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ZanzabumX [31]
3 years ago
12

Recall the chapter example which described the fact that the mean IQ in large, diverse and the standard deviation is 15. Your sa

mple of 300 members populations is 100 your community gave you a mean 99% confidence level for this sample. Which of the following your answer? the margin of error for the figures comes closest to 1Q score of 1os. Calculate t A. 10.95 B. ±1.96 C. 12.23 D. 11.16 E. None of the above
Mathematics
1 answer:
natulia [17]3 years ago
7 0

Given Information:  

Population size = n = 300

standard deviation = σ = 15

confidence level = 99%

Required Information:

Margin of error = ?

Step-by-step explanation:

The margin of error is a measure of the effectiveness of your survey.

Margin of error = z*(σ/√n)

z-score corresponding to 99% confidence level = 2.58

Margin of error = ±2.58*(15/√300)

Margin of error = ±2.58*(0.866)

Margin of error = ±2.23

Hence the correct option is C ±2.23

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A rope is tied to the bottom of a hot air balloon as shown below. The rope makes an angle of 35 degrees with the ground distant
Serjik [45]
We have a right triangle. We know the hypotenuse (75 ft) and an angle of 35°. We need to find the opposite leg to the angle of 35° (h). The trigonometric function that relates the opposite leg to an angle with the hypotenuse is sine:
sin 35° = (Opposite leg to 35°) / hypotenuse
sin 35° = h/(75 ft)

Solving for h:
(75 ft) sin 35°=h
h=75 sin 35° ft
h=75 (0.573576436) ft
h=43.01823270 ft
h=43 ft

Answer: T<span>he bottom of the balloon is 43 ft from the ground</span>
8 0
3 years ago
The surface area of a right square pyramid is 50 square inches. If the sides of the base and the slant height of the pyramid are
AnnyKZ [126]

Answer:

C

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
What is the derivative of y with respect to x if y = 2/X4
zepelin [54]
You're correct, the answer is C.

Given any function of the form y=x^n, then the derivative of y with respect to x (\frac{dy}{dx}) is written as:
\frac{dy}{dx}=nx^n^-^1

In which n is any constant, this is called the power rule for differentiation.

For this example we have y= \frac{2}{x^4}, first lets get rid of the quotient and write the expression in the form y=x^n:
y= \frac{2}{x^4} =2x^-^4

Now we can directly apply the rule stated at the beginning (in which n=-4):
\frac{dy}{dx}=(2)(-4)x^{-4-1}=-8 x^{-5}= -\frac{8}{x^5}

Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).
6 0
3 years ago
Samantha read 22 books in 4 months. How many books would she read in 10 months?
kari74 [83]

Well first let's find out how many books she reads in 1 month.
1) 22 (books) ÷4 (months)=5.5 she reads 5.5 books in one month.
Now we multiply 5.5 by the amount of months she will be reading.
2) 5.5 (books) ×10 ( months)=55 books
SAMANTHA WILL READ 55 BOOKS IN 10 MONTHS

8 0
4 years ago
(9.70 x 10^6) + (8.3 x 10^5)=​
nexus9112 [7]

Answer:

1.053  *10 ^7

Hope this helps, you can look it up on google by the way ^^

5 0
3 years ago
Read 2 more answers
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