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nadezda [96]
2 years ago
6

Find the speed of a car in miles per hour, if its wheels, that have a diameter of 18 inches, travel at a rate of 10 revolutions

per second.
Mathematics
1 answer:
Svetllana [295]2 years ago
8 0

Answer:

Step-by-step explanation:

circumference=πd=π×18=18π in

distance covered in 1 sec=18π×10=180π in.

distance covered in 1 min=180π×60=10800π in

distance covered in 60 min=10800π×60=648000π in=648000π÷12=54000π ft

=54000π÷3=18000π yards=18000π÷1760≈32.13 miles per hour.

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Brandon works at a small petting zoo with 8 animals. He was looking at some data showing the masses of the animals. Each animal
insens350 [35]

Answer:

<em>OPtion B. Both the mean and median will increase, but the mean will increase by more than the median.</em>

<em />

Explanation:

You should not need to do calculations to determine <em>how buying the horse affects the mean and median.</em>

Without the horse, there are 8 animals. When the data are ordered, the <em>median</em> is the average of the 4th and the 5th weights: (7 + 27)/2.

With the horse, there are 9 animals. The median will be the 5th weight: 27

Then, the median increases from (7 +27)/2 to 27.

What about the <em>mean</em>?

The horse's weight is well beyond the weight of the other 8 animals. The range increases from 160 - 2 = 158 to 900 - 2 = 898.

Then, when you calculate the mean inlcuding the weigth of the horse, there will be a high increase.

Thus, without further calculations, you can conclude that "<em>B. Both the mean and median will increase, but the mean will increase by more than the median"</em>

7 0
3 years ago
Read 2 more answers
I need help with this what would k be? Or is she correct
charle [14.2K]

Answer:

The value of k=1

So, Maura claim is incorrect. The value of k=1 and not k=1/2

Step-by-step explanation:

We need to determine the value of k if 2^4=16^k

We are given:

2^4=16^k

Exponent rule, if bases are equal the exponents are equal

We can write 16= 2^4

2^4=(2^4)^k\\2^4=2^{4k}

Now since the base is same, i,e 2 so, the exponents will be same

4=4k\\k=1

So, the value of k=1

So, Maura claim is incorrect. The value of k=1 and not k=1/2

3 0
3 years ago
Police records in the town of Saratoga show that 17 percent of the drivers stopped for speeding have invalid licenses. If 24 dri
Ymorist [56]

Answer:

Step-by-step explanation:

Given

17 % of the drivers stopped have invalid licenses

n=24 drivers are stopped

using Binomial distribution

^nC_r(p)^r(q)^{n-r}

here p=0.17

q=1-0.17=0.83

(a)none will have valid license i.e. r=0

P(r=0)^{24}C_0(0.17)^0(0.83)^{24}=(0.83)^{24}=0.0114

(b)Exactly one have invalid license i.e. r=1

P(r=1)=^{24}C_1(0.17)^1(0.83)^{23}=24\times 0.17\times (0.83)^{23}

=0.0561

(c)At least 2 will have invalid license i.e. r\geq 2

P(r\geq 2)=1-P(r=0)-P(r=1)

P(r\geq 2)=1-0.0114-0.0561

P(r\geq 2)=0.932

3 0
3 years ago
What does ‘b” represent in y=mx+b
tigry1 [53]

Answer:

In the equation y = mx + b for a straight line, the. number b is called the y-intercept of the line.

Step-by-step explanation:

5 0
3 years ago
2(3w-5y) expanded <br>please ​
Snezhnost [94]
<h2><u>DISTRIBUTIVE PROPERTY</u></h2>

The distributive property indicates that multiplying a number by the sum of two addends is equal to multiplying each addend individually by the number and then adding the products together.

In general terms:

<h3>m(n + p) = mn + mp</h3>

‎      ‏‏‎

<u>In this exercise</u>:

Let's apply the distributive property:

\mathsf{2(3w - 5y)}

= \mathsf{2(3w) - 2(5y)}

= \boxed{\mathsf{6w - 10y}}

‎      ‏‏‎

<h3><u>Answer</u>: 6w - 10y</h3>

‎      ‏‏‎

7 0
3 years ago
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