16. Solve log 1/8x=-1

Answer:

1/52

Step-by-step explanation:

Theres 52 cards in a deck.

Answer:

1/52

Step-by-step explanation:

there are 52 cards in a deck of cards so the probability of getting an ace is 1/52

Answer:

D. 314 yds

Step-by-step explanation:

Given:

Diameter = 100 yds

Required;

Circumference of the circle

Solution:

Circumference of circle = πd

Plug in the value

Circumference = π × 100

= 314 yds (nearest whole number)

Answer:

25/19

Step-by-step explanation:

95/125

=25/19..answer

Answer: 3,633

Step-by-step explanation: 8,477 - 4,844 = 3,633

Answer: x^2+4

Step-by-step explanation:

Answer:

x^2 - 2x+4

Step-by-step explanation

Answer: hello your question is poorly written hence I will provide the required matrix

answer :

A = [tex]\left[\begin{array}{ccc}1&0&1\\0&1&1\\1&-1&0\end{array}\right][/tex]

Step-by-step explanation:

Given that the basis of the orthogonal complement have been provided already by you in the question I will have to provide the Matrix

The required matrix

[tex]\left[\begin{array}{ccc}1&0&1\\0&1&1\\1&-1&0\end{array}\right][/tex]

column1 = column 3 - column2

where column 3 and column 2 are the basis of the orthogonal complement of the column space of the Matrix

Answer:

1500g:250g

=

6:1

Hope I could help

Answer:

Then the probability distribution is:

P(0) = 1/3

P(1) = 4/15

P(2) = 1/5

P(3)  = 2/15

P(4) = 1/15

The expected value for X is:

EV = 1.33...

Step-by-step explanation:

We have a total of 6 marbles in the jar.

The probability of getting a red marble in the first try  (X = 0) is equal to the quotient between the number of red marbles and the total number of marbles, this is:

P(0) = 2/6 = 1/3

The probability of drawing one green marble (X = 1)

is:

First, you draw a green marble with a probability of 4/6

Then you draw the red one, but now there are 5 marbles in the jar (2 red ones and 3 green ones), then the probability is 2/5

The joint probability is:

P(1) = (4/6)*(2/5) = (2/3)*(2/5) = 4/15

The probability of drawing two green marbles (X  = 2)

Again, first we draw a green marble with a probability of 4/6

Now we draw again a green marble, now there are 3 green marbles and 5 total marbles in the jar, so this time the probability is 3/5

Now we draw the red marble (there are 2 red marbles and 4 total marbles in the jar), with a probability of 2/4

The joint probability is:

P(2) = (4/6)*(3/5)*(2/4) = (2/6)*(3/5) = 1/5

The probability of drawing 3 green marbles (X = 3)

At this point you may already understand the pattern:

First, we draw a green marble with a probability 4/6

second, we draw a green marble with a probability 3/5

third, we draw a green marble with a probability 2/4

finally, we draw a red marble with a probability 2/3

The joint probability is:

P(3) = (4/6)*(3/5)*(2/4)*(2/3) = (2/6)*(3/5)*(2/3) = (1/5)*(2/3) = (2/15)

Finally, the probability of drawing four green marbles (X = 4) is given by:

First, we draw a green marble with a probability 4/6

second, we draw a green marble with a probability 3/5

third, we draw a green marble with a probability 2/4

fourth, we draw a green marble with a probability 1/3

Finally, we draw a red marble with a probability 2/2 = 1

The joint probability is:

P(4) = (4/6)*(3/5)*(2/4)*(1/3)*1 = (1/5)*(1/3) = 1/15

Then the probability distribution is:

P(0) = 1/3

P(1) = 4/15

P(2) = 1/5

P(3)  = 2/15

P(4) = 1/15

The expected value will be:

EV = 0*P(0) + 1*P(1) + 2*P(2) + 3*P(3) + 4*P(4)

EV = 1*(4/15) + 2*( 1/5) + 3*( 2/15) + 4*(1/15 ) = 1.33

So we can expect to draw 1.33 green marbles in this experiment.

Step-by-step explanation:

21.6%

mark as brainliest

Answer:

195

Step-by-step explanation:

65%=65÷100=0.65

0.65×300=195

Answer:

I'm sorry hindi ko po alam

Answer:

46

Step-by-step explanation:

6+4×10=6+40

6+40=46

Answer:

5cm

Step-by-step explanation:

Answer:

it's 5 cm  (づ｡◕‿‿◕｡)づ

Step-by-step explanation:

the long side on the left is 16 cm

the side on the bottom right is 11 cm

11 + ? = 16

16 - 11 = 5 cm

Answer:

The sample size required is [tex]n = (\frac{1.96*6.84}{M})^2[/tex], in which M is the desired margin of error. If n is a decimal number, it is rounded up to the next integer.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Use 6.84 days as a planning value for the population standard deviation.

This means that [tex]\sigma = 6.84[/tex].

What sample size would be required to obtain a margin of error of M days?

This is n for the given value of M. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{6.84}{\sqrt{n}}[/tex]

[tex]M\sqrt{n} = 1.96*6.84[/tex]

[tex]\sqrt{n} = \frac{1.96*6.84}{M}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*6.84}{M})^2[/tex]

[tex]n = (\frac{1.96*6.84}{M})^2[/tex]

The sample size required is [tex]n = (\frac{1.96*6.84}{M})^2[/tex], in which M is the desired margin of error. If n is a decimal number, it is rounded up to the next integer.

Answer:

Step-by-step explanation:

1)

O = center of circle (origin)

we know that the angle at the center of the circle ∠ ROS will be

180= 2(31) + ∠x

180-62 = ∠x

118° = ∠x

The supplemental angle to the 118° will be 62°

62° is the interior angle to  arc QR , so

arc QR is also 62°

3)

b/c the intercepted arc YZ = 2* 68=136

then 136+125+? = 360

? = 99°

arc ZX = 99°

5)

O= center point

we are given the two arcs  120 and 70 for both of these we know that the

interior angles will be the same.  ∠JOX  has a central angle of 120 , then

b/c triangle JOX is an isosceles,  we know that the two angles J and X of

the triangle JOX will be 1/2 of  60 , or 30 each

also for    

also ∠XOY has an interior angle of 70 so the two angle at X and Y will be 1/2 of 110 , or 55°

now add 55+30 to find X for box XYZJ

85° = ∠X  

9514 1404 393

Answer:

  1) 62°

  3) 99°

  5) 85°

Step-by-step explanation:

The relevant relationships are ...

__

1) Arc QR has twice the measure of inscribed angle QSR, so is ...

  QR = 2×31° = 62°

__

3) Arc YZ is twice the measure of angle X, so is 2×68° = 136°. The sum of arcs around a circle is 360°, so ...

  arc XZ = 360° -125° -136° = 99°

__

5) The sum of arcs around a circle is 360°, so ...

  arc JZY = 360° -120° -70° = 170°

Angle X is half the measure of arc JZY, so is ...

  angle X = 170°/2 = 85°

Answer:

The volume of the hemisphere is 1,475.73 cm³.

Step-by-step explanation:

Given that a hemisphere is half a sphere, to determine the volume of a hemisphere with a diameter of 8.9 cm, the following calculation must be performed, knowing that the volume of a sphere is equal to 4/3 πr³, and the radius is half the diameter:

8.9 x 2 = 17.8 / 2 = 8.9

(4/3 x 3.14 x 8.9³) / 2 = X

(1.333 x 3.14 x 704.969) / 2 = X

(4.18666 x 704.969) / 2 = X

2,951.47 / 2 = X

1,475.73 = X

Therefore, the volume of the hemisphere is 1,475.73 cm³.

Answer:

3,833.856

Step-by-step explanation:

Answer:

[tex] \textrm {221 in year 4} \\ \textrm{59027 in year 9}[/tex]

Step-by-step explanation:

we are given a function

[tex] \displaystyle f(x) = {3}^{x + 1} - 22[/tex]

where x represents the years f(x) represents the amount of rainfall

so to figure out the amount of rainfall in year 4 we can substitute 4 for x

[tex] \displaystyle f(4) = {3}^{4+ 1} - 22[/tex]

simplify addition:

[tex] \displaystyle f(4) = {3}^{5} - 22[/tex]

simplify square:

[tex] \displaystyle f(4) = 243- 22[/tex]

simplify substraction:

[tex] \displaystyle f(4) = 221[/tex]

likewise In the year 9

[tex] \displaystyle f(9) = {3}^{9 + 1} - 22[/tex]

simplify addition:

[tex] \displaystyle f(9) = {3}^{10} - 22[/tex]

simplify square:

[tex] \displaystyle f(9) = 59049 - 22[/tex]

simplify Substraction:

[tex] \displaystyle f(9) = 59027[/tex]

hence,

there was 221 and 59027 in year four and In year nine

Answer:

B. B and C

Step-by-step explanation:

I calculated it logically

Answer:

The answer would be a. G and C.

Step-by-step explanation:

When calculating G/C, 329/261.6= 1.49847 rounded.

We are looking for the closest integer ratio to that number which is 3 to 2. A 3/2 ratio =1.5 which is as close to 1.49847 as you are going to get with a ratio. Hope this helps!

Answer:

I think the answer is C

Step-by-step explanation:

I hope this helps

The children are there in each family in my neighborhood.

We have given that the question is a statistical question

We have to determine the correct question in statistical data.

A statistical question is a question that can be answered by collecting data that vary.

Therefore, The children are there in each family in my neighborhood.

Therefore option C is correct.

To learn more about the statistical question visit:

https://brainly.com/question/12150562

SPJ2

Answer:

A = $45948

Step-by-step explanation:

Given the following data;

Principal = $8000

Interest rate = 6% = 6/100 = 0.06

Time = 30 years

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{100})^{t}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 8000(1 + \frac{6}{100})^{30}[/tex]

[tex] A = 8000(1 + 0.06)^{30}[/tex]

[tex] A = 8000(1.06)^{30}[/tex]

[tex] A = 8000(5.7435)[/tex]

A = $45948

Answer:

Area = 17.5yd

Step-by-step explanation:

Area formula is Area = h * b/2

Area = 5 * 7/2

Area = 17.5

Answer:

is this area or volume? if it's Area 1/2 b*h

Answer:

I think is B

Step-by-step explanation:

Answer:

the range is 47!

Step-by-step explanation:

to find the range of a set of numbers, first put the numbers in order from smallest to largest (which is already done) and simply subtract the smallest number from the biggest one!

the smallest being 45 and the highest is 92 in this case! hope this helps

It should be A. The distance between Jupiter and Earth is Greater than the distance between Mercury and Earth.

Answer:

Step-by-step explanation:

4 - 2x - 8x > -6x - 16

4 - 10x > -6x - 16

4 - 4x > -16

-4x > -20

x < 5