4. The annual salaries of employees in a large company are approximately
normally distributed with a mean of $50,000 and a standard deviation of
$20,000:1
a) What percent of people earn less than $40,000?
b) What percent of people earn between $45,000 and $65,000?
c) What percent of people earn more than $70.000

Answer:

y = 25

Step-by-step explanation:

Since AE and BC are parallel, then

∠AED = ∠BCE = 110° ( corresponding angles )

Since EF is the angle bisector of ∠AED, then

∠AEF = ∠FED = 55°

∠AFE and ∠DFE form a straight angle, thus

∠AFE = 180° - 80° = 100°

The sum of the angles in ΔAEF = 180°, thus

y = 180 - (55 + 100) = 180 - 155 = 25

the value of the angle EAF will be 15 degrees.

When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

Given a figure:

The diagram shows a quadrilateral ABCD.

AE is parallel to BC.

EF is the angle bisector of angle AED

Since ∠AFE and ∠EFD are supplementary angles.

And ∠EFD = 80 degrees

Thus,

∠AFE +∠EFD = 180

∠AFE = 100

Since AE is parallel to BC.

∠BCE and ∠AED will be the same

Thus, ∠AED = 110°

Since EF is the angle bisector of angle AED.

∠AEF will be 55°

So in ΔAEF

∠AED = 110°

∠AEF = 55°

From the property of the triangle

The sum of All angles is 180°.

Thus

∠A + ∠E + F = 180°

y + 110 +55 = 180

y = 15

therefore, the value of ∠EAF will be 15 degrees.

Learn more about Complementary angles here:

https://brainly.com/question/5708372

#SPJ2

Final answer:

In the U.S., the metric system is used in scientific, medical, and nutritional contexts, with units like liters for beverages, grams for food nutrition labels, and millimeters or centimeters for scientific measurements.

Explanation:

To find something in the U.S. that is measured in metric units, one needs to look no further than scientific or medical fields. For example, beverages such as soda are commonly sold in liters, which is a metric unit of volume. Moreover, medications are often measured in milligrams or grams. If we explore other common usages, we find that the nutrition facts on food products provide information in grams and milliliters.

In academics, specifically in science classes, the metric system is the standard for measuring length, with units like millimeters, centimeters, meters, and kilometers. The metric system's fundamental units include the meter (m) for length, the kilogram (kg) for mass, and the second (s) for time. When estimating conversion to metric units, it's also important to choose the appropriate measurement tool based on the size of the object being measured.

Final answer:

In the U.S., the metric system is often used in science, medicine, and industries involving international standards. Common examples include nutritional information on food labels and the labeling of bottled beverages. It is also used for some athletic event distances like 5K and 10K races.

Explanation:

When trying to find something in the U.S. that is measured in metric units, one can look at scientific settings. In the United States, the metric system is primarily used in science, medicine, and in industries where international standards are important. For example, scientists usually use the International System of Units (SI), which includes meters to measure length and kilograms to measure mass. Although the U.S. commonly uses the customary system with units such as inches and pounds, metric units are often found on nutrition labels, where calories, sugar content, and other nutritional information are listed in grams or milliliters.

Some everyday items that might be measured using the metric system include bottled beverages (usually listed in liters or milliliters), medications (measured in milligrams or grams), and distances in some athletic events, such as 5K and 10K races (measured in kilometers)

Answer:

2n + 4 = 8

Step by Step explanation:

"twice a number" means to multiply 2 by a number

"plus 4" is telling you to add 4 to 2n

"is 8" means equals 8

so, that means 2n + 4 = 8

I hope i helped :)

Answer:

m= -243

Step-by-step explanation:

1. inverse operations so division into multiplication: 9 x (-27)=

remember negative times positive is negative

therefore u get -243

Answer:

Part A) [tex]1*10^{6}\ angstroms^{2}[/tex]

Part B) [tex]1*10^{-10}\ cm^{2}[/tex]

Step-by-step explanation:

Remember that

When multiply numbers in scientific notation, multiply the coefficients and then add the exponents

Part A) what is the area of this surface in square angstroms?

The area is equal to

[tex]A=(1*10^{3})( (1*10^{3})=(1)*(10^{3+3})=1*10^{6}\ angstroms^{2}[/tex]

Part B) What is the surface area in square centimeters

we know that

1 angstrom=10^-10 m

so

1 angstrom=10^-8 cm

Convert angstroms to cm

[tex](1*10^{3})\ angstroms=(1*10^{3})*(10^{-8})=(1*10^{-5})\ cm[/tex]

The area is equal to

[tex]A=(1*10^{-5})(1*10^{-5})=(1)*(10^{-5-5})=1*10^{-10}\ cm^{2}[/tex]

Answer:

Step-by-step explanation:

Answer:

At this rate he can ride his bike 10 miles in 60 minutes.

Step-by-step explanation:

I divided 60 by 12 which is 5.

Then I multiplied 2 by 5 which is 10. So, this was the simplest way of getting to 10 miles in 60 minutes from 2 miles in 12 minutes.

Yours truly,

Que.

Answer:

At this rate he can ride his bike 10 miles in 60 minutes.

Step-by-step explanation:

I divided 60 by 12 which is 5.

Then I multiplied 2 by 5 which is 10. So, this was the simplest way of getting to 10 miles in 60 minutes from 2 miles in 12 minutes.

The icy one,

Que.

Answer:

Okay they're going to be the same answer so solve like this

Step-by-step explanation:

2x+20=3x-30

Answer:

10 weeks

Step-by-step explanation:

The number of weeks will be 10. Then the correct option is C.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Briyana has $150, and she needs to save at least $560 is the fewest number of full weeks Briyana  for a spring break trip.

If she can save $45 would have to work to have enough money per week.

Let w be the number of weeks.

Then the inequality will be

45w + 150 ≥ 560

Simplify the inequality, then the number of week will be

45w + 150 ≥ 560

         45w ≥ 560 – 150

         45w ≥ 410

             w ≥ 410 / 45

             w ≥ 9.11

Then the number of weeks will be 10.

Then the correct option is C.

The question was incomplete, but the complete question is attached below.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ6

Answer: Whole numbers less than zero are called negative integers. The integer zero is neither positive nor negative, and has no sign. Two integers are opposites if they are each the same distance away from zero, but on opposite sides of the number line. Positive integers can be written with or without a sign.

Step-by-step explanation:

so she started on 9 then she went down 8 so 9 - 8 = 1. then she went up 11 floors.so 1 + 11= 12. that's your answer. 12

Answer:

Step-by-step explanation:

h(t) = 2t 2 – 11t – 10 is the answer

The value of h(t) is h(t) = 2t^2 – 11t – 10.

To add or subtract functions, just add or subtract the values at each point where it makes sense.

How to find h(t) = f(t) – g(t)?

Two dams, when opened, release water at different rates. The following functions represent the amounts of water the dams release over t minutes:

Given : Dam A  f(t) = 5t^2 – 7t – 1

Dam B : g(t) = 3t ^2 + 4t + 9.

Then f(t) – g(t) = (5t^2-7t-1) -(3t^2+4t+9)

=> 2t^2 – 11t – 10.

Thus, h(t) = 2t^2 – 11t – 10.

Learn more about functions on : https://brainly.ph/question/5332663

#SPJ2

The required difference between polynomial 2x^2+7x+6-(3x^2-x) is,
-x^2+8x+6.

To simplify 2x^2+7x+6-(3x^2-x)

Polynomial is defined as the sum of more than one variable in terms of their power.

Here,
[tex]=2x^2+7x+6-(3x^2-x)\\=2x^2-3x^2+7x+x+6\\=-x^2+8x+6[/tex]

Thus, the required difference between polynomial 2x^2+7x+6-(3x^2-x) is, -x^2+8x+6.

Learn more about polynomial here:
https://brainly.com/question/11536910

#SPJ2

The length of segment AD is found by subtracting the length of CD from that of AC, which gives AD = 18 - 5 = 13.

In this problem, you are given the lengths of segments AC and CD. The question is asking you to find the length of segment AD. This looks like a problem of segment addition in geometry. Segment addition postulate states that if a point B lies on a line segment AC, then the whole length of the segment AC equals the addition of AB + BC. In this case, however, we are given that the whole length AC equals 18, and a part of it, CD equals 5. To find the length of the unknown segment AD, we now need to subtract CD from AC. Therefore, using the segment addition postulate, we can solve this problem as follows:

AD = AC - CD

AD = 18 - 5

AD = 13

So, the length of segment AD equals 13.

https://brainly.com/question/14957499

#SPJ3

Answer:3/7 is the equivalent fraction of 15/35.

Step-by-step explanation:

Divide both by 5. Hope this helped you.

Answer:

Equivalent fraction to 15/35 is 3/7 .

since 5 has common factor of both numerator and denominator so divide both by 5. hence we get the values which is equivalent to 15/35.

Answer:

12x +14

1.) divide both sides but 12 to get the variable alone

12x becomes just the variable x

14 is now 1.16 with the 6 having a line above it showing its repeating.

x = 1.16 repeated

Answer:42.46444

Step-by-step explanation: 4.57×4.04x2.3

I think 42.46444 is the answer

The percentage uncertainty for each measurement, sum them, and apply this to the area, resulting in an uncertainty of approximately 0.0350 m².

To calculate the area of a rectangular room, you multiply the length by the width. In this case, we have been provided with the measurements for the length (3.955 "+/-" 0.005 m) and the width (3.050 "+/-" 0.005 m). Multiplying these measurements gives us the area of the room, albeit with some uncertainty due to measurement errors.

First, calculate the area using nominal values:

Area = Length x Width = 3.955 m x 3.050 m = 12.07275 m²

To compute the uncertainty in the area, apply the rule for the multiplication of quantities with uncertainties:

The percentage uncertainty for both the length and the width is:

Length: 0.005 / 3.955 = 0.001264 (about 0.1264%)

Width: 0.005 / 3.050 = 0.001639 (about 0.1639%)

Add the percentage uncertainties:

Total percentage uncertainty = 0.1264% + 0.1639% = 0.2903%

Apply this to the area:

Uncertainty in area = 0.2903% of 12.07275 m² ≈ 0.0350 m²

Therefore, the area of the room with its uncertainty is:

12.07275 m² "+/-" 0.0350 m² (approximately, we could round the nominal area to 12.073 m² and the uncertainty to 0.035 m² due to significant figures)

Answer:

Variable Y is equal to 7.5.

Step-by-step explanation:

First, open the brackets:

18 + 20y - 8 = -140

Second, subtract 18 and add 8 from/to both sides.

20y = -140 - 18 + 8

20y = -150

Third, divide by 20.

y = 7.5

Answer:

A. 48.7cm

Reason:

The way to find circumference is Pi times the diameter so simply do this:

[tex]15.5 \times \pi = 48.694686[/tex]

round it and you'll get to 48.7cm

Hope it helps :)

Sorry if not :(

Answer: A. 48.7 cm

Step-by-step explanation:

The circumference of circle is given by :_

[tex]\text{Circumfernce}=\pi d[/tex] , where d= diameter of the circle .

In the given [picture , we are given that the diameter of the circle = 15.5 cm

Then, the circumference of the circle will be :-

[tex]\text{Circumfernce}=\pi (15.5)\ cm[/tex]

Substitute [tex]\pi =3.14[/tex] , we get

[tex]\text{Circumfernce}=(3.14) (15.5)\ cm[/tex]

[tex]\text{Circumfernce}=48.67\approx48.7\ cm[/tex]

Hence, the approximate circumference of the circle = 48.7 cm

Thus , the correct answer is 48.7 cm  .

Answer:

from 0 to 12 hours, that is [tex]0\leq x\leq 12[/tex]

Step-by-step explanation:

Notice that the x represents the number of phone hours used, therefore it has to be a number larger or equal zero, but NOT a negative number.

So on one end we have that the number of phone hours used (x) must be larger or equal zero: [tex]x\geq 0[/tex]

On the other hand, when the battery goes to zero, there are no more phone hours to use. We can find what is that other limit by making the battery percent (y variable) equal to zero, and solve the equation for x, thus giving us the upper limit of usable phone hours:

[tex]y=0=100-\frac{25}{3} x\\\frac{25}{3} x=100\\25 x = 100*3 = 300\\x = \frac{300}{25} = 12[/tex]

Therefore, the upper limit for the number of usable phone hours is 12 hours.

Then we write:

[tex]0\leq x\leq 12[/tex] hours

Answer:

Symmetry

Step-by-step explanation:

Because the two sides are equally the same. Basically identical.

Answer:

0

Step-by-step explanation:

10 protons and 0 electrons gives the atom a positive charge. 10 electrons and 0 protons gives the atom a negative charge. Therefore 10 protons and 10 electrons gives the atom a net charge of 0 and the charge of the atom is neutral. HOPE THIS HELPS! PLEASE VOTE THIS BRAINLIEST!!!!!!!!!!!!!!

The atom is neutral, with 10 protons (+1 each) and 10 electrons (-1 each), resulting in a net charge of 0 due to equal positive and negative charges.

The net charge of an atom is determined by the balance between its protons and electrons.

Protons carry a positive charge of +1, while electrons carry a negative charge of -1.

In a neutral atom, the number of protons is equal to the number of electrons, resulting in a net charge of 0.

This implies, the atom has 10 protons (positive charges) and 10 electrons (negative charges).

Since the number of protons is equal to the number of electrons, the net charge of this atom is 0. It is a neutral atom.

learn more about net charge here

brainly.com/question/30938481

#SPJ3

Answer:

an integer is any whole number

if it is 5 below sea level then it is -5

Step-by-step explanation:

think of sea level like 0

Answer:

3

its formula is y2-y1(/x2-x1)

Hey!

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

Formula: [tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

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

Steps To Solve:

~Substitute

[tex]m = \frac{1 - (-5)}{4 - 2}[/tex]

~Simplify

[tex]m = \frac{6}{2}~or~3[/tex]

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

Answer:

[tex]\large\boxed{C)~3}[/tex]

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

Hope This Helped! Good Luck!

Answer:

15.

[tex]\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.[/tex]

16. 10 ml of 20% saline and 40 ml of 10% saline

Step-by-step explanation:

A chemist takes x ml of 20% saline and y ml of 10% saline. In total, he takes

x + y ml that is 50 ml, so

[tex]x + y = 50.[/tex]

There are  [tex]0.2x[/tex] ml of salt in x ml of 20% saline and [tex]0.1y[/tex] ml of salt in 10% saline. There are [tex]0.12\cdot 50=6[/tex] ml of salt in 50 ml of 12% saline. Thus,

[tex]0.2x+0.1y=6[/tex]

15. We get the system of two equations:

[tex]\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.[/tex]

16. Solve this system. From the first equation:

[tex]x=50-y[/tex]

Substitute it into the second equation:

[tex]0.2(50-y)+0.1y=6\\ \\10-0.2y+0.1y=6\\ \\-0.1y=6-10\\ \\-0.1y=-4\\ \\y=40\\ \\x=50-y=50-40=10[/tex]

Answer:

1,596

Step-by-step explanation:

79800 is divisible by 50

well, Marcus and Ben are both 5 feet tall and a little bit more, Marcus is 19/24 more and Ben is 9/16 more, so the 5's in the fraction are the same, so which one is larger, 19/24 or 9/16?

we can simply put both fractions with the same denominator, by multiplying one by the other's denominator, so let's proceed,

[tex]\bf \stackrel{\textit{\large Marcus is taller}}{5~feet + \left( \cfrac{19}{24}\cdot \cfrac{16}{16}\implies \boxed{\cfrac{304}{384}} \right)}\qquad \qquad \qquad \stackrel{\textit{\large Ben}}{5~feet + \left( \cfrac{9}{16}\cdot \cfrac{24}{24}\implies \boxed{\cfrac{216}{384}} \right)}[/tex]

Answer:

A.

Step-by-step explanation:

We can round off the values for estimation.

29,354 can be rounded off to 30,000, which is

[tex]3 \times 1 {0}^{4} [/tex]

Similarly, 6,156,782,221 can be rounded off to 6,000,000,000 which is

[tex]6 \times 1 {0}^{9} [/tex]

Now we divide these two terms.

[tex](6 \times 1 {0}^{9} ) \div (3 \times 1 {0}^{4} )[/tex]

[tex]6 \div 3 = 2[/tex]

so it cannot be options B or D.

[tex]1 {0}^{9} \div 1 {0}^{4} = 1 {0}^{5} [/tex]

Hence, by estimation, it is

[tex]2 \times 1 {0}^{5} [/tex]

times more.

Answer:

D. $674.68

Step-by-step explanation:

We will use the well known equation for compound interest

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

Where

Plugging in what we know from the question:

[tex]A = 500(1+\frac{0.03}{12})^{12 \times 10}\\A = 500(1.34935355)\\A = 674.68[/tex]

So the answer is D.

Hope this helps!