all the results you have.

3x3

There you go, 9=3x3, as a product of primes.

or 3^2, if you want to write it in index notation.

This works for any integer.

Answer:

That's what pops up, on a scratch

Answer: 2%

Step-by-step explanation:

As the loan was only for a year at simple interest, find out how much of $2,000, $40 is:

= 40/2,000

= 2%

Answer i dont know the amount of the items

Step-by-step explanation:

give us the amount of them please

Answer:

36

Step-by-step explanation:

Answer:

Step-by-step explanation:

(4a³b² )* (3a⁶b⁵) = 4*3 *a⁽³⁺⁶⁾ * b⁽²⁺⁵⁾

                         = 12a⁹b⁷

Answer:

25%

Step-by-step explanation:

6400/1600=4

1/4= 25%

Answer:

2:1 not really sure but I tried

Step-by-step explanation:

The first triangle is double the first one.

15/2= 7.5

Not really sure but I tried.

Answer: V = 56.5486678 m3

there's the full answer.

you'd round it to 57

Answer:

13/30

Step-by-step explanation:

Add: -1/

3

+ 2/

5

= -1 · 5/

3 · 5

+ 2 · 3/

5 · 3

= -5/

15

+ 6/

15

= -5 + 6/

15

= 1/

15

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(3, 5) = 15. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 5 = 15. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - minus one third plus two fifths = one fifteenth.

Subtract: 1/

2

- the result of step No. 1 = 1/

2

- 1/

15

= 1 · 15/

2 · 15

- 1 · 2/

15 · 2

= 15/

30

- 2/

30

= 15 - 2/

30

= 13/

30

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 15) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 15 = 30. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - one half minus one fifteenth = thirteen thirtieths.

Answer:

A and E

Step-by-step explanation:

9^3 / 9^3

Same number on top and bottom so 1 is an answer

look at the exponents, when dividing with exponents, you just subtract them, so it could also be 9^0, which is also 1

Answer:

A. 1 and E. 9^0

Step-by-step explanation:

9/9 = 1

You can check this by actually solving the problem:

9^3 = 9*9*9 = 729

So...

729/729 = 1

Also, any number to the power of zero is one, so 9^0 is also a correct answer

Step-by-step explanation:

given

3y + 6x = - 3

writing in slope intercept form y = mx + c

3y = - 3 - 6x

y = -3/3 - 6x /3

y = - 1 - 2x

y = -2x - 1

m = - 2

c = - 1

Hope it will help :)

Answer:

The equation of line in the form of Ax + By = C is: [tex]\mathbf{4x+y=-17}[/tex]

Step-by-step explanation:

We need to find the equation of line, with the given slope passes through the given point.

Slope m = -4

Point: (-2,-9)

We need to find slope and y-intercept of the line.

The slope of line is given m = -4

Now, we need to find the y-intercept

Using the point (-2,-9) and slope m = -4, we can find y-intercept

The formula used will be: [tex]y=mx-b[/tex]

Putting values of: y= -9, x =-2 and m = -4

[tex]y=mx+b\\-9=-4(-2)+b\\-9=8+b\\b=-9-8\\b=-17[/tex]

So, y-intercept b = -17

Now, the equation of required line having slope m = -4 and y-intercept b = -17 is:

[tex]y=mx+b\\y=-4x-17[/tex]

Writing equation in required form i.e. of Ax + By = C

[tex]y=-4x-17\\4x+y=-17[/tex]

So, the equation of line in the form of Ax + By = C is: [tex]\mathbf{4x+y=-17}[/tex]

Answer:

They had 98 marbles

Answer:

scale = 14.5 cm perimeter

actual = 29 inch perimeter

Step-by-step explanation:

To find the perimeter of the scale drawing, we can just add up the scale sides.

This would be 2.5 + 2.5 + 4.75 + 4.75 = 14.5 cm perimeter

For the real flag, we know that for each cm on the scale flag, it represents 1 inch on the actual flag.

2.5/.5 = 5 inch length

4.75 / .5 = 9.5 inch width

5 + 5 + 9.5 + 9.5 = 29 inch perimeter

Answer:  think its A because that little square box is a angle of a angle triangle.i won't get my answer right. cool

Step-by-step explanation: i can't explain this

Answer: y = 1/5x+5

Step-by-step explanation: Slope intercept form is y = mx+b, where m is the slope, and b is the y intercept. Substitute accordingly.

Answer:

4

Step-by-step explanation:

And let the missing number be x

We can solve using Algebra

11x - 10 = 34

11x = 34 + 10

11x = 44

x = 44/11

x = 4

For verification:

4(11) - 10 = 34

44 - 10 = 34

34 = 34

Hence, Proved

Answer:

B

Step-by-step explanation:

Answer:I don't get what d means and what it means by value but choose a.

it makes the most sense,

Step-by-step explanation:

Answer: a = 8;  b = 15;  c = 17

Step-by-step explanation:

c = b + 2  and c = 2a + 1

b = c − 2 and a =  [tex]\frac{c-1}{2}[/tex]

​

c² = b² + a²  

[tex]c^{2} = (c-2)^{2} + \frac{c-1}{2}\\[/tex]

[tex]c^{2}= \frac{4 (c-2)^{2}+(c - 1)^{2} }{4}[/tex]

[tex]4c^{2}={4 (c^{2} + 4 -4c)+c ^{2} + 1-2c[/tex]

[tex]4c^{2}={4 c^{2} + 16 -16c)+c ^{2} + 1-2c[/tex]

[tex]c^{2}-18c+17=0[/tex]

[tex]c(c -17)-1(c-17)=0[/tex]

​[tex](c -1)(c-17)=0[/tex]

c = 1 or c = 17

If c = 1 then b = 1 - 2 = -1, that's not possible

So x = 17

b = 17 - 2 = 15

a = [tex]\frac{17-1}{2} = 8[/tex]

Length sides of the triangle are 17 cm, 15 cm and 8 cm.

I saw some of this on a site but I want to make sure its correct so we're gonna apply the pythagorean theory and see if its correct.

[tex]a^{2} + b^{2} = c^{2} \\8^{2} + 15^{2} = 17^{2} \\64 + 225 = 289\\289 = 289\\[/tex]

This shows that this is correct.

Hope this helped! Again, some of this was from a site, not from me.

Answer: 9 + 1.50m

Step-by-step explanation:

From the question, we are informed that the minimum cost for an Uber ride is $9 and that a fee of $1.50 will be added for each additional mile.

A piece wise function to model the situation will be:

= 9 + 1.50m

where m = every additional mile

For example, if a person takes 4 additional miles, this will be calculated as:

= 9 + 1.50m

= 9 + 1.50(4)

= 9 + 6

= $15

Answer:

-11

Step-by-step explanation:

If F of x is 3, you would implement it into the equation. F(3)= -3(3)-2= -9-2= -11

Answer:

120cm

Step-by-step explanation:

it 120 cm because of length×with×hight

Answer:

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Step-by-step explanation: