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Hatshy [7]
2 years ago
8

The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 395 grams and a standard deviati

on of 22 grams. Find the weight that corresponds to each event.
Mathematics
1 answer:
dusya [7]2 years ago
7 0

Answer:

?

Step-by-step explanation:

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In a​ study, 36​% of adults questioned reported that their health was excellent. A researcher wishes to study the health of peop
steposvetlana [31]

Answer:

0.3907

Step-by-step explanation:

We are given that 36​% of adults questioned reported that their health was excellent.

Probability of good health = 0.36

Among 11 adults randomly selected from this​ area, only 3 reported that their health was excellent.

Now we are supposed to find the probability that when 11 adults are randomly​ selected, 3 or fewer are in excellent health.

i.e. P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)

Formula :P(x=r)=^nC_r p^r q ^ {n-r}

p is the probability of success i.e. p = 0.36

q = probability of failure = 1- 0.36 = 0.64

n = 11

So, P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)

P(x\leq 3)=^{11}C_1 (0.36)^1 (0.64)^{11-1}+^{11}C_2 (0.36)^2 (0.64)^{11-2}+^{11}C_3 (0.36)^3 (0.64)^{11-3}

P(x\leq 3)=\frac{11!}{1!(11-1)!} (0.36)^1 (0.64)^{11-1}+\frac{11!}{2!(11-2)!}  (0.36)^2 (0.64)^{11-2}+\frac{11!}{3!(11-3)!} (0.36)^3 (0.64)^{11-3}

P(x\leq 3)=0.390748

Hence  the probability that when 11 adults are randomly​ selected, 3 or fewer are in excellent health is 0.3907

5 0
3 years ago
A school has a square courtyard and wants to create diagonal walkways. The length of each side
Nastasia [14]

Answer:

Approximately 51 Yards

Step-by-step explanation:

You can solve this by cutting the square in half to make a right triangle. Than, you can use the Pythagorean theorem to solve for the hypotenuse.

a^2+b^2=c^2

36^2+36^2=c^2

1296+1296=c^2

2592=c^2

50.9116

Round to the nearest whole number since the question says approximately: 51

3 0
3 years ago
Read 2 more answers
The sum of 5 times a number and -2, added to 8 times the number.
Shkiper50 [21]

Step-by-step explanation:

sum of 5 times a number and -2, + 8n

becomes:

5n + (-2) + 8n, or

5n -2 +8n, or. 13n - 2

3 0
2 years ago
Mason invested $65,000 in an account paying an interest rate of 4.6% compounded
Advocard [28]

Answer:

t≈17

Step-by-step explanation:

8 0
2 years ago
Graph the solutions of the inequality
Fiesta28 [93]

Answer:

The graph in the attached figure

Step-by-step explanation:

Graph the solution of the inequality

t\leq -4

we know that

The solution is the interval ---> (-∞,-4]

All real numbers less than or equal to -4

In a number line the solution is the shaded area at left of t=-4 (closed circle, because the number -4 is included in the solution))

using a graphing tool

The graph in the attached figure

6 0
3 years ago
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