Answer:
(14a+3, 21+4) = 1
Step-by-step explanation:
We are going to use the Euclidean Algorithm to prove that these two integers have a gcd of 1.
gcd (14a + 3, 21a + 4) = gcd (14a+3, 7a + 1) = gcd (1, 7a+1) = 1
Therefore,
(14a + 3, 21a + 4) = 1
A test battery contains the following three items: distance runs, skinfolds, and trunk extension. The test battery measure is health-related physical fitness.
Traditionally, the phrase "battery" turned into used to describe a "series of similar items grouped collectively to perform a feature," as in a battery of artillery. In 1749, Benjamin Franklin first used the term to explain a chain of capacitors he had related together for his strength experiments.
Batteries and comparable devices receive, save, and launch power on call. Batteries use chemistry, in the form of chemical capability, to save electricity, similar to many different normal electricity sources. for example, logs keep electricity in their chemical bonds till burning converts the electricity to heat.
The average alkaline AAA, AA, C, D, 9-volt or button-cellular battery is made of metal and a combination of zinc/manganese/potassium/graphite, with the ultimate balance, made up of paper and plastic. Being non-poisonous substances, all of those battery “substances” are effortlessly recyclable.
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Answer:
[0, 7]
Step-by-step explanation:
We want the height to be greater than or equal to 32 ft, so ...
704 +16t -16t^2 ≥ 32
t^2 -t -42 ≤ 0 . . . . . . . . . . . subtract 32, divide by -16
(t -7)(t +6) ≤ 0
This inequality will be true for values of t between -6 and +7. Since we're only concerned with times t ≥ 0, the appropriate solution interval is ...
0 ≤ t ≤ 7 . . . . [0, 7] in interval notation
Answer:
Step-by-step explanation:
Minimum height=30
Maximum height=38
Write an absolute value equation:
Center: 34
Distance: 4
Equation: |x-34|=4
Answer:
No. See explanation below.
Step-by-step explanation:
Since the cards are being selected <u>without replacement,</u> every time we select a card, <u>the probability varies</u> (since there is one less card) and therefore, the probability doesn't remain the same for every trial and therefore, the probability of success changes for every trial.
It is because of this that this probability experiment doesn't represent a binomial experiment.