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aleksklad [387]
3 years ago
12

Mr. Bobby plans to spend no more than $200 on pizza and soda for a party. Each pack of soda costs $5.00 and each pizza costs $8.

00. Which inequality could Mr. Bobby use to determine how many packs of soda, s, and how many pizzas, p, he can buy?
Mathematics
2 answers:
goldfiish [28.3K]3 years ago
4 0

Answer:

6yr

Step-by-step explanation:

7t

Debora [2.8K]3 years ago
4 0

Answer:

6y

Step-by-step explanation:

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Answer:

A=πr(r+h2+r2)

Step-by-step explanation:

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how many ways are there to win the jackpot? how many ways are there to match 5 of 6 numbers? how many ways are there to match 4
musickatia [10]

The number of ways to  match 5 of 6 numbers is 6 ways

The number of ways to  match 4 of 6 numbers is 15 ways

The number of ways to  match 3 of 6 numbers is 20 ways

To calculate number of ways to match 5 of 6 numbers we have to use to formula:

nCr =\frac{n!}{(n - r)! . r !}

6C5=\frac{6!}{(6-5)! . 5!}

6C5=\frac{6!}{(1)! . 5!}

6C5=\frac{6.5.4.3.2.1}{1.5.4.3.2.1}

6C5=\frac{6}{1}

6C5= 6 \ ways

∴ 6 ways are to match 5 of 6 numbers

To calculate number of ways to match 4 of 6 numbers we have to use to formula:

nCr =\frac{n!}{(n - r)! . r !}

6C4=\frac{6!}{(6-4)! . 4!}

6C4=\frac{6!}{(2)! . 4!}

6C4=\frac{6.5.4.3.2.1}{2.1.4.3.2.1}

6C4=\frac{30}{2}

6C4= 15 \ ways

∴ 15 ways are to match 4 of 6 numbers

To calculate number of ways to match 4 of 6 numbers we have to use to formula:

nCr =\frac{n!}{(n - r)! . r !}

6C3=\frac{6!}{(6-3)! . 3!}

6C3=\frac{6!}{(3)! . 3!}

6C3=\frac{6.5.4.3.2.1}{3.2.1.3.2.1}

6C3=\frac{120}{6}

6C3= 20 \ ways

∴ 20 ways are to match 3 of 6 numbers

Learn more about Jackpots here :

brainly.com/question/27116420

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6 0
1 year ago
A study was recently conducted at a major university to estimate the difference in the proportion of business school graduates w
sveta [45]

Answer:

(0.1875-0.274) - 1.96 \sqrt{\frac{0.1875(1-0.1875)}{400} +\frac{0.274(1-0.274)}{500}}=-0.1412  

(0.1875-0.274) + 1.96 \sqrt{\frac{0.1875(1-0.1875)}{400} +\frac{0.274(1-0.274)}{500}}=-0.0318  

And the 95% confidence interval would be given (-0.1412;-0.0318).  

We are confident at 95% that the difference between the two proportions is between -0.1412 \leq p_A -p_B \leq -0.0318

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

p_A represent the real population proportion for business  

\hat p_A =\frac{75}{400}=0.1875 represent the estimated proportion for Business

n_A=400 is the sample size required for Business

p_B represent the real population proportion for non Business

\hat p_B =\frac{137}{500}=0.274 represent the estimated proportion for non Business

n_B=500 is the sample size required for non Business

z represent the critical value for the margin of error  

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})  

Solution to the problem

The confidence interval for the difference of two proportions would be given by this formula  

(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}  

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=1.96  

And replacing into the confidence interval formula we got:  

(0.1875-0.274) - 1.96 \sqrt{\frac{0.1875(1-0.1875)}{400} +\frac{0.274(1-0.274)}{500}}=-0.1412  

(0.1875-0.274) + 1.96 \sqrt{\frac{0.1875(1-0.1875)}{400} +\frac{0.274(1-0.274)}{500}}=-0.0318  

And the 95% confidence interval would be given (-0.1412;-0.0318).  

We are confident at 95% that the difference between the two proportions is between -0.1412 \leq p_A -p_B \leq -0.0318

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3 years ago
What is the pattern in the values as the exponents increase? add 1/16 to the previous value subtract 1/16 from the previous valu
Lana71 [14]

the answer is multiply the previous value by 2

Step-by-step explanation:

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According to this diagram, what is sin 23º7
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Answer:

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