how old am i if 300 reduced by 2 times my age is 130

Answer:

[tex]C)[/tex] [tex]1/32 ~yd^3[/tex]

Step-by-step explanation:

[tex]l*b*h[/tex]

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hope it helps...

have a great day!!

I think it is -4 and positive 2

Answer:

We reject H₀.  We support that the new average credit card debt is bigger than the previous average

Step-by-step explanation:

Five years earlier

μ   = 8189

σ  =  690

Sample size   n  = 32

Recent year debt

x  =  8776

Sample size   n  = 32

a) Hypothesis Test:

Null Hypothesis                        H₀            x  =  μ   = 8189

Alternative Hypothesis           Hₐ             x >  μ

b) z(c)  Alternative Hypothesis establishes that the test is a one tail-test to the right.

z(c)   for significance level  α = 0.05    is  from z-table      z(c) = 1,64

c) z(s)  =  (  x  -   μ ) / σ /√n

z(s)  =  ( 8776  - 8189 ) / 690 /√32

z(s)  =  587 *5,66/ 690

z(s) = 4,81

d) Comparing   z(c)    and z(s)

z(s)  >  z(c)   Then z(c) is in the rejection region and we reject H₀

e) We have evidence that at 95 % of confidence the new value for the debt in credit card is now bigger than the average

Answer:

The surface area of the cyclinder=2πr²+2πrh

=(2×3.14×10²)+(2×3.14×10×6)

=628.5714285714+377.1428571428

=1005.714285714cm²

round it as possible

Answer:

c/8=9

Step-by-step explanation:

Answer:

c²+ 3c-40

Step-by-step explanation:

hope that helps

Answer:

115/13

Step-by-step explanation:

convert mixed number into improper fraction

8×13+11

multiply

104+11/13

add

104+11=115

115/13

Answer:

[tex]median=6 ~eggs[/tex]

Step-by-step explanation:

[tex]The~median ~is ~the ~middle ~line ~in ~the ~box ~plot[/tex].

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hope it helps...

have a great day!!

Answer:

Q1 : 2. Q3: 8. Median:6

Step-by-step explanation:

2-8=6 hope that helps

Answer:

A

Step-by-step explanation:

where the graph

WHERE THE GRAPH???

Answer:

6 hours

Step-by-step explanation:

The trick to this type of problem is using an equal amount of time.

The least common multiple of 7 and 42 is 42

At 7 hours per wall

In 42 hours the bricklayer could build

42/7 = 6 walls

At 42 hours per wall

In 42 hours the apprentice could build

42/1 = 1 walls

Working together in 42 hours they could build 6 + 1 = 7 walls

42hours/7walls = 6hours/ wall

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Math only

x = 1 wall/7hours + 1wall/42 hours

use common denominator of 42

x = 6w/42 hr + 1w/42hr

x = 7w/42 hr

reduce

x = 1w / 6hr

Answer:

Area of a parallelogram = bh

= (14 × 10)cm^2 = 140cm^2 (ans)

Hope it helps

Answer:

OB. 12

Step-by-step explanation:

Since the die is a fair six-sided die and the question uses should... we know that a roll of "4" has a 1/6 chance to land every time the die is rolled.

1. 72 rolls * 1/6 chance to roll a 4 = 12 times

Answer:

3 1/2 hours

Step-by-step explanation:

84/24 = 3.5

Answer:

77/24

Step-by-step explanation:

Answer: y>-2 (The symbol has a underline)

Step-by-step explanation:

Since you want to move -4 to the -6 spot, do the opposite of the negative which is positive. So add +4 to each side. And the -4 will disappear and you will be left with y>-6+4. Solve -6+4= -2 And so the answer is y>-2.

Hope this helps

Answer:

$20 per week for 10 weeks

Step-by-step explanation:

It's the only one that even mathematically makes sense, and this tactic is also used to make it look better than $200 upfront

Answer:

Length = 5

Width = 21

Step-by-step explanation:

(x)(x + 16) = 105

x^2 + 16x = 105

x^2 + 16x - 105 = 0

(x - 5) x ( x + 21) = 0

x - 10 = 0

x = 5

x + 21 = 0

x = -21

Now that we have the zeroes.

We have to find the most viable one to put in.

Using -21 would not make sense, so we will use 5.

Plug it in:

x = 5

(5) (5 + 16) = 105

5 ( 21) = 105

Answer:

but where is que

Step-by-step explanation:

i don't see the question

Answer:

5. m<A = 25.3°; m<B = 64.7°

6. m<A = 40.2°; m<B = 49.8°

Step-by-step explanation:

Recall: SOHCAHTOA

5. Reference angle = <A

Opposite = 9

Adjacent = 19

Apply TOA:

Tan A = Opp/Adj

Tan A = 9/19

A = Tan^{-1}(9/19)

A = 25.3461759° ≈ 25.3° (nearest tenth)

Reference angle = <B

Opposite = 19

Adjacent = 9

Apply TOA:

Tan B = Opp/Adj

Tan B = 19/9

B = Tan^{-1}(19/9)

B = 64.6538241° ≈ 64.7° (nearest tenth)

6. Reference angle = A

Opposite = 20

Hypotenuse = 31

Apply SOH:

Sin A = Opp/Hyp

Sin A = 20/31

A = sin^{-1}(20/31)

A = 40.2° (nearest tenth)

Reference angle = B

Adjacent = 20

Hypotenuse = 31

Apply CAH:

Cos B = Adj/Hyp

Cos B = 20/31

B = cos^{-1}(20/31)

B = 49.8° (nearest tenth)

Answer:

50% or 1/2

Step-by-step explanation:

A coin has 2 sides so 100/2 equals 50 so either 50% or 1/2. There is your answer

Answer: 6x+6

Step-by-step explanation:

3*2x=6x

3*2=6

Therefore 3(2x+2) = 6x+6

Answer:

(5, 8)

Step-by-step explanation:

(5. – 5) down 3 units => (5, -8)

reflect x-axis => (5 , 8)

Answer:

its c

Step-by-step explanation:

Answer:

The first answer is right (18).  Second answer is 50= 3.9x+2.8, which is 12.1 so 13 would be the best answer to catch at least 50 fish.

Step-by-step explanation:

Answer: z = 3, -1.5 + 1.5[tex]\sqrt{3}[/tex]i, -1.5 - 1.5[tex]\sqrt{3}[/tex]i

Step-by-step explanation:

      A cubic equation will have three solutions. This equatoin will give us one real solution. We will also have two complex solutions. These are solutions that involve "imaginary numbers" and will utilize the value i. We will write the equation in standard form and factor it.

              z³ - 27 = 0

              (z - 3)(z² + 3z + 9) = 0

      The first factor gives us z = 3, because 3 - 3 = 0. Now, we will look at when the second factor equals 0. Let us complete the square.

              z² + 3z + 9 = 0

              (z² + 3z + 2.25) + 9 - 1.5 = 0

              (z² + 3z + 2.25) + 6.75 = 0

              (z + 1.5)² + 6.75 = 0

      Lastly, we can continue solving. We will subtract 7.5 from both sides of the equation and then take the square root of both sides. Then, we will subtract 1.5 from both sides of the equation and simplify the radical.  [tex]i=\sqrt{-1}[/tex].

              (z + 1.5)² = -6.75

              z + 1.5 = ±[tex]\sqrt{6.75}[/tex]i

              z = -1.5 ±1.5[tex]\sqrt{3}[/tex]i

Answer:

  z = 3, -1.5+1.5√3i, -1.5-1.5√3i

Step-by-step explanation:

You want the solutions to the equation z³ = 27.

A cubic equation has three solutions. This one has one positive real solution and two complex conjugate solutions.

We can rewrite the equation to standard form, then factor the difference of cubes.

  z³ -27 = 0

  (z -3)(z² +3z +9) = 0

The first factor will be zero when z = 3, so that is one solution.

The second factor will be zero when ...

  (z +1.5)² +6.75 = 0 . . . . . . . complete the square

  (z +1.5) = ±√(-6.75) = ±√(-27/4) = ±(3/2)√(-3) . . . subtract 6.75; square root

  z = -1.5 ±1.5√3i

The three solutions to the equation are ...

<95141404393>

Answer:

No.

Step-by-step explanation:

Explanation below.

Answer:

Could u include a picture of the figures as well?

Step-by-step explanation:

Answer:

(a) 8 balls

(b) 4 balls

Step-by-step explanation:

Let

[tex]N \to[/tex] Number of balls

For a box, the probability that there are N balls in it is:

[tex]Pr = 0.5^N[/tex]

For 2 boxes, it is:

[tex]Pr = 2 * 0.5^N[/tex]

From the question, we have:

[tex]\frac{80}{10000} \to[/tex] Favorable outcome

To solve for N, we have:

[tex]2 * 0.5^N = \frac{80}{10000}[/tex]

[tex]2 * 0.5^N = 0.008[/tex]

Divide both sides by 2

[tex]0.5^N = 0.004[/tex]

Take log of both sides

[tex]\log(0.5^N) = \log(0.004)[/tex]

Apply law of logarithm

[tex]N\log(0.5) = \log(0.004)[/tex]

Make N the subject

[tex]N = \frac{\log(0.004)}{\log(0.5)}[/tex]

[tex]N =7.966[/tex]

Approximate

[tex]N = 8[/tex]

Solving (b): Balls in one of the two boxes.

Here, we assume that each ball will have almost the same number of balls at a given instance;

Hence, we have:

[tex]Balls \approx \frac{N}{2}[/tex]

[tex]Balls \approx \frac{8}{2}[/tex]

[tex]Balls \approx 4[/tex]

4 balls in each box

Answer:

The solution is [tex]x = -\frac{5}{6}[/tex]

Step-by-step explanation:

We solve this question using exponential properties.

We have that:

[tex](\frac{25}{4})^{3x} = \frac{32}{3125}[/tex]

Simplifying:

[tex](\frac{5^2}{2^2})^{3x} = \frac{2^5}{5^5}[/tex]

[tex]([\frac{5}{2}]^{2})^{3x} = (\frac{2}{5})^{5}[/tex]

[tex](\frac{5}{2})^{6x} = (\frac{2}{5})^{5}[/tex]

Changing the numerator and denominator in the right side:

[tex](\frac{5}{2})^{6x} = (\frac{5}{2})^{-5}[/tex]

Since both bases are equal:

[tex]6x = -5[/tex]

[tex]x = -\frac{5}{6}[/tex]

The solution is [tex]x = -\frac{5}{6}[/tex]

Answer: The attached figure is a parallelogram with one corner chopped off, making it a pentagon. It still has two pairs of parallel sides & no right angles.

Step-by-step explanation:

Parallelogram is the word that most generally describes such a figure. A square or rectangle, which do, of course have right angles, are special cases of the parallelogram.

I am assuming (perhaps unjustifiably) that when you say “two pairs of parallel sides” you are talking of a figure with no other sides than those four.

There are, of course, many other polygons (hexagons, octagons, decagons, etc) which have two pairs of parallel sides and other sides, any two of which may or may not be parallel.