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Ilya [14]
3 years ago
10

James is in charge of the decorations. He has a total budget of $50 to spend for all of the decorations. James spends $20 on one

banner and would like to buy balloons that cost $2 each with the rest of the money .
Write an equation to represent the situation


A. 2x+50=20

B. 2x+20=50

C. X+20=50

D. 2x+70=50

Part b

How many balloons can James buy
Mathematics
1 answer:
Gre4nikov [31]3 years ago
3 0
B. Is the correct answer. For part B, he can buy 15 balloons since X=15. Plug this back into the equation to check: 2(15)+20=50.
2(15)=30+20=50.
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The coefficient is 1
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What is the general term equation, an, for the arithmetic sequence 5, 1, −3, −7, . . . , and what is the 21st term of this seque
coldgirl [10]
The common difference, d, can be determined by subtracting the two consecutive values:

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The answer is letter D. I hope I was able to help you. Have a good day!
8 0
3 years ago
Two sisters, sister A and sister B, play SCRABBLE with each other every evening. Sister A is a statistician, and she draws a ran
snow_tiger [21]

Answer:

First question: LCL = 522, UCL = 1000.5

Second question: A sample size no smaller than 418 is needed.

Step-by-step explanation:

First question:

Lower bound:

0.36 of 1450. So

0.36*1450 = 522

Upper bound:

0.69 of 1450. So

0.69*1450 = 1000.5

LCL = 522, UCL = 1000.5

Second question:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

The project manager believes that p will turn out to be approximately 0.11.

This means that \pi = 0.11

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The project manager wants to estimate the proportion to within 0.03

This means that the sample size needed is given by n, and n is found when M = 0.03. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.11*0.89}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.11*0.89}

\sqrt{n} = \frac{1.96\sqrt{0.11*0.89}}{0.03}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.11*0.89}}{0.03})^2

n = 417.9

Rounding up

A sample size no smaller than 418 is needed.

6 0
3 years ago
Which number is irrational? A. Syntax error from line 1 column 53 to line 1 column 60. Unexpected '0'. B. 1 over 9 C. square roo
DerKrebs [107]
C. because the decimal is never ending, so it is irrational.
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Hii please please help i’ll give brainliest if you give a correct answer tyyyyy
bezimeni [28]

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

Answer:

40%

Step-by-step explanation:

6 apples out of 15 fruits = \frac{6}{15}

\frac{6}{15} is equivalent to \frac{2}{5}

\frac{2}{5} is equivalent to 40%

<em>So your answer is 40%</em>

<em />

I hope this helps!

- sincerelynini

7 0
3 years ago
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