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Virty [35]
3 years ago
5

julian is moving from his hometown of Sedona, arizona to juneau alaska. he knows he is going to face a big temperature change an

d he is getting ready. the hottest it gets in Sedona is 112 degrees F. the hottest it gets in juneau is 72 degrees f. approximately what temperature change will julian experience?
Mathematics
2 answers:
babymother [125]3 years ago
8 0
He will experience a 40-degree temp change between Sedona and Juneau, just subtract both temps. 
Lyrx [107]3 years ago
5 0
40/ just subtract 112 and 72
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Bob newds to mix 2 cups of orange juice concentrate with 3.5 cups of water to make orange juice.Bobvhas 6 cups of concentrate.Ho
aivan3 [116]
So, Bob needs 2 cups of concentrate (I'll use the variable c to shorten it) for every 3.5 cups of water (w). When he has 6 cups of c, he has three times the original recipe, and therefore we need 3w as well. 

3.5x2=6+1=7. So we need 7 cups of water.

Now, 6 cups of concentrate + 7 cups of water = 13 cups of orange juice.

Bob can make 13 cups of orange juice.

Hope I helped!
8 0
3 years ago
Jane wants to estimate the proportion of students on her campus who eat cauliflower. After surveying 24 ​students, she finds 2 w
irina1246 [14]

Answer:

A 95​% confidence interval for the proportion of students who eat cauliflower on​ Jane's campus is [0.012, 0.270].

Step-by-step explanation:

We are given that Jane wants to estimate the proportion of students on her campus who eat cauliflower. After surveying 24 ​students, she finds 2 who eat cauliflower.

Firstly, the pivotal quantity for finding the confidence interval for the population proportion is given by;

                              P.Q.  =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of students who eat cauliflower

           n = sample of students

           p = population proportion of students who eat cauliflower

<em>Here for constructing a 95% confidence interval we have used a One-sample z-test for proportions.</em>

<u>So, 95% confidence interval for the population proportion, p is ;</u>

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level

                                                   of significance are -1.96 & 1.96}  

P(-1.96 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 1.96) = 0.95

P( -1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < {\hat p-p} < 1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.95

P( \hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < p < \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.95

Now, in Agresti and​ Coull's method; the sample size and the sample proportion is calculated as;

n = n + Z^{2}__(\frac{_\alpha}{2})

n = 24 + 1.96^{2} = 27.842

\hat p = \frac{x+\frac{Z^{2}__(\frac{\alpha}{2}_)  }{2} }{n} = \hat p = \frac{2+\frac{1.96^{2}   }{2} }{27.842} = 0.141

<u>95% confidence interval for p</u> = [ \hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } , \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ]

 = [ 0.141 -1.96 \times {\sqrt{\frac{0.141(1-0.141)}{27.842} } } , 0.141 +1.96 \times {\sqrt{\frac{0.141(1-0.141)}{27.842} } } ]

 = [0.012, 0.270]

Therefore, a 95​% confidence interval for the proportion of students who eat cauliflower on​ Jane's campus [0.012, 0.270].

The interpretation of the above confidence interval is that we are 95​% confident that the proportion of students who eat cauliflower on​ Jane's campus is between 0.012 and 0.270.

7 0
3 years ago
There are 2 pounds of jellybeans in the jar if you divided jellybeans jellybeans evenly into bags employees to 1 pound into each
Semenov [28]

Answer:

The number of bags used is 2 bags

Step-by-step explanation:

The mass of the jellybeans in the jar = 2 lbs

The mass divided evenly into bags = 1 pound each

Therefore the operation applied to the jar of jellybean is a division by 1 lb/bag, therefore, we have;

The number of bags used = 2 lbs/(1 lb/bag) = 2 bags

3 0
3 years ago
The tens digit of a certain number is five more than the units digit. The sum of the digits is 9. Find the number.
Leokris [45]
<span>the tens digit = n
</span><span>the units digit = n-5

n + n-5 = 9
2n = 9+5
2n = 14
n = 7  </span>←  the tens digit

the units digit = n-5 = 7 - 5 = 2

<span>the number is 72</span>
4 0
3 years ago
Read 2 more answers
I need help with this question... phenobarbital elixir contains 2 grams in 1 liter of elixir. How many milligrams of phenobarbit
posledela

To solve this problem, all we need is the conversion factor.

We know that there are:

1 liter = 202.884 teaspoons

 

Therefore the mass of Phenobarbital is:

mass = (2 grams / 1 Liter) * (1 teaspoon) * (1 Liter / 202.884 teaspoons)

<span>mass = 0.00986 g = 9.86 x 10^-3 g = 9.86 mg</span>

8 0
3 years ago
Read 2 more answers
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