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EastWind [94]
3 years ago
13

In the morning Mary walked 2 1/4 miles around the park. In the afternoon she walked another 5 7/8. how many miles in total did s

he walk?
Mathematics
1 answer:
anygoal [31]3 years ago
7 0

Answer:

8 1/8 total miles walked.

Step-by-step explanation:

I like to make fractions simple so I would do this,

9/4 plus 47/8

Take 8 and your common denominator and solve.

18/8 plus 47/8 = 65/8 which can be put as 8 1/8.

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Question in picture please use the picture and write it down
UkoKoshka [18]

Answer:

Radius is 2.

2πr= 4π

r=4π/2π

r=2

5 0
3 years ago
I need help with the problem​
maxonik [38]

Answer:

Negative line

Step-by-step explanation:

Going up is positive (think in going uphill)

Going down is negative

6 0
2 years ago
A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yield
Leno4ka [110]

Answer:

0.762 = 76.2% probability that this shipment is accepted

Step-by-step explanation:

For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

17 randomly selected pens

This means that n = 17

(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)

This is P(X \leq 2) when p = 0.1. So

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{17,0}.(0.1)^{0}.(0.9)^{17} = 0.167

P(X = 1) = C_{17,1}.(0.1)^{1}.(0.9)^{16} = 0.315

P(X = 2) = C_{17,2}.(0.1)^{2}.(0.9)^{15} = 0.280

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.167 + 0.315 + 0.280 = 0.762

0.762 = 76.2% probability that this shipment is accepted

8 0
4 years ago
Write the equation in standard form for the circle with center (-7,0) and radius 3√3.
mario62 [17]

Answer: (x +7)^2 + y^2 = 27

Step-by-step explanation:

The standard form of a circle is written as such:

(x - h)^2 + (y - k)^2 = r^2

Where (h, k) is the center of the circle, and r is the radius.

We know that the center is (-7, 0), so we can plug that into the equation like this: (x +7)^2 + y^2 = r^2

The radius is 3 * the square root of 3. To square this, we can multiply 3 squared and the square root of 3 squared:

3^2 * \sqrt{3} ^2 = 9 * 3

So, your standard form equation is the following:

(x +7)^2 + y^2 = 27

6 0
3 years ago
Which is the better by 3 pounds for $8.31 or 5 pounds for $12.95 explain
sleet_krkn [62]
Do $8.31/3 and $12.95/5 and that will give you a price per pound and whichever is cheaper would be a better deal.
6 0
3 years ago
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