What is the volume of the regular pyramid below?
12,12,71
A. 3408 units3
B. 852 units3
C. 10,224 units3
D. 270 units3

This question is incomplete, the complete question;

The American Psychological Associated conducted a survey in 2003 of psychologists to estimate the average incomes for psychologists based on their academic degree and years of experience. 36 psychologists responded who had a just received their masters degree in 2003. The average was $48,800 with a standard deviation of $16,800.

The 95% Confidence Interval is ($, $ )

Answer:

at 95%, confidence interval is ( $43312, $54288 )

Step-by-step explanation:

Given the data in the question;

sample size n = 36

mean x' = 48,800

standard deviation σ = 16,800

at 95% confidence level;

∝ = 1 - 95% = 1 - 0.95 = 0.05

∝/2 = 0.05 / 2 = 0.025

z critical value, [tex]Z_{\alpha/2[/tex] = 1.96

now, confidence interval for population mean is given by the formula

x' ±  [tex]Z_{\alpha/2[/tex]( σ/√n )

so we substitute

⇒ 48800 ±  1.96( 16800/√36 )

⇒ 48800 ±  1.96( 2800 )

⇒ 48800 ±  5488

⇒ 48800 -  5488, 48800 +  5488

⇒ ( 43312, 54288 )

Therefore, at 95%, confidence interval is ( $43312, $54288 )

Answer:

[tex]a_{20} = 1/1048576[/tex]

Step-by-step explanation:

Given

[tex]Sequence: -1/2;1/4;-1/8;1/16[/tex]

Required

Determine [tex]a_{20[/tex]

Since it is a geometric sequence, first we need to calculate the common ratio (r)

[tex]r = \frac{a_2}{a_1}[/tex]

From the sequence:

[tex]a_2 = 1/4[/tex]

[tex]a_1 = -1/2[/tex]

[tex]a_1[/tex] is the same as [tex]a[/tex]

So:

[tex]r = \frac{a_2}{a_1}[/tex]

[tex]r = \frac{1/4}{-1/2}[/tex]

[tex]r = -1/2[/tex]

[tex]a_{20[/tex] is then calculated as:

[tex]a_n = ar^{n-1}[/tex]

Where

[tex]n = 20[/tex]

[tex]a_{20} = ar^{20-1}[/tex]

[tex]a_{20} = ar^{19}[/tex]

[tex]a_{20} = (-1/2) * (-1/2)^{19}[/tex]

Apply law of indices

[tex]a_{20} = (-1/2)^{1+19}[/tex]

[tex]a_{20} = (-1/2)^{20}[/tex]

Evaluate the exponent

[tex]a_{20} = 1/1048576[/tex]

Answer:

2.5 times 4.5 times .5 = 5.625 ft squared

Step-by-step explanation:

Lets look at our Formula

.5 times base of triangle (b) times height of triangle (h)

Based on the photo, the height is 4.5 feet and the base is 2.5 feet.

4.5 times 2.5 times .5 (the 1/2 in the formula) = 5.625 ft squared.

Remember that it is 1/2 times the base and height, b/c triangle is half of square. Ft squared because ft times ft equals ft squared

Answer:

8:15

or 8/15

Step-by-step explanation:

8 out of 15

Answer:

8:15

Step-by-step explanation:

There are 8 red apples and total of 15 apples

Answer:

Step-by-step explanation:

The zeroes are the values of such that

m² - 11m + 18 = 0

Quadratic formula:

m = [11 ± √(11² - 4∘1∘18)]/[2∘1]

= [11 ± √49]/2

= [11 ± 7]/2

= 9, 2

Answer:

D=40

C=140

E=140

Step-by-step explanation:

opposite angles are congruent in parallelograms, so D is equal to 40. Also, the interior angles of any quadrilateral always equal 360, and because there are only 2 angles left that we don't know what they equal, if we add 40 to 40, which equals 80, and then subtract 80 from 360, we get 280, which we then divide by 2, to get 140 for C and E.

Answer:

(C)

Step-by-step explanation:

please click the heart and rate excellent and brainleist to ❤☺️☻♨️♨️☻☺️❤

Answer:

3. X = (-4, -5), Y = (0, -3), Z = (-1, -7)

4. Refer back to my explanation.

5. a. Refer back to my explanation.

5. b. 28 units^2; please solve for the other rectangle.

5. c. No, because translation means moving the figure, not changing the shape or size.

Step-by-step explanation:

Warning in advance: the picture is very blurry when looking at the numbers on the graph so I have tried my best to decipher them.

3.

First, write down the ordered pairs for X, Y, and Z.

X = (-1, 4)

Y = (3, 6)

Z = (2, 2)

Note that horizontal movement (moving left or right) affects only the x coordinate. If you are moving to the left, you will subtract from the x coordinate. If you are moving to the right, you will add to the x coordinate.

Vertical movement (moving up or down) affects only the y coordinate. If you are moving up, you will add to the y coordinate. If you are moving down, you will subtract from the y coordinate.

Apply this concept to the ordered pairs:

Moving left = subtraction from x coordinate

Moving down = subtraction from y coordinate

X2 = (-1 - 3, 4 - 9) = (-4, -5)

Y2 = (3 - 3, 6 - 9) = (0, -3)

Z2 = (2 - 3, 2 - 9) = (-1, -7)

Your new image should have X at (-4, -5), Y at (0, -3), and Z at (-1, -7).

4.

After reading the concepts and seeing my explanation and demonstration, please try number 4 on your own. If you have any questions, feel free to ask me for help.

5. a.

The same goes for this problem since it is the same concept.

5. b.

To find the area of a rectangle, use the equation length × width, also known as l × w. In order to figure out what the length and width are equal to, count the units on the graph. JK is 7 units wide. Since this is a rectangle, ML will be the same width, 7 units. KL is 4 units long so JM will also be 4 units long. Now that we know the number of units, we can plug the numbers into the formula:

4 units × 7 units = 28 units^2

The question asks to solve for the area of each rectangle so please try the same for the rectangle you create from problem 5. a.

5. c.

The area of a figure will not change after translation because translation does not affect the figure's size or shape. If the figure is only moved, then no part of its area is changed so no, the area of a figure will not change.

Answer: Look at the number of points where the graphs intersect each other...the points where the graphs of the functions cross each other are the solutions to the system. Upon looking, you should see 4 points where the graphs intersect, so there are 4 solutions to the non-linear system of equations.

Answer: 5 cups of beans

Step-by-step explanation:

25/5=5

OR

5•5=25

Answer:

22.78

Step-by-step explanation:

22 x 0.05 = 1.1

22 - 1.1 = 20.9

20.9 x 0.09 = 1.881

20.9 + 1.881 = 22.781

Answer:

I would need to see the models to answer this question.

Answer:

?

Step-by-step explanation:

Answer:

13 gallons of water

Step-by-step explanation:

Answer:

20 days

Step-by-step explanation:

Answer:

2 and 3/5

Step-by-step explanation:

5 can go into 13 twice and u have 3 left over which equals 2 and 3/5

hope this helps

Answer:

0.002

Step-by-step explanation:

2 thousandths is in the thousandths place, which is 3 digits to the right of the decimal point. Hope this helped!

Answer:

hiii

Step-by-step explanation:

hiii

Answer:

Proved

Step-by-step explanation:

This question is incomplete. The complete details are:

[tex]v = 13.5m/s[/tex] --- speed of the lorry

[tex]v_2 =50km/h[/tex] --- speed limit on the road

Required

Prove that the lorry is within the speed limit

To do this, we simply convert the speed of the lorry to km/h.

So, we have:

[tex]v = 13.5m/s[/tex]

[tex]1m = 0.001km[/tex]

and

[tex]1s = \frac{1}{3600}h[/tex]

So, the expression becomes:

[tex]v = \frac{13.5 * 0.001km}{1/3600h}[/tex]

[tex]v = \frac{0.0135km}{1/3600h}[/tex]

Rewrite as:

[tex]v = 0.0135km/h * 3600[/tex]

[tex]v = 48.6km/h[/tex]

48.6km/h is less than 50km/h (the speed limit).

Hence, the lorry is within the speed limit.

9514 1404 393

Answer:

  6.5 ft wide by 8 ft long

Step-by-step explanation:

We can let x represent the width of the rectangle. Then the length is ...

  L = 2x -5

and the area is ...

  A = LW = (2x -5)(x) = 52

  2x² -5x -52 = 0 . . . . . put in standard form

  (2x -13)(x +4) = 0 . . . . factor

  x = 6.5, -4 . . . . . . . . . . values that make the factors zero

The length is then ...

  L = A/W = 52/6.5 = 8

or

  L = 2W -5 = 2(6.5) -5 = 13 -5 = 8

The rectangle is 6.5 feet wide and 8 feet long.

Answer:

585 foxes

Step-by-step explanation:

36/12 = 3    

That means there are 3 fifteen-year periods in 36 years.  

So after 3 fifteen-year periods, there will be 65 × 3³ foxes

That is 75(27) foxes  

585 foxes

Answer:

156.9

Step-by-step explanation:

∠x=4(∠y)

Angles in a triangle add to 180:

∠x+∠y+90=180

4(∠y)+∠y=90

5(∠y)=90

∠y=18

The left side of the parallelogram is opposite ∠y, which we know, and we know the adjacent (marked as 57) so we can use tan:

tanA=opposite/adjacent

tan18=(side)/57

side=18.5204226853

Similarly, we can find the base of the shape using cos:

cosA=adjacent/hypotenuse

cos18=57/(base)

base=59.9333467816

Perimeter = 2(side)+2(base)

=2(18.5204226853)+2(59.9333467816)

=37.0408453706+119.866693563

=156.907538934

≈156.9

Step-by-step explanation:

Distance = Speed x Time

Given Distance = 40km/h or kph

Time = 5 hours 15 minutes

=

[tex]5 \frac{15}{60} \\ = 5 \frac{1}{4} \\ = 5.25hours [/tex]

Distance Travelled = 40 kph x 5.25 hours

= 210km

Answer:

that makes no sense.

Step-by-step explanation:

Answer:

33 ft²

Step-by-step explanation:

The area of the outdoor carpet = area of trapezoid + area of rectangle + area of triangle

✔️Area of trapezoid = ½(a + b)h

Where,

a = 6 ft

b = 3 ft

h = 11 - 9 = 2 ft

Area of trapezoid = ½(6 + 3)*2 = 9 ft²

✔️Area of rectangle = L*W = 7 *3 = 21 ft²

✔️Area of triangle = ½bh

b = 2 ft

h = 3 ft

Area = ½*2*3 = 3 ft²

✅Area of the outdoor carpet = 9 + 21 + 3 = 33 ft²

Answer:

the distance covered is 11.25 km

Step-by-step explanation:

Given that

The speed of the bicycle is 15 km/h

And, the time taken of the bicycle is 45 minutes

We need to determine the distance covered

As we know that

Speed = Distance ÷ Time

So, distance = Speed × time

= 15 km /h × 0.75 hours

= 11.25 km

The 0.75 hours come from

= 45 minutes ÷ 60 minutes

= 0.75 hours

Hence, the distance covered is 11.25 km

Answer:

4

Step-by-step explanation:

The highest/exponent of the variable is the degree of the polynomial.

[tex]9m^{4} - 4m^{3} + 8m - 5[/tex]

Here, the highest degree of the variable m is 4

So, degree of the polynomial = 4