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zimovet [89]
3 years ago
5

Karina needs a total score of at least 627 on three games of bowling to break the league record. Suppose she bowls 222 on her fi

rst game and 194 on her second game. What score does she need on her third game to break the record? (Write an inequality).
Mathematics
1 answer:
irga5000 [103]3 years ago
3 0
X+y+z≥627
x=222
y=194

222+194+z≥627
if we solved for z then
z≥221
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Ravi needs to buy some pencils. Brand A has 36 pencils for $8.52. Brand B has a pack of 48 pencils for $9.98. Find the unit pric
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For this question you would divide $8.52 by 36 pencils to get about $0.24 per pencil for brand A rounded to the nearest cent. Then divide $9.98 by 48 pencils to get about $0.21 per pencil for brand B rounded to the nearest cent.

6 0
3 years ago
Why is 3^7 equal to 7 1/3
valentinak56 [21]

The required answer is (7^{\frac{1}{3}})^{3} = (7^{\frac{1}{3}*3}) = 7^1=7.

<u>what is a power rule for exponents ?</u>

(a^m)^n=a^{mn} is known as the power rule for exponents. Exponent times power is how you raise a number with an exponent to a power.

A number's exponent demonstrates how many times we are multiplying a given number by itself. 3^4, for instance, indicates that we are multiplying 3 by four. 3*3*3*3 is its expanded form. The power of a number is another name for an exponent. It could be an integer, a fraction, a negative integer, or a decimal.

(7^{\frac{1}{3}})^{3} = (7^{\frac{1}{3}*3}) = 7^1=7

Here, we have used the rule (a^m)^n=a^{mn}

To learn more about the power rule for exponents from the given link

brainly.com/question/819893

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8 0
1 year ago
Gourmet Pretzels bakes soft pretzels on an assembly line. It currently bakes 800 pretzels each eight-hour shift. If the producti
Delvig [45]

Answer:

Change in productivity will be 50%

So option (b) will be correct option

Step-by-step explanation:

It is given that it takes 8 hour to bake 800 pretzels

And there is a shift of 8 hours

So hourly production = \frac{800}{8} =100

Now the production is increases to 1200

Now hourly production = \frac{1200}{8}=150

So change in productivity  = \frac{150-100}{100}=50 %

So option (b) will be correct answer

6 0
3 years ago
Harper goes to a store an buys an item that costs x dollars. She has a coupon for 30% off, and then a 6% tax is added to the dis
iragen [17]
Not enough information- the coupon will only be worth 24% after tax though.
5 0
2 years ago
Read 2 more answers
In early 2012, the Pew Internet and American Life Project asked a random sample of U.S. adults, "Do you ever ... use Twitter or
8090 [49]

Answer:

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

And the confidence interval is given by:

(0.123, 0.177)

And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16

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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

And the confidence interval is given by:

(0.123, 0.177)

And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16

3 0
3 years ago
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