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WARRIOR [948]
3 years ago
5

Jerry works no more than 20 hours a week during the school year. He is paid $10 an hour for tutoring geometry students and $7 an

hour for delivering pizzas for Pizza King. He wants to spend at least 3 hours, but no more than 8 hours, a week tutoring. Find Jerry’s maximum weekly earnings.
Mathematics
1 answer:
zvonat [6]3 years ago
4 0
Works no more than 20 hours/week

3-8 hours tutoring
Subtract 3-8 from the 20 to give you hours for pizza delivery

So anywhere between 12-17 hours for pizza delivery

To find his maximum weekly hours (keeping in no more than 20 hours)

3 hours tutoring
17 hours pizza

3 x $7 = $. $21
17 x $10 = $170
-----------------------
$191
If he did
8 hours of tutoring
12 hours of pizza

8 x &7 = $56
12 x $10 = $120
------------------------
$176

So he'd be better off working more hours delivering pizza & less doing tutoring


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Of 575 broiler chickens purchased from various kinds of food stores in different regions of a country and tested for types of ba
chubhunter [2.5K]

Answer:

a) 0.68 - 2.58 \sqrt{\frac{0.68(1-0.68)}{575}}=0.630  

0.68 + 2.58 \sqrt{\frac{0.68(1-0.68)}{575}}=0.730  

And the 99% confidence interval would be given (0.630;0.730).  

b) We are 99% confident that the true proportion of infected chickens are between 0.63 (63%) and 0.73 (73%)

c) For this case the answer would be No. Since all the required assumptions in order to construct the confidence interval  are satisfied, so then the results can be assumed for all the population

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 represent the real population proportion of interest  

\hat p =0.68 represent the estimated proportion

n=575 is the sample size required (variable of interest)  

z represent the critical value for the margin of error  

The population proportion have the following distribution  

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

Part a

The confidence interval would be given by this formula  

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

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=2.58  

And replacing into the confidence interval formula we got:  

0.68 - 2.58 \sqrt{\frac{0.68(1-0.68)}{575}}=0.630  

0.68 + 2.58 \sqrt{\frac{0.68(1-0.68)}{575}}=0.730  

And the 99% confidence interval would be given (0.630;0.730).  

Part b

We are 99% confident that the true proportion of infected chickens are between 0.63 (63%) and 0.73 (73%)

Part c

For this case the answer would be No. Since all the required assumptions in order to construct the confidence interval  are satisfied, so then the results can be assumed for all the population

4 0
3 years ago
Which of the following is equivalent to (x^4/3 x^2/3)^1/3
Reika [66]

Answer:

The answer is2nd point

Step-by-step explanation:

{n}^{a}  \times  {n}^{b}  =  {n}^{a + b}

(x^4/3)×(x^2/3) = x^(4/3 + 2/3)

= x²

{( {n}^{a} )}^{b}  =  {n}^{ab}

(x²)^1/3 = x^(2×1/3)

= x^2/3

7 0
3 years ago
Read 2 more answers
6x - 2y = 26<br><br> 2x + 3y = 5<br><br> Solve for X and Y
Softa [21]

Answer:

y is equal to -1

x is equal to 4

Step-by-step explanation:

The first thing you would do is multiply the bottom equation by a negative 3. You will get - 6x - 9y = -15. Keep the top equation the same. Both of the 6x's cancel. You then get -11y = 11 so y is equal to negative 1.

Since you have Y, you can now plug that in to any equation to find the value of x. -6x - 2(-1) = 26. You're left with 4. Plug both of the values into each equation to double check.

7 0
3 years ago
How many terms are in the arithmetic sequence shown below?<br>15, 7, -1, -9...,-225
NemiM [27]
We know that

We can write an Arithmetic Sequence as a rule:

<span>an = a1 + d(n−1)</span>

where

<span>a1 = the first term
<span>d =the "common difference" between terms

in this problem
a1=15  a2=7  a3=-1  a4=-9  .....    an=-225
d=a2-a1  
d=7-15-----> d=-8

</span></span>an = a1 + d(n−1)
for
an=-225
d=-8
a1=15
find n
-225=15+(-8)*(n-1)--> (n-1)=[-225-15]/-8----> n-1=30---> n=30+1---> n=31

the answer is
31

3 0
3 years ago
Can someone tell me whats 3\4x5\6 is im dum
Anastaziya [24]

Answer:

15/24

Step-by-step explanation:

hope this helps u.

4 0
3 years ago
Read 2 more answers
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