Evaluate and simplify the expression when
x = 10 and y = 7

5+y/ 6x = ? / ?

Using the z-distribution, as we have the standard deviation for the population, it is found that the 99.7% confidence interval is given by:

[tex]112.5 \pm 3\frac{37.5}{\sqrt{96}}[/tex]

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

99.7% confidence level, hence[tex]\alpha = 0.997[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.997}{2} = 0.9985[/tex], so [tex]z = 3[/tex].

The other parameters are:

[tex]\mu = 112.5, \sigma = 37.5, n = 96[/tex]

Hence, the interval is:

[tex]112.5 \pm 3\frac{37.5}{\sqrt{96}}[/tex]

To learn more about the z-distribution, you can check https://brainly.com/question/25890103

Answer:

120

Step-by-step explanation:

25 X 3 = 75%    40 X 3 = 120

The 75 percent of the number whose 35% is 40 is evaluated being equal to 120

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

Suppose the number we're taking about be 'x'.

Then, as stated in the question, we get:

25% of x = 40

or

[tex]\dfrac{x}{100} \times 25 = 40\\{x} \times \dfrac{25}{100} = 40\\\\x \times \dfrac{1}{4} = 40\\\\\text{Multiplying 4 on both the sides, we get:}\\\\x = 160[/tex]

Now, we've found the number. It is 160. Its 75% is evaluated as:

[tex]\dfrac{x}{100} \times 75 = \dfrac{160}{100}\times 75 = \dfrac{160 \times 3}{4} = 120[/tex]

Thus, the 75 percent of the number whose 35% is 40 is evaluated being equal to 120

Learn more about percent here:

https://brainly.com/question/11549320

Answer:

Slope=-1.4

Step-by-step explanation:

Slope= Rise/Run, basically calculate how much higher up and further out the first plot is from the second one! So start at the first plot, go down 7 to get to the same level as the bottom one. SO your first number is -7. Next, go over 5 to reach the same point where the second point is. Your second number is 5. So the slope is -7/5, or -1.4

Hope this helps:)

Answer:

-7/5

Step-by-step explanation:

We need to take the two points and use the slope formula

( -2,4) and (3,-3)

m = (y2-y1)/(x2-x1)

    = (-3-4)/(3- -2)

   = (-3-4)/(3+2)

    =-7/5

Answer:

y -y1=y2-y1/x2-x1(x-x1)

Answer:

A ≈ 132.73 m²

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Area of a Circle Formula: A = πr²

Step-by-step explanation:

Step 1: Define

Identify variables

r = 6.5 m

Step 2: Find Area

Answer:

This is incorrect as 1/8 plus 3/5 is 29/40

Step-by-step explanation:

:)

Answer:

Susan is incorrect.

Step-by-step explanation:

First, what we do is add 1/8 + 3/5

Our result will be 4/13 because 1+3 = 4 would be as the numerator, and 8+5 = 13 would be as the denominator.

We can't simplify 4/13.

If we did increase the number, however, it would be 8/26, which is not close to the answer.

Therefore, Susan is incorrect.

-kiniwih426

9514 1404 393

Answer:

  A. 3+ (-4) = -1

Step-by-step explanation:

The arrow indicates a subtraction of 4, or an addition of -4. The only equation containing such a subtraction or addition is choice A.

Answer:

-13.333

Step-by-step explanation:

This is the answer to:

-8(-2 1/3)-(2(4) to the power of 2

Hope this helps!

Answer:

Marty's with a slope of 1/3

Step-by-step explanation:

The functions Marty and Ethan wrote are analyzed the find the slope of each of the function

The equation Marty wrote is presented here as follows;

[tex]y + 3 = \dfrac{1}{3} \cdot\left (x + 9 \right)[/tex]

Marty's equation can be written in slope and intercept form, y = m·x + c, as follows;

[tex]y = \dfrac{1}{3} \cdot\left (x + 9 \right) - 3[/tex]

[tex]y = \dfrac{1}{3} \cdot x + \dfrac{9}{3} \right) - 3 = \dfrac{1}{3} \cdot x + 0[/tex]

[tex]y = \dfrac{1}{3} \cdot x[/tex]

By comparison, the slope of the function, m = 1/3

[tex]\therefore \ the \ slope \ of \ Marty's \ function, \ y + 3 = \dfrac{1}{3} \cdot\left (x + 9 \right), \ m =\dfrac{1}{3}[/tex]

Marty's function has a slope of m = 1/3

Ethan has the following two column table;

[tex]\begin{array}{rl}x&y\\-4&9.2\\-2&9.6\\0&10\\2&10.4\end{array}[/tex]

The slope, m, of the data in the above table is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Taking any two points, (x₁, y₁) = (-4, 9.2), and (x₂, y₂) = (2, 10.4), we get;

[tex]Slope, \, m =\dfrac{10.4-9.2}{2-(-4)} = \dfrac{1.2}{6} = \dfrac{1}{5}[/tex]

Ethan's function has a slope of m = 1/5

Therefore;

Marty's slope of 1/3 is larger, given that 1/3 > 1/5.

Answer:

C. Marty’s with a slope of 1/3

Step-by-step explanation:

Did the test and got it correct

value of x= 7√3

Hope it helps you...

Answer: 172.05

Hope this helps

Given the system of equations below:

[tex] \large{ \begin{cases} y = 2x + 1 \\ - 4x + 2y = 2 \end{cases}}[/tex]

The first equation is y-isolated so we can substitute in the second equation.

[tex] \large{ - 4x + 2(2x + 1) = 2}[/tex]

Use the distribution property to expand in and simplify.

[tex] \large{ - 4x + 4x + 2 = 2} \\ \large{0 + 2 = 2 \longrightarrow 2 = 2}[/tex]

The another method is to divide the second equation by 2.

[tex] \large{ \frac{ - 4x}{2} + \frac{2y}{2} = \frac{2}{2} } \\ \large{ - 2x + y = 1}[/tex]

Arrange in the form of y = mx+b.

[tex] \large{y = 1 + 2x \longrightarrow y = 2x + 1}[/tex]

When we finally arrange, compare the equation to the first equation. Both equations are the same which mean that both graphs are also same and intersect each others infinitely.

For more information, when the both sides are equal for equation - the answer would be infinitely many. If both sides aren't equal (0 = 4 for example) - the answer would be none. If the equation can be solved for a variable then it'd be one solution.

Answer

Hope this helps. Let me know if you have any doubts!

Answer:

The probability that he chooses trees of two different types is 30%.

Step-by-step explanation:

Given that a landscaper is selecting two trees to plant, and he has five to choose from, of which three of the five are deciduous and two are evergreen, to determine what is the probability that he chooses trees of two different types must be performed the following calculation:

3/5 x 2/4 = 0.3

2/5 x 3/4 = 0.3

Therefore, the probability that he chooses trees of two different types is 30%.

Answer:

Actually the right answer is 60%! Not 30 %!  (つД｀)･ﾟ･

Step-by-step explanation:

Answer:

z = 12

All values greater than 12

Step-by-step explanation:

Question 1:

Solve for z on 25z = 300

300 / 25 =

(100/25) * 3 =

4 * 3 = 12

Question 2:

25z > 300

All values greater than 12

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

x ≈ 29.4 ft

Step-by-step explanation:

The model is a right triangle.

Using the tangent ratio

tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{35}[/tex] ( multiply both sides by 35 )

35 × tan40° = x , then

x ≈ 29.4 ft ( to 1 dec. place )

Answer:

16(sin 30degrees) = BC

BC = 8

Answer:

I dont know what graph it requires to because u didnt show any graphs :)).....is there anything else I could help u with?

Step-by-step explanation:

Answer:

$18

Step-by-step explanation:

30% discount means it's selling at 70%

70% = .7

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

.7x = 12.60

Divide both sides by .7

x = 18

Answer:

Pic1 answers:

P(blue) = 4/26,

P(yellow or green) = 14/26

P(purple) = 0.0%

P(red or green) = 18/26

P(not pink) = 26/26

P(not blue) = 22/26

Pic2 answers:

P(u) = 1/12

P(Vowel) = 6/12

P(a,b,c,d,e) = 4/12

P(Not A) = 10/12

P(vowel or consonant) = 12/12

P(not an m,s,t) = 9/12

Answer:

x = -3 ; y = -6

Step-by-step explanation:

x = y + 3

-2x + 4y = -18

-2(y+3) + 4y = -18

-2y -6 + 4y = -18

2y = -12

y = -6

x = -6+3

x = -3

Answer:

x = -3    y = -6

Step-by-step explanation:

x = y + 3

x - 3 = y

-2x + 4(x - 3) = -18

-2x + 4x - 12 = -18

2x = -6

x = -3

x = y + 3

-3 = y + 3

-6 = y

Answer:

Step-by-step explanation:

The 2 figures are similar so corresponding sides are in the same ratio.

The factor is the value that you have to multiply a side in the first rectangle to get the corresponding side in the second rectangle.

12 ----> 9  

So:

12 * f = 9     where f is the factor

f = 9/12 = 3/4.

Answer:

[tex] {6}^{ - 3} \\ = \frac{1}{ {6}^{3} } \\ = \frac{1}{216} [/tex]

Answer:

1/6^3

Step-by-step explanation:

6^-3

1/6^3

Note if any base has it's power negative then just do its reciprocal the exponent will be positive.

For example:

5^-y

1/5^y

Answer:

The answer is D. 3

Answer:

x < 1

Step-by-step explanation:

2(x-7)<-12

Divide by 2

2(x-7)/2<-12/2

x-7 < -6

Add 7 to each side

x-7+7 < -6+7

x < 1

Answer:

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

Step-by-step explanation:

Use the formula for the mean: sum of elements / number of elements

Let x represent her first exam score.

Her second exam score can be represented by x + 11, since it was 11 points better than her first.

Her third exam score can be represented by (x + 11) + 5, since it was 5 points better than her second.

Plug in all of these expressions into the mean formula. Plug in 87 as the mean, and plug in 3 as the number of elements (since there are 3 scores):

mean = sum of elements / number of elements

87 =  ( (x) + (x + 11) + (x + 11) + 5 ) / 3

Add like terms and solve for x:

87 = (3x + 27) / 3

261 = 3x + 27

234 = 3x

78 = x

So, her first score was a 78.

Find her second score by adding 11 to this:

78 + 11 = 89

Find her third score by adding 5 to the second score:

89 + 5 = 94

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.