A group of students with normally distributed salaries earn an average of 6800 with a standard deviation of $2500. Find the cutoff for the salary that corresponds to the lower 25% of all salaries

Answer:

$1.93

Step-by-step explanation:

From the total (13.19), subtract the cost of the oranges (1.61). That would equal 11.58, which is the cost of the 6-pack of juice bottles. Then, divide 11.58 by 6 to determine the cost of each bottle.

Each bottle = $1.93

Hope this helps!!

It's new position is 1121 feet below sea level.

(In this problem u are descending into a negative value so it made sense for me to add for some reason).

Hope this helps and have a good day.

Also, as proof I included my calculator showing the logic behind it. Sorry for bad Camera quality.

-R3TR0 Z3R0

Answer:

okkkkkkkkkkkkkkkkkkkkkkkkkkk

Answer:

Step-by-step explanation:

This is a parabola. Because of that, the extreme exists at either the highest point on the graph or at the lowest point on the graph (which is also known as the vertex). This is a positive parabola, so the vertex is a minimum. The coordinates of the vertex are (4, -2.5). The 4 is the x value; therefore, the value of x where the polynomial has an extreme (or extrema) is at x = 4

Answer:

Step-by-step explanation:

The ratio is the relationship of two numbers. ... A rate is a little bit different than the ratio, it is a special ratio. It is a comparison of measurements that have different units, like cents and grams. A unit rate is a rate with a denominator of 1.

The difference between ratio and unit rate is that both of them are measures of two units and are written in the form of a numerator and a denominator but the unit rate denominator must be one.

It shows how many times one value is contained in another value.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

Ratio and unit rate

Ratio and unit rate both are written in the form of a numerator and a denominator.

The ratio is a measure of two units contained in a whole amount.

Example: 3 apples and 3 mangoes are contained in a bag

The ratio of apple and mango is 3:3 = 1:1

The unit rate is also a measure between two units but the denominator should always be one.

Example: A man can run 10 miles in 10 hours

In one hour 1 mile.

The unit ratio is 10miles per hour.

Thus,

The difference between ratio and unit rate is that both of them are measures of two units and are written in the form of a numerator and a denominator but the unit rate denominator must be one.

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Answer:

Step-by-step explanation:

The answer depends on whether the interest is simple or compound.

For simple interest:

A = 670(1 + 0.08)(24)

For compound interest

A = 670(1 + 0.08)24

Answer:

???????

Step-by-step explanation:

Answer:

47.3

Step-by-step explanation:

Step-by-step explanation:

Right angle=90°

90-30= 3x

3x=60

x=20

Answer:

2m is longer

Step-by-step explanation:

Answer:

4.8oz

Step-by-step explanation:

So 1lb=16oz

16x3=48oz

48/10=4.8

Distributing them out she has little over enough for all 10

She will have half pound or 8 oz of grapes leftover.

The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.

Given, Stacy has 3 lb. of grapes to make 10 bowls of fruit salad.

Since, 1  lb. = 16 oz.

So, Stacy has total grapes = 48 oz.

1 bowl of fruit salad Required = 4 oz. of grapes

Thus,

10 bowl of fruit salad required = 40 oz. of grapes

So, Leftover grapes = 48 -40

Leftover grapes = 8 oz or 1/2 lb.

Therefore, She will have half pound of grapes leftover.

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Answer:

I think it is D

Step-by-step explanation:

Answer:

So let the hypotenuse be

x

:

sin

(

47

°

)

=

opposite side

x

sin

(

47

°

)

=

12

x

To solve for

x

, divide

sin

(

47

°

)

by

12

:

x

=

12

sin

(

47

°

)

x

≈

16

Step-by-step explanation:

Answer: 16

Reason: bc it just is

Answer:

Option B

Step-by-step explanation:

Use the slope formula.

[tex]\frac{rise}{run}=\frac{-2-2}{-4+2}=\frac{-4}{-2}=\boxed{2}[/tex]

The answer sohuld be B.

Hope this helps.

Answer:

It'll be 2. Equation 1 will be 4 times larger than equation 2,

exp. 1. 21/3*4

= 7*4

=28

exp 2. 21/3

= 7

Hence, it is four times

Hope it helped

All the best!! ♥

Answer:

$12

Step-by-step explanation:

;)

Answer:

12

Step-by-step explanation:

28 divided by 7 = 4

4 x 3 = 12

Answer:

C and 2/21

Step-by-step explanation:

i did it

We can write the product of the given fractions as -

{4/7 x 1/6} = 2/21

A fraction is expressed in the form of {x/y}, where {y ≠ 0}.

Given is to find the product of the fractions -

4/7 and 1/6

We can write the product of the fractions {4/7} and {1/6} as -

{x] = 4/7 x 1/6

{x} = 2/7 x 1/3

{x} = 2/21

Therefore, we can write the product of the given fractions as -

{4/7 x 1/6} = 2/21.

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9514 1404 393

Answer:

  yes

Step-by-step explanation:

A parallelogram is a quadrilateral with opposite sides parallel. A square is such a quadrilateral, so a square is a parallelogram.

_____

A rhombus is a special case of parallelogram in which adjacent sides are the same length.

A square is a special case of rhombus in which the angles are 90°. Hence a square is a special case of parallelogram.

__

An alternate route to the same conclusion is ...

A rectangle is a special case of parallelogram in which vertex angles are 90°.

A square is a special case of rectangle in which adjacent sides are the same length. Hence a square is a special case of parallelogram.

Answer:

Sine, cosine, tangent, cosecant, secant and cotangent.

The vertex is located at (h,k)

The two roots p and q can be defined as such

where r is the horizontal distance between the vertex and either root. We use the same r value for each equation because of symmetry. The diagram below shows what I mean.

Let's add up those two equations to get

p+q = 2h

The left hand sides p and q add to p+q. The right hand sides add to (h-r)+(h+r) = 2h. Note the r's cancel.

From here, we divide both sides by 2 and we end up with

h = (p+q)/2

In short, if we know the roots p and q, then we find the x coordinate of the vertex (h) to be the average of those roots. You add up the roots and then divide by 2.

After you figure out the value of h, finding the value of k will have us plug in this h value into the quadratic equation and simplifying.

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

Example:

Let's say we have the quadratic y = x^2 - 8x + 12. This factors to (x-2)(x-6)

Solving (x-2)(x-6) = 0 shows that x-2 = 0 becomes x = 2 and x-6=0 becomes x = 6.

So the roots here are p = 2 and q = 6. The order of the roots doesn't matter.

Averaging these roots gives us

h = (p+q)/2

h = (2+6)/2

h = 8/2

h = 4

The x coordinate of the vertex is x = 4.

Plug this back into the original equation to find...

y = x^2 - 8x + 12

y = (4)^2 - 8(4) + 12

y = 16 - 32 + 12

y = -16 + 12

y = -4

Or you could say

y = x^2 - 8x + 12

y = (x-2)(x-6)

y = (4-2)*(4-6)

y = (2)*(-2)

y = -4

Either way, we find that k = -4 is the y coordinate of the vertex

The vertex for this example is located at (h,k) = (4, -4)

Refer to the diagram below.

Answer:

20

Step-by-step explanation:

your middle median is 20  in ascending order it is also 20  *im in year 8 my explenation is bad*

Answer:

A. 1.80

Step-by-step explanation:

Answer:

A. 1.80

Explanation:

Answer:

[tex] \frac{ - 1448}{192} = \frac{ - 181}{3} = - 60.3[/tex]

hope it's helpful ❤❤❤❤

THANK YOU.

Answer:

3.

A) 43.96 cm (Circumference)

B) 153.86 square cm (Area)

4.

A) 62.8 ft (Circumference)

B) 314 square ft (Area)

Step-by-step explanation:

3. Radius 7 cm

7*2=14 (Find the diameter)

14*3.14= 43.96 cm (Circumference)

7*7=49 (Find the square of radius)

49*3.14 = 153.86 square cm (Area)

4. Diameter: 20 ft

20*3.14 = 62.8 ft (Circumference)

20/2=10

10*10=100

100*3.14= 314 square ft (Area)

Answer:

157.08m²

Step-by-step explanation:

Since the area of a circle is A=πr²

The radius is 10, so

A=π10²

A=314.16 (rounded to nearest hundredth)

Half of that is 157.08.

answer-

t≈9

step-by-step: i skipped the question and  got the right answer

The amount will become $3560 after the tenure of 9 years.

Compound interest is the interest on savings computed on both the initial principal and the interest earned over time. In theory, continuously compounded interest means that an account balance is constantly earning interest and refeeding that interest back into the balance so that it, too, earns interest.

Given that Brody invested $2,800 in an account paying an interest rate of 2.7% compounded continuously.

The time period will be calculated as,

[tex]P(t) = P_oe^{rt}\\\\3560 = 2800e^{0.027\times t}[/tex]

Take log on both sides and solve,

ln(3560 / 2800) = 0.027x t(ln(e)

t = ln(1.27) / 0.027

t = 9 years

Therefore, the amount will become $3560 after the tenure of 9 years.

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9514 1404 393

Answer:

  $8,775

Step-by-step explanation:

The amount due is given by the formula ...

  A = P(1 +rt)

where P is the principal amount, r is the annual rate, and t is the number of years.

  A = $6,500(1 +0.07×5) = $6,500(1.35) = $8,775

Montrey had to pay back $8,775.

Answer:

the answer is 54522

Step-by-step explanation:

hope it helps

Answer:

it is 54522 hope it helps