A psychology professor assigns letter grades on a test according to the following scheme.

A: Top 8% of scores

B: Scores below the top 8% and above the bottom 61%
C: Scores below the top 39% and above the bottom 16%
D: Scores below the top 84% and above the bottom 8%
F: Bottom 8% of scores

Scores on the test are normally distributed with a mean of 65.4 and a standard deviation of 9.7. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.

Answer:

x=0

Step-by-step explanation:

First, we expand.

-2x(3x-4)=0

-6x+8x=0

2x=0

x=0

Answer:

415,000

Step-by-step explanation:

First, find the decimal equivalent of 125%. To do this, divide 125 by 100 or move two decimal places to the right: 125/100 = 1.25

Now multiply the amount of cars sold last year, 332,000, by the percentage decimal, 1.25: 332,000 x 1.25 = 415,000

The car manufacturer sold 415,000 cars this year

Sophia can make 12 cakes and 4 loaves of bread.

The right answer is Option A.

Step-by-step explanation:

Given,

White flour used for one loaf of bread = 1/2 pound

White flour available = 2 pounds

Cake flour used to make one cake = 1/4 pound

Cake flour available = 3 pounds

We will divide the available amount by the amount used for one.

No. of loaves of bread = [tex]\frac{2}{\frac{1}{2}}=2*2[/tex]

No. of loaves of bread = 4

No. of cakes = [tex]\frac{3}{\frac{1}{4}}=3*4[/tex]

No. of cakes = 12

Therefore,

Sophia can make 12 cakes and 4 loaves of bread.

The right answer is Option A.

For this case we have that by definition, the perimeter of the rectangle is given by:

[tex]P = 2w + 2L[/tex]

Where:

W: Is the width of the rectangle

L: is the length of the rectangle

According to the data we have:

[tex]L = 6 + w\\P = 48[/tex]

Substituting:

[tex]48 = 2w + 2 (6 + w)\\48 = 2w + 12 + 2w\\48 = 4w + 12\\48-12 = 4w\\36 = 4w\\w = \frac {36} {4}\\w = 9[/tex]

So, the width of the rectangle is 9 inches

[tex]L = 6 + 9 = 15[/tex]

So, the length of the rectangle is 15 inches

Answer:

the width of the rectangle is 9 inches

the length of the rectangle is 15 inches

The distance between the two lines,-2x + y = 6 and x = 1/2x - 4, is approximately 4.5 units

To find the distance between two lines, we can use the formula:

Distance = |(Ax + By + C)| / sqrt(A^2 + B^2)

Where A, B, and C are the coefficients of the standard form equation of the first line

and x and y are the coordinates of a point on the second line.

Let's first convert the equations of the lines into the standard form (Ax + By + C = 0):

-2x + y - 6 = 0 --> 2x - y + 6 = 0 (Line 1)

x - 2x/2 - 4 = 0 --> -x + 4 = 0 --> x - 4 = 0 (Line 2)

Now, we can use the formula to find the distance between the two lines:

distance = |(Ax + By + C)| / sqrt(A^2 + B^2)

Let's take a point on Line 2, for example, (4,0). Then:

Distance = |(24 - 10 + 6)| / sqrt(2^2 + (-1)^2)

Distance = |10| / sqrt(4 + 1)

Distance = 10 / sqrt(5)

Distance = 4.472

Distance ≈ 4.5

Hence, the distance is approximately 4.5 units

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Answer:

m = 7.8

Step-by-step explanation:

Its the slope. Its the number next to the x.

Answer:

d=[tex]\sqrt{x} (43-23)^2+(14-17)^2[/tex]

Answer=  20.224

Step-by-step explanation:

Answer:

thats teh answer

Step-by-step explanation:

Answer:

The metric system of measurement, the International system of units (SI Units), is widely used for quantitative measurements of matter in science and in most countries. ... Any units used in other system of measurement (i.e. not included in the SI system of measurement), will be referred to as non-SI units.

Wouldn't mind if you gave me Brainiest.

Answer:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero.

Answer: b is -48

Step-by-step explanation:

-21 = b/3 - 5/1

Cross multiply

b-15= -21 ×3

b-15= -63

b= -63 + 15

b= -48

To cross -check,

-21 = -48/3 -5

-21= -16 -5

Mark as brainliest please.

Answer:

76.505------>76.51 ml^2

Step-by-step explanation:

14.3 x 10.7 = 153.01

153.01/2 = 76.505

round to nearest hundredth

Answer:

14 - 12i

Step-by-step explanation:

Given the complex number a ± bi, then the complex conjugate is

a ∓ bi

Note that the real part a remains unchanged while the sign of the imaginary part is reversed.

Given 14 + 12i then the conjugate is 14 - 12i

Answer:

1 is the answer

Step-by-step explanation:

[tex] |x - y + z| = |3 + 2 - 6| \\ = | - 1| = 1[/tex]

Answer:

πr2

Step-by-step explanation:

If you want to find the base of a cylinder, the formula is AB=πr2.

Answer:

AB=πr2

Step-by-step explanation:

Answer:

247

Step-by-step explanation:

Answer:

6422÷26=247

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

1. cross multiply to get

5(4x+2)= 35(x-1)

2. distribute

20x+10=35x-35

3. combine like terms

45=15x

4. divide :)

3=x

Answer:

x = 3

Step-by-step explanation:

(x - 1)/5 = (4x + 2)/35

to find the value of x

the first thing to do is to cross multiply

from this ,

(x-1)/5 = (4x + 2)/ 35

35(x-1) = 5( 4x + 2)

35x - 35 = 20x + 10

we are going to collect the like terms

35x -20x = 10 + 35

15x = 45

we are going to divide both sides by the coefficient of x which is 15

we have,

15x/15 = 45/15

x = 3

therefore the value of x = 3

to check if your answer is correct, put the value of x and slot it into one of the equations.

35x - 35 = 20x + 10

35(3) - 35 = 20(3) + 10

105 - 35 = 60 + 10

70 = 70........................ proved.

Answer:

Height of flagpole = 571 ft

Step-by-step explanation:

Given:

Angle of elevation to the top of the flagpole is 55° .

Distance from the eyes to the base of flagpole = 400 ft.

To find the height of the flagpole.

Solution:

We can draw the situation as a right triangle as shown below.

In triangle ABC.

[tex]BC=400\ ft[/tex]

∠C= 55°

To find the length AB (height of the flagpole).

Applying trigonometric ratio :

[tex]\tan\theta=\frac{Opposite\ side}{Adjacent\ side}[/tex]

[tex]\tan C=\frac{AB}{BC}[/tex]

Plugging in values.

[tex]\tan 55\°=\frac{AB}{400}[/tex]

Multiplying both sides by 400.

[tex]400\tan 55\°=\frac{AB}{400}\times 400[/tex]

[tex]571.26=AB[/tex]

∴ [tex]AB\approx 571\ ft[/tex]

Height of flagpole = 571 ft

Final answer:

The flagpole's height is approximately 571 feet when rounded to the nearest foot.

Explanation:

To find the height of the flagpole, we use the angle of elevation and the distance from the observer to the flagpole's base, which forms a right-angled triangle. We can calculate the height of the flagpole by using the tangent function:

Tan(55°) = (height of the flagpole) / 400 ft

Therefore,

(height of the flagpole) = tan(55°) * 400 ft

A calculator can be used to find that tan(55°) approximately equals 1.4281.

Multiplying this by 400 gives the height of the flagpole:

Height of the flagpole = 1.4281 * 400 ft

Height of the flagpole ≈ 571.24 ft

When rounded to the nearest foot, the height of the flagpole is approximately 571 feet.

Her we know that Jacey wrote an equation to  find an angle measure. The equation is as follows:

[tex]\frac{360^{\circ}}{a}=b[/tex]

So, if the angle 360° is a central angle, that is, an angle between two radii in a circle, then:

a: Represents the number of equal parts parts the circle is divided

b: Represents the measure of the central angle of each part

For example, suppose you have a circle and want to divide it into six parts, then, the central angle of each part of the circle will measure 60 degrees as indicated in the figure below.

Step-by-step explanation:

1. 3x+y+17=0

2.x-y+3=0

Sorry mam I use mental math

Answer: X = —5 and Y = —2

Step-by-step explanation: What we have is a pair of simultaneous equations;

3X + Y = —17 —————-(1)

6X — 6Y = —18 ————(2)

We shall use the substitution method as instructed. Looking at equation (1),

We shall make Y the subject of the equation, hence

Y = —17 —3X

We shall now substitute for the value of Y into equation (2)

6X — 6Y = —18

6X — 6(—17 —3X) = —18

6X + 102 + 18X = —18

By collecting like terms we now have

24X = —18 —102

(Note that when a positive value crosses to the other side of the equation it becomes negative and vice versa)

24X = —120

Divide both sides of the equation by 24

X = —5

Having calculated the value of X as —5, we can now calculate Y as follows

From equation (1)

3X + Y = —17

3(—5) + Y = —17

—15 + Y = —17

Add 15 to both sides of the equation

—15 + 15 + Y = —17 + 15

Y = —2

Therefore, X = —5 and Y = —2

The volume of the spherical piece is 288.55 cm³.

Solution:

Diameter of the sphere = 8.2 cm

Radius of the sphere = 8.2 ÷ 2 = 4.1 cm

The value of π = 3.14

Volume of the sphere [tex]=\frac{4}{3} \pi r^{3}[/tex]

                                    [tex]$=\frac{4}{3} \times 3.14 \times(4.1)^{3}[/tex]

                                    [tex]$=\frac{4}{3} \times 3.14 \times68.921[/tex]

                                    = 288.55 cm³

The volume of the spherical piece is 288.55 cm³.

He should use 886 fluid ounces of soap.

Step-by-step explanation:

Know that 8 fluid ounces make 1 cup.

Now 24 cups need 32 fluid ounces or, 3 fluid ounces of water need 32 fluid ounces of soap.

Thus, by unitary method,

84 ounces of water need 32 × 84 / 3 ounces of soap.

Thus the answer comes to 886 ounces.

Answer:

13 8/9

Step-by-step explanation:

25*(5/9) is equal to (25*5)/9

25*5 = 125 and 9 goes into 125 13 times with a remainder of 8

The solution would be:

13 8/9

Answer:

13 8/9

Step-by-step explanation:

5/9 x 25

Multiply through

125/9

13 8/9

Answer:

12 pints is bigger

Explanation: A pint is two cups, so 12 pints would be 24 cups.

The correct answer is that 12 pints is bigger than 6 cups.

To understand why, let's look at the conversion factors between pints and cups. In the United States Customary System, 1 pint is equivalent to 2 cups.

Now, let's calculate the volume of 12 pints in cups:

[tex]\[ 12 \text{ pints} \times \frac{2 \text{ cups}}{1 \text{ pint}} = 24 \text{ cups} \][/tex]

Comparing 24 cups (which is the equivalent of 12 pints) to 6 cups, it is clear that 24 cups is larger than 6 cups. Therefore, 12 pints is bigger than 6 cups.

Answer:

The winner play 341 games.

Step-by-step explanation:

An online video game tournament begins with 1024 players.

Four players play in each  game

It forms GP : [tex]\frac{1024}{4}=256 , \frac{256}{4}=64 , \fra{64}{4}=16 , \frac{16}{4}=4 , \frac{4}{4}=1[/tex]

So, GP: 256, 64,16,4 , 1

First term = a = 256

Common ratio = [tex]\frac{64}{256}=\frac{4}{16}=\frac{1}{4}[/tex]

Formula of nth term =[tex]a_n=ar^{n-1}[/tex]

[tex]1 = 256 (\frac{1}{4})^{n-1}[/tex]

[tex]\frac{1}{256}=(\frac{1}{4})^{n-1}[/tex]

[tex](\frac{1}{4})^9=(\frac{1}{4})^{n-1}[/tex]

4=n-1

5=n

So, Sum of first n terms=[tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]

Substitute n = 5

[tex]S_5=\frac{256(1-(\frac{1}{4})^5)}{1-\frac{1}{4}}[/tex]

[tex]S_5=341[/tex]

Hence the winner play 341 games.

The winner will play 10 games.

With 1024 players for the first round, each game will have 4 players. Since there can only be one winner per game, the winner of each game will advance to the next round. To determine the number of games the winner will play, we need to find out how many rounds there will be. In each round, the number of players is halved until only one player remains. Therefore, the number of rounds is equal to the logarithm base 2 of the initial number of players. So, the winner will play a total of log2(1024) = 10 games.

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Answer:

x =(1+√81)/2=(1+9)/2= 5.000

or:

x =(1-√81)/2=(1-9)/2= -4.000

Step-by-step explanation:

there now can i get brainliest

Answer:

They are all odd numbers.

Step-by-step explanation:

Ok so we know that numbers that end with 1,3,5,7 and 9 are odd numbers and all the numbers listed in the question all end with these numbers.

Answer:

3 cups

Step-by-step explanation:

first, divide the number of ounces (64) by the ounces in the cups (4). you get 16. 16 represents the total amount of cups.

we know that she sold 13 cups and the question asks how many cups she has left. so you subtract 16 and 13 and ur final answer is 3

Answer:

b. $2000

Step-by-step explanation:

yo just need to take away the smaller from the bigger number..

Answer:

Answer B:$2000

Is her current equity