Suppose the average salary for a data scientist is $83,105 with a standard deviation of $10,503. What is the probability that the mean salary of 31 randomly selected data scientists is less than $80,000.

Answer: x = 2a over b + c

Step-by-step explanation:

1. Multiply both sides by two. This cancels out 2 and turns a into 2a. It should look like 2a = bx + cx

2) Since both b and c have x’s, we turn it into (b + c)x

3. Then divide both sides by b+c to get 2a over b + c = x

Answer:

2/5

Step-by-step explanation:

perpendicular line means the two lines' slope when multiplied together gives a answer of -1.

hence, we just need to find the slopw of the line connecting the 2 points and form an equation with -1 to get the slope the question wants.

slope of the line PQ:

(7-5)/(-3-2) = -2/5 (slope formula)

slope of the perpendicular line:

-2/5 x slope = -1

slope = (-1)/(-2.5) = 2/5

Answer:

what grade is this lol

Step-by-step explanation:

Answer:

y = 3x - (-7)

Step-by-step explanation:

As the fish starts at -7 meters below sea level, and is descending 3 meters per second, Sammy needs to subtract -7, and then multiply 3 by x. (x being the time is takes)

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

0.2, 0.21, 0.25 (1/4), 0.2666666 (4/15)

Step-by-step explanation:

Answer:

x = 19

Step-by-step explanation:

Trapezium area formula: [tex]\frac{a+b}{2} * h[/tex], where a & b are the two bases.

Now, if we plug in our known values, we can solve for the missing base.

[tex]\frac{5 + x}{2} * 4 = 48[/tex]

[tex]\frac{5 + x}{2} = 12\\\\5 + x = 24\\\\x = 19[/tex]

Answer:

Yes I would have to agree with Goliath, x = 19.

Step-by-step explanation:

You can mark Goliath Brainlest if you want they did the answer first.

Her room's location is 3 right from the origin, or (0,0) , and 3 down from the origin. She is in the 4th quadrant.

(I'm not quite sure how I'm supposed to describe it...)

Answer:

✅Figure E has more area

✅Figure E has 5.14 units² much more than Figure D.

Step-by-step explanation:

The logic to solving this kind of problem is to decompose and each of the figure to find out how many squares and circles are there in each figure, them calculate the area of each figure using the formula for area of square and area of a circle.

✍️Figure D:

Figure D is composed of 2 squares and 4 semicircles (2 full circles).

Since side length of 1 square = 1 unit, therefore, radius of the semi-circle/circle = 1 unit.

Area of the 2 squares = 2(s²) = 2(1²) = 2 unit²

Area of the 2 full circles = 2(πr²) = 2(3.14*1²) = 6.28 unit²

Area of Figure D = 2 + 6.28 = 8.28 unit²

✍️Figure E:

Figure E is composed of 4 squares and 6 quarter circles (3 full circles).

Area of the 4 squares = 4(s²) = 4(1²) = 4 unit²

Area of the 3 full circles = 3(πr²) = 3(3.14*1²) = 9.42 units²

Area of figure E = 4 + 9.42 = 13.42 unit²

✅Therefore, we can conclude that Figure E has more area.

✅Figure E has 5.14 unit² more area than Figure D (13.42 - 8.28 = 5.14).

Answer: 80 votes

Step-by-step explanation: Solve the formula for l. A) l ... 01/18/2017. Mathematics · High School. answered. The surface area of a cone is given by the formula S = πl + πr2. ... all of the 2's are to the power of R the 5/3.14's are fractions. 2 ... Incognit-oh-no… ... and 219 more users found this answer helpful. Thanks 140. 4.7. (80 votes).

The surface area of a cone is given by the formula S = πl + [tex]\pi r^2[/tex], the formula for I will be l = S/3.14 – [tex]r^2[/tex]. The correct option is C.

The surface area of a three-dimensional shape is the amount of space that surrounds it.

Starting with the given formula:

[tex]S = \pi l + \pi r^2[/tex]

We want to solve for l.

First, we can isolate the term with l on one side of the equation by subtracting [tex]\pi r^2[/tex] from both sides:

[tex]S - \pi r^2 = \pi l[/tex]

Then we can divide both sides by π to isolate l:

[tex]l = (S - \pi r^2) / \pi[/tex]

Therefore, the solution is:

[tex]l = (\frac{S}{\pi} - r^2)[/tex]

Thus, the correct option is C.

For more details regarding surface area, visit:

https://brainly.com/question/29298005

#SPJ7

Your question seems incomplete, the probable complete question is:

The surface area of a cone is given by the formula S = πl + πr2. Solve the formula for l.

A) l = S – r2

B) l = S + r2

C) l = 5/3.14 – r2

D) l = 5/3.14 + r2

all of the 2's are to the power of R

the 5/3.14's are fractions

Answer:

Step-by-step explanation:

Find the slope and then the equation of line.

(x₁ , y₁) = (2 , 2)   & (x₂, y₂) = (6 , 10)

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

        [tex]= \frac{10 - 2}{6 - 2}\\\\= \frac{8}{4}\\\\= 2[/tex]

m = 2

Equation of the line: y - y₁  = m(x - x₁)

              y - 2 = 2 (x - 2)

              y - 2 = 2x - 4

                   y = 2x - 4 + 2

                  y = 2x - 2  --------------(I)

(a, 8)  

Plug in x = a & y = 8 in (I)

8  = 2a - 2

8 + 2 = 2a

10   = 2a

a = 10/2

a = 5

(4 , b)

Plug in x = 4 & y = b in (I)

b = 2*4 - 2

b = 8 - 2

b = 6

Answer:

dog peas

Step-by-step explanation:

donkey peas

Step-by-step explanation:

2vt= (ht²/2) - 2c - r

v= ((ht²/2) -2c -r) / 2t

v= ht/4 - c/t - r/2t

Answer:

26

Step-by-step explanation:

9 x 2= 18

18+34= 52

52/2= 26

Answer:

The 90% confidence interval is  [tex]0.199 <  p < 0.261 [/tex]

The sample size to develop a 95% confidence interval is [tex]n = 2032 [/tex]  

Step-by-step explanation:

From the question we are told that

   The sample size is n =500

    The sample proportion is  [tex]\^ p = 0.23[/tex]

From the question we are told the confidence level is  90% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645[/tex]

Generally the margin of error is mathematically represented as  

     [tex]E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]

=>   [tex]E =  1.645 * \sqrt{\frac{0.23 (1- 0.23)}{500} } [/tex]

=>   [tex]E =  0.03096 [/tex]

Generally 90% confidence interval is mathematically represented as  

      [tex]\^ p -E <  p <  \^ p +E[/tex]

=>    [tex]0.23  -0.03096  <  p < 0.23  +  0.03096 [/tex]

=>   [tex]0.199 <  p < 0.261 [/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

The margin of error is given as [tex]E = 0.01[/tex]

Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>    [tex]n = [\frac{1.96 }{0.01} ]^2 *0.23 (1 - 0.23 ) [/tex]      

=>    [tex]n = 2032 [/tex]  

Answer:

70

Step-by-step explanation:

Answer:

10 minutes

Step-by-step explanation:

Speed = distance ÷ time, so 40 ÷ 4 = 10

hope this helps :)

Answer:

a) The percentage of the shareholders who attended the meeting is 3%.

b) The percentage of the shareholders who did not vote at all is 7%.

Step-by-step explanation:

a) Data and Calculations:

Outstanding shares = 2,351,000

Number of shareholders = 111,273

Number of shareholders who attended the meeting = 3,411

The percentage of the shareholders who attended the meeting = 3,411/111,273 * 100

= 3.065

= 3%

Absent shareholders = 107,862 (111,273 - 3,411) and own 1.8 million shares

Proxy voters =               100,000

Non-voting shareholders 7,862

Therefore, the percentage of shareholders who did not vote at all

= 7,862/111,273*100

= 7.0655

= 7%

Answer:

The score of the dropped grade is 6

Step-by-step explanation:

To find the average of a set of numbers you need to add all the numbers and divide by how many numbers there are. The problem wants you to solve it in reverse. Let put this into an algebraic equation with a, b, c, d, and e being the variables of the test scores

(a+b+c+d+e)/5=10

Then we can multiply both sides by 5 and get

a+b+c+d+e=50

Lets assume that c is the lowest test score. To calculate the average of that we get

a+b+d+e/4=11

Doing the same thing, we know that a+b+d+e=44

Now compare the two:

a+b+c+d+e=50

a+b+d+e=44

We can now know that c=50-44=6

So, 6 is the score of the dropped quiz. Hope that helped!

Answer:

50 what

Step-by-step explanation:

Answer:

Divident

Step-by-step explanation:

Answer:

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: [tex]y = \frac{1}{2}x-2[/tex]

Step-by-step explanation:

Given two points are:

[tex](x_1,y_1) = (12,4)\\(x_2,y_2) = (20,8)[/tex]

Slope intercept form of line is given as:

[tex]y = mx+b[/tex]

Here m is the slope of the line and b is the y-intercept.

Slope of a line is calculated by the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Putting the values

[tex]m = \frac{8-4}{20-12}\\m = \frac{4}{8}\\m=\frac{1}{2}[/tex]

Putting the value of slope in slope-intercept form we get

[tex]y = \frac{1}{2}x+b[/tex]

To find the value of b, any one point will be put in the equation

Putting the first point (12,4) in the equation

[tex]4 = \frac{1}{2}(12) + b\\4 = 6+b\\b = 4-6\\b = -2[/tex]

Putting the value of b

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

Hence,

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: [tex]y = \frac{1}{2}x-2[/tex]

Answer:

The margin of error is  [tex]E = 6.9 [/tex]

The 95% confidence interval is  [tex] 26.5  <  \mu < 40.3 [/tex]  

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  31

     The mean is  [tex]\mu = 33.4 \ ng/ml[/tex]

      The standard deviation is  [tex]\sigma = 19.6 \ ng/ml[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>  [tex]E = 1.96  *  \frac{19.6  }{\sqrt{31 } }[/tex]

=>  [tex]E = 6.9 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=> [tex] 33.4  - 6.9 <  \mu < 33.4  +  6.9 [/tex]

=> [tex] 26.5  <  \mu < 40.3 [/tex]  

Answer:

June is correct.

Step-by-step explanation:

June is correct because Common Multiples are what we get after multiplying the number while common factors are what we can multiply to get the number.

The given expression is

=ab+cd+ef+gh

The meaning of expression is equal to terms which contains variables and constants and operation between them is Addition, Subtraction,  Multiplication and Division.

→The expression consists of four terms which are, ab, cd, ef, and gh.

→Each term contains

Two factors.

plz mark as brainliest

sure what’s the problem

Answer:

it is -1.5.

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

hope this helps

Hello i need help with that too

Answer: g (x)=(x -2)(3x +3)

lesser x = -1

greater x = 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Part A.

Coordinates of A and B are,

A(-2, 2) and B(3, 2)

Rule for dilation of a point (x, y) by a scale factor k about the origin,

(x, y) → (kx, ky)

If the points A and B are dilated by a scale factor 3, image points will be,

A(-2, 2) → A'(-6, 6)

B(3, 2) → B'(9, 6)

Part B.

Following the same rule of dilation about the origin by a scale factor of [tex]\frac{1}{2}[/tex] about the origin,

A(-2, 2) → D(-1, 1)

B(3, 2) → [tex]C(\frac{3}{2},1)[/tex]