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kramer
3 years ago
13

Two friends leave school at the same time Sarah is heading to do North and Beth is heading to West one hour later they are 5 mil

es apart if Sarah had traveled 4 miles from school how many miles had Beth traveled?
A) 1 mile
B)4 miles
C)3 miles
D)5 miles
Mathematics
1 answer:
svet-max [94.6K]3 years ago
7 0
5^-4^=25-16=9 root from 9 is 3 so it’s c) 3 miles
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Sam needs to drive 19 miles to work. So far, he has driven 3.7 miles. How many more miles must he drive?
larisa [96]

Step-by-step explanation:

19-3.7 = 15.3 miles

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7 0
3 years ago
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A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 19 randomly selected pens yield
Romashka [77]

Given Information:  

Probability of shipment accepted = p = 5%

Probability of shipment not accepted = q = 95%

Total number of pens = n = 19

Required Information:  

Probability of shipment being accepted with no more than 2 defective pens = P( x ≤ 2) = ?  

Answer:

P( x ≤ 2) = 0.933

Step-by-step explanation:

The given problem can be solved using Bernoulli distribution  which is given by

P(n, x) = nCx pˣqⁿ⁻ˣ  

The probability of no more than 2 defective pens means

P( x ≤ 2) = Probability of 0 defective pen + Probability of 1 defective pen + Probability of 2 defective pens

P( x ≤ 2) = P(0) + P(1) + P(2)

For P(0) we have p = 0.05, q = 0.95, n = 19 and x = 0

P(0) = 19C0(0.05)⁰(0.95)¹⁹

P(0) = (1)(1)(0.377)

P(0) = 0.377

For P(1) we have p = 0.05, q = 0.95, n = 19 and x = 1

P(1) = 19C1(0.05)¹(0.95)¹⁸

P(1) = (19)(0.05)(0.397)

P(1) = 0.377

For P(2) we have p = 0.05, q = 0.95, n = 19 and x = 2

P(2) = 19C2(0.05)²(0.95)¹⁷

P(2) = (171)(0.0025)(0.418)

P(2) = 0.179

Therefore, the required probability is

P( x ≤ 2) = P(0) + P(1) + P(2)

P( x ≤ 2) = 0.377 + 0.377 + 0.179

P( x ≤ 2) = 0.933

P( x ≤ 2) = 93.3%

Therefore, the probability that this shipment is accepted with no more than 2 defective pens is 0.933.

8 0
3 years ago
14 yd
son4ous [18]

Answer:

The volume is 196 cubic yards

Step-by-step explanation:

Given

Base\ Area = 7yd * 2yd

Height = 14yd

Required

The volume

The volume is given as:

Volume = Base\ Area * Height

Where:

Base\ Area = 7yd * 2yd

Height = 14yd

So, the equation becomes

Volume = 7yd * 2yd * 14yd

Volume = 196yd^3

6 0
2 years ago
An average response rate for a marketing letter is 4%, meaning that 4% of the people who receive the letter respond to it. A com
kherson [118]

\frac{65}{2400}  \times 100\% \\  = 2.71\%

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5( x + 9)<br> What is the answer to that
emmasim [6.3K]

Answer:

5x + 45

Step-by-step explanation:

distribute 5 to both x and 9 so multiply them both

7 0
2 years ago
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