There are seven black socks, eight blue socks, 10 white socks, and five patterned socks in the drawer. What is the probability of pulling a blue sock, replacing it, and then drawing a patterned sock out of the drawer?

Answer:

x^2 +8x+12

Step-by-step explanation:

The area of the blue is

x*x = x^2

The area of the pink is

x*6 = 6x

The area of the green is

x*2 = 2x

The area of the orange is 2*6 =12

Add them together

x^2 + 6x+2x +12

Combine like terms

x^2 +8x+12

Answer:

See explanation below.

Step-by-step explanation:

To make use of the tools they give you, start at the point (-5, -2) which you know is a point the line goes through, then draw a line that goes towards the right following the rule given by the slope "1/2" (rise/run) which means that every 2 units to the right, you go one unit up. so from the point -5 in x, you go to the point -3 in x, and from -2 in y you move up one unit to -1

Therefore the line joins (-5, -2) to the point (-3, -1)

Answer:

(a) Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] [tex]\leq[/tex] 41  

    Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 41

(b) The value of z test statistics is 1.08.

(c) We conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

Step-by-step explanation:

We are given that in a random sample of 40 such periods from Spanish colonial times, the sample mean is x¯ = 47.0. Previous studies of sunspot activity during this period indicate that σ = 35.

It is thought that for thousands of years, the mean number of sunspots per 4-week period was about µ = 41.

Let [tex]\mu[/tex] = mean sunspot activity during the Spanish colonial period.

(a) Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] [tex]\leq[/tex] 41     {means that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 41     {means that the mean sunspot activity during the Spanish colonial period was higher than 41}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

                            T.S. =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean = 47

            σ = population standard deviation = 35

            n = sample of periods from Spanish colonial times = 40

So, the test statistics  =  [tex]\frac{47-41}{\frac{35}{\sqrt{40} } }[/tex]

                                      =  1.08

(b) The value of z test statistics is 1.08.

(c) Now, the P-value of the test statistics is given by;

                P-value = P(Z > 1.08) = 1 - P(Z < 1.08)

                              = 1 - 0.8599 = 0.1401

Since, the P-value of the test statistics is higher than the level of significance as 0.1401 > 0.05, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

Answer:

6/5

Step-by-step explanation:

slope: (y1-y2)/(x1-x2)

(11-(-1))/(5-(-5))= 12/10 = 6/5

Answer:

0.5401

Step-by-step explanation:

In Standard form

due to the negativity of the power, you move the decimal point to the left...and u move it once

Answer:

A = 13.0

Step-by-step explanation:

In the attached file

Answer:

50

Step-by-step explanation:

[tex]p - 20 = 30 \\ adding \: 20 \: both \: sides \\ p - 20 + 20 = 30 + 20 \\ p = 50[/tex]

Answer:

50

Step-by-step explanation:

50-20=30

The square root of 10 is a number with the following property: when you square it, you get 10.

So, if we have [tex]a<\sqrt{10}<b[/tex], where [tex]a[/tex] and [tex]b[/tex] are positive integers, if we square the whole inequality we have

[tex]a^2<10<b^2[/tex]

Let's analyse option A for example. Given everything we said so far, we would have

[tex]1<\sqrt{10}<2 \iff 1^2<10<2^2 \iff 1<10<4[/tex]

which is false.

Option B is again false, because we would have

[tex]2<\sqrt{10}<3 \iff 2^2<10<3^2 \iff 4<10<9[/tex]

which is again false. Keep trying with options C and D following those same steps, and see which one is correct

Answer:

C

Step-by-step explanation:

√10=3.16

3.16 is between 3 and 4 hence C is the answer

Answer:

If it's a simple equation such as 2 (x + y), the next step after applying the distributive property is to do the multiplication and simplify the terms.

But in solving an equation such as

2(x + 3) = 3(x + 1)

After applying the distributive property, the next step is to separate the variables to one side, like collecting like terms and then solving the now simplified equation.

Step-by-step explanation:

For a normal equation, the distributive property, also called the distributive law of division and multiplication helps to use the variable outside the bracket to multiply the sum of terms in the bracket. For example.

2 (x + y)

The distributive property enables us to say

2×x + 2×y = 2x + 2y

So, the next step after applying the distributive property is to simplify the equation.

But in solving an equation such as

2(x + 3) = 3(x + 1)

Applying the distributive property

2x + 6 = 3x + 3

We then operate variables, collect like terms on one side

6 - 3 = 3x - 2x

3 = x

x = 3

Hope this Helps!!!

Answer:

-102 + (-25.5)

Step-by-step explanation:

Answer: 14.2638366937

Step-by-step explanation:

A geometric sequence is a sequence in which each term is multiplied by a number, called the common ratio, to get the next term.

So, if the first term of the geometric sequence is 10 and the common ratio is 0.3, the sequence would be 10, 0.3(10), 0.3 x 0.3 x 10... and so forth. This becomes:

10, 3, 0.9, 0.27, 0.081, 0.00243, 0.00729, 0.002187, 0.0006561, 0.00019683, 0.000059049, 0.0000177147...

You add these first 12 terms to get 14.2638366937.

Answer:

[tex]\cos{\theta} = \frac{\sqrt{15}}{4}[/tex]

Step-by-step explanation:

For any angle [tex]\theta[/tex], we have that:

[tex](\sin{\theta})^{2} + (\cos{\theta})^{2} = 1[/tex]

Quadrant:

[tex]0 \leq \theta \leq \frac{\pi}{2}[/tex] means that [tex]\theta[/tex] is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

[tex](\sin{\theta})^{2} + (\cos{\theta})^{2} = 1[/tex]

[tex](\frac{1}{4})^{2} + (\cos{\theta})^{2} = 1[/tex]

[tex]\frac{1}{16} + (\cos{\theta})^{2} = 1[/tex]

[tex](\cos{\theta})^{2} = 1 - \frac{1}{16}[/tex]

[tex](\cos{\theta})^{2} = \frac{16-1}{16}[/tex]

[tex](\cos{\theta})^{2} = \frac{15}{16}[/tex]

[tex]\cos{\theta} = \pm \sqrt{\frac{15}{16}}[/tex]

Since the angle is in the first quadrant, the cosine is positive.

[tex]\cos{\theta} = \frac{\sqrt{15}}{4}[/tex]

Answer:

b.[tex]\frac{\sqrt{15} }{4}[/tex]

Step-by-step explanation:

Answer:

$65,000 , $50,000 and $35,000

Step-by-step explanation:

Lets us assume the CDs be C, stocks be S and Bonds be B

Given that

Total scholarship fund received = $150,000

i.e

C + S + B = $150,000 ......................... (1)

Now the each items invested percentage is given

And, the annual income from investment is $10,805

So, the next equation is

0.06C + 0.022B + 0.117S = $10,805 ....................... (2)

And, it is mentioned that

The $15,000 more in bonds than in CDs

B = C + $15,000 ........................ (3)

Now put the equation 3 in equation C is

2C + S = $135,000  ........................... (4)

0.082C + 0.117S = $10,475 ........................... (5)

Now multiply the 0.117S in equation 4

So

0.234C + 0.117S = $15,795

0.082C + 0.117S = $10,475

After solving this

0.152C = $5,320

C = CDS = $35,000

So

B = $35,000 + $15,000

B=   Bonds = $50,000

And S = Stock = $65,000

Answer:

CDs = 35000, Bonds = 50000, Stock = 65000

Step-by-step explanation:

Let amount invested in : CDs be 'C' , stock be 'S' , bonds be 'B'

As per total funds : C + B + S = 150000 [E1]

As per interest rates : 0.06C + 0.022B + 0.117S = 10805 [E2]

Given (15000 more invested in bonds than CDs :  B = C + 15000 [E3]

Putting equations : [E3] in [E2] & [E1]

C + (C+15000) + S = 150000 → 2C + 15000 + S = 150000

0.06C+0.022(C+15000)+0.117S = 10805 → 0.06C+0.022C+330+0.117S = 10805

By putting value of S from [E4] in [E5] :

0.082C + 0.117 (135000 - 2C) = 10475 → 0.082C + 15795 - 0.234C = 10475

5320 = 0.152C  → C = 5320 / 0.152 = 35000 [CDs]

B = C + 15000 = 35000 + 15000 = 50000 [Bonds]

By [E1]: 35000+50000+S = 150000 → S = 150000 - 85000 = 65000 [Stocks]

Answer:

The constant of proportionality is k

Step-by-step explanation:

Answer:

[tex] E(X)= 0*0.1 +1*0.3 +2*0.4 +3*0.2 [/tex]

And adding the values we got:

[tex] E(X) =0 +0.3 +0.8 +0.6 = 1.7[/tex]

So then the expected value for this random variable would be [tex] E(X) =1.7[/tex]

Step-by-step explanation:

For this case we have the following probability distribution given:

X       0     1      2     3

P(X)  0.1  0.3  0.4  0.2

And for this case the expected value with the following formula:

[tex] E(X) =\sum_{i=1}^n X_i P(X_i)[/tex]

And replacing we have:

[tex] E(X)= 0*0.1 +1*0.3 +2*0.4 +3*0.2 [/tex]

And adding the values we got:

[tex] E(X) =0 +0.3 +0.8 +0.6 = 1.7[/tex]

So then the expected value for this random variable would be [tex] E(X) =1.7[/tex]

Answer:

191cm^2

Step-by-step explanation:

Answer:

A) (-2,0) and (6,0)

B) (0,-12)

C) (2,-16)

Step-by-step explanation:

In the graph you see below, you can tell that the two x intercepts are at (-2,0) and (6,0), while the y intercept is at (0,-12). You can also see that the vertex is at (2,-16). Hope this helps!

The x intercept will be ( -2,0 ) and ( 6,0 ) , y intercept will be ( 0, -12 ) and vertex will be at ( 2 , -16 ).

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

Given the function,

f(x)=x²-4x-12

A) x-intercept;

For the x-intercept, the value of y or f(x) will be 0 so.

0 = x² -4x -12 ⇒ x = -2 , 6

So

x-intercept will be ( -2,0 ) and ( 6,0 ).

B) y-intercept

At the y-intercept the value of x will be 0 so

f(x) = -12

So

The y-intercept will be ( 0, -12 ).

C) Vertex

For vertex the slope will be 0 so

f'(x) = 0 ⇒ 2x - 4 = 0 ⇒ x = 2

The value of y at x = 2 will be

f(2) = -16

so

vertex will be at ( 2, -16 ).

For more about the function

brainly.com/question/23712366

#SPJ2

Answer:

its a captial of humans

Step-by-step explanation:

Answer: knowledge

Step-by-step explanation:

Human capital is a loose term that refers to knowledge, experience and skills of an employee. ... It states that companies have an incentive to seek productive human capital and to add to the human capital of their existing employees.

Answer:

To find the scale factor, locate two corresponding sides, one on each figure. Write the ratio of one length to the other to find the scale factor from one figure to the other.

Step-by-step explanation:

XYUV=123=4

The scale Factor is 4!

Answer:

Step-by-step explanation:

Make sure that all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

Answer:

Yellow corns = 84

White corns = 840

Step-by-step explanation:

We are given the following details:

Number of plants in each row = 42

Number of rows of yellow corn = 2

Number of rows of white corn = 20

To count the number of yellow corns planted, we can add the number 42, 2 number of times i.e.

42 + 42 = 84 .

OR

We can multiply 42 by 2 i.e. 42[tex]\times[/tex] 2 = 84

To count the number of white corns planted, we can add the number 42, 20 number of times i.e.

42 + 42+ 42+ 42+ 42 ..... + 42 (20 times ) .

OR

We can multiply 42 by 20 i.e. 42[tex]\times[/tex] 20 = 84

In other words, the formula can be seen as:

Number of corns of one type = Number of plants in a row [tex]\times[/tex] Number of rows of one type

So, number of white corns = 42 [tex]\times[/tex] 20 = 840

Hence, the answer is:

Yellow corns = 84

White corns = 840

Answer:

1.5

Step-by-step explanation:

5/8 + 7/8= 1.5 or 1  1/2

Answer:

Read below.

Step-by-step explanation:

First fridge: [tex]\frac{8}{8} -\frac{5}{8} =\frac{3}{8}[/tex]

Second fridge: [tex]\frac{8}{8} -\frac{1}{8} =\frac{7}{8}[/tex]

[tex]\frac{7}{8} +\frac{3}{8} = \frac{10}{8} = 1 \frac{2}{8}=1\frac{1}{4}[/tex]

Combined [tex]1 \frac{1}{4}[/tex] fridge space is left.

Answer:

the amount added to the cost price of goods to cover overhead and profit.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Meaning in my own words: The amount applied to the depreciation and production factor price of the product.

Example: Sells for $126 costs $100. Price is increase.

Synonyms for markup: increase, Profit

Hope this helps.

Answer:

Time Spent = 91.46 minutes

Step-by-step explanation:

Given

To Her Father's house

Distance = 164 miles

Time Taken = 2 hours

To Her Cousin's house

Distance = 125 miles

Required

Time Taken to get to her cousins house.

First, her average speed to her father's house needs to be calculated.

Speed is calculated as thus;

[tex]Speed = \frac{Distance}{Time}[/tex]

In this case, Distance = 164 miles and Time = 2 hours

Substitute these values;

[tex]Speed = \frac{164 miles}{2 hours}[/tex]

[tex]Speed = 82miles/hour[/tex]

It's stated in the question that; she maintains the same speed when going to her cousin's residence to spend the night;

Using the same formula for speed;

[tex]Speed = \frac{Distance}{Time}[/tex]

But in this case, Speed = 82 miles/hour and Distance = 125 miles

Substitute these values

[tex]82 = \frac{125}{Time}[/tex]

Multiply both sides by Time

[tex]82 * Time = \frac{125}{Time} * Time[/tex]

[tex]82 * Time = 125[/tex]

Divide both sides by 82

[tex]\frac{82 * Time}{82} = \frac{125}{82}[/tex]

[tex]Time = \frac{125}{82} hours[/tex]

To convert this time to minutes

If 1 hour = 60 minutes

Then,

[tex]\frac{125}{82} hours[/tex] is equivalent to [tex]\frac{125}{82} * 60 minutes[/tex]

Hence,

[tex]Time = \frac{125}{82} * 60 minutes[/tex]

[tex]Time = 91.463415 minutes[/tex]

[tex]Time = 91.46 minutes[/tex] (Approximated)

Hence, she spends 91.46 minutes to get to her cousin's place from her father's house

Answer:

We can replace the 'm' with the value of 'm' on the table to get the value of 't'.

Using the equation [tex]t=0.5m+15[/tex] from the first part of the question to complete the table:

[tex]t=0.5(5)+15\\\rightarrow 0.5*5 = 2.5\\t=2.5 + 15\\t=17.5[/tex]

[tex]t=0.5(15)+15\\\rightarrow 0.5 * 15 = 7.5\\t=7.5+15\\t=22.5[/tex]

Hope this helps.

Answer:

its A  bc   9 x 2 = 18 -2  =16

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

I think it’s 240

Step-by-step explanation:

Hope this helps

Answer:

approx. 11.18 ft.

Step-by-step explanation:

formula: d=√L²+W²+H²

d=√5²+6²+8²

5²+6²+8²=125

√125 ≈ 11.18 ft

d(diagonal)= 11.18ft

To find the total multiply the sale price by 1  + tax rate.

Total = 20 x 1.05

Total = $21.00

Answer:

  Exactly 85% of her income will go towards college savings and entertainment

Step-by-step explanation:

Kensie's college savings are 600/800×100% = 75% of her budget.

Kensie's cell phone bill is 80/800×100% = 10% of her budget.

Kensie's entertainment is 120/800×100% = 15% of her budget.

Her total of savings and entertainment is 75% +15% = 90% of her budget. Savings and entertainment do not total 85% of Kensie's budget.

Answer:

If you were to write that in an expression it would be 4m-7

Step-by-step explanation:

I think this is what you're looking for...hope it helps :)

Answer:

9

Step-by-step explanation:

First lets find g(2) because thats inside the f equation.

g(x) = 2x-x^3

g(2) = 2(2) - (2)^3

g(2) = 4 - 8

g(2) = - 4

So now we are finding

f(g(2)) => f(-4)

f(x) = x^2 - 7

f(-4) = (-4)^2 - 7

Remember, because the square is outside the parentheses due to us plugging in a value, it becomes positive

f(-4) = 16 - 7

f(-4) = 9