Which expression shows a way to find 25% of 1000?

Answer:

The value of the first quartile is 13.

Step-by-step explanation:

0    0 0 5 8

1     2 3 5 8 8 9

2    2 4 6 7 7 7

3    3 5 6

4    2 4 6

5    7

Its median is greater than its mode.

median is 12th data point = 24  mode = 27  false

It has a range of 52 pages.  

range is largest minus smallest = 57-0 = 57  false

The value of the first quartile is 13.

There are 11 data points 11/2 = 5.5 = 1st quartile is 6th data point = 13

The data is symmetric.

it is not symmetric

Answer:

C) The value of the first quartile is 13.

Step-by-step explanation:

Answer:

It would be 2 x the absolute value of the y coordinate.

Step-by-step explanation:

Example:

(5,-3)

Absolute value of y-coordinate is 3 and distance would equal 2 x 3 = 6 units apart.

Answer:more people will be living in Africa than in Asia sometime around 2120

Step-by-step explanation:

Answer:

More people will be living in Africa than in Asia sometime around 2120.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

since she wants to keep 300 in her account first you would subtract 300 from 600 to get 300. Then you would divide it by 20 to get 15 so your answer would be a because she want's to keep at least 300 in her account.

Answer:

A

Step-by-step explanation:

Answer:

0.1875 and 0.12

Step-by-step explanation:

3/4x1/4 is 0.1875. 3/5 x 1/5 is 0.12

Answer:

1)0.1875

2)0.12

Step-by-step explanation:

Answer:

[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]

Step-by-step explanation:

Both variable can be rewritten into polar form:

[tex]z_{1} = 3\cdot e^{i\cdot 0.205\pi}[/tex] and [tex]z_{2} = \frac{2}{3}\cdot e^{i\cdot 0.294\pi}[/tex]

The complex product is equal to:

[tex]z_{1}\cdot z_{2} = (3)\cdot \left(\frac{2}{3}) \cdot e^{i\cdot (0.205\pi+0.294\pi)}[/tex]

[tex]z_{1}\cdot z_{2} = 2 \cdot e^{i\cdot 0.499\pi}}[/tex]

The resultant expression in rectangular form is:

[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]

Answer:

The correct question is:

Find [tex]z_{1}.z_{2}[/tex] if [tex]z_{1}= 3(cos37 + isin37)[/tex] and [tex]z_{2}= \frac{2}{3} (cos53 + isin53)[/tex].

(Note: the angles mentioned in the equations above are in degrees)

The answer is [tex]z_{1}.z_{2}= 2i[/tex]

Step-by-step explanation:

[tex]z_{1}.z_{2}= 3(cos37 + isin37)* \frac{2}{3} (cos53 + isin53)[/tex]

[tex]z_{1}.z_{2}= (3cos37 + 3isin37)* (\frac{2}{3} cos53 + \frac{2}{3}isin53)[/tex]

[tex]z_{1}.z_{2}= 3cos37*\frac{2}{3} cos53 + 3cos37*\frac{2}{3}isin53+3isin37*\frac{2}{3} cos53+3isin37*\frac{2}{3}isin53[/tex]

[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex] (Because [tex]i*i=i^{2}=-1[/tex] & [tex]i=\sqrt{-1}[/tex])

[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex]

[tex]z_{1}.z_{2}= 2i[/tex]

Answer:

8m(4 + 7p)

Step-by-step explanation:

Take out the greatest common factor:

8m(4 + 7p)

Answer: C(x) = 2000+ 0.05 x

Step-by-step explanation:

Hi, to answer this question we simply have to apply the next formula:

Cost (C) = fixed cost + (cost per pencil x number of pencils)

Since:

Fixed cost: $2000

Cost per pencil : $0.05

Replacing with the values given:

C(x) = 2000+ 0.05 x

Where x is the number of pencils manufactured.

Feel free to ask for more if needed or if you did not understand something.

Answer:

B and E

Step-by-step explanation:

2x²-7x+3=0

2x²-x-6x-3=0

x(2x-1)-3(2x-1)=0

(x-3)(2x-1)=0

x=3 or x=1/2

Answer:

x=7

Step-by-step explanation:

(3x+7)=4x

Subtract 3x from each side

(3x+7) -3x=4x-3x

7 = x

Answer:

Probability of students who plays both baseball and basketball is [tex]\frac{2}{25}[/tex]

Step-by-step explanation:

We have given total number of students = 25

5 of them play basket ball 10 of them plays base ball

there are 12 students who neither play baseball nor basket ball

So the number of students who play either baseball or basketball is

[tex]n(A\cup B)=25-12=13[/tex], here A is for basketball and B is for baseball.

From set theory we know that

[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]

[tex]13=5+10-n(A\cap B)[/tex]

[tex]n(A\cap B)=2[/tex]

Therefore there are two students who play both baseball and basketball

Probability is equal to [tex]=\frac{2}{25}[/tex]

Step-by-step explanation:

1.

   First blank: total amount of outcomes

2.

   since there's four possible outcomes: (Head-Head, Head-Tail, Tail-Head, and Tail-Tail) Mason should expect to win 1/4 of the time, or roughly 50 times.

3.

   a) F

   b) F

   c) T

   d) T

   e) T

    f) T

4.

17/36, because 17 of the answers are greater than 10 and there are 36 total answers.

Sorry I didn't answer all of them, hopefully this still helps!

Goodluck with your schoolwork/homework!

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

Apologies in advance for any errors/bad explanations.

Answer:

Step-by-step explanation:

true true false

Answer:

1. The circumference of the circular base of the conical hat is 52.36 inches

2. The surface area of the cone that needs to be covered is  262 in.²

Step-by-step explanation:

Here we have that the given parameters are;

Diameter, D of circular = 20 in. = 2 × radius R, of the circle

R = 10 in.

Cut out section of cut out sector of circle = 60°

Therefore, circumference of the circular base = π×D×(360 - 60)/360 which gives;

The circumference of the circular base of the conical hat = π×20×(30)/36 = π·50/3 = 52.36 in.

Therefore, the radius of the formed cone = π·50/3/(2·π) = 25/3 = [tex]8\tfrac{1}{3}[/tex] = 8.33 in.

The formed cone satisfies the equation;

R² = h² + r²

Where:

h = Height of the cone

r = radius of the cone

∴ 10² = h² + 8.33²

∴ h² = 10² - 8.33² = 30.56 in.

The lateral surface area of the cone = π×r×l where l = R, we therefore have;

The lateral surface area of the cone = π×8.33×10 = [tex]\pi \cdot 8\tfrac{1}{3}[/tex] = 261.8 in.² = 262 in.².

The surface area of the cone that needs to be covered = The lateral surface area of the cone = 262 in.².

Answer:

12

Step-by-step explanation:

Just substitute 60 for a and divide it by 5

Ta Da!!

Answer:

3

Step-by-step explanation:

This is written in the form

y= mx+b

where m is the slope and b is the y intercept

3 is the slope and -4 is the y intercept

Answer:

(x+1)(x+2)

Step-by-step explanation:

Answer:

(x-1)(x-2)

Explanation:

To factor x^2-3x+2 as (x+a)(x+b) we need to find number a and b such that a+b=-3 ab=2

Summary of above: (−1)+(−2)=−3

So the integers we are looking for are

−1 and −2

Therefore, x^2-3x+2=(x-1)(x-2)

Answer:

  (x -1)(x -5)

Step-by-step explanation:

We recognize that 6 is the sum of the factors of 1·5, so we can write the factorization as ...

  x^2 -6x +5 = (x -1)(x -5)

_____

The product of factors will be ...

  (x +a)(x +b) = x^2 +(a+b)x +ab

So, the binomial constants "a" and "b" are factors of the trinomial constant that have a sum equal to the coefficient of the linear term. Here, those are factors of +5 that have a sum of -6. The factors of interest are -1 and -5: 5 = (-1)(-5); -6 = (-1) +(-5).

Answer:

50,000 thousands make a crore.

Step-by-step explanation:

One crore (1,00,00,000) is equal to one hundred lakh (10,000 × 1,000). Thus, 10,000 thousands make a crore.

Answer:

Step-by-step explanation:

d = 16 cm

r =16/2= 8 cm

Total surface area = 3πr² cubic units

= 3 * 3.14 * 8 * 8

= 602.88

= 603 cm²

Answer:

Pierre is right.

Step-by-step explanation:

A growth rate of 2% means that the values is increasing by 0.02 each year so the multiplying factor is 1.02.

Pierre is correct y = 300(1.02)^x.

Scotts  answer 1.2 = a growth rate of 20%.

Answer:

x = -3  ±sqrt(27)

Step-by-step explanation:

x^2 +6x = 18

Take the coefficient of x

6

Divide by 2

6/2 =3

Square it

3^2 = 9

Add this to each side

x^2 +6x+9 = 18+9

6/2 or 3 is what is inside the (x+   )^2 on the left

(x+3) ^2 = 27

Take the square root of each side

sqrt((x+3) ^2) = ±sqrt(27)

x+3 = ±sqrt(27)

Subtract 3 from each side

x+3-3 = -3  ±sqrt(27)

x = -3  ±sqrt(27)

Answer:

12.8

12 1/2

12 2/5

12.09

Answer:

we can conclude that more than 50% of community college students plan to vote in the next presidential election

Step-by-step explanation:

Decision Rule

If;

P-value > significance level --- accept Null hypothesis

P-value < significance level --- reject Null hypothesis

Z score > Z(at 95% confidence interval) ---- reject Null hypothesis

Z score < Z(at 95% confidence interval) ------ accept Null hypothesis

Null hypothesis H0: 50% of community college students plan to vote in the next presidential election

H0: p = 0.50

Ha: More than 50% of community college students plan to vote in the next presidential election

Ha: p > 0.50

P-value = 0.02

From the decision rule;

Since the p-value for this study is less than the significance level.

0.02 < 0.05

So, we reject the null hypothesis, there is enough evidence to reject the null hypothesis. We thereby accept the alternative hypothesis.

Therefore, we can conclude that more than 50% of community college students plan to vote in the next presidential election

Answer:

1 . There will be enough cup of punch to serve all 14 guest

2. There will be 2 cups of punch left.

Step-by-step explanation:

Mr  Hernandez combines 1 gallon of orange juice, 3 pint of pineapple juice and 2 quarts of lemon-lime soda to make punch for a party.

This combination makes up the punch.  We have to convert to cups to ascertain if the punch will be enough to serve 14 guest which are entitle to 2 cups of punch. The 14 guest will consume a total of 28 cups of punch .

1 gallon of  orange juice = 16 cups of orange juice

1 pint = 2 cups

3 pints of pineapple =  6 cups

1 quarts = 4 cups

2 quarts of lemon-lime soda = 8 cups

When you combine all the cups together, the total punch will be = 16 + 6 + 8 = 30  cups of punch.

The guest will consume a total of 14 × 2 = 28 cups of punch. There will  be 30 - 28 = 2 cups of punch left.

Answer:

24/36 = 12 x 2/12 x 3 = 2/3.

Step-by-step explanation:

Answer:

  C. correct, but can be further simplified

Step-by-step explanation:

Elliot's work is correct, but he apparently failed to recognize that 64 = 8². The radical could be simplified to ...

  √64 = 8

Answer:

c

Step-by-step explanation:

got it right

Answer:

195 m3

Step-by-step explanation:

Answer:195 m^3

Step-by-step explanation:

volume of triangular prism=base area x height

height=h=5m

Base area=0.5 x 13 x 6

Base area=39

Volume of triangular prism=39 x 5

Volume of triangular prism=195m^3

Answer:

A: (-5,2)

Step-by-step explanation:

algebraically, a 180 rotation about the origin switches the original coordinates of (x,y) to (-x,-y), so the answer would be (-5,2) after plugging the numbers into this formula