Answer:
The approximate 90% confidence interval is;
70,244 to 70,732
Step-by-step explanation:
Here, we want to calculate the approximate 90% C.I for the situation
Mathematically;
CI = mean ± (z * SD)/√n
From the question;
mean = 70,438
SD = 645.3
n = 30
we can get z from the CI table
90% CI is same as; 1.645 z-score
So , substituting these values;
CI = 70,438 ± ( 1.645 * 645.3)/√30
CI = 70,438 ± 194
So the CI = 70,438 -194 to 70,438 + 194
= 70,244 to 70,732
Answer:
70 , 84 , 105
Step-by-step explanation:
sum their ages , 10 + 12 + 15 = 37
divide the amount by this sum to find the value of one part of the ratio.
259 ÷ 37 = 7 ← value of 1 part of the ratio , then
10 parts = 10 × 7 = 70 euros ← Tom's share
12 parts = 12 × 7 = 84 euros ← Mary's share
15 parts = 15 × 7 = 105 euros ← Bill's share
Answer:
a cylinder, a sphere, and that little half sphere thing, oh and a triangular pyramid
Step-by-step explanation:
Given the function, <em>f(x) = 3x + 6,</em> we can solve for f(a), f(a + h) and 
by substituting their values into f(x) = 3x + 6. We will have the following:
<em><u>Given:</u></em>
<em>We are told to find:</em>
- f(a)
- f(a + h), and
1. <em><u>Find f(a):</u></em>
- Substitute x = a into f(x) = 3x + 6
f(a) = 3(a) + 6
f(a) = 3a + 6
<em>2. Find f(a + h):</em>
- Substitute x = a + h into f(x) = 3x + 6
f(a + h) = 3(a + h) + 6
f(a + h) = 3a + 3h + 6
<em>3. Find </em><em>:</em>
- Plug in the values of f(a + h) and f(a) into
Thus:
Therefore, given the function, <em>f(x) = 3x + 6,</em> we can solve for f(a), f(a + h) and by substituting their values into f(x) = 3x + 6. We will have the following:
Learn more here:
brainly.com/question/8161429
First statement: False. Points K, M and N form a triangle.
Second statement: True. Points J, K, and Q are on the same line.
Third statement: False. KN and MQ intersect at N, not at R.
Fourth statement: False. JQ and KM intersect at K, but MQ does not pass through it.
Fifth statement: True. By definition, there is always only 1 line that can be drawn between 2 given points.
