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DIA [1.3K]
3 years ago
12

Write a rule for the n th term of the geometric sequence for which a_1=11 and a_4=88

Mathematics
1 answer:
mart [117]3 years ago
8 0

Answer:

Step-by-step explanation:

write a rule for the n th term of the geometric sequence for which a_1=11 and a_4=88

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Isaiah takes 25 hours to treat 75 lawn with an organic fertilizer at a housing complex The lawns in the complex are the same siz
sergeinik [125]

Isaiah will mow 9 lawns in 3 hours at the given rate.

Step-by-step explanation:

Given,

Lawns mowed in 25 hours = 75 lawns

We will find unit rate in terms of lawns;

75 lawns = 25 hours

1 lawn = \frac{25}{75}=\frac{1}{3}\ hour

9 lawns = \frac{1}{3}*9

9 lawns = 3 hours

Isaiah will mow 9 lawns in 3 hours at the given rate.

Keywords: unit rate, fraction

Learn more about fractions at:

  • brainly.com/question/11207748
  • brainly.com/question/11280112

#LearnwithBrainly

5 0
3 years ago
Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for 30 longbo
Alisiya [41]

Answer:

Do not reject H0. The mean days surfed for longboarders is significantly larger than the mean days surfed for all shortboarders

Step-by-step explanation:

The null hypothesis is that  the mean days surfed for all long boarders is larger than the mean days surfed for all short boarders

H0:  μL > μs      against the claim Ha:  μL≤ μs

the alternate hypothesis is the mean days surfed for all long boarders isless or equal to  the mean days surfed for all short boarders (because long boards can go out in many different surfing conditions)

The test statistic is

t= x1- x2/  √s1/n1+ s2/n2

1) Calculations

Longboards

Mean

ˉx=∑x/n=4+8+9+4+9+7+9+6+6+11+15+13+16+12+10+12+18+20+15+10+15+19+21+9+22+19+23+13+12+10/30

=377/30

=12.5667

Longboard Variance S2=[∑dx²-(∑dx)²/n]/n-1

=[831-(-13)²/30]/29

=831-5.6333/29

=825.3667/29

=28.4609

Shortboard Mean

ˉx=∑x/n=6+4+6+6+7+7+7+10+4+6+7+5+8+9+4+15+13+9+12+11+12+13+9+11+13+15+9+19+20+11/30

=288/30

=9.6

Shortboard Variance S2=[∑x²-(∑x)²/n]/n-1

=[ 3270-(288)2/30]/29

=3270-2764.8/29

=505.2/29

=17.4207

2) Putting values in the test statistic

t=|x1-x2|/√S²1/n1+S²2/n2

t =|12.5667-9.6|/√28.4609/30+17.4207/30

t =|2.9667|/√0.9487+0.5807

t=|2.9667|/√1.5294

t=|2.9667|/1.2367

t=2.3989

3) Degree of freedom =n1+n2-2=30+30-2=58

4) The critical region is t ≤ t(0.05) (58) =1.6716

5) Since the calculated t= 2.4 does not fall in the critical region t(0.05) (58)  ≤ 1.6716 we do not reject H0.

The p-value is 0.008969. The result is significant at p <0 .05.

6 0
3 years ago
What is the total volume of glass used to make the award?
Sholpan [36]
152 inches cubes because when I done this in my class he gave us the answer
7 0
3 years ago
Read 2 more answers
0.58 x 3 =<br> 1.74<br> Explain how you solved the problem?? <br><br> Any help
KonstantinChe [14]

Answer:

0.58x3=1.74

Step-by-step explanation:

first, you line up the numbers, easiest with the 0.58 on top. then, you multiply 3x8, which is 24. you put the four in the hundredths place, and carry the two. then, you multiply 3x5 and get 15, and add the two, making it 17. you put the seven in the tenths place, and carry the one the ones place. then you will multiply three by zero and get zero. finally, you add the one, and your answer is 1.74.

3 0
3 years ago
Read 2 more answers
Given 3 angles of a triangle how to find if its acute right, obtuse
mash [69]
If <a=90 or <b=90 or < c=90  the triangle is right
if one of the angles is > 90 the triangle is obtuse
if all the angles are < 90 the triangle is acute
8 0
3 years ago
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