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2 years ago

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Which of the following represents an arithmetic sequence? Group of answer choices -3, -7, -11, -15, -19, -23, ... 7, 11, 15, 19,

23, 28, ... 0, 3, 0, 6, 0, 9, ... 3, 6, 12, 24, 48, ...

1 answer:

Dima020 [189]2 years ago

8 0

Answer:— 3 -7. 4 -13. 5 -19.

Step-by-step explanation:

The solution is table B. In this table ... 7) Which recursive definition represents the sequence {4,6,8,10.

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The ratio of boys to girls in the ninth grade is 6:5. If there are 185 girls in the class, how many boys are there?

xeze [42]

Answer:

$222$ boys

Step-by-step explanation:

Let $x$ = total number of ninth graders. By knowing how many students there are in the grade, we can find for the number of boys.

$\frac{5}{6+5}x = 185$ (number of girls in ninth grade)

$\frac{5}{11}x = 185$

$x=407$

To find for the number of boys, we can use substitution:

$\frac{6}{6+5}x = \frac{6}{11}(407)$

$=222$

∴ There are $222$ boys in the class.

Hope this helps :)

8 0

3 years ago

Read 2 more answers

g A psychic was tested for extrasensory perception (ESP). The psychic was presented with cards face down and asked to determine

diamong [38]

Answer:

Step-by-step explanation:

Hello!

The objective is to test ESP, for this, a psychic was presented with cards face down and asked to determine if each of the cards was one of four symbols: a star, cross, circle, square.

Be X: number of times the psychic identifies the symbols on the cards correctly is a size n sample.

p the probability that the psychic identified the symbol on the cards correctly

You have to calculate the sample size n to estimate the proportion with a confidence level of 95% and a margin of error of d=0.01

The CI for the population proportion is constructed "sample proportion" ± "margin of error" Symbolically:

p' ± $Z_{1-\alpha /2} * (\sqrt{\frac{p'(1-p')}{n} } )$

Where $d= Z_{1-\alpha /2} * (\sqrt{\frac{p'(1-p')}{n} } )$ is the margin of error. As you can see, the formula contains the sample proportion (it is normally symbolized p-hat, in this explanation I'll continue to symbolize it p'), you have to do the following consideration:

Every time the psychic has to identify a card he can make two choices:

"Success" he identifies the card correctly

"Failure" he does not identify the card correctly

If we assume that each symbol has the same probability of being chosen at random P(star)=P(cross)=P(circle)=P(square)= 1/4= 0.25

Let's say, for example, that the card has the star symbol.

The probability of identifying it correctly will be P(success)= P(star)= 1/4= 0.25

And the probability of not identifying it correctly will be P(failure)= P(cross) + P(circle) + P(square)= 1/4 + 1/4 + 1/4= 3/4= 0.75

So for this experiment, we'll assume the "worst case scenario" and use p'= 1/4 as the estimated probability of the psychic identifying the symbol on the card correctly.

The value of Z will be $Z_{1-\alpha /2}= Z_{0.975}= 1.96$

Now using the formula you have to clear the sample size:

$d= Z_{1-\alpha /2} * (\sqrt{\frac{p'(1-p')}{n} } )$

$\frac{d}{Z_{1-\alpha /2}} = \sqrt{\frac{p'(1-p')}{n} }$

$(\frac{d}{Z_{1-\alpha /2}})^2 =\frac{p'(1-p')}{n}$

$n*(\frac{d}{Z_{1-\alpha /2}})^2 = p'(1-p')$

$n = p'(1-p')*(\frac{Z_{1-\alpha /2}}{d})^2$

$n = (0.25*0.75)*(\frac{1.96}{0.01})^2= 7203$

To estimate p with a margin of error of 0.01 and a 95% confidence level you have to take a sample of 7203 cards.

I hope this helps!

5 0

3 years ago

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Are these ratios equivalent?<br> 1 teacher to 9 students<br> 5 teachers to 45 students

IrinaVladis [17]

Answer: yes the ratios 1:9 and 5:45 are equivalent.

Step-by-step explanation:

1:9*5:5=5:45

U got any more math questions that I can answer? I’m really bored and I have to stay busy!

3 0

3 years ago

Joe plans to buy a pair of golf shoes. The original price of the pair Joe wants is $75, but they are now on sale for 20% off. Wh

nordsb [41]

Answer is D. $60.00 I believe

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3 years ago

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Who ever helps get branliest.

andrew11 [14]

Answer:

c ?

Step-by-step explanation:

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3 years ago

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