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Drupady [299]
3 years ago
11

Eric and Stephanie took their younger sister Melissa to pick apples. Eric picked 4 times as many apples as

Mathematics
2 answers:
musickatia [10]3 years ago
6 0

Answer:

32manzanas

Step-by-step explanation:

melisaes  

4x+x=160

5xx=  160  

x=  32

vodka [1.7K]3 years ago
4 0

Answer:

Melissa picked 16 apples

Step-by-step explanation:

(Eric and Stephanie) 160 divided by 10 (I put ten because I add 6 and 4)

Which will equal 16.

Hope this helps ~~~~ :)

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⦁ In a simple random sample of 1219 US adults, 354 said that their favorite sport to watch is football. Construct a 95% confiden
fomenos

Answer:

95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is [0.265 , 0.316].

Step-by-step explanation:

We are given that in a simple random sample of 1219 US adults, 354 said that their favorite sport to watch is football.

Firstly, the pivotal quantity for 95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is given by;

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

where, \hat p = proportion of adults in the United States whose favorite sport to watch is football in a sample of 1219 adults = \frac{354}{1219}

           n = sample of US adults  = 1291

           p = population proportion of adults

<em>Here for constructing 95% confidence interval we have used One-sample z proportion statistics.</em>

So, 95% confidence interval for the population proportion, p is ;

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

                                                    significance level 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

<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} } ]

                         = [ \frac{354}{1219}-1.96 \times {\sqrt{\frac{\frac{354}{1219}(1-\frac{354}{1219})}{1219} } , \frac{354}{1219}+1.96 \times {\sqrt{\frac{\frac{354}{1219}(1-\frac{354}{1219})}{1219} } ]

                         = [0.265 , 0.316]

Therefore, 95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is [0.265 , 0.316].

5 0
3 years ago
What is the solution to the system of equations y= -3x+6 and y =9
Lilit [14]
Plug the value of 9 in for y
9=-3x+6

Subtract 6 from both sides
3=-3x

Divide both sides by -3
-1=x

Final answer: x=–1
7 0
3 years ago
A grocery store sells American cheese for $3.89 per pound. About how much would 1.89 pounds of cheese cost?
Lena [83]
$7.35. All you do is multiply the two together
3 0
3 years ago
Read 2 more answers
The outdoor furniture center buys wooden benches for $50 each. The furniture store owner adds a %200 markup to the cost of the b
vlada-n [284]
The answer is very simple: 

$50 multiplied by 2 (Cause it's 200%) equals to $100
$50 multiplied by 1,2 (Cause it's 120%) equals to $60
Then, you just do the substractions, so you get $40.

Hope I helped u
7 0
3 years ago
Mr. Larsen's third grade class has 22 students, 12 girls and 10 boys. Two students must be selected at random to be in the fall
kupik [55]

The probability of no boys being chosen will be 0.29.

<h3>What is probability?</h3>

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Mr. Larsen's third-grade class has 22 students, 12 girls, and 10 boys.

Two students must be selected at random to be in the fall play.

Then the probability of no boys being chosen will be

Total event = ²²C₂ = 231

Favorable event = ¹²C₂ = 66

Then the probability will be

P = 66 / 231

P = 0.2857

P ≅ 0.29

More about the probability link is given below.

brainly.com/question/795909

#SPJ1

4 0
2 years ago
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