At a local company, the ages of all new employees hired during the last 10 years are normally distributed. The mean age is 34 years old, with a standard deviation of 10 years. Find the percent of new employees that are no more than 40 years old. Round to the nearest percent.

Answer:

B. 2/5

Step-by-step explanation:

First we write down the numbers.

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20.

Multiplies of three or five above are: 6,9,10,12,15,16,19,20   (there are 8)

So 8/20.

8/20 simplified is 2/5

So, it's B.

im pretty sure true because they do not intersect and are not parallel :)

Answer:

true

Step-by-step explanation:

Answer:

2000

Step-by-step explanation:

500/0.25.     :) hope this helped

Comstock Nut Company can make 400 packages of peanuts by dividing the total weight of peanuts (500 pounds) by the weight of each package (1.25 pounds). Ounces or grams would be suitable to measure a handful of peanuts.

To calculate how many packages Comstock Nut Company can make, we simply divide the total weight of the peanuts by the weight of each package. They have 500 pounds of peanuts and each package weighs 1 and 1/4 pounds (which is the same as 1.25 pounds).

Number of packages = Total weight of peanuts ÷ Weight per package

Number of packages = 500 pounds ÷ 1.25 pounds/package

When you divide 500 by 1.25, you get 400. Therefore, Comstock Nut Company can make 400 packages of peanuts.

When it comes to choosing the best unit of measurement, for a handful of peanuts, we would typically use ounces or grams since they are small quantities that don't weigh much, similar to how Jeffrey should use ounces to label packages of steak when most are less than a pound.

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Answer:

B since 6 is a whole number for hours it would be 6 and 15 is 1/4 of 60 it would be 0.25 meaning, 6.25

Step-by-step explanation:

The time card will have 6.25 hours.

To convert units of measurement for time, here are the steps.

Step #1: Identify the units used.

Step #2: Determine the relationship between the units.

Step #3: Determine the conversion factor (in fraction form).

Step #4: Multiply the original measurement by the conversion factor.

Given:

6 hours and 15 minutes

= 6 + 15/60

=6 + 1/4

=6+0.25

=6.25 hours

Learn more about time conversion here:

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It is equal to 7.2

Hope this helps.

Answer:

7.2

Step-by-step explanation:

Imagine math 2021

Answer:

the answer is C.  20/27 cubic cm.

Step-by-step explanation:

V = LWH

length 5(1/3 cm)

width 2(1/3 cm)

height 2(1/3 cm)

V = (5/3 cm) (2/3 cm) (2/3 cm)

V = 20/27 cubic cm.

Answer:

c

Step-by-step explanation:

Answer:

Cone

Step-by-step explanation:

the base is formed when the triangle is turned in a circle. the base is a triangle.

Answer:

When a triangle has two congruent sides it is called an isosceles triangle

Step-by-step explanation:

Answer:

1.333 cups

Step-by-step explanation:

if you divide 6 by 4.5 you get 1.333

Answer:

D

Step-by-step explanation:

The zero of the function is the point on the x- axis where the graph crosses

That is x = - 5

Answer: OPTION D

Step-by-step explanation:

The zero of the function is the intersection of the function with the x-axis.

A function intersects  the x-axis when the value of y is zero ([tex]y=0[/tex])

Then, you can observe in the graph attached that the function intersects the x-axis at the point (-5,0), where the x-coordinate is -5 and the y-coordinate is 0:

[tex]x=-5\\y=0[/tex]

Therefore, you can identify that the zero of the function shown in the figure is:

[tex]x=-5[/tex]

This matches with the option D.

Answer:

Step-by-step explanation:

You have to set each runner's plan equal to each other because they are equal in the end. You start with 7 miles for Angelo and 4 miles for Marc.

x is a variable that is multiplied by the number of weeks it takes for both runners' distances to be equal. So multiply x by the miles increased every week.

Marc = Angelo

2x + 4 = x + 7

x = 3

In 3 weeks each runner will run 10 miles for the week.

To find when Angelo and Marc will be running the same distance and what that distance will be, set up and solve equations.

To find out in how many weeks Angelo and Marc will be running the same distance, we can set up an equation. Let's assume the number of weeks is x. Angelo's distance can be represented by the equation 7 + 1x, and Marc's distance can be represented by the equation 4 + 2x. To find when their distances are equal, we can set the two equations equal to each other and solve for x.

Setting the equations equal: 7 + 1x = 4 + 2x

Simplifying the equation: x = 3

Therefore, Angelo and Marc will be running the same distance in 3 weeks. To find the distance, we can substitute the value of x back into either of the original equations. Let's use Angelo's equation: 7 + 1(3) = 10

So, Angelo and Marc will be running 10 miles in the same distance.

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Answer:

Parallelograms I, II, and IV

Step-by-step:

Area of parallelograms:

I. A=3*5=15 units squared

II. A=5*3=15 units squared

III. A=4*4=16 units squared

IV. A=5*3=15 units squared

So, parallelograms I, II, and IV have the same area of 15 units squared.

Answer:

Parallelograms I, II, and IV have an area of 15 square units

Step-by-step:

Area of parallelograms:

I. A=3*5=15 units squared

II. A=5*3=15 units squared

III. A=4*4=16 units squared

IV. A=5*3=15 units squared

So, parallelograms I, II, and IV have the same area of 15 units squared.

Answer:

3^-3

Step-by-step explanation:

27 = 3^3

so

1/ 27= 1 / 3^3 = 3^-3

To write the fraction \( \frac{1}{27} \) as an expression with a negative exponent, you can use the property of exponents that states \( a^{-n} = \frac{1}{a^n} \), where \( a \) is any non-zero real number and \( n \) is a positive integer.
Applying this property to \( \frac{1}{27} \), we can see that the fraction is the reciprocal of \( 27 \) raised to the first power. Thus, we rewrite the expression \( \frac{1}{27} \) by flipping the position of \( 27 \) to the numerator and making the exponent negative:
\( \frac{1}{27} = 27^{-1} \)
So, \( 27^{-1} \) is the same as \( \frac{1}{27} \). When you calculate \( 27^{-1} \), you get the value of approximately \( 0.037037037037037035 \), which represents the decimal equivalent of the fraction \( \frac{1}{27} \).

Answer:

The on  the bottom is right.

Step-by-step explanation:

Answer:

A is the correct answer

Step-by-step explanation:

The answer is:

The percent increase from her first quiz score to her second quiz score is 10%.

To know what is the percent increase from her first quiz to her second quiz, first we need to calculate the increase points, then, represent it in porcentage value.

Then, calculating her increas in points, we have:

[tex]Increase=SecondQuizScore-FirstQuizScore\\Increase=77points-70points=7points\\Increas=7points[/tex]

Now, calculating the percent increase, we have:

[tex]Increase(Percentage)=\frac{Increase(points)}{FirstScore}*100\\\\Increase(Percentage)=\frac{7}{70}*100\\\\Increase(Percentage)=0.10*100=10[/tex]

Hence, the percent increase from her first quiz score to her second quiz score is 10%.

Have a nice day!

Answer:

10%

Step-by-step explanation:

increase percentage is = difference /initial value x 100

=77-70/70 x 100

=10

So we'll do FOIL (first, outer, inner, last)

The equation is (4x+5)(2x+7)

First, 4x·2x=8x²

Outer, 4x·7=28x

Inner, 5·2x=10x

Last, 5·7=35

Add like terms and you get:

8x²+38x+35

The area of the rectangle represented by the expression (2x+7)(4x+5) is calculated by distributing and combining like terms, yielding the answer 8x^2 + 38x + 35.

The expression (2x+7)(4x+5) represents the area of rectangle in Algebra. The area of a rectangle is calculated as length times width, and in this case, the length is 2x+7 and the width is 4x+5.

To calculate the area, we will need to multiply these two expressions, also known as using the distribution property of multiplication over addition.

Apply the distributive property:

Combine like terms:

So, the area of the rectangle is represented by the expression 8x^2 + 38x + 35.

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Answer:

18

Step-by-step explanation:

There are 6 possible outcomes for the number and each one of those can land with all three different colors.

This means that the total amount of outcomes is 6*3 or 18.

41000 is 100%

29000 is ? %

?=29000x100/41000~70.73%

Answer:

60

Step-by-step explanation:

That's is correct answer

h=271.4/6π≈14.4 inches.

If the volume and the rafius of the cylinder is 271.4 cubic inches and 6 inches. Then the height of the cylinder will be 2.4 inches.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

If the volume of the cylinder is 271.4 cubic inches and the radius of the cylinder is 6 inches.

Then the height of the cylindr will be

We know the volume of the cylinder is given as

V = πr²h

Then we have

271.4 = π x 6² x h

271.4 = 36π x h

271.4 = 113.1 x h

      h = 2.4

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Only the last two options are true.

The first one is false, because 4.5 is the value of the maximum of f(x), not the point where it is reached.

The second one is false, because g(x) has a maximum of 9, so it is a downward-facing parabola (just like f(x)), so it doesn't have a minimum.

The third one is true, because the maximum value of f(x) is 4.5, and the maximum value of g(x) is 9, which is twice the maximum of f(x)

The last one is false (see point 2).

Answer:

The third and last one.

Step-by-step explanation:

First, by looking at the graph you can tell that the parabola peaks where x = 0.5, not 4.5, so this one is incorrect.

The second one is incorrect, because the value of the g(x) at 0 is 9, but he function is less at other values such as when x is -3 and the g(x) is 0.

The maximum value of the g(x) is 9. We can tell this because points with an equal difference of x values away from x = 0 (where g(x) = 9), also have the same y values. Because 9 is twice of 4.5, and 4.5 is the maximum value of the f(x), the third one is correct.

Lastly, The last one is true, because quadratic functions only have a minimum or a maximum value and we already know that both of these functions have a maximum value.

That is not true. 72-3=69

Answer:

y + 1 = - [tex]\frac{1}{3}[/tex](x - 4)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 5 is in this form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex]

The equation of a line in point slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here (a, b) = (4, - 1), thus

y - (- 1) = - [tex]\frac{1}{3}[/tex](x - 4), that is

y + 1 = - [tex]\frac{1}{3}[/tex](x - 4) ← in point- slope form

Answer:

c = -5 and d = 1

Step-by-step explanation:

First, multiply out (cy^2)(4y^d).  We get:  4cy^(2+d).

We equate this result to the right side of the equation:  - 20y^3.

Then, equating the exponents and solving for d, we get:  2 + d = 3, or d = 1.

Equating the coefficients, we get 4c = -20, or c = -5.

Answer: The answer would be C. Please give me a thanks :) bye!

Step-by-step explanation:

Answer:

C is the correct answer

Answer:

408

Step-by-step explanation:

because is you use long multiplication you will get 12*34=408.

Answer:

B

Step-by-step explanation:

In probability, "AND" means to multiply and "OR" means to add.

Here they want probability of steel penny ( P(s) ) "OR" probability of lincoln penny ( P(l) ).

Let's find the individual probabilities and "ADD" them.

P(s) = 5/50 (since there are 5 steel pennies and there are 50 coins in total)

P(l) = 5/50 (since there are 5 lincoln pennies and there are 50 coins in total)

So probability of 5 steel penny and 5 lincoln penny = 5/50 + 5/50 = 10/50 = 1/5

1/5 is equal to 20%, correct answer is B

Answer:

¹¹⁹/₁₂₀ gallon

Step-by-step explanation:

1. Total amount of paint owned: 1 ¹/₅ + 1 ¹/₆ + ⁷/₈ =  ³⁸⁹/₁₂₀ gallons

2. Total amount of paint used: 3 * ³/₄ = ⁹/₄ gallons

3. Amount left: ³⁸⁹/₁₂₀ - ⁹/₄ = ¹¹⁹/₁₂₀ gallon