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3 years ago

Determine if the following event is mutually exclusive:

Mathematics

1 answer:

sp2606 [1]3 years ago

6 0

Answer:

Ask yourself: "Can I roll a prime number and an odd number at the same time?"

Since the answer is "yes it is possible" (eg: rolling a 3), this means the two events are not mutually exclusive. Mutually exclusive events have nothing in common.

In terms of a venn diagram, mutually exclusive events have no overlapping shared region.Step-by-step explanation:

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Use the given values of n and p to find the minimum usual value μ−2σ and the maximum usual value μ+2σ. Round to the nearest hund

lbvjy [14]

Answer:

μ−2σ = 1,089.26

μ+2σ = 1,097.62

Step-by-step explanation:

The standard deviation of a sample of size 'n' and proportion 'p' is:

$\sigma=\sqrt{\frac{p*(1-p)}{n} }$

If n=1139 and p =0.96, the standard deviation is:

$\sigma=\sqrt{\frac{p*(1-p)}{n}}\\\sigma = 0.001836$

The minimum and maximum usual values are:

$\mu-2\sigma = (p-2\sigma)*n\\\mu+2\sigma = (p+2\sigma)*n$

$\mu-2\sigma = (0.96-2*0.001836)*1139\\\mu-2\sigma = 1,089.26\\\mu+2\sigma = (0.96+2*0.001836)*1139\\\mu+2\sigma = 1,097.62$

5 0

3 years ago

Mai's mother was 28 when Mai was born. Mai is now 12 years old. In how many years will Mai's mother be twice Mai's Age

noname [10]

Answer:

Step-by-step explanation:

Let x = the number of years

In x years, Mai's mother's age will be: 28 + x

and Mai's age will be: 12 + x

Then, 28 + x = 2(12 + x)

Distribute the 2 28 + x = 24 + 2x

Subtract 24 from each side 4 + x = 2x

Subtract x from each side x = 4

In four years, Mai's mother will be twice Mai's age.

<em>Check: </em>

28 + 4 = 2(12 + 4)

32 = 2 × 16

32 = 32

6 0

3 years ago

You charge people $10 per hour to pick fruits and $8 per hour

Aleks04 [339]

Fruits :
Y=10(h)

Flowers;
Y=8(h)

Given: h=6

Fruits:
10(6) = $60

Flowers:
8(6)= $48

Back to the question, how much more from picking fruits?

$60 - $48 = $12 more picking fruits.

Hope this helps!

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3 years ago

If 1 gallon of paint covers 360 sq ft, how many gallons will be needed to cover 2650 sq ft with 2 coats. Round to the next whole

KonstantinChe [14]

Answer:

15 gallons

Step-by-step explanation:

6 0

3 years ago

Pythagoras question plz help

motikmotik

From the two right triangles, you can write the following equations using the Pythagorean theorem. Let's call that shared leg in the middle "y"

y^2 + b^2 = a^2
y^2 + c^2 = x^2

y^2 + b^2 = a^2
re-write this to get "y" alone for substitution.
y^2 = a^2 - b^2
substitute (a^2 - b^2) for y^2 in the other equation. y^2 + c^2 = x^2

a^2 - b^2 + c^2 = x^2

Now put in the values given for a,b,c to solve for x

(7.1)^2 - (5.6)^2 + (5.7)^2 = x^2
51.54 = x^2
square root
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6 0

3 years ago