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Ghella [55]
2 years ago
13

Jon noeds 1/3 cup of

Mathematics
1 answer:
Alex_Xolod [135]2 years ago
5 0

Answer: 1 1/12

Step-by-step explanation:

1/3 + 3/4 =

1/3 x 4= 4/12

3/4 x 3 = 9/12

9/12 + 4/12 = 13/12 = 1 1/12

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Emergency 911 calls to a small municipality in Idaho come in at the rate of one every two minutes. Assume that the number of 911
nordsb [41]

Answer: a) 30, b) 0.2138, c) 0.0820

Step-by-step explanation:

Since we have given that

X be the number of calls in 1 hour = 60 minutes

Rate of one call every two minutes.

\lambda=\dfrac{1}{2}

(a) What is the expected number of 911 calls in one hour?

\lambda=\dfrac{1}{2}\times 60=30

(b) What is the probability of three 911 calls in five minutes? If required, round your answer to four decimal places.

\lambda=\dfrac{1}{2}\times 5=2.5

Number of calls = 3

So, P(X=3) is given by

P(X=3)=\dfrac{e^{-\lambda}\lambda^x}{x!}\\\\P(X=3)=\dfrac{e^{-2.5}\times (2.5)^3}{3!}\\\\P(X=3)=0.2138

(c) What is the probability of no 911 calls during a five-minute period? If required, round your answer to four decimal places.

P(X=0)=\dfrac{e^{-2.5}(2.5)^0}{0!}=0.0820

Hence, a) 30, b) 0.2138, c) 0.0820

4 0
3 years ago
What is the equation in point-slope form of the line that passes through the points (7, 5)(7, 5) and (−4, −1)(−4, −1) ? y+4=116(
Alex Ar [27]
(7,5)(-4,-1)
slope = (-1-5) / (-4-7) = -6/-11 = 6/11

y - y1 = m(x - x1)
slope(m) = 6/11
(-4,-1)...x1 = -4 and y1 = -1
now we sub...pay close attention to ur signs
y - (-1) = 6/11(x - (-4) ...not done yet...
y + 1 = 6/11(x + 4) <===
6 0
2 years ago
Read 2 more answers
When you convert 100 ft per second to inches per second, will there be more or less than 100 inches.Explain
Serga [27]

There are 12 inches in a feet, so there are 1200 inches. 1200 inches is more than 100 inches, so there is more.


6 0
3 years ago
The diagram shows a periscope used to see objects that are behind or under a barrier. What makes it possible to see an object wh
Sophie [7]

Answer: A. contains mirrors that reflect the object

Step-by-step explanation:

A periscope contains mirrors in it that are on opposite sides and are arranged in a 45° angle to each other. It works by light striking the first mirror which cause its to reflect it at a 45° angle to the next mirror.

Depending on the length of the periscope, this continues until the last mirror reflects the incoming light to the eyes of the person using the periscope thereby allowing them to see objects hidden behind or under a barrier.  

4 0
3 years ago
Help me plz i wnt help plz i want help
Bas_tet [7]

Answer:

C)28in

Step-by-step explanation:

To get the area of this face, we will divide it into 3 sections.

Area of the 1st section:

Given:

l=4in

w=2in

Formula:

a=l*w

Solution:

a=l*w

a=8in^2

Area of the 2nd section:

Given:

l=2in

w=2in

Formula:

a=l*w

Solution:

a=l*w

a=2in*2in

a=4in^2

Area of the 3rd section:

l=8in

w=2in

Formula:

a=l*w

Solution:

a=l*w

a=8in*2in

a=16in^2

a1+a2+a3=Area of the face

8in^2+4in^2+16in^2=28in^2

Hope this helps ;) ❤❤❤

3 0
3 years ago
Read 2 more answers
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