Suppose a normal distribution has a mean of 38 and a standard deviation of 2. What is the probability that a data value is between 36 and 43? Round your answer to the nearest tenth of a percent.

[tex]|\Omega|=48\\A=\{24,48\}\\|A|=2\\\\P(A)=\dfrac{2}{48}=\dfrac{1}{24}\approx4.2\%[/tex]

Answer:

Step-by-step explanation:

Equations

Let the dimes be x

Let the quarters be y

x + y = 19                     (1)                   Multiply this equation by 0.1

0.1x + 0.25y = 3.10     (2)

0.1x + 0.1 y =    1.90     (3)                   Subtract 3 from 2

          0.15y  =  1.20                            Divide by 0.15

          0.15y/0.15 = 1.20/0.15

                 y = 8

x + y = 19

x + 8 = 19                                               Subtract 8 from both sides

x+8-8  = 19-8                                          Combine

x = 11

Answer

Carol has 8 quarters

She has 11 dimes

The value of y based on the values given ib the equilateral triangle will be 4.

From the information given, MN is one of the sides of the equilateral triangle. Therefore, side MR will be:

= 1/2 × 8 = 4

In the above, it should be noted that MR was calculated since it's half of the value of MN which is 8.

Here, value of y based on the values given ib the equilateral triangle will be 4.

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Answer:

Step-by-step explanation:

4

Answer:

5.5

Step-by-step explanation:

The longest string length is 12 3/4 (12.75)

The two shortest string lengths are 3 and 4 1/4 (4.25)

combine the length of the tow shortest string by adding them together,

3 + 4.25 = 7.25

to find how much longer the longest string you subtract the two numbers,

12.75 - 7.25 = 5.5

[tex]\\ \rm\Rrightarrow \dfrac{6}{x^2-3x}=\dfrac{12}{x}+\dfrac{1}{x-3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{6}{x(x-3)}=\dfrac{12}{x}+\dfrac{1}{x-3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{6}{x(x-3)}=\dfrac{12(x-3)+x}{x(x-3)}[/tex]

[tex]\\ \rm\Rrightarrow 6=12x-36+x[/tex]

[tex]\\ \rm\Rrightarrow 6=13x-36[/tex]

[tex]\\ \rm\Rrightarrow 13x=42[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{42}{13}[/tex]

Answer:

14/29

Step-by-step explanation:

14/29 is the answer

Step-by-step explanation:

that means that in 5 ml there are 250mg.

and that means that in 1 ml there are 250/5 = 50 mg.

and now we can find out the mg in 7 ml (by multiplying everything by 7) :

7 ml = 50 × 7 = 350 mg

Answer:

This equation has no solutions. So your answer is the last one!

Step-by-step explanation:

Answer:

The correct answer is D. none.

Using translation concepts, the function that represents g(x) is given by:

[tex]g(x) = -4\left(\frac{1}{2}\right)^x[/tex]

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Function f(x) is given by:

[tex]f(x) = 4\left(\frac{1}{2}\right)^x[/tex]

Function g(x) is a reflection of g(x) over the x-axis, that is, is is multiplied by -1, hence:

[tex]g(x) = -f(x) = -4\left(\frac{1}{2}\right)^x[/tex]

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Answer:

First box ⇒ 3.6 x 10^-1

Second box ⇒ 3.1 x 10^6

Third box ⇒ 5.3 x 10^-6

Fourth box ⇒ 4.2 x 10^-1

Step-by-step explanation:

I used a calculator and solved it :)

Answer:

first square = 3.6 x [tex]10^{-1}[/tex]

Step-by-step explanation:

They are all multiplying so there is no need for parenthesis

(3.8 * 10³) * (9.4 * [tex]10^{-5}[/tex])

3.8 * 10³ * 9.4 * [tex]10^{-5}[/tex]
35.72 * [tex]10^{-2}[/tex]

35.72 =~ 36

Everytime you elevate a number, it's the same as...
3 * 10² = 100 * 3 = 300

0.3 * 10³ = 1000 * 0.3 = 300

so then...

36 *      [tex]10^{-2}[/tex] = 3.6 * [tex]10^{-1}[/tex]

Answer:

D

Step-by-step explanation:

using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

2x = 4[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

x = 2[tex]\sqrt{2}[/tex]

well, the total amount of technicians employed is 100% and that is "x" amount, now, we also know that 3% of of that is 10800, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 10800& 3 \end{array} \implies \cfrac{x}{10800}~~=~~\cfrac{100}{3} \\\\\\ 3x=1080000\implies x=\cfrac{1080000}{3}\implies x=360000[/tex]

Answer:

D is the right ans after solving eqn we get two value of x and they are 1 and 3

Answer:

Look at the image below!!

Step-by-step explanation:

So the format is y=mx+b

In this case, 1/3x would be mx

By the way, B is the Y INTERCEPT

So the Y would be placed on 4,

Then the format would be y/x (1/3)

1 is y and 3 is x

So we go up 1 and 3 to the right!!

Which will lead us to the image ^^

Answer:

h(0.1) = 4.97

Step-by-step explanation:

See attached working :)

Remember that h(0.1) is the same as saying find what the equation is equal to when x = 0.1

Step-by-step explanation:

[tex] log_{5}(x + 9) = log_{5}(x + 5) + 1[/tex]

[tex] \frac{ log(x + 9) }{ log(5) } = \frac{ log(x + 5) }{ log(5) } + 1[/tex]

[tex] log(x + 9) = log(x + 5) + log(5) [/tex]

[tex] log(x + 9) = log(5x + 25) [/tex]

[tex]x + 9 = 5x + 25[/tex]

[tex]x = - 4[/tex]

If we plug it in, it is true

Answer:

5

Step-by-step explanation:

This is a 3,4,5 triangle

and to prove that;

3^2 + 4^2 = 5^2

25 = 25 is a correct statement

Answer:

-8

Step-by-step explanation:

If 3x-4y=2, then for any number a we also have a(3x-4y)=a(2) by multiplication property of equality.

Therefore, for a=-4 we have -4(3x-4y)=-4(2) which means the value of -4(3x-4y) is -8.

The value of equation - 4 (3x - 4y) will be;

⇒ - 4 (3x - 4y) = - 8

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The true equation is,

⇒ 3x - 4y = 2

Now,

Since, The true equation is,

⇒ 3x - 4y = 2   .. (i)

Hence, The value of equation - 4 (3x - 4y) is,

⇒ - 4 (3x - 4y)

Substitute from (i), we get;

⇒ - 4 (3x - 4y) = - 4 × 2

                      = - 8

Thus, The value of equation - 4 (3x - 4y) = - 8

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Answer:

4500

Step-by-step explanation:

all of them were admitted.

The correct answer is option B which is -4.(-3)5x.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division

The expression will be solved as:-

E = ( 4 - ( -3 )) 5x

E = 4 (+3) ( 5x)

E = 12(5x)

E = 60x

Now we will check option B

E1 = -4(-3)5x

E1 = 12 (5x)

E1 = 60x

E  = E1

Therefore the correct answer is option B which is -4.(-3)5x.

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The term that could be put in the blank is x^2y^2

The polynomial is given as:

8x^3y^2 - ___ + 3xy^2 - 4y^3

From the above expression, we can see that each term has a decreasing power of x from x to 0.

The missing power of x in the expression is 2

So, the term that completes the expression must have x^2

Hence, the term that could be put in the blank is x^2y^2

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Answer:

its a

Step-by-step explanation:

Answer:

The answer is [tex]x > 2[/tex]

Step-by-step explanation:

to solve this inequality:

[tex]5x+7 > 17[/tex]

Put "-7" on both sides

[tex]5x+10[/tex]

divide by 5 on both sides

your answer should be 2.

Using the vertically opposite angles theorem and corresponding angles theorem, we have proven that alternate exterior angles are congruent

From the question, we are to prove that alternate exterior angles are congruent.

In the given diagram, examples of alternate exterior angles are

∠1 and ∠8

∠2 and ∠7

Now, we will prove that ∠1 = ∠8

In the diagram, we can observe that

∠1 = ∠4 (Vertically opposite angles theorem)

and

∠4 = ∠8 (Corresponding angles theorem)

Then,

By the substitution property of equality

∠1 = ∠8

Hence, alternate exterior angles are congruent

Here is the complete and correct question:

Consider parallel lines cut by a transversal. Parallel lines q and s are cut by transversal r. On line q where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 1, angle 2, angle 4, angle 3. On line s where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 5, angle 6, angle 8, angle 7.

Explain which theorems, definitions, or combinations of both can be used to prove that alternate exterior angles are congruent.

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Answer:

Step-by-step explanation:

Parallel lines q and q are cut by transversal r forming 4 angles at each intersection. At the intersection of lines r and q, clockwise from top left, the angles are: 1, 2, 4, 3. At the intersection of lines r and s, clockwise from top left, the angles are: 5, 6, 8, 7.

Use the diagram to complete the statements.

Angles 1 and 5 are

✔ congruent

because they are

✔ corresponding

angles.

Angles 4 and 6 are

✔ supplementary

because they are

✔ same-side interior

angles.

The number of different three-digit numbers that can be set for the combination lock is 125

The digits are given as

Digit = 1, 2, 3, 4, 5

Each digit can be repeated on the number lock.

So, the individual digit of the lock can be any of the 5 digits.

So, we have:

Locks = 5 * 5 * 5

Evaluate

Locks = 125

Hence, the number of different three-digit numbers that can be set for the combination lock is 125

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Answer:

[tex]x > -1\\[/tex]

Step by step explanation:

[tex]~~~~~2(4x-3) > -3(3)+5x\\\\\implies 8x-6 > -9+5x\\\\\implies 8x > -9+6+5x\\\\\implies 8x > -3+5x\\\\\implies 8x -5x > -3\\\\\implies 3x > -3\\\\\implies x > -\dfrac 33\\\\\implies x > -1[/tex]

Answer:

15 weeks

Step-by-step explanation:

For Barbie, keep subtracting 80 from 1,500 until you get to the lowest amount.

And for Ken, keep subtracting 20 from 600.

Once you are done, you will notice that both Barbie and Ken have $300 at 15 weeks. So your answer is 15.

Photosynthesis is the process by which plants use sunlight, water, and carbon dioxide to create oxygen and energy in the form of sugar.

[tex]\pink{ \rule{1pt}{90000000pt}}\color{blue}{ \rule{1pt}{90000000pt}}\color{yellow}{ \rule{1pt}{90000000pt}}\purple{ \rule{1pt}{90000000pt}} \green{\rule{1pt}{90000000pt}}

[/tex]

If we need to turn this into a mathematical expression:

Answer: (x + y) - 9

Step-by-step explanation:

    9 less than the sum of x and y

    (the sum of x and y) - 9

    (x + y) - 9

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