tina's score on her midterm exam was at the 50th percentile. the grades were normally distributed. the exam average was 78 and the standard deviation was 6. what was tina's score on the exam?

97.5% of American women have shoe sized less than 11.19 according to standard deviation of 1.49 .

What is standard deviation?

It is a measure of how spread out numbers are. It is the square root of the Variance, and the Variance is the average of the squared differences from the Mean.

Main Body:

Here, we want to use the empirical rule to find the percentage of women with shoe sizes less than 11.19

The first thing we shall do here is to find the z-score

Mathematically, that will be calculated using the formula;

z = (x-mean)/SD

z = (11.19-8.21)/1.49

z = 2

We can see that the given value is 2 standard deviation away to the right of mean

So, we want to get the percentage that is between the mean and two standard deviations away from it using the empirical rule

So according to the empirical rule

The percentage will be

= 100-2.35-0.15

= 100-2.5 = 97.5%

To learn more about standard deviation click on the link below

https://brainly.com/question/475676

#SPJ4

The crew will take 6 hours to mulch 12 flower gardens.

Given, that

A landscaping crew can mulch 3 flower gardens in 1(1/2) hours i.e. 3/2 hours.

so, 3 flower gardens mulch = 3/2 hours

Now, we are asked that how long will it take the crew to mulch 12 flower gardens.

As, 3 flower gardens mulch = 3/2 hours

1 flower garden mulch = (3/2)×(1/3) hours

1 flower garden mulch = 1/2 hour

12 flower gardens mulch = (1/2)×12 hours

12 flower gardens mulch = 6 hours

So, it will take 6 hours by the crew to mulch 12 flower gardens.

Hence, the crew will take 6 hours to mulch 12 flower gardens.

Learn more about Unitary Method here https://brainly.com/question/28731562

#SPJ1

According to question, project managers can assess the outcomes to identify any hazards the project might encounter after it is completely executed.

These risks are frequently examined by project managers and stakeholders to decide whether they are controllable and whether it is worthwhile to move on with the entire project. An organization can control the risk of a novel concept and spot any flaws through a pilot project before significant resources are spent.

On the other hand, a trial is a limited implementation before you launch the pilot project broadly. All the advantages of a pilot project are present, but they are more thorough, and the team is frequently able to test out more features and observe the results on a wider scale.

To know more about pilot project visit :

https://brainly.com/question/16884564

#SPJ4

The property used in expression 3 x 5 = 5 x 3 will be ''Commutative property''.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 3 x 5 = 5 x 3

Now,

We know that;

The commutative property is defined as;

⇒ a x b = b x a

Hence, In the expression,

⇒ 3 x 5 = 5 x 3

The commutative property is used.

Thus, The property used in expression 3 x 5 = 5 x 3 will be ''Commutative property''.

Learn more about the commutative property visit:

https://brainly.com/question/10533180

#SPJ1

Answer: 8%

Step-by-step explanation: Rate = Interest 484 ÷ Principle (550) x Time (11), with this formula the answer is 8%.

By using the formula for area of triangle using coordinates, the following results are obtained

13) Area of triangle = [tex]\frac{15}{2} \ sq. units[/tex]

14) Area of triangle = [tex]\frac{49}{2} \ sq. units[/tex]

What is area of triangle?

Area of a triangle is the total space taken by the triangle. If the coordinates of triangle are [tex](x_1, y_1), (x_2, _2) \ and \ (x_3, y_3)[/tex], then area of triangle is calculated by the formula

Area of triangle = [tex]\frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|[/tex]

13) The given coordinates are E (3, 1), F(3, -2) and G(-2, 2)

Area of triangle =

[tex]\frac{1}{2}|3(-2-2) + 3(2-1) + (-2)(1 -(-2))|\\\\\frac{1}{2}|3(-4) + 3(1) -2(3)|\\\\\frac{1}{2}|-12 + 3 - 6|\\\\\frac{1}{2}|-15|\\\\\frac{15}{2} \ sq. units[/tex]

14) The given coordinates are E (-3, 4), F(4, 4) and G(3, -3)

Area of triangle =

[tex]\frac{1}{2}|(-3)(4-(-3)) + 4(-3-4) + 3(4-4)|\\\\\frac{1}{2}|(-3)(7)+4(-7)+3(0)]\\\\\frac{1}{2}|-21-28+0|\\\\\frac{1}{2}|-49|\\\\\frac{49}{2} \ sq. units[/tex]

To learn more about area of triangle, refer to the link-

https://brainly.com/question/17335144

#SPJ1

Answer: Mean :286.6 Median:294 Mode:169, 294, 188, 295, 487

If a decision maker wishes to reduce the margin of error associated with a confidence interval estimate for a population mean, she can increase the sample size.

The margin of error refers to the statistic measurement that expresses the level of random sampling error in the outcomes of a survey. If the margin of error of the result is high, the confidence level would be low that a result reflects the census of the entire population. It indicated the difference between the actual and estimated results in a random survey sample. The margin of error is generally used in non-survey contexts to show observational error in reporting measured quantities. In order to minimize the margin of error associated with a confidence interval estimate for a population mean, the researchers can increase the sample size to capture the actual trend of the population more accurately.

Learn more about Margin of error:

https://brainly.com/question/24289590

#SPJ4

Answer:

The answer is the screenshot shown.

Step-by-step explanation:

How to graph it in that is to check the given first.

y= -5x

x = 0

y = -5

-

So you will have to plot the line at 0 for x and for y, you should put it at -5

If y is exactly proportional to x, then the value of y at x=16 is 40 if y=5 when x=2.

[tex]&y \propto x \\[/tex]

[tex]&y=k x[/tex]

When x = 2, y = 5

[tex]&5=k(2) \\[/tex]

therefore

[tex]k=\frac{5}{2}[/tex]

When x = 16,

[tex]&y=\left(\frac{5}{2}\right) \\[/tex]

y = 40

Hence, If y is exactly proportional to x, then the value of y at x=16 is 40 if y=5 when x=2.

The complete question is:

If y is directly proportional to x and y=5 when x=2, what is the value of y when x=16?

To learn more about direct proportion, refer to:

https://brainly.com/question/20688232

#SPJ1

Answer:75 ft

Step-by-step explanation:sea level is represented as 0. going from 0 to -75 is 75 ft

The answer of the inequality is [tex]-3 < k < -\frac{1}{3}[/tex]

What does algebraic inequality mean?

An inequality in maths shows the relationship between the two values in an uneven algebraic expression. A sign of inequality can be employed to indicate that one of the two variables is less than, greater than or equal to, less than, or equal to another value.

Given That:
-16<6k+2<0
Now to solve this equation we will subtract 2 from all the side
-16-2<6k<-2
now we will divide by 6 on all the side
-18/6<k<-2/6
[tex]-3 < k < -\frac{1}{3}[/tex]
Hence this the answer to the question

Learn more about inequality
https://brainly.com/question/25275758
#SPJ9

Answer:

53

Step-by-step explanation:

if x is 13, you would simply do the following:

multiply 5 by 13 which is 65.

then subtract 65 by 12 which is your final answer, 53!

If the mill starts out with 490 tons of grain , then the amount of grain that remains to be sold after milling is 450.8 ton.

In the question ,

it is given that ,

the percent of grain that is lost due to spillage = 3%

the percent of grain that is lost due to mildew = 5%

the total percent of grain lost = grain lost due to spillage + grain lost due to mildew

= 3% + 5%

= 8% of total grain  

given that amount of grain =  490 tons .

amount of grain lost = 8% of 490

= 0.08 * 490

= 39.2 ton ,

So , 39.2 ton of grains is lost .

the amount of grain remain to be sold = 490 - 39.2 = 450.8 ton

Therefore , If the mill starts out with 490 tons of grain , then the amount of grain that remains to be sold after milling is 450.8 ton   .

Learn more about Percent here

https://brainly.com/question/23730118

#SPJ4

Using the standard form of the equation of line, the slope of the line represented by the equation 3x-4y=7 is 3/4.

In the given question,

We have to find the slope of the line represented by the equation 3x-4y=7.

The given equation is 3x-4y=7.

To find the slope we first express the given equation in the form of standard equation of line.

The standard form of equation is y=mx+c where m is slope of the equation.

Now expressing the equation in standard form.

3x-4y=7

Subtract 3x on both side

3x-4y-3x=7-3x

-4y=7-3x

Divide by -4 on both side

-4/-4 y=7/-4 - (-3)/(-4) x

Simplifying

y=3/4x-7/4

Now comparing from the standard equation to find the slope(m).

m = 3/4

Hence, the slope of the line represented by the equation 3x-4y=7 is 3/4.

To learn more about equation of line link is here

brainly.com/question/10724541

#SPJ1

The domain of the function in the graph is {yl1≤y≤9}.  Option b is the correct answer.

Graph:

The domain of a function is the collection of all conceivable values that can be used as inputs, or alternatively, it is the full range of potential values for independent variables.

A graph is an organized visual representation of any data in mathematics. The relationship between the variable quantities is depicted on the graph. In a graph theory, the set of items that are somehow connected to one another is represented by a graph. The vertices or nodes of the objects are essentially mathematical notions, and the edges between the nodes represent the relationships between the nodes. In mathematics and statistics, there are various types of graphs that are used to visually display data. The study of points and lines is known as graph theory. It is a branch of mathematics that focuses on the investigation of graphs. The mathematical truth is shown visually in this picture. Relationships are studied using graph theory.

To learn more about graph visit: https://brainly.com/question/17267403

#SPJ1

Answer:

-1

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

8,16,24

Given:

the relation between number of sandwiches and time is :

y = 8x

where, y is number of sandwiches

x is time

For 1 hour,

y = 8*1

y = 8.

For 2 hour,

y = 8*2

y = 16.

For 3 hour,

y = 8*3

y = 24.

#123

for more information about linear equation, check the link.

https://brainly.com/question/2635551?referrer=searchResults

sandwiches eaten by Jimmy in consecutive hours are 8, 16, and 24.

Given info;

Jimmy consistently consumes sandwiches. The linear equation y = 8x represents the number of sandwiches(y) that he can consume in an hour(x).

To know how many sandwiches he ate in consecutive hours;

Case(1):

y = 8x

x = 1 hour

y = 8*1

  = 8

Case(2):

y = 8x

x = 2 hours

y = 8*2

  = 16

Case(3):

y = 8x

x = 3 hours

y = 8*3

  = 24

Therefore, sandwiches eaten by Jimmy in consecutive hours are 8, 16, and 24.

To learn more about linear equation click here:

brainly.com/question/13738061

#SPJ4

Using the z table, the probability that a standard normal random variable will be between 0.3 and 3.2 is 0.3814.

In the given question,

We have to find that the probability that a standard normal random variable will be between 0.3 and 3.2 .

We firstly learn about a standard normal random variable which is expressed with a mean and standard deviation.

Since we have to find the probability that a standard normal random variable will be between 0.3 and 3.2 .

So The probability should be

P(0.3<z<3.2)=P(z<3.2)−P(z<0.3)

From the standard value of z

P(0.3<z<3.2)=0.9993−0.6179

Simplifying

P(0.3<z<3.2)=0.3814

Hence, the probability that a standard normal random variable will be between 0.3 and 3.2 is 0.3814.

To learn more about standard normal random variable link is here

brainly.com/question/14782203

#SPJ4

The measure of angle B is 40 degrees.

In this question, we have been given angle A and angle B are supplementary angles.

m∠A=(4x−16)°

and m∠B=(x+1)°

since angle A and angle B are supplementary angles,

angle A + angle B = 180°

So we get an equation,

(4x − 16)° + (x + 1)° = 180°

5x - 16 + 1 = 180

5x = 180 + 15

5x = 195

x = 39

So, x + 1 = 39 + 1

              = 40°

Therefore, the measure of angle B is 40 degrees.

Learn more about the supplementary angles here:

https://brainly.com/question/13045673

#SPJ1

Hence the complete table is ,

=>  laps        Miles

       3             3.75

       7              8.75

       8              10

      13              16.25

What is miles ?

   A mile is a unit of length that is exactly equal to 5280 feet, or 1760 yards, and was standardised as exactly 1609.344 metres by an International agreement in 1959. It is the largest unit commonly used to measure the distance between distant locations.

Here the distance 2 laps = 2.5 miles. Then ,

=> 1 laps = 2.5/2 = 1.25 miles.

Now 3 laps = 3*1.25 = 3.75 miles

Here n laps = 8.75 miles .

=> n* 1.25 = 8.75

=> n = 7 laps .

Now 8 laps = 8*1.25 = 10 miles.

And n laps = 16.25

=> n = 16.25/1.25 = 13 laps. miles

Hence the complete table is ,

=>   laps        Miles

       3             3.75

       7              8.75

       8              10

      13              16.25

To learn more about  miles

https://brainly.com/question/25631156

#SPJ13

The slopes of both lines that passes through the given points are different, therefore: d. No, they are not perpendicular because their slopes are not reciprocals.

For any two lines that passes through two set of points to be perpendicular to each other, their slopes must have a product that is equal to -1, or be negative reciprocals.

Find the slope of the line that passes through P(0, –9) and Q(2, –8):

Slope of PQ (m) = (-8 -(-9)) / (2 - 0)

m = 1/2

Find the slope of the line that passes through R(1, 4) and S(3, 3):

Slope of RS (m) = (3 - 4) / (3 - 1)

m = -1/2

The slope of both lines are not equal neither are they negative reciprocals of each other. Therefore: d. No, their slopes are not reciprocals.

Learn more about slope of perpendicular lines on:

https://brainly.com/question/1362601

#SPJ1

Multiplying vector v we get 2.5v =  (-10, 10).

What is the vector?

A vector is a quantity or phenomenon with two distinct properties: magnitude and direction. The term can also refer to a quantity's mathematical or geometrical representation. In nature, vectors include velocity, momentum, force, electromagnetic fields, and weight.

The magnitude of a vector indicates the vector's length. It is typically represented by an arrow pointing in the vector's direction. A vector a is defined as a1 ^ii^ + b1 ^jj^ + c1 ^kk^, where a1, b1, and c1 are its constituents.

We have,

v = (-4,4)

2.5v = ?

Multiplying vector v by 2.5 we get,

2.5v =  (-10, 10)

Hence, by Multiplying vector v we get 2.5v =  (-10, 10).

To learn more about the vector visit,

https://brainly.com/question/25705666

#SPJ1

The average of first 50 numbers is 25.5 because average is computed by adding a set of numbers and then dividing by the total number of those numbers.

The average of a list of data is a mathematical expression for the central value of a set of data. The ratio of all the data points to all the units in the list is how it is mathematically defined. The average of a specific set of numerical data is also referred to as the "mean" in statistics.

The four sorts of average that we recognize are mean, mode, median, and range. Although the others are our most popular "measures of central tendency," range is actually a measure of spread or distribution.

The first 50 natural numbers are 1,2,3,...,50

The sum of first n natural numbers = n(n+1)/2

Sum of first 50 natural numbers is  50(51)/2

=25(51)/2=1275

Hence, average of first 50 natural numbers is  

1275/50

=25.5

To know more about Average visit:

https://brainly.com/question/13185935

#SPJ4

The equation of the line (-4,3) and (2,-4) is y = -7/6x -5/3.

What is equation of line?

The equation of a line is the algebraic representation of a line using cartesian coordinates. The general form of the equation of a straight line is written as y = mx + c. Where m is the gradient of the straight line and c  is the y y-intercept of the straight line.

Given, the points are (-4,3) and (2,-4)

m = -4-3/2+4

m = -7/6

The equation we get

y = -7/6x +b

the point (-4,3), we get

3 = -7/6(-4) +b

3 = 14/3 +b

3-14/3 = b

b = -5/3

Hence, the equation of line is y = -7/6x -5/3.

To know more about equation of line, visit:

https://brainly.com/question/9446123

#SPJ13

The solution to the compound inequality is x > -3. The correct option is the third option x > -3

From the question, we are to solve the given compound inequality

2x - 2 > -8 or -4x ≤ -36

Solving the first inequality

2x - 2 > -8

Add 2 to both sides of the inequality

2x -2 + 2 > -8 + 2

2x > -6

Divide both sides by 2

2x/2 > -6/2

x > -3

Solving the second inequality

-4x ≤ -36

Divide both sides of the inequality

-4x/-4 ≤ -36/-4

x ≥ 9

From the two solutions, we can conclude that x > -3

Hence, the solution is x > -3

Learn more on Solving compound inequality here: https://brainly.com/question/28600203

#SPJ1

Answer:

3

Step-by-step explanation:

1 foot = 12 inches

Jana can jump 36 inches!

Divide this by 12 to get the feet:

36 / 12 = 3

Check: 12 + 12 = 24 + 12 = 36

so, Jana can jump 3 feet above the ground

The distance that a function's graph moves above and below its midline is referred to as its amplitude. When graphing a sine function, the amplitude's value corresponds to the sine function's coefficient.

The distance that a function's graph moves above and below its midline is referred to as its amplitude. When graphing a sine function, the amplitude's value corresponds to the sine function's coefficient. The height between the center line and the peak is known as the amplitude (or to the trough). Alternatively, we might multiply the height from highest to lowest places by 2. The Phase Shift is the horizontal displacement of the function from its initial point.

To know more about amplitude,

https://brainly.com/question/8662436

#SPJ4

Thus, Bao age is 27.

acc to our question-

hence,Thus, Bao age is 27.

learn more about unitary method click here:

brainly.com/question/24587372

#SPJ4