If a number cube is rolled, how many times would we expect to get a number less than four out of 200 trials? Answer is 100

100
25
50
75

Answer:

D=76^3

Step-by-step explanation:

We have to just simplify the equation then do the addition/subtraction.

Answer:

25

Step-by-step explanation:

you subtract the highest number

Answer:

The "range" of a set of numbers is just the difference between the biggest number and the smallest number. (The maximum "far-apart-ness" of the scores).

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Answer + Step-by-step explanation:

let x be the age of Kevin

    y be the age of his mother

a) We can convert the statement “the sum of their ages is 61” into the equation: x + y = 61

b) the coordinates of the intersection point are (15 , 46)

Interpretation:

The age of Kevin is 15

The age of Kevin’s mother is 46

Step-by-step explanation:

Let,

Given that,

Kevin's age + Mother's age = 61

x + y = 61 [tex]\rightarrow[/tex] required equation for a)

[tex]\rule{150pt}{2pt}[/tex]

Now, we have two equations.

y - 3x = 1 -------(1)

y + x = 61 --------(2)

On solving them (using the substitution method),

[tex]\left. \begin{cases} { y-3x = 1 } \\ { y+x=61 } \end{cases} \right.[/tex]

Take ----(1)

[tex]y-3x=1 \\y=3x+1[/tex]

Now, substitute the value of y in ----(2)

[tex]y + x = 61\\3x+1+x=61 \\4x+1=61 \\4x=60 \\x = 15[/tex]

Substitute the value of x in -----(1),

[tex]y=3\times 15+1 \\y= 45+1\\y = 46[/tex]

So,

[tex]\boxed{\bf\:x = 15, \:y = 46}[/tex]

Now, by graphing them (see the attachment), the point of intersection is O (15, 46). Hence, from this we can infer that, Kevin is 15 years old while his mother is 46 years old. [tex]\rightarrow[/tex] answer for b)

[tex]\rule{150pt}{2pt}[/tex]

Answer:

  3x=27

Step-by-step explanation:

3(3x+4)=12x-15

9x+12=12x-15

-9x      -9x

___________

12=3x-15

+15    +15

_________

27=3x

3x=27

Answer:

9

Step-by-step explanation:

3(3x+4)=12x-15

or,3x+4=3(4x-5)/3

or,3x+4=4x-5

or,4+5=4x-3x

or,9=x

.:x=9

Hence,

x=9

Answer:

[tex]\displaystyle \lim_{x \to -\infty} (-7x^5 + x^3) = \infty[/tex]

General Formulas and Concepts:
Calculus

Limits

Limit Rule [Variable Direct Substitution]:
[tex]\displaystyle \lim_{x \to c} x = c[/tex]

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyle \lim_{x \to -\infty} (-7x^5 + x^3)[/tex]

Step 2: Evaluate

Recall that x⁵ is a "faster" function than x³. Also recall that we have 2 negatives, which would turn positive. Therefore, we can ignore the 2nd part of the limit and focus on the first:
[tex]\displaystyle \begin{aligned}\lim_{x \to -\infty} (-7x^5 + x^3) & = -7(- \infty)^5 + (- \infty)^3 \\& = -7(- \infty)^5 \\& = -7(- \infty) \\& = 7(\infty) \\& = \boxed{\infty} \\\end{aligned}[/tex]

∴ we have found the limit to equal infinity.

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Answer:

7

Step-by-step explanation:

3/10+4/10 =7/10

Answer:

7/10, or 70%

Step-by-step explanation:

You just add the fractions together and get 7/10. You could also find a common denominator and the add them together. You would do, 9/30+ 12/30= 21/30, or 7/10.

The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. The measure of the ∠B=29.5°.

The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,

[tex]\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}[/tex]

where Sin A is the angle and α is the length of the side of the triangle opposite to angle A,

Sin B is the angle and β is the length of the side of the triangle opposite to angle B,

Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.

Given that sides a=10, b=5 and the measure of the ∠A=100°. Therefore, the using the sine law,

[tex]\rm \dfrac{Sin\ A}{a} = \dfrac{Sin\ B}{b}[/tex]

[tex]\rm \dfrac{Sin\ 100^o}{10} = \dfrac{Sin\ B}{5}\\\\\rm \dfrac{(Sin\ 100^o) \times 5}{10} = Sin\ B\\\\Sin\ B = 0.04924\\\\\angle B = 29.498^o \approx 29.5^o[/tex]

Hence, the measure of the ∠B=29.5°.

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The appropriate null and alternate hypotheses are (d) H0: p = 0.10 and H1: p ≠ 0.10

From the question, we understand that:

The proportion of reports that have their cars stolen is given as 10%

Null hypothesis is represented with the equality sign.

So, the null hypothesis is H0: p = 0.10

The alternate hypothesis is represented with the unequal sign.

So, the alternate hypothesis is H1: p ≠0.10

Hence, the appropriate hypotheses are (d) H0: p = 0.10 and H1: p ≠ 0.10

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Answer:

one is 2 and another is 7

Step-by-step explanation:

let n be the positive integer and n' be the greater integer.

Given condition

n+5=n' ......eqn i

n×n'=14

n(n+5)=14. [from equation i]

n²+5n-14=0

n²+7n-2n-14=0

(n-2)(n+7)=0

either. or

n=2. n=-7(impossible)

therefore n=2 and hence n'=n+5=7.

Answer:

6 inches

Step-by-step explanation:

Solving

Width of the hat

Answer:

6.00 in (nearest hundredth)

Step-by-step explanation:

Lateral surface area = surface area excluding the bases(s)

Lateral surface area of a cone = [tex]\pi rs[/tex]

(where r is the radius and s is the slant height)

Given:

[tex]\implies 66= \pi r \cdot 7=7 \pi r[/tex]

[tex]\implies r=\dfrac{66}{7 \pi}[/tex]

The width of the hat is the diameter.  As diameter = 2r:

[tex]\begin{aligned}\implies \textsf{width} & =2 \cdot \dfrac{66}{7 \pi}\\\\ & =\dfrac{132}{7 \pi}\\\\ & = 6.00\: \sf in\:(nearest\:hundredth)\end{aligned}[/tex]

Answer:

The Height is 15in

Step-by-step explanation:

V=L.W.H

300=10x2xH

300=20xH

300/20=H

H=15in

Answer:

3421.19 mm²

Step-by-step explanation:

The area equation is πr²

So then you'd plug in 33 as your r because that's your radius and youd get the equation: π×33²

Which is ≈ 3421.19 mm²

Answer:

Sample Space

Step-by-step explanation:

Answer:

A complex number will, in general, have five(5) fourth complex roots.

Step-by-step explanation:

We know that the nth complex roots of unity are graphically represented on a unit circle such that there are a total of n roots located at a distance by an angle of

Hence, here we are asked to find the number of complex roots of fifth complex roots.

                   i.e. n=5

           Hence, we have five(5) fifth complex roots.

Answer:

A)  $40 total interest

B) $440

Answer:

○ C

Explanation:

Accourding to one of the circle equations, [tex]\displaystyle (x - h)^2 + (y - k)^2 = r^2,[/tex]the centre of the circle is represented by [tex]\displaystyle (h, k).[/tex]Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared. Now, in case you did not know how to define the radius, you can choose between either method:

Pythagorean Theorem

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 6^2 + 8^2 = r^2 \hookrightarrow 36 + 64 = r^2 \hookrightarrow \sqrt{100} = \sqrt{r^2} \\ \\ \boxed{10 = r}[/tex]

Sinse we are dealing with length, we only desire the NON-NEGATIVE root.

Distanse Equation

[tex] \displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d \\ \\ \sqrt{[-5 - 3]^2 + [3 + 3]^2} = r \hookrightarrow \sqrt{[-8]^2 + 6^2} = r \hookrightarrow \sqrt{64 + 36} = r; \sqrt{100} = r \\ \\ \boxed{10 = r}[/tex]

Sinse we are dealing with distanse, we only desire the NON-NEGATIVE root.

I am joyous to assist you at any time.

Answer:

i think it is 2.1

Answer:By a factor of 2 6/7.

Step-by-step explanation:

That would be  9 1/7 divided by 3 1/5

=  64/7 / 16/5        Invert the dividing fraction:

= 64/7 * 5/16

=  4/7 * 5

= 20/7

= 2 6/7.

Step-by-step explanation:

Answer:

a and d are both true. The rest are not.

Step-by-step explanation:

1 and 6 are like terms. They are both integers. They can be combined. This statement is true.

7 is a numerical coefficent. This statement is true.

===========================================

The others are all false for one reason or another

b is false. The factor is made up of 2 terms not 3. 7a is one term.

c is false. "a" is a variable. So the whole term can be anything.

e is false. 7a + 2 is a factor

f is false. There are two true statements.

Answer:

V = π 12²h because i dont know where 6² came from.

just go with either 3 or 4.

Answer:

400 visitors were there for 65 and over

Step-by-step explanation:

20÷100×2000

20÷100=0.2

0.2×2000=200

hope it will help you

Answer: The answer is 18 bread pieces

Step-by-step explanation:

SECOND ONE he will need 9 loafs of bread because 108 divided by 12 equals 9 so he will ned 9 loafs

The values that are required to complete the table above indicating the distance traveled by the tortoise in the time elapsed are calculated below.

Mathematically, the distance traveled by the tortoise would be calculated by using this formula:

Distance = speed (rate) × time

When time = 1 min, we have:

D₁ = 20 × 1

D₁ = 20 meters.

When time = 2 min, we have:

D₂ = 20 × 2

D₂ = 40 meters.

When time = 3 min, we have:

D₃ = 20 × 3

D₃ = 60 meters.

When time = 4 min, we have:

D₄ = 20 × 4

D₄ = 80 meters.

When time = 5 min, we have:

D₅ = 20 × 5

D₅ = 100 meters.

When time = 6 min, we have:

D₆ = 20 × 6

D₆ = 120 meters.

When time = 7 min, we have:

D₇ = 20 × 7

D₇ = 140 meters.

When time = 10 min, we have:

D₁₀ = 20 × 10

D₁₀ = 200 meters.

When time = 15 min, we have:

D₁₅ = 20 × 15

D₁₅ = 300 meters.

When time = 20 min, we have:

D₂₀ = 20 × 20

D₂₀ = 400 meters.

When time = 25 min, we have:

D₂₅ = 20 × 25

D₂₅ = 500 meters.

When time = 30 min, we have:

D₃₀ = 20 × 30

D₃₀ = 600 meters.

When time = 35 min, we have:

D₃₅ = 20 × 35

D₃₅ = 700 meters.

When time = 40 min, we have:

D₄₀ = 20 × 40

D₄₀ = 800 meters.

When time = 50 min, we have:

D₅₀ = 20 × 50

D₅₀ = 1,000 meters.

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Add the amount it was reduced to the new price:

3.49 + 31.38 = 34.87

Original price = $34.87

Answer:

When finding the unknown original price, add the sale reduction to the new sale price to get the old sale price.

[tex]3.49 + 31.38 = 34.87[/tex]

Therefore, the original sales price was 34.87

The equation that describes the greatest horizontal length, H, in terms of the greatest vertical length, V is H = 2V + 3.

Your information is incomplete. Therefore, an overview will be given.

Let's assume that the value of the horizontal length is 3 plus twice the value of the the vertical length. This will be:

H = (2 × V) + 3

H = 2V + 3

In conclusion, the equation is H = 2V + 3.

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Answer:

72 miles ....then she snored off

Step-by-step explanation:

18 % of 400  = .18 * 400 =  72 miles

Answer:

The sum of the numerators is incorrect.

The one where -1/2 is the final answer.

Step-by-step explanation:

-5/8 + 1/8 does equal (-5 + 1)/8. However, -5 + 1 is not equal to -6. It is equal to -4. -4/8 would simplify down to -1/2, which is the correct answer.