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rewona [7]
3 years ago
11

The mathematics department of a college has 10 male​ professors, 12 female​ professors, 12 male teaching​ assistants, and 15 fem

ale teaching assistants. if a person is selected at random from the​ group, find the probability that the selected person is a professor or a male.
Mathematics
1 answer:
lana [24]3 years ago
3 0

We need the total count of persons = 10+12+12+15 = 49 persons

We need the count of the target group, female or teaching assistants

= (10+12) professors + 12 male teaching assistants

= 22+12

= 34 persons

Assuming equal probability of choosing anyone from the 30 persons, the

probability of choosing a professor or a male

= 34/49

(For probability calculations, try to keep a fraction for as long as you can, because fractions are exact. Decimal are frequently approximate, for example in this case, 34/49=0.693877551020...... = 0.694 approximately)

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AleksandrR [38]

Answer:

a = 145

b = 35

c = 145

d = 70

e = 70

f = 110

g = 55

h = 125

i = 55

j = 50

k = 70

l =110

m = 50

n = 60

o = 70

p = 23

q = 89

r = 68

s = 157

t = 112

u = 48

v = 132

w = 132

x = 48

y = 48

z = 132

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B = 94

C = 86

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F = 133

Step-by-step explanation:

I'm fairly certain these are all correct... like 82% sure

3 0
3 years ago
Solve the given initial-value problem. the de is of the form dy dx = f(ax + by + c), which is given in (5) of section 2.5. dy dx
shutvik [7]

\dfrac{\mathrm dy}{\mathrm dx}=\cos(x+y)

Let v=x+y, so that \dfrac{\mathrm dv}{\mathrm dx}-1=\dfrac{\mathrm dy}{\mathrm dx}:

\dfrac{\mathrm dv}{\mathrm dx}=\cos v+1

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\dfrac{\mathrm dv}{1+\cos v}=\mathrm dx

Integrating both sides gives

\displaystyle\int\frac{\mathrm dv}{1+\cos v}=\int\mathrm dx

For the integral on the left, rewrite the integrand as

\dfrac1{1+\cos v}\cdot\dfrac{1-\cos v}{1-\cos v}=\dfrac{1-\cos v}{1-\cos^2v}=\csc^2v-\csc v\cot v

Then

\displaystyle\int\frac{\mathrm dv}{1+\cos v}=-\cot v+\csc v+C

and so

\csc v-\cot v=x+C

\csc(x+y)-\cot(x+y)=x+C

Given that y(0)=\dfrac\pi2, we find

\csc\left(0+\dfrac\pi2\right)-\cot\left(0+\dfrac\pi2\right)=0+C\implies C=1

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5 0
3 years ago
Jimmy collects nickels and dimes. Right now, he has a total of 40 coins in his piggy bank. If there are seven times as many dime
Colt1911 [192]
Number of nickels plus number of dimes equals total number of coins
so
n + d = 40

then they tell us that "there are seven times as many dimes as there are nickels"
this translates to
d = 7n

we then plug that into our first equation
and get
n + 7n = 40

then we solve for n
add like terms
8n = 40

then divide both sides by 8
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4 0
3 years ago
What’s 34.5 divided by 10.0
11111nata11111 [884]
When dividing by a multiple of 10, depending on if it's greater than 0, The decimal place would move. In this case, the decimal place in 34.5 would move more to the left making the answer 3.45.
6 0
3 years ago
Pls help me calculate the total area of compound shapes?!?!?
Elza [17]

Answer:

Left: 42ft^2

Right: 21ft^2

Step-by-step explanation:

Its the same question as last time.

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Right: (3*5) + (2*3) = 21

4 0
2 years ago
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