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Xelga [282]
3 years ago
5

Help!! How do I do 1 and 2

Mathematics
1 answer:
NeX [460]3 years ago
6 0

Answer:

1. The mode. 2. See below

Step-by-step explanation:

1. To find the mean, you need to add all the numbers up. So, add 24, 27, 31, 32, 36, 36, 36, 39, 40, 58, 58, and 59 to get 503. Then, you need to divide 503 by how many numbers there are, which in this case is 12. So, 503/12 ≈ 42. This number is rounded because it is a repeating decimal. The median is the middle number of the set when it is lined up in order of lowest to highest. In this case, we would need to add up the two middle numbers, 36 + 36, and divide by 2 to find the median. This is 54. The mode is the number that shows up most often. Here, this is 36. In this case, the mode best represents the data because the other two numbers are a bit too high.

2. Add 90 + 90 + 91 + 93 + 99 + 102 + 102 + 105 + 120 + 123 + 128 + 128 + 129 = 1523. Divide by 13 to get approximately 117, which is rounded because it is an ongoing decimal. The median is 102. In this case, we have 3 modes because more than one number occurs two times, so the modes are 90, 102, and 128. This one I'm unsure on since I haven't done this stuff in a while, and that's up to you. The modes give a pretty accurate representation of the range of the data, but then again so does the median and mean. It's up to you and what you've been taught.

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If the sum of the measures of ∠1 and ∠2 is 180°, what is the sum of the measures of ∠3 and ∠4?
m_a_m_a [10]
In any 4-sided shape, the angles add to 360. if angles 1 & 2 are 180, 3 & 4 are also 180. the answer is D
8 0
3 years ago
A quadratic function is defined by f(x) = 3x^2 + 4x - 2. A linear function is defined by g(x) = mx-5. What values of the slope o
irakobra [83]
You need to find points where the line g(x) intercepts the quadratic function f(x) in one and only one point.

Then 3x^2 + 4x -2 = mx - 5

solve 3x^2 + 4x - mx -2 + 5 = 0

3x^2 + (4 - m)x + 3 = 0

In order to there be only one solution (one intersection point) the radicand of the quadratic formula must be 0 =>

b^2 - 4ac = (4 - m)^2 - 4(3)(3) = 0

(4 - m)^2 = 24

4 - m = +/- √(24)

m = 4 +/- √(24) = 4 +/- 2√(6)

Then m, the slope of the line, may be 4 + 2√6 and 4 - 2√6




7 0
3 years ago
How do I solve this
anastassius [24]
\bf \cfrac{x+2}{x^2+6x-7}    so, that function is "defined", ok, what values of "x" are not in the domain, namely, what values can "x" take on and not make the function "undefined", well,  you know, if we end up with a 0 at the denominator, like   \bf \cfrac{x+2}{0}    then, we'd have an "undefined" expression...so... any values of "x" that make the denominator 0, are not really the ones we want, and thus they'd be excluded from the domain.


so, hmm which are those? let's check, let's set the denominator to 0, and solve for "x".

\bf x^2+6x-7=0\implies (x+7)(x-1)=0\implies x=
\begin{cases}
-7\\
1
\end{cases}
\\\\\\
\textit{let's check, } x=-7\quad \cfrac{(-7)+2}{(-7)^2+6(-7)-7}\implies \cfrac{-5}{49-42-7}\implies \cfrac{-5}{0}
\\\\\\
x=1\quad \cfrac{(1)+2}{(1)^2+6(1)-7}\implies \cfrac{3}{1+6-7}\implies \cfrac{-3}{0}
7 0
3 years ago
Whats the answer for this ​
marysya [2.9K]
The answer is c hope this helps
6 0
2 years ago
A van drove 241. 92 miles on 10. 8 gallons of gas. How far could the van drive on a full tank of 16. 2 gallons of gas? Drag and
mrs_skeptik [129]

You can use the given data to find out how many miles does the van travels for 1 gallon of gas. This will help you get the distance van can travel for full tank (16.2 gallons) of gas.

The considered van with full tank(16.2 gallons) can travel 362.88 miles

<h3>How to find the distance the van can travel per gallon of gas?</h3>

Since the considered van traveled 241.92 miles in 10.8 gallons, then we can take equal in dimension of input and output relation.

10.8 \: \rm gallons = 241.92 \: miles\\\\\text{Dividing both quantities by 10.8 to get miles traveled per gallon}\\\\\dfrac{10.8}{10.8} \:  gallon = \dfrac{241.92}{10.8} \: miles\\\\ 1 \: gallon = 22.4 \: miles

Thus, the considered van travels 22.4 miles per gallon of gas.

Now, since full tank consists of 16.2 gallons, thus, multiplying by 16.2 on both the sides, we  get

\rm 1 \: gallon = 22.4 \: miles\\\\16.2 \: gallons  = 16.2 \times 22.4 \: miles = 362.88 \: miles

Thus,

The considered van with full tank(16.2 gallons) can travel 362.88 miles

Learn more about division here:

brainly.com/question/2689177

8 0
2 years ago
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