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aleksklad [387]
3 years ago
8

Evaluate these 3 series (screenshots attached)

Mathematics
1 answer:
harina [27]3 years ago
7 0
A.
n=1 is -4*1=-4
1st term is -4
2nd is -4/3
3rd is -4/9
4th is -4/27

b. converge because -1<r<1

c. as long as -1<r<1, then
the sum of the infnite series is
\frac{a_1}{1-r}
a1=-4
r=1/3

\frac{-4}{1-1/3}=\frac{-4}{2/3}=-12/2=-6
it has a sum of -6




sum of gemoetric sequence is
\frac{a_1(1-r^n)}{1-r}
a1=6
r=2
n=10
\frac{6(1-2^{10})}{1-2}
\frac{6(1-2^{10})}{-1}
6138
2nd answer



3*5+4*5+5*5+6*5+7*5+8*5=
5*(3+4+5+6+7+8)=
165
answer is 4th one

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4 0
4 years ago
Solve the equation for X.
Svetllana [295]

Answer:

x = - \frac{11}{8}

Step-by-step explanation:

Given

(x - 4) - (x + 7 ) = 8x

Distribute parenthesis noting second is distributed by - 1

x - 4 - x - 7 = 8x ← simplify left side

- 11 = 8x ( divide both sides by 8 )

x = - \frac{11}{8}

3 0
3 years ago
Brandon is running errands for his mother.
LiRa [457]

Answer:

As it is clear that adding 1/4 + 2/3 will bring 11/12. Therefore, Brandon is correct when he claims that he walks a total of  11/12  mile if he goes from his house to the library to the grocery store.

Step-by-step explanation:

As Brandon is

  • 1/4 mile from his house to the library
  • 2/3 mile from the library to the grocery store

Brandon claims that he walked a total of 11/12 mile if he goes from his house to the library to the grocery store

So, adding 1/4 + 2/3 would determine whether he is right or wrong.

Thus, considering the expression

\frac{1}{4}+\frac{2}{3}

\mathrm{Least\:Common\:Multiplier\:of\:}4,\:3:\quad 12

Adjust\:Fractions\:based\:on\:the\:LCM

\frac{1}{4}+\frac{2}{3}=\frac{3}{12}+\frac{8}{12}

         =\frac{3+8}{12}

         =\frac{11}{12}

As it is clear that adding 1/4 + 2/3 will bring 11/12. Therefore, Brandon is correct when he claims that he walks a total of  11/12  mile if he goes from his house to the library to the grocery store.

Keywords: word problem, LCM, fraction

Learn more about fraction word problem from brainly.com/question/12248068

#learnwithBrainly

8 0
3 years ago
A machine that produces a major part for an airplane engine is monitored closely. In the past, 10% of the parts produced would b
nata0808 [166]

Answer:

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

For this problem, we have that:

p = 0.1

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is

We need a sample size of at least n, in which n is found M = 0.04.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.1*0.9}{n}}

0.04\sqrt{n} = 0.588

\sqrt{n} = \frac{0.588}{0.04}

\sqrt{n} = 14.7

(\sqrt{n})^{2} = (14.7)^{2}

n = 216

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.

7 0
4 years ago
The value of the digit 8 in this number is 8 the value of the digit 7 in this number is not 700
In-s [12.5K]
It got to be 800 or something
3 0
3 years ago
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