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svetoff [14.1K]
3 years ago
8

a bag of popcorn contains 483 calories and servers 3.5 people. how many calories are in each serving.

Mathematics
1 answer:
UNO [17]3 years ago
4 0

Answer:

138

Step-by-step explanation:

383 divide by 3.5.

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Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are
Kruka [31]

Answer:

Step-by-step explanation:

The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

Where

x1 = sample mean of type A paint

x2 = sample mean of type B paint

s1 = sample standard deviation type A paint

s2 = sample standard for type B paint

n1 = number of samples of type A paint

n2 = number of samples of type B paint

From the information given,

x1 = 75.7

s1 = 4.5

n1 = 11

x2 = 64.3

s2 = 5.1

n2 = 9

x1 - x2 = 75.7 - 64.3 = 11.4

√(s1²/n1 + s2²/n2) = √(4.5²/11 + 5.1²/9) = √4.709

Degree of freedom = (n1 - 1) + (n2 - 1)

df = (11 - 1) + (9 - 1) = 18

For the 98% confidence interval, the z score from the t distribution table is 2.552

Margin of error = 2.552√4.709 = 5.55

The upper boundary for the confidence interval is

11.4 + 5.55 = 16.95 hours

The lower boundary for the confidence interval is

11.4 - 5.55 = 5.85 hours

The correct option is

B. 5.85 hrs < μ1 - μ2 < 16.95 hrs

4 0
3 years ago
If X to the second power is 20, what is the value of X????????? can someone please help meeeeeee
kap26 [50]

<em>Answer:</em>

<em>x = 2√5</em>

<em>Step-by-step explanation:</em>

<em>Hi there !</em>

<em>x² = 20</em>

<em>x²  = 4×5</em>

<em>x² = 2²×5</em>

<em>x = √2²×5</em>

<em>x = 2√5</em>

<em>Good luck !</em>

8 0
3 years ago
Read 2 more answers
Exponential 2^2/2^-3​
kenny6666 [7]

Answer: 32

Step-by-step explanation:

2^2 is 4

2^-3 = 1/8

and 4/1/8 is 32

3 0
3 years ago
m∠WYX=(2x−1)° and m∠WYZ=(4x+1)°. If ∠WYX and ∠WYZ are complementary, what is the measure of each angle?
Neko [114]

We are given : m∠WYX=(2x−1)° and m∠WYZ=(4x+1)°.

∠WYX and ∠WYZ are complementary.

We know, sum of complementary angles is = 90°.

So, we need to add ∠WYX and ∠WYZ and set it equal to 90°.

m∠WYX + m∠WYZ = 90°.

Plugging values of ∠WYX and ∠WYZ in the above equation, we get

(2x−1)° + (4x+1)° = 90°.

Removing parentheses from both sides,

2x-1 + 4x+1 =90.

Combining like terms,

2x+4x= 6x and -1+1 =0

6x +0 =90.

6x=90.

Dividing both sides by 6.

6x/6 =90/6

x= 15.

Plugging value of x=15.

m∠WYX=(2x−1)° = 2*15 -1 = 30 -1 =29

m∠WYZ=(4x+1)° = 4*15 +1 = 60+1 = 61.

Therefore, ∠WYX=29° and ∠WYZ=61°.



5 0
3 years ago
Which triangles are similar? which theorem do you use to prove the similarity?​
AURORKA [14]
I think the similar triangle is d and b for this question
7 0
3 years ago
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