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mart [117]
4 years ago
6

Evaluate the expression when a=6 . a-24 ( a:-30 , b:-18 , c:18 , d:22 )

Mathematics
1 answer:
DedPeter [7]4 years ago
5 0
A=6, then a-24 is b:-18
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Find the ninth partial sum of infinite sumnation 3i-4
snow_tiger [21]
\bf \sum\limits_{i=1}^9\ 3i-4\implies \sum\limits_{i=1}^9\ 3i-\sum\limits_{i=1}^9\ 4\implies 3\sum\limits_{i=1}^9\ i-\sum\limits_{i=1}^9\ 4
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3\cdot  \cfrac{9(9+1)}{2}-(9\cdot 4)

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4 years ago
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6 0
3 years ago
A botanist wishes to estimate the typical number of seeds for a certain fruit. She samples 72 specimens and counts the number of
Oliga [24]

Answer:

99% Confidence interval:   (50.9,61.3)        

Step-by-step explanation:

We are given the following in the question:

Sample mean, \bar{x} = 56.1

Sample size, n = 72

Alpha, α = 0.01

Sample standard deviation, σ = 16.7

Degree of freedom = n - 1 = 71

99% Confidence interval:  

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 71 and}~\alpha_{0.01} = \pm 2.64  

56.1 \pm 2.64(\dfrac{16.7}{\sqrt{72}} ) \\\\= 56.1 \pm 5.19\\\\ = (50.91 ,61.29)\approx (50.9,61.3)  

8 0
4 years ago
If f(x) = x2 − 1, and f(2a) = 35, then what could be the value of a ?
Naily [24]
<span>f(x)=<span>x2</span>−1</span>That means to find the value of the function at any value of x, we square x and subtract 1. If <span>x=2a</span>, we square <span>2a</span> and subtract 1:<span>f(2a)=(2a<span>)2</span>−1=4<span>a2</span>−1</span>Now, we know that <span>f(2a)=35</span>so we can find the value of a:<span>f(2a)=(2a<span>)2</span>−1=4<span>a2</span>−1=35</span><span>4<span>a2</span>−1+1=35+1</span><span>4<span>a2</span>=36</span><span><span>a2</span>=9</span><span><span>a=±3</span></span>
5 0
3 years ago
the diameter of yellow circle is 4cm the diameter of the whole figure is 8 cm what is the area of the blue region in terms of 3.
Jobisdone [24]

Answer:

The area is "50.24 cm^2"

Step-by-step explanation:

Given value:

r= 4 \ cm\\\\\pi = 3.14\\\\\ area \ of \ circle (A) = \pi \times \ r^2\\\\

                        A= 3.14 \times 16\\\\A= 50.24\ cm^2

4 0
4 years ago
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