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never [62]
3 years ago
7

Interpreting Algebraic Expressions 11+9k=6n The expressions has 2 terms. True or false?

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
3 0
I believe the expression is true
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Find the 17th term of an arithmetic sequence whose first term is 12 and whose common difference is 6. Type answer as an integer
erastova [34]

Answer:

Step-by-step explanation:

n17 = ?

n  = 17

d = 6

a1 =12

a17 = a1 +(n - 1)d

a17 = 12 + (17 - 1)*6

a17 = 12 + 16*6

a17 = 12 + 96

a17 = 108

4 0
3 years ago
Please help quick! Thanks!
Salsk061 [2.6K]
69.9


Gfgghfhd hush-hush kitten
3 0
2 years ago
Read 2 more answers
An ornithologist has 4 bird feeders at separate locations. She wonders if birds are equally likely to visit each of the feeders.
Marianna [84]

Answer:

the x² test statistic 13.71

Option a) 13.71 is the correct answer.

Step-by-step explanation:

Given the data in the question;

Feeder                     1      2      3       4

Observed visits; o_i  60   90   92    58

data sample = 300

Expected e_i = 300 / 4 = 75

the x² test statistic = ?

X^2_{stat = ∑[ (o_i - e_i)²/e_i]

X^2_{stat = [ (60 - 75)² / 75 ] + [ (90 - 75)² / 75 ] + [ (92 - 75)² / 75 ] + [ (58 - 75)² / 75 ]

X^2_{stat = [ 3 ] + [ 3 ] + [ 3.8533 ] + [ 3.8533 ]

X^2_{stat = 13.7066 ≈ 13.71

Therefore, the x² test statistic 13.71

Option a) 13.71 is the correct answer.

7 0
3 years ago
PLS HELP ME!!!!!!!! 99 POINTS
Amiraneli [1.4K]

Answer:

\angle LKN=\arctan1.8\sqrt{97}\approx 86.77^{\circ}

Step-by-step explanation:

Draw the second altitude MB (see attached diagram).

Quadrilateral HLMB is a rectangle, then LM = HB = 3 units.

Trapezoid KLMN is isosceles trapezoid (because KL=MN), thus

KH = BN = \dfrac{KN-HB}{2}=\dfrac{13-3}{2}=5\ units\\ \\HN=HB+BN=3+5=8\ units

Triangle LHN is right triangle, then by Pythagorean theorem,

LN^2=LH^2+HN^2\\ \\89^2=LH^2+8^2\\ \\LH^2=89^2-8^2\\ \\LH^2=(89-8)(89+8)\\ \\LH^2=81\cdot 97\\ \\LH=9\sqrt{97}\ units

Consider right triangle KLH. In this triangle,

\tan\angle LKH=\{\tan\angle LKH\}=\dfrac{\text{opposite leg}}{\text{adjacent leg}}=\dfrac{LH}{KH}=\dfrac{9\sqrt{97}}{5}=1.8\sqrt{97}\ units

So,

\angle LKN=\arctan1.8\sqrt{97}\approx 86.77^{\circ}

5 0
3 years ago
What is this answer
olga55 [171]
Hello!

I've altered the diagram and attached it below. I've added a circle; circles measure 360°. Segment CD is half the measure of the circle, thus it measures 180°. That means that if you add all the angle measures up, they have to equal 180°. Let's make an equation.

180 = (4x + 8) + 34 + (76 - x)

Now we can solve algebraically for x.

180 = 4x + 8 + 34 + 76 - x
180 = 3x + 118
62 = 3x
20.67 ≈ x

Answer:
x ≈ 20.67

4 0
3 years ago
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