Confusion .. help please

Answer:

97,655

Step-by-step explanation:

5(5)^(n-1) = 78,125

5^n = 78,125

n = 7

=> S7 = 5(5^7 -1) / (5-1)

= 5/4 (78, 125 -1)

= 5/4 (78 124) = 97,655

Given:

The table for a geometric sequence.

To find:

The formula for the given sequence and the 10th term of the sequence.

Solution:

In the given geometric sequence, the first term is 1120 and the common ratio is:

[tex]r=\dfrac{a_2}{a_1}[/tex]

[tex]r=\dfrac{560}{1120}[/tex]

[tex]r=0.5[/tex]

The nth term of a geometric sequence is:

[tex]a_n=ar^{n-1}[/tex]

Where a is the first term and r is the common ratio.

Putting [tex]a=1120, r=0.5[/tex], we get

[tex]a_n=1120(0.5)^{n-1}[/tex]

Therefore, the required formula for the given sequence is [tex]a_n=1120(0.5)^{n-1}[/tex].

We need to find the 10th term of the given sequence. So, substituting [tex]n=10[/tex] in the above formula.

[tex]a_{10}=1120(0.5)^{10-1}[/tex]

[tex]a_{10}=1120(0.5)^{9}[/tex]

[tex]a_{10}=1120(0.001953125)[/tex]

[tex]a_{10}=2.1875[/tex]

Therefore, the 10th term of the given sequence is 2.1875.

answer

three

explain hope this helps

Answer:

62.83

Step-by-step explanation:

Answer:

0.6032 = 60.32% probability that on a given day the supermarket will sell between 477 and 525 gallons of milk

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean and standard deviation of 486.9 and 24.01, respectively.

This means that [tex]\mu = 486.9, \sigma = 24.01[/tex]

What is the probability that on a given day the supermarket will sell between 477 and 525 gallons of milk?

This is the p-value of Z when X = 525 subtracted by the p-value of Z when X = 477.

X = 525

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{525 - 486.9}{24.01}[/tex]

[tex]Z = 1.59[/tex]

[tex]Z = 1.59[/tex] has a p-value of 0.9441

X = 477

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{477 - 486.9}{24.01}[/tex]

[tex]Z = -0.41[/tex]

[tex]Z = -0.41[/tex] has a p-value of 0.3409

0.9441 - 0.3409 = 0.6032

0.6032 = 60.32% probability that on a given day the supermarket will sell between 477 and 525 gallons of milk

Answer:

b

Step-by-step explanation:

Answer:

B is the correct answer

Hope this helps!! :D

Answer:

m ≥ 4

Step-by-step explanation:

8m ≥32

m ≥ 4 where m is the number of days needed to make the cakes so it needs 4 or more days to make 32 cakes

Answer:

2,7   2,3   3/4

Step-by-step explanation:

2,7 = 0.29  2,3 = 0.67  3/4 = 0.75

Answer:

-2.6, -2.16, 0.58, 0.8, 5.1

Step-by-step explanation:

Answer:

D) -2.6, -2.15,0.58,0.8, 5.1

Step-by-step explanation:

Answer:

y = 5/4x - 14

Step-by-step explanation:

Given:

Passes through (8, -4)

Slope (m) = 5/4

Slope-intercept equation:

y - y1 = m(x - x1)

y - (-4) = 5/4(x - 8)

y + 4 = 5/4x - 10

y = 5/4x - 14

Answer:

1/36

Step-by-step explanation:

the chance of rolling a 2 on a 6-sided die is 1/6 and rolling a 5 on a 6-sided is also 1/6.

So, 1/6 * 1/6 = 1/36

Hope this is helpful

Answer:

Step-by-step explanation:

six sided die gives you 6 possibilities

probability of rolling a 2 is 1/6

probability of rolling a 5 on the second roll is 1/6

Answer:

The hypotenuse measures 8.48 meters.

Step-by-step explanation:

Given that a right isosceles triangle has legs of 6 meters long each, to find the length of the hypotenuse to the nearest tenth of a meter the following calculation must be performed, through the application of the Pythagorean theorem:

6 ^ 2 + 6 ^ 2 = X ^ 2

36 + 36 = X ^ 2

√ 72 = X

8.48 = X

Therefore, the hypotenuse measures 8.48 meters.

Answer:

Option C

Step-by-step explanation:

I just graphed on my TI-84

Hope this helps!

what that makes no sense

Answer:

C. 8/25 - 19/25i

Step-by-step explanation:

Given that:

[tex]\dfrac{4-i}{3+4i}[/tex]

[tex]= \dfrac{(4-i) (3-4i)}{(3+4i)(3-4i)}[/tex]

[tex]= \dfrac{(4-i) (3-4i)}{(3+4i)(3-4i)} \\ \\ =\dfrac{12 -16i -3i+4i^2}{9 - 12i +12i -16i^2} \\ \\ = \dfrac{12-19i+4i^2}{9-16i^2} \\ \\ = \dfrac{8-19i}{25}[/tex]

[tex]=\dfrac{8}{25}- \dfrac{19i}{25}[/tex]

Answer:

y = 5 sin (2x) + 4

Step-by-step explanation:

this is sines function,

the amplitude is [9 - (-1)]/2 = 10/2 = 5

the period is 2πx/π = 2x

the x-axis of actual function is at y = 4

so, the function is :

y = 5 sin (2x) + 4

Answer:

13.5 pounds

Step-by-step explanation:

90% of 15 is 13.5 or if you need to round then 14 pounds of lettuce

Answer:

a) 120 possible experimental runs

b) 8 possible experimental runs

c) 0

Step-by-step explanation:

a. For the experiment, there are 6 different temperatures (T), 5 different pressures (P), and 4 different catalysts (C). We can find the total number of combinations using the product rule.

N = T × P × C

N = 6 × 5 × 4 = 120

b) If we use only the lowest temperature, we have T = 1, and if we use the two lowest pressures, we have P = 2. We can find the total number of combinations using the product rule.

N = T × P × C

N = 1 × 2 × 4 = 8

c) If we perform 5 experimental runs with 4 possible catalysts, it is not possible to use a different catalyst each time. At least, 1 catalyst must be repeated twice. Then, the event "a different catalyst is used on each run" has a probability of 0.

Answer:

D the horizontal cross-section of the pyramid and cone at the same height must have the same area

Answer:

2.4x-4.4

Step-by-step explanation:

0.3(4x-8)-0.5(-2.4x+4)

DISTRIBUTE: 1.2x-2.4+1.2x-2

COMBINE LIKE TERMS: 2.4x-4.4

your answer is: 2.4x-4.4

Answer:

Step-by-step explanation:

Answer:

C) 86

Step-by-step explanation:

To find the mean you first add all of the numbers together. So you would add 75+90+84+95=344. Then you would divide the sum by the amount if numbers there are. So it would be 344÷4 =86

Hope this helped :)

Answer:

x = 75, 90 , 84, 95

[tex]Mean = \frac{ \sum x}{n}= \frac{75+90+84+95}{4} = 86[/tex]

The mean, range, and median will vary if the outlier is eliminated. Options A, B, and C are correct.

The arithmetic mean is a term used to describe the average. It's the ratio of the total number of observations to the sum of the observations.

The data set is;

1,6,8,8,8

Outliers in a dataset or graph are extreme values that stand out significantly from the main pattern of values.

There is an aberration in the graph below, on the far left. The value in January is much lower than the value in the other months.

If the outlier is removed mean, range, and median will changes.

Hence options A, B and C are correct.

To learn more about mean refer:

https://brainly.com/question/13451489

#SPJ2

Answer:

160π cubic feet

Step-by-step explanation:

V= πr²h

V= π x 4²x 10

V = 160π cubic feet

Answer:

Step-by-step explanation:

Top and bottom

Area = L*W

L = 4

W = 2

Area = 4 * 2 = 8

But there are two of them  (2 * 8)                       16

Left and right

Area = L * W

L = 3

W = 2

Area = 2 *3  = 6

But there are two of them                                   12

From back

L*W = 4*3

But there are two of them                                24

Total                                                                    52