Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.51 and a standard deviation of 0.44. Using the empirical rule, what percentage of the students have grade point averages that are no more than 2.07? Please do not round your answer.

Answer:

A.  432 feet.

(I'll let somebody else answer B cause im to dum for dat)

Step-by-step explanation:

I did the math and checked :)

Answer:

Positive discriminant = 2 real solution

x= -5,-40

Step-by-step explanation:

The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.

The discriminant is the part of the quadratic formula inside the square root:

[tex]b^{2}-4ac[/tex]

Every quadratic formula has the structure:

[tex]ax^{2} +bx+c=0[/tex]

So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:

[tex]x^{2} +45x+200=0[/tex]

Our a=1, b=45 and c=200

Now we can substitute these values into the discriminant:

[tex](45)^{2} -4(1)(200)[/tex]

Solve:

[tex]2025-800=1225[/tex]

The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:

[tex]x=\frac{-+/-\sqrt{b^{2}-4ac} }{2a} \\x=\frac{-45+/-\sqrt{1225} }{2}[/tex]

(Same discriminant value)

[tex]x=\frac{-45+/-35}{2}[/tex]

Now to find the two solutions, we use both signs in the equation. Solution 1:

[tex]x=\frac{-45+35}{2}[/tex]

[tex]x=\frac{-10}{2}=-5[/tex]

Our first solution is -5, now for the second:

[tex]x=\frac{-45-35}{2}\\\\ x=\frac{-80}{2}=-40[/tex]

The two solution to this equation are -5 and -40.

Hope this helped!

Step-by-step explanation:

true i think i think its true

Step-by-step explanation:

Hey there!

Given;

Slope (m) = -3/5

And passes through the point(4,-4).

Now; The equation of a line in slope intercept form is y= mx+b.

So, try to bring it in y= mx+b form.

Firstly let's use one-point formula.

[tex](y - y1) = m(x - x1)[/tex]

Now, keep all values.

[tex](y + 4) = \frac{ - 3}{5} (x - 4)[/tex]

Now, simplify to get answer.

[tex]5(y + 4) = - 3(x - 4)[/tex]

[tex]5y + 20 = - 3x + 12[/tex]

[tex]5y = - 3x + 12 - 20[/tex]

[tex]5y = - 3x - 8[/tex]

[tex]y = \frac{ - 3}{5} x - \frac{8}{5} [/tex]

Therefore the equation is y = -3/5x - 8/5.

Hope it helps...

Answer:

Step-by-step explanation:

3(5)-2(-4)=23

15+8=23

23=23

The system of equation 3x-2y=23 satisfies the point (5, -4) after plugging x = 5 and y = -4, the point is a solution to the equation.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation of linear equation is:

3x - 2y = 23

The point is (5, -4)

Plug x = 5 and y = -4

3(5) - 2(-4)  = 23

15 + 8 = 23

Thus, the system of equation 3x-2y=23 satisfies the point (5, -4) after plugging x = 5 and y = -4, the point is a solution to the equation.

Learn more about the linear equation here:

brainly.com/question/11897796

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Answer:

-3(-1)=

Step-by-step explanation:

Answer: 8 bags

Step-by-step explanation:

From the question, we are informed that Melanie had 3 pounds of dried fruit and that she packed the dried fruit into bags of 3/8 pound each.

For us to get the number of bags of dry fruit does she will pack, we have to divide 3 pounds by 3/8 pounds. This will be:

= 3 ÷ (3/8)

= 3 × (8/3)

= 8

Therefore, she will pack 8 bags of dried fruit.

Answer:

30 gallons

Step-by-step explanation:

if it fills up 1600 tubs an hour then the answer should be 30 gallons.

Answer:

270$

Step-by-step explanation:

I can't tell necessarily what the question is but I'd it is 24= 8÷3y then y is 1/9

if the question is 24=8/3(y) then the answer is y=9

Answer:

24 = [tex]\frac{8}{3}[/tex] y

[tex]\frac{8}{3}[/tex] = 2.6 repeating

24 ÷ 2.6 repeating = 9

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

90 degrees means 1/4 of 360 degrees. If you think about it like a clock it would be at 3:00. B is the representation of that

Answer:

B

Is going clock wise I dont really know how to explain it

Answer:

ok in this diagram we have two triangles the first triangle all angles are unknown the second triangle we have the values of two angles so we will start with the second triangle and as you know angles in a triangle add up to 180° so we will take 35 degrees + 30 degrees and name the unknown angle x is equals to 180 degrees so it will be 65 degrees + x is equals to 180° put the like terms together x will be equal to 180 degrees - 65 degrees it becomes a minus because when a plus crosses the equal sign it becomes - so x is equals to 115° and as you can see in the diagram 115° is vertically opposite z then you can extend the lines so as to understand the diagram better when you extend the lines you find that 35 degrees is equal to angle v so it will be 115 degrees + 35 degrees + x is equals to 180 degrees so 150° + x is equals to 180 degrees put the like times together x is equals to 180 degrees minus 150° x is equals to 30 degrees

the answer is c you just have to solve each one

Answer:

2A=

Step-by-step explanation:

Being in the same denominator makes the task much simpler.

Explanation:

A

=

X

+

Y

2

Simplify using the property

a

b

=

m

n

⇒

a

×

n

=

b

×

m

2

A

=

X

+

Y

2

A

−

X

=

Y

Hopefully this helps!

Answer:

the answer is y = 2a - 2x

Step-by-step explanation:

That's what I get when I solve for y

Answer:

c

Step-by-step explanation:

62+90=152

180-152=28

the sum of the interior angles must equal 180 degrees

Angle x measures 28°

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

Given,

In the figure, interior angles of triangle measures =

62°, right angle = 90°, x

Sum of interior angles of a triangle = 180°

⇒ 62° + 90° + x = 180°

⇒ 152° + x = 180°

⇒ x = 180° - 152°

⇒ x = 28°

Hence, 28° is the measure of angle x.

Learn more about triangle here:

https://brainly.com/question/2773823

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Answer:

Step-by-step explanation:

-2x

Grado : 1

Coefficiente  : -2

Parte literal :   x

x²y⁴:

Grado : 2+4 = 6

Coefficiente  : 1

Parte literal :   x²y⁴

Answer:

[tex]1[/tex] [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Hope this helps

Answer:

[tex]1 \frac{1}{4} [/tex]

Step-by-step explanation:

[tex] \frac{( - \frac{1}{2} + \frac{3}{4}) }{ \frac{1}{5} }\\ \frac{1}{4} \div \frac{1}{5} \\ 1 \frac{1}{4} [/tex]

Answer:

So the correct answer would be x=7

Answer:

8.22 × 10²

Step-by-step explanation:

Scientific Notation: x.xx × 10ⁿ

We simply follow the base 10 decimal system to convert from standard form to scientific notation:

822 = 8.22 × 10²

Answer:

88%

Step-by-step explanation:

22/25 = .88 x 100= 88%

Answer:

88%

Step-by-step explanation:

First, you start with the bottom (denominator). You turn it into 100 since all percentages are over 100. So 25 times 4 is 100. Therefore, you also have to multiply the top with a 4, getting an 88 over 100. That is equal to 88%.

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Step-by-step explanation:

-26/7 = -3 5/7

Because that is the smallest

'Hope it would help'

Answer:

0

Step-by-step explanation:

0 is the smallest rational number.

Answer:

45 pizzas

Step-by-step explanation:

She has to feed a crowd fifteen times bigger

Answer:

Creo que eso es cierto también grandes habilidades españolas

Step-by-step explanation:

Answer:

She can buy 0.8 cents worth of Gummy worms and 1.2 cents worth of sour patches

Step-by-step explanation:

Keisha is allowed to buy only 2 pounds bag of candy.

Now, she can choose either gummy worms or sour patches.

Gummy worms are 0.4 cents per pound while sour patches are 0.6 cents per pound.

Thus, maximum amount she can spend on gummy worms is; 0.4 × 2 = 0.8 cents

Maximum she can spend on sour patches is; 0.6 × 2 = 1.2 cents

She can buy 0.8 cents worth of Gummy worms and 1.2 cents worth of sour patches

See attachment for math work and answer.

Answer:

Adelaide has a credit card with a company that charges $3.00 for every day a payment is late. If she paid $492.93 for a bill that is 3 days late, how much was the bill without the late fee?

A. $486.93

B. $483.93

C. $489.93

D. $480.93

Step-by-step explanation:

help me with this question

Um... is there a question?

Can you post one with a picture of the input/output tables? I don't see any.

Answer:

Try reloading, or turning off ur phone. it worked for me...

Step-by-step explanation:

Answer:

mine aren't either and I  also really need answers pls help

Step-by-step explanation: