Question 4 find the indicated probability or percentage for the normally distributed variable. the volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. what is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz?

Answers

Answer 1

Answer: 40.13% of the soda bottles will have a volume less than 32 oz.

First, we need to find the z-score. That is the number of standard deviations below the mean.

(32 - 32.3) / 1.2 = -0.25

A bottle of 32 oz is -0.25 standard deviations below the mean. Use a standard normal distribution probability table and you will find the 40.13% of the scores are below a z-score of -0.25.

Related Questions

At a sale, books are sold at $90.75 each, which is 75 percent of the original price. What is the original price

Answers

[tex] \frac{75}{100} = \frac{90.75}{x} \\ x = \frac{90.75 \times 100}{75} = \frac{9075}{75} = 121[/tex]
the answer is 121

Final answer:

To find the original price of the book, we can set up an equation: 0.75x = $90.75. Solving for x, we find that the original price is $121.

Explanation:

To find the original price of the book, we can set up an equation. Let's denote the original price as x. The sale price is 75% of the original price, which can be expressed as 0.75x. We are given that the sale price is $90.75, so we can set up the equation:

0.75x = $90.75

To solve for x, we divide both sides of the equation by 0.75:

x = $90.75 / 0.75

Using a calculator, we can calculate that the original price of the book is $121.

use the graph for all 3 question
1) Henry, a 41-year-old male, bought a $100,000, 10-year life insurance policy through his employer. Henry is paid biweekly. what is his annual life insurance premium?
A)$455
B)$578
C)$1033
D)$1368

2) Karen, a 52-year-old female, bought a $75,000, 20-year life insurance policy though her employer. Karen is paid weekly. How much is deducted from her paycheck for life insurance?
A)$10.86
B)$25.33
C)$35.12
D)$50.65

3) Nikos, a 39-year-old male, bought a $300,000, 20-year life insurance policy.
What is the total amount he will pay for 20 year of coverage?
A)$13,650
B)$27,300
C)$30,990
D)$61,980

Answers

Just took this quiz so here are the right answers:
1.) Henry- $578
2.) Karen- $25.33
3.) Nikos- $61,980
Hope it helps!(:

Answer:

1: B) $578

2: B) $25.33

3: D) $61,980

Step-by-step explanation:

1) Henry's premium = ($100,000 / $1,000) x $5.78 = $578

2) Karen's total premium = ($75,000 / $1,000) x $17.56 = $1,317

if she is paid weekly, then the premium must be divided by 52 weeks = $1,317 / 52 weeks = $25.33 deducted per week

3) Nikos's premium per year = ($300,000 / $1,000) x $10.33 = $3,099

times 20 years = $3,099 x 20 = $61,980

help please.
1. Oatmeal costs $1.73/lb.

How much would 2.6 lb of oatmeal cost?
(Points : 1)
$1.50
$4.48
$4.50
$4.58

Question 2. 2. What percent of $520 is $494?
(Points : 1)
5%
11%
26%
95%

Answers

1) multiply price per pound by number of pounds.

1.73/lb * 2.6 pounds= $4.498= $4.50

ANSWER: C) $4.50

2) set up a proportion. 494 is what % out of 520 as x is what out of 100.

$494/$520= x/100
cross multiply
(494*100)= (520*x)
49400= 520x
divide both sides by 520
95%= x

ANSWER: D) 95%

Hope this helps! :)

The amount that 2.6 lb of oatmeal cost is $4.50.The percent of $520 that is $494 is 95%.

Cost:

1. Cost of oatmeal:

Cost of oatmeal=1.73/lb× 2.6 pounds

Cost of oatmeal= $4.498

Cost of oatmeal= $4.50 (Approximately)

2. Percentage:

Percentage=494/520×100

Percentage=95%

Inconclusion the amount that 2.6 lb of oatmeal cost is $4.50 and the percent of $520 that is $494 is 95%.

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60 PTS, Will Mark Brainliest

Listed in the Item Bank are key terms and expressions, each of which is associated with one of the columns. Some terms may display additional information when you click on them. Drag and drop each item into the correct column. The order does not matter.

Answers

1 and 8 are alternate exterior
1 and 5 are corresponding angles
2 and 6 are corresponding angles
2 and 7 are alternate exterior
3 and 5 are alternate interior
3 and 6 are consecutive interior
3 and 8 are corresponding
4 and 5 are consecutive interior
4 and 6 are alternate interior
4 and 7 are corresponding

What is the value of tan D?

Answers

Hey there!

As according to the mathematical acronym SOH CAH TOA (Sin Opposite Hypotenuse, Cos Adjacent Hypotenuse, Tan Opposite Adjacent), the correct answer would be the first choice, [tex] \frac{12}{5} [/tex].

The reason behind this is because the tangent value of an angle is always the length value opposite of given angle over the value adjacent (or right next to) the given angle.

In this case, the question is asking for Tan D. The side value opposite of angle D would be 12, and the length value that is adjacent to angle D is 5.

Therefore, the value of tan D would be [tex] \frac{12}{5} [/tex].

Hope this helps and I hope you have a marvelous day! :)

The value of tan D would be as follows:

[tex]\frac{12}{5}[/tex]

Find the value of Tan

Given that,

A right-angled triangle EFD,

As we know,

Tan = Opposite sides' length/adjacent sides' length

So,

it is given that,

The length of the opposite side = 12

Adjacent Side's length = 5

∵ The value of Tan D [tex]= 12/5[/tex]

Thus, the above-mentioned answer is correct.

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In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 8m? Enter your answer in the box

Answers

8 root 3 will be the answer

It is 16m, since the length of the hypotenuse is double the shorter leg according to the special triangle rules.

Please Help me !!Q 1,2,3

Answers

The area of a parallelogram is the product of the length of the base and the height measured perpendicular to the base.

1i) (20 cm)*(12 cm) = 240 cm^2

2ii) (7 cm)*(7.5 cm) = 52.5 cm^2

3iii) 27 cm^2 = (6 cm)*h
.. h = (27 cm^2)/(6 cm) = 4.5 cm

There are 250 degrees in the sum of the interior angles of a polygon. Always, sometimes, never

Answers

The answer is never.

The answer to this is Never.

A small software company has two customer service representatives.The supervisor of he customer service department determines that there is an 85% probabiiy that a customer sevice representative will e on the phone with a customer at any given time. what is the probability o both representatives being on the the phone at the same time?,

Answers

To find the aggregate probability of two independent events occurring, we multiply the independent probabilities together. So, if the chance of each agent being on the phone is 0.85, then we multiply 0.85*0.85 to find the chance of them both being on the phone. Doing with, we find that there is a 72.25% probability of both of the agents being on the phone simultaneously.

Answer:

The probability that both customer representatives are on the phone at the same time is 72.25%.

Step-by-step explanation:

Consider the provided information.

There is an 85% probability that a customer service representative will be on the phone with a customer at any given time.

There are 2 customer service representatives.

To find the probability that both customer representatives are on the phone at the same time, we multiply the independent probabilities together.

0.85×0.85=0.7225

Hence, the probability that both customer representatives are on the phone at the same time is 72.25%.

John has opened 8 gifts and 6 of them have been toys. What is the probability that the next Gift ?he opens will be a toy

Answers

well lets do ratios to fractions to solve this.

6:8=3/4.

John has a 3/4 probability of opening another toy.

Hope this helps!

Roberto will save 1/6 of his allowance each day. If he gets $2.00a day, about how much money will be save each day? Round your answer to the nearest penny.

Answers

He will save 33.333333 cents per day.

The measure of an angle is 45°. what is the measure of a supplementary angle?

Answers

Supplementary angle : the sum of two angles has to equal to 180.

45 + x = 180

x = 135

so the answer is 135°.

what’s the answer to
2(x+6) + 3x +4

Answers

First you would use the distributive property to multiply each term in the parentheses by 2. You should get something like this:
2x + 12 + 3x + 4
Next, combine all like terms (terms with x, and terms without x).
5x + 16
That is the final answer, because it cannot be simplified any further. Hope this helps!

What is the length of ST, to the nearest tenth of a yard?

Answers

Let's say that ST is side b
Use the Law of Sines to find side b.
b / sin(B) = a / sin(A)
b / sin(59°) = 7 / sin(79°)
b = (sin(59°) x 7) / sin(79°)
b = 6.112

That is answer B.) 6.1 yards

Hope this helps!

Answer: Second Option is correct.

Step-by-step explanation:

Since we have given that

ΔSRT is a triangle with measures :

SR = 7 yd

∠T = 79°

∠R = 59°

We need to find the side ST say x.

We will use " Law of Sines " :

[tex]\frac{\sin T}{SR}=\frac{\sin R}{ST}\\\\\frac{\sin 79^\circ}{7}=\frac{\sin 59^\circ}{x}\\\\0.14=\frac{\sin 59^\circ}{x}\\\\x=\frac{\sin 59^\circ}{0.14}\\\\x=6.12\ yd[/tex]

Hence, the length of ST = 6.1 yd.

Therefore, Second Option is correct.

A regular hexagon has a perimeter of 120 m. Find its area. Leave your answer in simplest radical form.

Answers

To find the area of any regular shape, its formula is

(1/2) • a • p

Where a is the apothem (a line from the center of a side to the center of the shape) and p is the perimeter.

We have the perimeter: 120

Now to find the apothem. To find it, we’re going to cut any sidelength in half, and the line from that half to the center of the hexagon will form a right triangle. We know the bottom leg (where the shape is) is 10 (since 120/6 = 20, and we cut that in half). All we need is angles. To find the interior angle of any regular shape, we use

(180(n - 2))/n

Plugging in, we get 120 degrees for every side. Since we cut it in half, then the top angle of our right triangle is 60. You know what that means? We’ve just found a 30, 60, 90 triangle.

Using the laws of this special triangle, the length of the apothem is the shortest leg times sqrt(3)

So, 10sqrt(3) is your apothem.

Plug everything in!

(1/2) • a • P

(1/2) • 10sqrt(3) • 120

Your area is 600sqrt(3)

What is the locus of all points equidistant from lines X and Y in the figure?

Answers

The can picture that the locus of points equidistant from two parallel lines is the line exactly between them. From two intersecting (non-parallel line), you get a straight line that bisects the two lines.

More details about X and Y in this question would be really helpful!

1/3 of birds egg hatch in two eggs hatch how many eggs did the bird lay

Answers

6 eggs because 1/3 is 2.
2/3 is 4.
3/3 is 6.

Hope this helped☺☺

The total number of eggs a bird laid is 6 eggs.

To solve this problem we need to break it down step by step:

Assuming 1/3 of the eggs hatch means 2 eggs hatch, so if two eggs hatch, this represents 1/3 of the total eggs laid.

To find the total number of eggs the bird laid, we need to find the equivalent of 1 whole (the total). If 1/3 is equal to 2 eggs, then the whole (3/3 or 1) would be 6 eggs.

Use the table to determine the location with the greatest amount of rainfall and the location with the least amount of rainfall.
a.Using complete sentences, identify the location with the greatest amount of rainfall and the location with the least amount of rainfall, and express the ratio of their respective rainfalls as a whole number.
b. Describe what this ratio tells you.

Needles, California 0.1173 m
Mt. Waialeale, Hawai'i 11.4 m
Puako, Hawai’i 25.6 cm
Death Valley, California 57 mm
Mojave, California 160 mm
Hilo, Hawai'i 480 cm,

Answers

The location with the greatest amount of rainfall is Waialeale, Hawai'i, with 11.4 meters. The location with the least amount of rainfall is Death Valley, California, with 57 millimeters. The ratio between these respective rainfalls is 200 mm to 1 mm.

The other person answered Part A, so I'll answer Part B (at least I'll try my best to)

"With every 200 millimeters of rain in Waialeale, there will be 1 millimeter of rain in Death Valley." <- This is what I put for B

Sorry I'm late and if I'm wrong, good luck to everyone who sees this

A basketball player scores 162 points in 9 games. at this rate, how many points will she score in a 24-game season? answer

Answers

The answer would be 432 points.

162/9 = 18 points per game

18 points x 24 games = 432

Wich fraction is equivalent to negative 7 over 8

Answers

-14 over 16.. have a nice day!

Which unit would you use to measure the weight of a flea?
mg
g
ounces
kg

Answers

you would use mg because this unit is to measure small things.

: Below are two expressions. Simplify each and then choose the statement that is true.

Expression #1

Expression #2

Expression 1: (3x2)3x^2

Expression 2: (3x^3)^2(x^2)

The exponents in Expression #1 are greater than the exponents of Expression #2.
The exponents on Expression #2 are greater than the exponents of Expression #1.
The exponents of Expression #1 are the same as the exponents of Expression #2.
The relationship cannot be determined with the given information.

The answer I got was A

Answers

First, what we should do is simplify both expressions.
We have then:

Expression 1:
(3x2) 3x ^ 2
(9x ^ (2 + 2))
9x ^ 4
Expression 2:
(3x ^ 3) ^ 2 (x ^ 2)
(9x ^ 6) (x ^ 2)
(9x ^ (6 + 2))
9x ^ 8
Answer:
The exponents on Expression # 2 are greater than the exponents of Expression # 1.
(8> 4)

Which object would be best measured in ounces?

A.
strawberry

B.
bed

C.
car

D.
horse

Answers

A. the others are way too big to measure in ounces

Choose the equation of the vertical line passing through the point (-2, 3).

y = 3

x = 3

y = -2

x = -2

Question 10 (Multiple Choice Worth 5 points)

[4_05]Choose the equation of the horizontal line that passes through the point (-5, 1).

y = -5

x = 1

y = 1

x = -5,

Answers

I think these are the answers for a and b

a) = -2

b) = 1

Choose the equation of the vertical line passing through the point (-2, 3). A vertical line goes up and down through point (-2, 3), so every point on the line will have the same x coordinate. For example, (-2, 0) and (-2, 1) and (-2, -1) all fall on that vertical line. Therefore, the equation for the line is x = -2 Choose the equation of the horizontal line that passes through the point (-5, 1). A horizontal line goes left and right through point (-5, 1), so every point on the line will have the same y coordinate. For example, (-1, 1) and (0, 1) and (1, 1) all fall on that horizontal line. Therefore, the equation for the line is y = 1.

Mickey’s beagle has a mass of 15 kilograms. His dachshund has a mass of 13 kilograms. What is the combination of both?

Answers

A combination is the weight of the two dogs added. If one dog weighs 15 kilos, while the other weighs 13 kilos, we must add 15 to 13. 15 plus 13 is 28, so the combination of the two dogs is 28.

What is 2 ¾% in decimal form?

Answers

Hello There!

2 3/4 = 2 + 3/4

2 + ( 3 ÷ 4 )

2 + 0.75 = 2.75

Hope this helped!

The answer is 2 3/4% equals 2.75

Trey wants to plant grass in his backyard. His backyard is in the shape of a rectangle. Its length is 31
feet and its width is 24
feet. Suppose each pack of seed covers 12
square feet. How many packs of seed will he need to cover the backyard?

Answers

Find the total area of the yard in feet.

Area of a rectangle is length x width.

31 x 24 = 744

Divide the total area of the yard by the coverage of the seeds.

744/12 = 62

He will need 62 packs of seed.

Final answer:

To find out how many packs of seeds Trey needs, we need to first determine the area of his backyard which is 744 square feet. Each pack of seed cover 12 square feet. Therefore, dividing the total area by the area a pack of seed covers, we find that he needs 62 packs of seeds.

Explanation:

The subject of this question is Mathematics. Specifically, it involves the concept of area and multiplication, commonly taught in middle school. Trey's backyard is in the shape of a rectangle, and we know that the area of a rectangle is calculated by multiplying its length by its width. In this case, the length is 31 feet and the width is 24 feet. Multiplying these numbers gives us a total area of 744 square feet.

Each pack of seed covers 12 square feet. So, to figure out how many packs Trey needs, we would divide the total area by the area each pack covers. Dividing 744 by 12 gives us 62, which means Trey will need to buy 62 packs of seeds.

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Answer ASAP

Find the area for this shape

Answers

[tex] A_{trapeziod} = \frac{1}{2} ( b_{1}+ b_{2})h[/tex]
so...
A = 1/2(4.9 + 1.5)(4)
A = 1/2(6.4)(4) = [tex]12.8 km^{2}[/tex]

This shape is a trapezoid too.

A = [tex] \frac{a+b}{2} (h)[/tex]
A = [tex] \frac{1.5+4.9}{2} (4) [/tex]
A = 12.8

The area is 12.8 km²

How do I solve #21???? Please don't just give me the answer.... tell me how u got it... thanks!

Answers

XZ = " 5.831 units " .
_______________________________________________

XY = 3 units (obtained from counting on the graph provided).

YZ = 5 units (obtained from counting on graph provided).
_______________________________________________

To find ZX (the hypotenuse); use the Pythogorean Theorem:

→ 3² + 5² = c² ; in which "c" = ZX ;

→ c² = 3² + 5² = 9 + 25 = 34 ;

→ c² = 34 ;

To find "c" ; take the positive square root of each side of the equation;
to isolate "c" on one side of the equation; & to solve for "c" ;

→ √(c²) = √34 ;

→ c = 5.8309518948453005 ;

→ round to: "5.831 "
_______________________________________________________

Which expression is equivalent to -18a^-2 b^5/-12a^-4 b^-6? Assume a=0, b=0.

a- 2a^2 b^11/3
b-2a^2 b^30/3
c-3a^2 b^11/2
d-3a^2 b^30/2

Answers

c. since:
coefficients: 18/-12 = -3/2
exponents of a: -2-(-4)=2
exponents of b: 5-(-6)=11

The required expression is (-3/2)a²b¹¹ which is equivalent to the given expression. which is the correct answer would be option (C)

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression is given in the question as:

-18a⁻² b⁵/-12a⁻⁴ b⁻⁶

To find the equivalent expression for -18a⁻² b⁵/-12a⁻⁴ b⁻⁶, we need to combine the constants and factors that have the same base and exponent.

You can begin by combining the constants in the fraction: -18/-12 = -3/2.

Next, you can simplify the terms involving the variables. Recall that when you divide two powers with the same base, you subtract the exponents. Therefore, you can simplify the expression as follows:

(-3/2)(a⁻² ÷ a⁻⁴ (b⁵ ÷ b⁻⁶)

= (-3/2)(a⁻⁴ a⁴) (b⁵ b⁶)

= (-3/2)(a²)(b¹¹)

= (-3/2)a²b¹¹

This is the simplified form of the given expression.

Hence, the correct answer would be option (C)

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