A test was given to 120 students, and the scores approximated a normal distribution If
the mean score was 72 with a standard deviation of 7, approximately what percent of the
scores were 65 or higher?

Answer:

4th option

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 4)² + (y + 5)² = 64 ← is in standard form

with h = - 4, k = - 5 and r = [tex]\sqrt{64}[/tex] = 8

centre = (- 4, - 5) and r = 8

Answer:

See below.

Step-by-step explanation:

Perimeter:  use the Distance Formula  [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Distance from (-3, 4) to (4, 5) is

[tex]\sqrt{(5-4)^2+(4-(-3))^2}=\sqrt{1+49}=\sqrt{50}=5\sqrt{2}[/tex]

Distance from (4, 5) to (2, -3) is

[tex]\sqrt{(2-4)^2+(-3-5)^2}=\sqrt{4+64}=\sqrt{68}=2\sqrt{17}[/tex]

Distance from (2, -3) to (-4, 4) is

[tex]\sqrt{(-4-2)^2+(-4-(-3))}=\sqrt{36+1}=\sqrt{37}[/tex]

Distance from (-4, 4) to (-3, 4) is

[tex]\sqrt{(-4-(-3))^2+(4-(-4))^2}=\sqrt{1+64}=\sqrt{65}[/tex]

The perimeter is the sum of all these distances.

Area:

To find the area of the figure, one method is to draw a rectangle around the entire figure, then add line segments that cut up the unwanted area into rectangles and triangles, add those areas together, then subtract the total from the area of the surrounding rectangle.  See the attached figure.

The surrounding rectangle has area 8 x 9 = 72 square units.

The unwanted areas (green rectangles and four triangles).  Remember, the area of a triangle is (1/2)(length)(width).

Rectangle A:  1 x 1 = 1 square unit

Triangle B: (1/2)(7)(1) = 3.5 square units

Triangle C: (1/2)(8)(1) = 4 square units

Triangle D: (1/2)(8)(2) = 8 square units

Triangle E: (1/2)(6)(1) = 3 square units

Rectangle F: 2 x 1 = 2 square units

Total of unwanted area: 1 + 3.5 + 4 + 8 + 3 + 2 = 21.5 square units

Subtract this total from the surrounding rectangle's area to get

72 - 21.5 = 50.5 square units

Answer:

2/3 and 8/12

hope this helps

have a good day :)

Step-by-step explanation:

The round off of 4.776 to the nearest hundred results in 4.800.

To round 4.776 to the nearest hundred

Focus at the digit in the hundredth's place, which is the second decimal place.

In this case, the digit in the hundredth's place is 7.

Since 7 is greater than or equal to 5, we round up the previous digit, which is 7.

Therefore, rounding 4.776 to the nearest hundred results in 4.800.

Learn more about Round off here:

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Answer:

3×6²

3×36

108 is the answer weirdo

Answer:

prairie dog

Step-by-step explanation:

because this eats the other organisims

Answer: The line is y=-3x+3

Step-by-step explanation:

Its decreasing by 3 shown in the line so it would -3 and the equation for the  line would be y=-3x+3 as you said.

Answer:

6x-36=120

6x=120+36

6x=156

x=26

Answer:

X is equal to 26

Step-by-step explanation:

this is becasue 6x-36 is equal to 120 there for you can move the 36 over to make 156 so now you have 6x=156 now you just divide by 6 leaving you with x=26

hope this helps

Answer:

3.315

Step-by-step explanation:

[tex] \frac{1}{2} \times 1.7 \times 3.9 = 3.315[/tex]

Answer:

Your value of z is 71 degrees. The value of x is 11.

Step-by-step explanation:

You can determine the value of z by knowing that z and the 71 angle are vertical angles. Vertical angles are congruent to each other. We know that the x angle and the 71 angle are supplementary, or that they equal 180. So, set up the equations, and solve for x. :

[tex]180=71+(9x+10)\\180=81+9x\\99=9x\\x=11\\[/tex]

Answer:

The Ball will fall towrds its digram just like pendulum

Step-by-step explanation:

Step-by-step explanation:

would you still like me to help you with this question

Angle of depression of the slope is 24. degree.

Angle of depression is equal to the angle of elevation.

sine = the vertical drop/ the ski slope

sine = 100/250

      = 2/5 = 0.4.

sine - 1 (0.4) = 23.57 which is about 24 degree.

Therefore, the correct angle of depression of the slope is approximately 24 degree.

Learn more about   angle of depression here:

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Answer:

2/11

Step-by-step explanation:

There are 11 tiles and 2 of the have R's on them, so it is 2 out of 11, or 2/11

Answer:

Step-by-step explanation:

radius=3 in.

diameter=2r

=2*3

=6 in.

Radius = 3 inches

Diameter = 6 inches

The given radius is 3 inches.

We know that diameter is twice the radius. So,

Diameter = 2r

= 2×3

= 6 inches

Answer:

A

Step-by-step explanation:

cuz  im smart

Answer:

Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. ... and another pair of corresponding sides are equal in two right triangles.

Answer:

C. 70

Step-by-step explanation:

Step-by-step explanation:

● 5(x+9)

● 5 (5)

● 5×9=45

● 5×5=25

● 45+25=70

Answer:

Step-by-step explanation:Here's li[tex]^{}[/tex]nk to the ansly/3fcEdSxwer:

bit.[tex]^{}[/tex]

Answer:

This probability is 5/7

Step-by-step explanation:

Rewriting this problem may make it appear to be more manageable.  

The probability that the number is a solution of 3x-4 < 1 simplies to "x < 5".  

This probability is 5/7, since {0, 1, 2, 3, 4} are all less than 5.

Answer:

2.7, 3, & 6

Step-by-step explanation:

those equal less than 10 when put into the equation

Step-by-step explanation:

2 2 5 9 and 12

mode= 2

median = 5

Range : 12- 2 =10

Mean: 2+2+ 5+ 9+ 12=30

30÷ 5 = 6

Answer:

45

Step-by-step explanation:

6a 6b

2 : 3

30 : x

30×3

2

=45

Answer:

well time has to be on the X-axis because it is an independent variable

as a distance will be dependent variable Y-axis

Answer:

1. True

2. I don't know this one sorry :(

Step-by-step explanation:

Have a good day :)

Answer:

20/12

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

5+5 is 10 is simple question

Answer:

gggggjwjwkekdbfjfnnf

Answer:

B is the correct answer

Step-by-step explanation:

Hope it helped have a great day

Answer:

2.9 cm³

Step-by-step explanation:

Note: For the copper and the lead to balance, they must have thesame mass.

Applying,

D' = m'/V.................... Equation 1

Where D' = density of the lead, m' = mass of the lead, V = Volume of the lead.

make m' the subject of the equation

m' = D'V................ Equation 2

From the question,

Given: D' = 11.4 g/cm³, V = 2.28 cm³

Substitute these values into equation 2

m' = (11.4×2.28)

m' = 25.992 g

Similarly,

for copper,

D = m/V............... Equation 3

Where D = density of  copper, m = mass of copper, V = volume of copper.

make V the subject of the equation

V = m/D.............. Equation 4

where, m = m' = 25.992 g

Given: D = 8.96 g/cm³

Substitute these values into equation 4

V = 25.992/8.96

V = 2.9 cm³

GIVEN: The perimeter of triangle STU is  125.

The segments TW=21 cm

VW=30 cm

VT=24 cm

TO FIND: The length of the segment SU.

SOLUTION:

As corresponding sides must be same. so we have,

[tex]\frac{TV}{TS}=\frac{TW}{TU}\\\\ \frac{24}{TS}=\frac{21}{TU}\\\frac{TU}{TS}=\frac{7}{8}=k(say)\\[/tex]

Then, TU=7k and TS=8k

[tex]\frac{TV}{TS}=\frac{VW}{SU}\\\\ \frac{24}{TS}=\frac{30}{SU}\\\frac{24}{8k}=\frac{30}{SU}\\SU=10k[/tex]

As the perimeter of triangle STU is  125.

so,

8·k+7·k+10·k=125

⇒25.k=125

⇒k=5

Therefore, SU=10×5=50