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Romashka [77]
2 years ago
9

Juan examines the sequence 1, 3, 4, 7, 11, . . . and draws the conclusion that the next number in the sequence is 18. Which stat

ements regarding the situation are accurate? Check all that apply.
Juan used inductive reasoning.
Juan's conclusion is a conjecture.
Juan's conclusion is not possible.
Juan's conclusion is a counterexample.
Juan based his conclusion on patterns.
Mathematics
1 answer:
Vlada [557]2 years ago
4 0

Answer:

Juan conclusion is counterexample

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A card is drawn from the deck. What is the probability it is either black face card or a<br> spade?
IRINA_888 [86]

Answer:

about 37% chance or, rounding to the nearest tenth, 36.5% chance

Step-by-step explanation:

since there are only 6 black face cards out of 52 cards, so the fraction is 6/52

there are also 13 spade cards out of 52 cards, so the fraction is 13/52

to find the percent you have to add the two fractions becuase all you want to do is draw a black face card or a spade card. when you add them you get 19/52

then dividing the fraction gives you .3653846154 on my calculator :)

4 0
3 years ago
Plzzz help me on this math problem
Lostsunrise [7]
Hi there!

Amit's reasoning is incorrect because multiplying a positive number by a negative number results in a negative result. The question also says that it is a charge to his account, which means that money is being taken away. Therefore, Amit's reasoning is incorrect because the bank is taking away money from him and his equation results in a positive value, instead of negative.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
3 0
2 years ago
83. Use properties of exponents to rewrite each expression with only positive, rational exponents. Then find the numerical value
alexdok [17]

Answer:

2^{\frac{18}{11}}

Step-by-step explanation:

The given expression is

\sqrt[11]{y^2z^4}

The exponent property \sqrt[n]{x^ay^b}=x^{a/n}y^{b/n}

Applying this exponent property, we have

\sqrt[11]{y^2z^4}\\\\=y^{2/11}z^{4/11}

Now, the given numeric values are x = 9, y= 8, and z= 16

On substituting these values in the simplified expression, we get

(2)^{2/11}(16)^{4/11}

This can be further simplified by writing 16=2^4

(2)^{2/11}(2^4)^{4/11}\\\\(2)^{2/11}(2)^{16/11}

Now, applying the product rule of exponent: x^a\cdot x^b=x^{a+b}

(2)^{2/11+16/11}\\\\=2^{\frac{18}{11}}

4 0
3 years ago
4. Thoughtful Politicians [This problem setting is due to Prof. James Norris of Cambridge University.] In a group of 100 politic
kirill [66]

Answer:

Step-by-step explanation:

The focus is on Party 2, because as already said, Party 1 members NEVER change their minds on anything!

There are 60 politicians in Party 2. They change their minds completely-randomly every day.

Tomorrow, the politicians will vote on a proposition: Proposition 88, but today, 10 are in favor of it while 50 are against it.

Each member changes their mind based on the toss of a coin (a fair/unbiased coin; since it was not stated that the coin is biased). A fair coin has a 0.5 probability of landing HEADS and same 0.5 probability of landing TAILS.

What is the distribution of the number of members in Party II who will favor Prop 88 tomorrow?

The number of figures in the distribution will depend on the number of times the coin is tossed, between today and tomorrow.

<em>KEY: </em><em>Assuming the coin is tossed 12 times between today and tomorrow AND assuming that half of the time - 6 times - it landed HEADS and half of the time, TAILS (Head and Tail simultaneously).</em>

Beginning with HEADS, the distribution of the number of members who will favor the proposition tomorrow, is:

50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10

4 0
3 years ago
I need help with a math problem ASAP!!!
Goryan [66]
The answer is A. 90+x=114.
7 0
2 years ago
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