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lana [24]
3 years ago
6

Which number is a prime number? 161. 151. 141. 171.

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
3 0
I think the answer is 151.
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Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally
storchak [24]

Answer:

a) 0.1587

b) 0.0475

c) 0.7938

Step-by-step explanation:

Let's start defining our random variable.

X : ''Thickness (in mm) of ancient prehistoric Native American pot shards discovered in a Hopi village''

X is modeled as a normal random variable.

X ~ N(μ,σ)

Where μ is the mean and σ is the standard deviation.

To calculate all the probabilities, we are going to normalize the random variable X.

We are going to call to the standard normal distribution ''Z''.

[(X - μ) / σ] ≅ Z

We normalize by subtracting the mean to X and then dividing by standard deviation.

We can find the values of probabilities for Z in a standard normal distribution table.

We are going to call Φ(A) to the normal standard cumulative distribution evaluated in a value ''A''

a)

P(X

P(ZΦ(-1) = 0.1587

b)

P(X>7)=P(\frac{X-4.5}{1.5}>\frac{7-4.5}{1.5})

P(Z>1.666)=1-P(Z\leq 1.666)=

1 - Φ(1.666) = 1 - 0.9525 = 0.0475

c)

P(3

P(-1 Φ(1.666) - Φ(-1) = 0.9525 - 0.1587 = 0.7938

8 0
3 years ago
This graph shows the costs of purchasing two types of laundry detergent.
Neko [114]
B) Detergent B is less expensive than Detergent A 
6 0
3 years ago
Read 2 more answers
Biking at 12 mph, it takes Kristen hour to reach the train station to go to work. Kristen then takes the train to work, and it t
LenKa [72]

Answer:

d = 19 mi

Step-by-step explanation:

Total dist = bike dist + train dist

d = 12(.5) + 20(.5)

d = 6 + 13

d = 19 mi

4 0
3 years ago
Can someone answer 6???
sergeinik [125]

Answer:

c

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
One number is 7 times another number. The product of the two numbers is 252. Find the two numbers.
Nitella [24]

Step-by-step explanation:

x =7y ----(1)

xy=252 ----(2)

(1) into (2):

(7y)(y) = 252

7 {y}^{2}  = 252 \\ 7y =  \sqrt{252}

7y=15.874....

y=2.27

y value into (1)

x= 7(2.268)

x=15.87

the two numbers are 15.87 and 2.27 (Ans)

6 0
3 years ago
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