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bezimeni [28]
3 years ago
7

Find the 20th term of the arithmetic sequence 15,9,3,-3

Mathematics
1 answer:
kati45 [8]3 years ago
3 0

Answer:

-99

Step-by-step explanation:

a = 15 \\ d =  - 6 \\  {n}^{th} term = a + (n + 1)d  = 15 + (n - 1)( - 6) \\  {20}^{th} term =15 + (20 - 1)( - 6) = 15 - 114 =  - 99

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If the critic rates a total of 100 restaurants what is the best prediction for the number of restaurants she gives exactly 3 sta
Katarina [22]

Answer:

Probability = 1 / 5

Step-by-step explanation:

Assuming that rates are from 1 to 5 ; with equal probability of being 1, 2 , 3 , 4, 5 each.

So, probability of 3 stars = Outcomes with 3 stars / Total outcomes

= 1 / 5

7 0
3 years ago
Give the equation of the line that is parallel to y=-3x+1 and goes through (-5,-6)
stich3 [128]

Hi there! The answer is y = -3x - 21

Let's set up the equation of the line step by step! First we need to know that we need to set up an equation in slope-intercept form. We get the following:

y = ax + b.
a represents the slope of the line.
b represents the intercept with the y-axis.

Since our new line is parallel to y = -3x + 1, both lines have the same slope. Therefore the slope of our line, which is represented by a, is -3.

y = -3x + b.
We also know that this line goes through the point (-5, -6) and therefore we can plug in these coordinates into our formula.

-6 = -3 × -5 + b
Simplify

-6 = 15 + b
Subtract 15

-21 = b
Switch sides

b = -21
Hence, y = -3x - 21

~ Hope this helps you!
8 0
3 years ago
1
aleksklad [387]

Answer:

.4 is the answer

Step-by-step explanation:

2÷5= .4

7 0
3 years ago
Read 2 more answers
96 is what percent of 400?
Dahasolnce [82]

Step-by-step explanation:

400 - 100%

96 - X%

400X = 9600

X = 9600/400

X = 24%

8 0
3 years ago
Read 2 more answers
Pls help me with this it’s due in one day
fenix001 [56]

Analyze picture

since both sides are congruent, ang H-I-G= angle H-G-I

angle H-I-G=32 degrees, so H-G-I is 32 degrees as well

180-32-32=

180-64=

116

x=116 degrees

it is an obtuse triangle

4 0
3 years ago
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