URGENT
The time it takes Susan to drive to work each day is normally distributed with a mean of 42 minutes and a standard deviation of 4 minutes.

Approximately what percent of workdays does it take Susan between 38 and 46 minutes to drive to work?


50%

68%

95%

99.7%

Answers

Answer 1

Answer:

99.7%

Step-by-step explanation:

the standard deviation is 4 minuet but  there is always outliers so thats  why its not 100% of the time and the minutes are  coverd  by the deviation.  

Answer 2

Answer:

68%

Step-by-step explanation:

The attached normal table shows area under the standard normal curve that are to the left of a particular z-score.

To find the area between two z-scores, say [tex]z_1 < z_2[/tex], find the area to the left of [tex]z_2[/tex] then subtract the area to the left of [tex]z_1[/tex].  That difference is the area between the two z-scores.

38 minutes has a z-score [tex]z_1=\frac{38-42}{4}=-1[/tex]

46 minutes has a z-score [tex]z_2\frac{46-42}{4}=1[/tex]

Find z= 1.0 in the table. The area in that row is .8413.

Find z=-1.0 in the table.  The area in that row is .1587.

The difference, .8413 - .1587 = .6826 is the area under the normal curve between z=-1 and z=1.

.6826 is about 68%


Related Questions

A website lists homes for sale in a suburban town. The site provides information including neighborhood, selling price, number of bedrooms, and whether the home has a garage. What are the individuals in this setting?

homes
neighborhoods
selling prices
bedrooms


answer is homes

Answers

Based on the description above, the individuals in this setting is option A: homes.

Whys the setting home?

The website lists homes for sale in a suburban town and provides information such as neighborhood, selling price, number of bedrooms, and whether the home has a garage.

In this case each house is an instance or a data point of a "home" object, these objects have different attributes or features like neighborhood, selling price, number of bedrooms and garage, these attributes are used to describe the characteristics of the home, they are also called features.

Therefore, each home is an individual unit being sold on the market. Neighborhoods, selling prices, and bedrooms are attributes or characteristics of the homes, and they help provide more information about each individual home being listed.

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Assume that lines which appear tangent are tangent

Answers

Answer:

B

Step-by-step explanation:

Remark

This is a monster when you first come across it, but later on you will not be fooled.

Construction

Draw a line from E to the center of the circle. Label the center of the circle OOE and OF are both radii. They form the central angle of the ArcEF

Solution

Find the value of Arc EF

The value of Arc EF = 360 - 244 = 116

The value of <FOE also = 116. (The arc and the central angle are equal.)

ΔFOE = 116 degrees                See above statement

ΔFOE is isosceles                   Two of it's sides are radii.

The two base angles can be solved. Call each one x

2x + 116 = 180                           All triangles have 180 degrees

     -116    -116                            Subtract 116 from both sides

2x = 64                                     Divide by 2

x = 32                                        <EFO = 32

<EFO = 90                               Where the tangent meets the radius forms a 90o angle.

<EFO + GFE = 90

32 + GFE =90

GFE = 90 - 32

GFE = 58

Answer: B

Answer:

b

Step-by-step explanation:

360-244/2= 116/2=58 or b

what can 16 and 4 both be divided by​

Answers

Answer:

4

Step-by-step explanation:

they can both be divided by 4

Find the Surface area and volume of the larger figure:

scale factor = 1:3
SA = 81 cm^2
V = 135 cm^3

Plz help

Answers

SA = 243cm^2
V=405 cm^3

Radicals
How do I Simplify
(4√5-3)(√5-2)


Answers

Answer:

26 - 11√5

Step-by-step explanation:

(4√5-3)(√5-2)

= 4√5 (√5-2) -3 (√5-2)

= 4√5 √5 + 4√5 ⋅ -2 -3 (√5-2)

= 4√5 √5 + 4√5 ⋅ -2 -3√5 -3 ⋅ -2

= 26 - 11√5

If you can, please give me a Brainliest; thank you!

hellppppp gangyy nnn

Answers

The correct answer is option c as DE/AE=BC/AC

What is the slope of the line?

In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate. The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx. Where “m” is the slope of a line. So, tan θ to be the slope of a line.

Given here ΔADE ≈ΔABC and thus  DE/AE=BC/AC

but tanθ = DE/AE=BC/AC where tan θ is the slope of the line thus both the lines have identical slopes.

Hence, The correct answer is option c)  ΔADE ≈ΔABC thus DE/AE=BC/AC Therefore the slope of AD is the same as the slope of AB

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How do you find the unknown part of a right triangle?

Answers

To find the unknown part of a right triangle, you can use the Pythagorean theorem or the trigonometric ratios.

A right triangle is a triangle that has one angle measuring exactly 90 degrees, this angle is called the right angle.

To find the unknown part of a right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (the hypotenuse). The formula is:

a² + b² = c²

Where c is the length of the hypotenuse and a and b are the lengths of the legs.

You can use this theorem to find the length of a missing side, if you know the length of the other two sides. For example, if you know the lengths of the two legs (a and b) and you need to find the length of the hypotenuse (c), you can use the formula:

c = √(a² + b²)

Alternatively, if you know the length of the hypotenuse (c) and one leg (a), you can use the formula to find the length of the other leg (b):

b = √(c² - a²)

Another way to find the unknown part of a right triangle is the use of trigonometric ratios. As you know, in a right triangle, there are three main ratios: sine, cosine, and tangent. These ratios are defined as follows:

Sin(A) = a/c

Cos(A) = b/c

Tan(A) = a/b

Where A is one of the acute angles of the triangle, and a,b,c are the sides of the triangle. By using the known side and the known angle you could find the unknown side.

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Find all the missing elements:
B
40°
a
120°
A
8
С
C = [?]° a = [ ] C = [ ]
Enter

Answers

Answer:

a=10.8; c=4.3

Step-by-step explanation:

The sum of all the angles in a triangle is 180 degrees.

Two of the angles are given as 40 deg and 120 deg.

Subtract the measures of both from the sum to get the last angle:

180-40-120=20; ∠C=20°

Using Law of Sines: [tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]

[tex]\frac{a}{sin120}=\frac{8}{sin40}; a=\frac{8*sin120}{sin40}; a=10.77837084[/tex]

[tex]\frac{c}{sin20}=\frac{8}{sin40}; a=\frac{8*sin20}{sin40}; c=4.25671109[/tex]

Answer:

c=20 a=10.8 c=4.3

Step-by-step explanation:

It takes 52 yards of fabric to make 8 costumes for the dance recital. How many yards are needed to make one costume?

Make a Ratio Table

(MUST INCLUDE THE TABLE!!)

Answers

Total 6.5 yards , fabaric are needed to make one costume for the dance recital.

We have , Total lengths of fabaric present for making costumes = 52 yards

Total number of costumes for the dance recital made from 52 yards = 8

we have to calculate the length of fabaric in yards are used for make one constume .

Let the " x yards " be the fabric length used to make one constume.

Now, total fabric length used to make 8 conatumes = 8x yards

but it will be equals to 52 yards . So, we get a simple linear equation with one variable, i.e

=> 8x = 52

=> x = 52/8

=> x = 6.5

So, the required fabric length is 6.5 yards .

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A cylindrical aluminum soda can is to hold 12 ounces of tasty beverage. What are the dimensions of the can that will minimize the amount of aluminum used

Answers

A cylindrical can with volume 355 ml will use the least aluminum if its radius is about 3.84 cm and its height is about 7.67 cm.

What is a reasonable approximation for the volume of a soda can?

The soda cans are advertised as having a volume of 12 ounces, or 355 milliliters. The remaining head space is just under 25 ml. The can weighs about 13 g by itself. 39 g, or about 11%, of sugar, make up 355 ml of Coke.

How much pressure does a 12 oz. soda can typically hold?

When canned at 4 °C and stored at 20 °C, 12 oz. soda cans typically have pressures of about 120 kPa and 250 kPa, respectively. A 7UP® can that has been refrigerated contains 210 kPa of pressure. Pepsi-Cola®, on the other hand, has 276 kPa at about 16 °C.

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Does 3 4 5 make a right triangle?

Answers

Answer:

Yes

Step-by-step explanation:

The side lengths are a Pythagorean triple.

How do you compare two slopes on a graph?

Answers

Two slopes can be compared on a graph by analyzing the steepness of the lines and their direction (positive or negative).

The steepness of a line on a graph is determined by its slope, which is the ratio of the change in y to the change in x (rise over run). A steep line has a large slope, meaning that for a small change in x, there is a large change in y. A shallow line has a small slope, meaning that for a small change in x, there is a small change in y. To compare two slopes, one can compare the steepness of the lines by comparing the absolute value of the slopes.

If one line has a larger absolute value than the other, it is steeper. Additionally, one can also compare the direction of the slope, which is determined by the sign of the slope. A positive slope indicates that the line is increasing and a negative slope indicates that the line is decreasing. By comparing the steepness and direction of the slopes, one can determine whether the two lines are parallel or not, and whether they are going in the same direction or not.

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A type of medicine is given in a 100-milligram dosage. The medicine comes in 14-gram bottles. How many 100-milligram dosages are in a bottle?

Answers

Answer:

140 doses

Step-by-step explanation:

1 gram = 1000 milligrams

1 gram = 10 doses

10*14 = 140

maggie has a rectangular box with a length of 6 1/2 of 9 inches and hieght of 3 1/2 inches
what is the volume of the box

Answers

V = & x w x h

V = 6 1/2 x 9 x 3 1/2

V = 204 3/4

So answer is 204 3

                             4

Mario's pizzeria puts olive pieces along the outer edge (periphery) of the crust of its 18-inch (diameter) pizza. Assuming that the pizza is cut into eight slices and that there is at least one olive piece per inch of crust, find how many olive pieces you will get in one slice of pizza.

Answers

Answer:

Radius= 9 in.

Circumference= 2π*9=56 (rounded)

So you'd get at least 56 pieces in the crust of the pizza.

Divide the answer by 8 to get the average number of piece per slice.

56/8

= 7 pieces approximately.

thenks and pls mark me brainliestt :))

Is the equation a linear equation? xy+2y=8

Answers

Yes, it is a linear equation.

Answer:

NO it is not linear

Step-by-step explanation:

hey please,  i wanna help you and everybody viewing this go to m a t h w a y put your answer in and when it asks to "how should i answer" look up determine if linear.

Simplify 16x+34(12x−4)

Answers

Answer:

424x - 136

Step-by-step explanation:

16x + 34 ( 12x - 4 )

= 16x + 408x - 136

= 424x - 136

Answer: 424x-136. Good luck:)

Identify similarities and differences in finding the volume of cylinders, cones, and spheres.

Answers

The volume of the cone is one third the volume of the cylinder.

The volume of a sphere is 2/3 of the volume of a cylinder with same radius, and height equal to the diameter

How to illustrate the information?

Similar to a prism, a cylinder has two bases, but they are circles rather than polygons. A cylinder's sides are also curved rather than flat. A cone has a vertex that is not on the base and a single circular base. The sphere is a figure in space with equal distances between each of its points and the center.

The cone's volume is one-third that of the cylinder. A sphere's volume is 2/3 that of a cylinder with the same radius, and its height is equal to its diameter.

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I) if y varies directly as x and inversely as the square root of z, and y = 1/6 when x = 20 and z = 6, determine y when x = 14 and z = 5

Answers

Answer: Since y varies directly as x and inversely as the square root of z, we can write the following equation:

y = kx/(sqrt(z)), where k is a constant.

We can find the value of k by substituting the known values into the equation. We get:

1/6 = k*20/sqrt(6)

k = 1/240

Substituting this value of k into the original equation, we get:

y = (1/240)x/(sqrt(z))

Substituting the values x = 14 and z = 5 into this equation, we get:

y = (1/240)(14)/(sqrt(5)) = 7/120 sqrt(5) ≈ 0.22

Step-by-step explanation:

**Help**

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What is the percent that the temperature of a ufo that hits in the middle of the Arctic and is eaten by a giraffe is 72 degrees?

Answers

Answer:

67°

Step-by-step explanation:

TYAJSJSHSSNDNDBSBSBSBBSD

Pls help me with this no links please and Thank you

Answers

The top graph is correct because an x=# will create a vertical line at that #

Answer:

im sorry you need to take a better pic i can see the graphs

Carla Arslanian is 55 years old. She wants to purchase a $100,000, 10 year term life insurance policy. The premium per $1000 is $8.95. What is her annual premium?

Answers

Answer:

$863

Step-by-step explanation:

Given: Carla Arslanian is 55 years old. She wants to purchase a $100,000, 10-year term life insurance policy.

To find: What is her annual premium?

Solution: Insurance companies use mathematical calculation and statistics to calculate the number of insurance premiums they charge their clients.

Annual premium = face value x rate $100

Annual premium (for building) = $100,000 ÷ $1000 x 10 = $1000.  

The sum of the annual premium is $863.

How many pieces of 2/3 yard can I cut if I have 6 1/3 yards of material

Answers

Answer:

9

Step-by-step explanation:

6 1/3 yards of material is 19/3 yards total. 6 yards broken into thirds is 18/3. 18 divided by 2 is 9. There are 9 total pieces to cut, and an extra 1/3 left over

What is the area of a square that has a side length of (4x+5)?

Answers

The answer to the question is 16x^2 + 40x + 25

You need to split it in half then multply then add

Answers

Answer:

378 because 6×7 is 42 and 16×21 is 336 and them and get. 378

Help on this which one is the answer???:((:))

Answers

Answer:

A

Step-by-step explanation:

Which number is less than -1.5?
1. -1
2.-1.5
3.-1 1/3
4.-1 2/3

Answers

Answer:

4.) -1 2/3

Step-by-step explanation:

it means -1.66666666

-1 2/3 because it is less

(x - 13)

155 solve for x

It equals 180 but I don’t know how to solve it

Answers

The solution of x in the given linear equation (x - 13 + 155 = 180) is equal to 38.

To solve the equation (x - 13 + 155 = 180), we need to pursue the following steps.

Step 1. Move all terms to the left:

⇒(x - 13 + 155 - (180)) = 0

Step 2. Add all the numbers jointly, and all the variables

⇒(x - 38) = 0

Step 3. Get rid of parentheses

⇒x - 38 = 0

Step 4. Transfer all terms including x to the left, and all other terms to the right

⇒x = 38

Hence, the required solution of x in the given linear equation (x - 13 + 155 = 180) is 38.

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Need this question quick 20 points

Answers

On solving the provided question we can say that the rectangular form of the equation is y = -1

What is equation?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

Ф = [tex]\pi[/tex]/2

y = - 1

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At a recent graduation at a naval flight school, 18 Marines, 10 members of the Navy, and 3 members of the Coast Guard got their wings. Choose three pilots at random to feature on a training brochure. Find the probability that there will be

Answers

Probability measures how probable something is to occur.

What  the probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, if we are unclear of how an event will turn out. Statistics is the study of occurrences subject to probability.

Probability is a measure of how likely something is to happen.

18 Marines, 10 Navy personnel, and 3 Coast Guard troops received their wings at a recent naval aviation school graduation.

Total: 18 + 10 + 3 = 31

a. 1 of each.  P = C 18 * C 10 * C 3  / C 3 31  

= (18 * 10 * 3) / 4495 = 0.120

b: 0 members of the navy = (C_{21} ^ 3)/(C_{21} ^ 3) = 1330/4495 = 0.296

c: 3 Marines.

p = (G ^ 3)/(C_{31} ^ 3) = (8 + 6)/4495 = 0.182

The complete question is

At a recent graduation at a naval flight school, 18 Marines, 10 members of the Navy, and 3 members of the Coast Guard got their wings. Choose three pilots at random to feature on a training brochure. Find the probability that there will be

a.1 of each 0.120  b.  members of the Navy 0.296 c.  Marines 0.182.

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