Amanda runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?

Answer:

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. 16)n = 182, x = 135; 95 percent

✓ 16)n = 182, x = 135; 95 percent sample proportion: p-hat = 135/182 = 0.74 E = 1.96*sqrt[0.74*0.26/182] = 0.0637 95% CI: 0.74-0.0637 < p < …

The comparison is that:

4/3 is greater than 7/6 and 7/6 is less than 4/3

The fractions are given as:

4/3 and 7/6

See attachment for the number line that represents both fractions

From the number line. 4/3 is at the right of 7/6

This means that:

4/3 is greater than 7/6 and 7/6 is less than 4/3

Read more about number lines at:

https://brainly.com/question/10851163

Answer:

median-75

mode-70

range-40

mean-77

Step-by-step explanation:

Answer:

543

Step-by-step explanation:

Answer: [tex]40\sqrt{3}[/tex]

Step-by-step explanation:

30-60-90 triangle- leg opposite 30 is x, leg opposite 60 is [tex]x\sqrt{3}[/tex] and the hyp. is 2x

we need to figure out X

we also know that the leg opposite 60 is = 120

[tex]120=x\sqrt{3}[/tex]

square everything

[tex]14400=3x^{2}\\4800=x^{2} \\\sqrt{4800} =x\\\sqrt{1600*3} =x\\40\sqrt{3} =x[/tex]

Answer:

You are correct the tax would be that

Step-by-step explanation:

Answer:

y = x + 15

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.

Plug this value (1) into your standard point-slope equation of y = mx + b.

y = 1x + b or y = x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.

10 = (-5) + b

Simplify.

10 = -5 + b

Now, add 5 to both sides to isolate b.

15 = b

Plug this into your standard equation.

y = x + 15

This equation is perpendicular to your given equation (y = -x - 2) and contains point (-5, 10)

Hope this helps!

Answer:

156.00

Step-by-step explanation:take away 8% sales tax away from it

Answer:

14- 1/5

15- 9/20

16- 11/20

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Firstly, we will take a look at the equation and the options listed to choose from.

Secondly, we notice these options are reffering to rational and irrational numbers.

A rational number is a number that can be expressed in a ratio of 2 integers. (Form example whole numbers such as 1 (1/1), 2(2/1) 5(5/1, 10/2) and even decimals like 3.75 (375/100) or (750/200) etc.

As for irrational numbers, these can NOT be simplified between a ratio 2 integers. For example the question states 3 multiplied by the square root of 5. The square root of 5 is 2.2360679... multiplied by 3 we get 6.7082..... Numbers such as those can go on for infinity and can not be simplified as integers therefore they are irrational numbers.

.............................................................................................................

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.D is false because if the product is 6.708 it can not be the square root of 15 (3.872)

B. It is an irrational number because the product of the side lengths is [tex]3\sqrt{5}[/tex], an irrational number.

According to this question, we know the lengths of the two sides of the rectangle, the length of a side is an positive integer and the length of the other one is an positive irrational number. The area of the rectangle is the product of the two sides lengths mentioned above.

By algebra, we know that the product between an integer and an irrational number leads to other irrational number. Therefore, the area of the rectangle is represented by an irrational number.

[tex]A = (3)\cdot \sqrt{5}[/tex]

[tex]A = 3\sqrt{5}[/tex]

Hence, the right answer is B.

We kindly invite you to check this question on irrational numbers: https://brainly.com/question/528650

Answer:

x=65

Angle 1=65

Angle 2=115

Step-by-step explanation:

We know that angle 1 + angle 2 = 180. Writing it in terms of x, we get x + (x + 50)= 180. Then you have 2x+50=180. Subtracting 50 from both sides gives you 2x=130. Dividing both sides by 2, you get x=65. Angle 1 is 65 degrees. 180-65=115.

Answer:

ok if u say so

Step-by-step explanation:

The axis of symmetry goes through the x-value. 4. So your equation for your axis of symmetry is going to be x equals. 0 (undetermined)

- branliest will be appreciated

Thanks

Answer:

The answer is 40 Centimeters.

Step-by-step explanation:

This answer is correct since there are 4 rows of 10, creating the Rectangular prism.  i hope this helped!

Answer:

the third one

Step-by-step explanation:

Answer:

16x3= 48 so the answer is 48m^2

Answer:

None

Step-by-step explanation:

No solutions exist for the system of equations because the system is illogical: 3x+y=3x+y, but 18≠16.

Answer:

1944

Step-by-step explanation:

I used the pyramid formula and used 18 as the bases and heights since it’s a perfect triangular pyramid.

Answer:

tsc = 8*1*10 = $80

twc = 8*20*0.0667*12 = $128.06

tc = 80 + 128.06 = $208.06

Step-by-step explanation:

To find the total expected costs for an 8 hour period, first you must find the total service costs (tsc) and the total waiting costs (twc) as the two costs are what make up the total cost (tc).

Total service cost = (the number of channels)(cost per channel)

tsc = m*Cs

There is only 1 employee so the number of channels is 1.

The cost for this channel is $10 per hour, so 10 * 8 hours in the day.

Total waiting cost = (total time spent waiting by all arrivals)(cost of waiting)

twc = (number of arrivals)(average wait per arrival) Cw

The number arrivals is at the rate of 20 per hour.

The average wait per arrival was found as Wq previously.

                 Wq = 20/(30*(30-20)) = 0.0667 hours

The cost of waiting (Cw) is the $12 per hour multiplied by the 8 hour day.

Total Expected Cost for an 8 hour day is the sum of the total service cost plus the total waiting cost.

The first and the second sequence are arithmetic and geometric sequence, respectively

The first number in both sequences is 14

From the question, we have the following rules

Start = 7

Multiply by 2

Start = 8

Add = 2

So, the numbers in the sequence are:

Rule 1: 7, 14, 28, 56......

Rule 2: 8, 10, 12, 14, .....

By comparing the numbers in the sequence, we can see that the first number in both sequences is 14

Read more about sequence at:

https://brainly.com/question/6561461

Answer:

Step-by-step explanation:

273m

Answer:

Step-by-step explanation:

Here are summary statistics for randomly selected weights of newborn​ girls: n=250​, x_=32.9 ​hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a ​95% confidence level.

The confidence interval of mean

=32.9 ± 1.96 × 6.9/250

Confidence Interval = 32.9 ± 0.5382

Answer:

M is (-7,3)

N is (0,1)

I think p is (4,0) but the option isn’t there so I must’ve done something wrong though I can’t find what-

Answer:

D) r=5

Step-by-step explanation:

Any triangle formed with one side of the triangle being the diameter of the circle it’s inscribed in will be a right triangle.

6²+8²=c²

36+64=c²

100=c²

√100=c

c=10

So the diameter is 10.  That makes the radius 5.

Answer:

C 1/10 × 33

D 0.1 × 33

Hope that helps

Answer:

MAX: (8, 2)

too lazy to write out the solution, sorry.

Answer:

this is what i got -2(x-9)(-7) hope it helps

Step-by-step explanation:

Answer:

1/4 or 25%

Step-by-step explanation:

The probability for rolling an odd number is 50% or  [tex]\frac{1}{2}[/tex] because there are 3 odd numbers, (1, 3, 5) and 6 total outcomes (1, 2, 3, 4, 5, 6). [tex]\frac{3}{6} =\frac{1}{2}[/tex]

The probability for rolling two odd numbers in a row is

[tex]\frac{1}{2} *\frac{1}{2} =\frac{1}{4}[/tex]

So, the probability of rolling an odd number twice is 25% or  [tex]\frac{1}{4}[/tex].

Answer:

A sample of 139 should be taken.

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 Ztable as such z has a pvalue 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.

Population standard deviation of $3,000.

This means that [tex]\sigma = 3000[/tex]

How large a sample should be taken if the desired margin of error is $500?

A sample of n is needed.

n is found when M = 500. So

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

[tex]500 = 1.96\frac{3000}{\sqrt{n}}[/tex]

[tex]500\sqrt{n} = 1.96*3000[/tex]

Dividing both sides by 500

[tex]\sqrt{n} = 1.96*6[/tex]

[tex](\sqrt{n})^2 = (1.96*6)^2[/tex]

[tex]n = 138.3[/tex]

Rounding up:

A sample of 139 should be taken.

Answer:

C

Step-by-step explanation:

there are 4 of the exact same line going in 4 directions