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Feliz [49]
3 years ago
10

5 squirrels were found to have an average weight of 8.9 ounces with a sample standard deviation is 0.9. Find the 95% confidence

interval of the true mean weight.
Mathematics
1 answer:
stira [4]3 years ago
7 0

Answer: ( 8.11 , 9.69)

the 95% confidence interval of the true mean weight

= ( 8.11 , 9.69)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 8.9

Standard deviation r = 0.9

Number of samples n = 5

Confidence interval = 95%

z(at 95% confidence) = 1.96

Substituting the values we have;

8.9+/-1.96(0.9/√5)

8.9+/-1.96(0.4025)

8.9+/- 0.79

= ( 8.11 , 9.69)

Therefore at 95% confidence interval (a,b) = ( 8.11 , 9.69)

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Use the number line to find the sum of 1.5+(-5). A. -3.5 B.6.5 C.-6.5 D.3.5
Anika [276]

Answer:

A. -3.5

Step-by-step explanation:

when adding a negative you subtract

so rewrite it as

1.5-5

which gives you -3.5

5 0
3 years ago
In the picture lines AB and CD are parallel. Find the measures of the following angles. Explain your reasoning.
hichkok12 [17]

Answer/Step-by-step explanation:

1. <ABC and <BCD are alternate interior angles. Alternate interior angles are equal, therefore, since m<ABC = 38°, then m<BCD = 38°

2. m<ECF = m<BCD (corresponding angles)

m<ECF = 38° (substitution)

3. m<DCF + m<ECF = 180° (linear pair)

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m<DCF = 180° - 38° (Subtraction property of equality)

m<DCF = 142°

5 0
2 years ago
Matilda and Lorraine work in the mail room of a large company sorting letters. Matilda has already sorted 50 letters and continu
labwork [276]
1) Number of letters Matilda has sorted after x hours: m(x)Matilda has already sorted 50 letters and continues sorting at a rate of 50 letters per hour:m(x)=50+50xwhere:Number of hours: x
Number of letters Lorraine has sorted after x hours: l(x)Lorraine has already sorted 80 letters and continues sorting at a rate of 40 letters per hour:l(x)=80+40xwhere:Number of hours: x
Which function can Matilda and Lorraine use to determine the total number of letters they have sorted after x hours?Total number of letters they have sorted after x hours: f(x)
f(x)=m(x)+l(x)f(x)=(50+50x)+(80+40x)f(x)=50+50x+80+40xf(x)=90x+130
Answer: The function Matilda and Lorraine can use to determine the total number of letters they have sorted after x hours is f(x)=90x+130
2) How many letters will they have sorted after 6 hours?
x=6→f(6)=?f(6)=90(6)+130f(6)=540+130f(6)=670
Answer: They will have sorted 670 letters after 6 hours
Answer: First option: The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 90x + 130. Thus, they will have sorted 670 letters in 6 hours.

4 0
3 years ago
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Greeley [361]

Answer:

0.8 miles

Step-by-step explanation:

0.2 x 4 = 0.8

8 0
2 years ago
Read 2 more answers
Can somebody please help me on this?
daser333 [38]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
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