The average adult gets 7.45 hours of sleep each night, with a standard deviation of 0.65 hours. A pharmaceutical company developing a sleep aid is researching how much sleep the top 1% of adults get each night, on average. Use a calculator to find how many hours of sleep must an adult get each night to be in the top 1% if the company is only basing their initial research on the sleep habits of 30 adults.

Answer:

  $85

Step-by-step explanation:

Let y represent Timmy's money after x weeks. If we assume that the only money Timmy has is what is mentioned in the problem statement, then ...

  y = 50 +5x . . . . . $50 initially plus $5 for each week

After 7 weeks, x = 7, so Timmy's fortune will be ...

  y = 50 +5(7) = 50 +35

  y = 85

Timmy will have $85 in 7 weeks.

Answer:

[tex]t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}[/tex]

And is distributed with n-2 degreed of freedom. df=n-2=12-2=10

The significance level is [tex]\alpha=0.01[/tex] and [tex]\alpha/2 = 0.005[/tex] and for this case we can find the critical values and we got:

[tex] t_{\alpha/2}= \pm  3.169[/tex]

Step-by-step explanation:

In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:

Null hypothesis: [tex]\rho =0[/tex]

Alternative hypothesis: [tex]\rho \neq 0[/tex]

The statistic to check the hypothesis is given by:

[tex]t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}[/tex]

And is distributed with n-2 degreed of freedom. df=n-2=12-2=10

The significance level is [tex]\alpha=0.01[/tex] and [tex]\alpha/2 = 0.005[/tex] and for this case we can find the critical values and we got:

[tex] t_{\alpha/2}= \pm  3.169[/tex]

Answer:

I want to say 9 but im preety sure it's 6

Step-by-step explanation:

you have 54 times to pick it

you have 9 marbles,

54 divided by 9= 6

answer is 6

hope this helped:))))

have a grate dayy

Answer:

1

this is because I see only one marble present which is orange

Answer: Option d.

Step-by-step explanation:

Ok, we have 3 urns.

Each urn can give a number between 0 and 9, so each urn has 10 options.

And as the urns are different, the outcome in the first urn does not affect the outcomes in the others, and the same happens for the outcome in the second urn, so the events are independent.

The total number of combinations is equal to the product of the number of options for each event (here each urn is one event)

then the number of combinations is:

C = 10*10*10 = 10^3 = 1000

Then the correct option is d.

Answer:

The range is 2.1

Step-by-step explanation:

7.7, 8.4, 9, 8, 6.9

Put the numbers in order from smallest to largest

6.9,7.7, 8,8.4, 9

The range is the largest number minus the smallest number

9 - 6.9

2.1

Answer:

The like terms are: [tex]a^{2}b,\ ab,\ \teaxt{and}\ a[/tex]

Step-by-step explanation:

The expression is:

[tex]-a^{2}b+6ab-8+5a^{2}b-6a-b-a^{2}b-6a-a^{2}b+5a^{2}b+6ab+5a^{2}b+6ab-6a[/tex]

Collect the like terms as follows:

[tex]-a^{2}b+6ab-8+5a^{2}b-6a-b-a^{2}b-6a-a^{2}b+5a^{2}b+6ab+5a^{2}b+6ab-6a[/tex]

[tex]=(-a^{2}b+5a^{2}b-a^{2}b-a^{2}b+5a^{2}b+5a^{2}b)+(6ab+6ab+6ab)-(6a-6a-6a)-b-8[/tex]

[tex]=12a^{2}b+18ab+18a-b-8[/tex]

Thus, the final expression is [tex]12a^{2}b+18ab+18a-b-8[/tex]

The like terms are: [tex]a^{2}b,\ ab,\ \teaxt{and}\ a[/tex].

Answer:

The CORRECT answer is B

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

we know if the arc measures 120, we know that its 1/3 of the circle, so ABC will also be 120

Answer:

therefore the left work of worker will be 6/7 part of work

Answer:

Step-by-step explanation:

Adding the two together 1212 + (99 - 1)

1310

1212/1310 = 606/655

Decimal: 0.9252

I'm always happy to help :)

Answer:

[tex]n=3\sqrt{2}[/tex]

Step-by-step explanation:

[tex]2n=1\times \left(3\sqrt{2}\right)\times \:2[/tex]

[tex]2n=2 \times 3\sqrt{2}[/tex]

[tex]2n=6\sqrt{2}[/tex]

[tex]\frac{2n}{2}=\frac{6\sqrt{2}}{2}[/tex]

[tex]n=3\sqrt{2}[/tex]

Answer:

n = 3√2

Step-by-step explanation:

=> [tex]1(3\sqrt{2} )2 = 2n\\6\sqrt{2} = 2n\\[/tex]

Dividing both sides by 2, we'll get

=> [tex]\frac{6\sqrt{2} }{2} = \frac{2n}{2}[/tex]

So,

=> n = [tex]3\sqrt{2}[/tex]

Answer:

[tex]y = 5x-15[/tex]

Step-by-step explanation:

Parallel ⇒ So the slopes will definitely be equal

So,

Slope = m = 5

Now,

Point = (x,y) = (4,5)

So, x = 4, y = 5

Putting these in the slope intercept form to get b

[tex]y = mx +b \\[/tex]

5 = (5)(4) + b

5 = 20 + b

b = -20+5

b = -15

So, Putting m and b in the slope intercept form to get the required equation,

[tex]y = 5x-15[/tex]

Answer: 7000

Step-by-step explanation:

Let the amount invested in 8% account be P1 and the amount invested in 6% account be P2

. If the total amount invested is $20,000 then:

P1+P2=20,000. (Eq. 1)

The interest earned in one year from the 8% account is:

I1=0.08P1

and the interest earned in one year from the 6% account is:

I2=0.06P2

If the total interest earned is $1460, then:

I1+I2=1460

0.08P1+0.06P2=1460

(Eq. 2) From Eq. 1 :

P1=20000−P2

Substituting this into Eq. 2:

0.08 (20000−P2) + 0.06P2 = 1460

1600 − 0.08P2 + 0.06P2 = 1460

0.02P2 = 140

P2 = 140 / 0.02

P2 = 7000

Hence, he invested $7000 at the rate of 6%.

Answer:

sorry about that that was my sister . the correct answer is yes

Step-by-step explanation:

please mark as brainliest

Answer:

[tex]\boxed{\sf \ \ \ age = 16 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

as the mean age of 5 people is 40

it means that the sum of the 5 ages is 40*5=200

now a person enters the room, let's note x his age

the new mean is

[tex]\dfrac{200+x}{6}=36[/tex]

[tex]<=>200+x=6*36=216\\<=> x = 216-200=16\\[/tex]

So the age of the new person is 16

hope this helps

Answer:

The probability that it will take fewer than six customer contacts to clear the inventory is 0.8%.

Step-by-step explanation:

We have a probability of making an individual sale of p=0.15.

We have 4 units, so the probability of clearing the inventory with n clients can be calculated as:

[tex]P=\dbinom{n}{4}p^4q^{n-4}=\dbinom{n}{4}0.15^4\cdot 0.85^{n-4}[/tex]

As we see in the equation, n has to be equal or big than 4.

In this problem we have to calculate the probability that less than 6 clients are needed to sell the 4 units.

This probability can be calculated adding the probability from n=4 to n=6:

[tex]P=\sum_{n=4}^6P(n)=\sum_{n=4}^6 \dbinom{n}{4}0.15^4^\cdot 0.85^{n-4}\\\\\\P=0.15^4(\dfrac{4!}{4!0!}\cdot 0.85^{4-4}+\dfrac{5!}{4!1!}\cdot0.85^{5-4}+\dfrac{6!}{4!2!}0.85^{6-4})\\\\\\P=0.15^4(1\cdot0.85^0+5\cdot0.85^1+15\cdot0.85^2)\\\\\\P=0.00051(1+4.25+10.84)\\\\\\P=0.00051\cdot16.09\\\\\\P=0.008[/tex]

Answer: There are systems with no solutions, and the graphs may show two regions with no intersections (as you know, the solution set is in the intersection of the sets of solutions for each inequality)

Step-by-step explanation:

Ok, suppose that our system is:

y > x

and

y < x.

This system obviously does not have any solution, because y can not be larger and smaller than x at the same time.

The graph of y > x is where we shade all the region above the line y = x (the line is not included)

and the graph of y < x is where we sade all the region under the line y = x (the line is not included)

So we will look at a graph where we never have a region with the two shades overlapping (so we do not have a intersection in the sets of solutions), meaning that we have no solutions.

Answer:

[tex]n=\frac{0.0875(1-0.0875)}{(\frac{0.02}{1.96})^2}=766.82[/tex]  

And rounded up we have that n=767

Step-by-step explanation:

We know the following info:

[tex] n=160[/tex] represent the sample size selected

[tex] x= 14[/tex] represent the number of defectives in the sample

[tex]\hat p= \frac{14}{160}= 0.0875[/tex] represent the estimated proportion of defectives

[tex] ME = 0.02[/tex] represent the margin of error desired

The margin of error for the proportion interval is given by this formula:  

[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]    (a)  

And on this case we have that [tex]ME =\pm 0.02[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex]   (b)  

The crtical value for a confidence level of 95% is [tex] z_{\alpha/2}=1.96[/tex]

And replacing into equation (b) the values from part a we got:

[tex]n=\frac{0.0875(1-0.0875)}{(\frac{0.02}{1.96})^2}=766.82[/tex]  

And rounded up we have that n=767

Answer:

m = 3

Step-by-step explanation:

It is given that there are two triangles [tex]\triangle[/tex]ABC and

[tex]\triangle[/tex]ABC ~

Also, the sides are:

AB= 3

BC= 4

DE= 2m

EF= m+5 and

∠B≅∠E

Please have a look at the attached figure for [tex]\triangle[/tex]ABC and

The triangles are similar so as per the property of similar triangles, the ratio of corresponding sides will be same.

i.e.

[tex]\dfrac{AB}{DE} = \dfrac{BC}{EF}\\\Rightarrow \dfrac{3}{2m} = \dfrac{4}{m+5}\\\Rightarrow 3 \times (m+5) = 4 \times 2m\\\Rightarrow 3m +15= 8m \\\Rightarrow 5m=15\\\Rightarrow m = 3[/tex]

So, value of m = 3.

Answer:

Step-by-step explanation:

Given that: 3(m∠1+m∠3) = m∠2+m∠4.

From the diagram:

Therefore:

3(m∠1+m∠1) = m∠2+m∠2

3(2m∠1)=2m∠2

Divide both sides by 2

3m∠1=m∠2

m∠1+m∠2=180 (Linear Postulate)

Therefore:

m∠1+3m∠1=180

4m∠1=180

Divide both sides by 4

m∠1=45 degrees

Since m∠1=m∠3

m∠3=45 degrees

Recall: m∠1+m∠2=180 (Linear Postulate)

45+m∠2=180

m∠2=180-45

m∠2=135 degrees

Since m∠2=m∠4

m∠4=135 degrees

Answer:

9 canvases

Step-by-step explanation:

To find the number of canvases Rogelio can buy, we just need to divide the value of the gift card by the value of each canvas. Then, if the result is decimal, we round down, because if we round up we will not have enough money to buy them all.

So we have that:

Number of canvases = 100 / 10.99

Number of canvases = 9.099

Rounding down, we can buy 9 canvases

Answer: D

Step-by-step explanation:

To express this number in scientific notation, we want to move the decimal so that it goes past the first nonzero integer. In this case, we would move it to the right 8 times.

6.7×10⁻⁸

The only reason why the 8 is negative is because when you write the scientific notation in standard form, you will need to move the decimal to the left in order to get 0.000000067. Negative means moving to the left. Therefore, 6.7×10⁻⁸ is our correct answer.

True.

Isometry is such transformation where the shape of observed body is not manipulated on itself but rather the position of it is manipulated.

Hope this helps.

Answer:

mark the other brainliest

Step-by-step explanation:

Answer:

[tex] {(6x+12) }^{2} \\

=36x^2+64x+144 [/tex]

Step-by-step explanation:

Thinked number

[tex]x[/tex]

Add 2

[tex]x + 2 \\ [/tex]

multiply it by 6

[tex]6(x+2) \\ [/tex]

square it

[tex] {(6x+12)}^{2} \\

= 36x^2+64x+144[/tex]

hope this helps

Answer:

36x^2 + 144x + 144

Step-by-step explanation:

Say the number youre think of is x

You do x + 2 as you're adding 2

Then you do x + 2 times 6 or 6 (x + 2) = 6x +12

6x + 12 squared = 36x ^ 2 + 144 x + 144

Answer:

a) 8.3 units of length

b) 31.6 units of length

Step-by-step explanation:

a) The distances traveled by each ball are given by:

[tex]d_1^2=100^2+10^2=10,100\\d_1=100.5\\\\d_2^2=90^2+(-20^2)=8,500\\d_2=92.2[/tex]

The diference between the distance traveled by both balls is:

[tex]d_1-d-2=100.5-92.2\\d_1-d_2=8.3[/tex]

The first ball traveled 8.3 units of length farther than the second ball.

b) The distance between both balls is:

[tex]d^2=(i_1-i_2)^2+(j_1-j_2)^2\\d^2=(100-90)^2+(10-(-20))^2\\d^2=1,000\\d=31.6[/tex]

The balls are 31.6 units of length apart.

Answer:

dependent and 1.26

Step-by-step explanation:

These two individual events are dependent on each other as first they draw it and then instant they eat two red candy pieces

Now the probability of the combined event is as follows

P(Probability of combined event)  is

[tex]= P(Event 1) \times P \frac{Event 2}{Event 1}[/tex]

[tex]= \frac{55}{49} \times \frac{54}{48}[/tex]

[tex]= 1.122 \times 1.125[/tex]

= 1.26

We simply applied the above formula so that we can get the dependency or independency plus the probability of the combined event

Answer: independent & .057

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex](x + y)0 \\ x = -3 \\y = 5\\(-3+5)0\\(2)0\\= 0[/tex]

Answer:

Minimum 08 adults / drivers

Maximum 10 adults / drivers

Step-by-step explanation:

Total students are 30

Each car can take total 5 incl. drive

There needs to be 7 cars taking the 30 students, which also means there have to be minimum 7 drivers / adults.

Min. passengers = 30 + 7

Of course, there will be space for 3 more in the 8th car since 5 x 8 = 40

Answer:

3^5

Step-by-step explanation:

becuase 3*3*3*3*3

Answer: 3^5 (3 to the power of 5)

Step-by-step explanation:

3 is multiplied by itself 5 times

To shorten the expression, exponential notation is used and it becomes 3^5, which essentially means three multiplied by itself 5 times

ex. 4^3 equals 4x4x4

Answer:

4/3 hours

Step-by-step explanation:

[tex]\frac{4*2}{6}\\=\frac{8}{6} \\= 4/3 hours[/tex]