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Andreas93 [3]
2 years ago
7

A class consists of 99 women and 64 men. If a student is randomly selected, what is the probability that the student is a woman

Mathematics
1 answer:
lukranit [14]2 years ago
8 0

Answer:

\frac{99}{163}

Step-by-step explanation:

probability (P) is calculated as

P = (outcome desired ) ÷ ( total number of outcomes

total outcomes = 99 + 64 = 163

desired outcome = 99

P( a woman ) = \frac{99}{163}

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A small furniture company manufac- tures sofas and recliners. Each sofa requires 8 hours of labor and $180 in materials, while a
Bad White [126]

Answer:

30 and 20 respectively

Step-by-step explanation:

Let the number of sofas to be built be s and the number of recliners be r.

For the time part, we have the following equation:

8s + 6r = 340

For the money part:

180s + 105r = 6750

Now let’s solve these equations simultaneously.

Let’s change the form of the second equation:

180s + 17.5(6r) = 6750

From the first equation, 6r = 340 - 8s

Insert this into the third equation

180s + 17.5(340-8s) = 6750

180s + 5950 - 140s = 6750

40s = 6750 - 5950

40s = 800

s = 20

Substitute the value into the first equation

8(20) + 6r = 340

6r + 160 = 340

6r = 180

r = 30

4 0
3 years ago
Lacey has a 20% off coupon for Bed Bath and Beyond She wants to buy a beach towel priced at $15. If she uses her coupon what is
horsena [70]
10% of $15 = 15/10= 1.5
1.5 x 2= 3 = 20%
15-3=12
Therefore the towel will be $12 with a 20% of coupon
8 0
3 years ago
The long-distance calls made by the employees of a company are normally distributed with a mean of 6.3 minutes and a standard de
Sergio [31]

To solve this problem, we use the formula:

z = (x – u) / s

where z is the z score value which can be obtained from the tables, x is the sample value, u is the mean = 6.3 min, and s is the std dev = 2.2 min

 

at P value = 0.90, the z = 1.28, finding for x:

x = z s + u

x = 1.28 * 2.2 + 6.3

x = 9.116

 

at P value = 1.0, the z = 3.49, finding for x:

x = z s + u

x = 3.49 * 2.2 + 6.3

x = 13.978 ~ 14

 

Therefore the longest 10% calls last about 9.1 minutes to 14 minutes

3 0
3 years ago
Write the product (4 + i)(4 − i) in the form a + bi. A. 16 − i B. 16 − i2 C. 17 D. 8
bonufazy [111]

Answer:

A.16–i is correct.

Step-by-step explanation:

(4+i)(4–i). [(a+b)(a–b)=(a²–b²)]

(4²–i²)=16–i

I hope this answer is correct so please vote my answer

3 0
3 years ago
Can anyone please explain this to me??
gregori [183]

Answer:

its either def or fed

Step-by-step explanation:

6 0
3 years ago
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