What is the sum of the first 7 terms of the geometric series:

What Is The Sum Of The First 7 Terms Of The Geometric Series:

Answers

Answer 1

Answer:

-15.875

Step-by-step explanation:

First, we can sum up the first 5 terms.

-8 + (-4) = -12

-12 + (-2) = -14

-14 + (-1) = -15

-15 + (-1/2) = -15.5

Next, we can find a pattern in the data. We can tell that the next number is one half of the current number. For example, -4 is one half of -8. To find the next number, we simply multiply our current number by one half. Thus, the sixth number is -1/4 and the seventh is -1/8. Adding these to our current total, we have

-15.5 - 1/4 = -15.75

-15.5 - 1/8 = -15.875 as our answer


Related Questions

What is the m GE bisects Find m

Answers

Answer:

DGF = 106

Step-by-step explanation:

Bisects means to divide in half, with two equal parts

DGF = DGE + EGF

DGE = EGF

DGF = DGE + DGE

DGF = 53+53

DGF = 106

GE bisects ∠DGF, so it divides ∠DGF into 2 equal parts.

So, m∠EGF = m∠DGE

=> m∠EGF = 53°

m∠DGF = m∠EGF + m∠DGE

=> m∠DGF = 53° + 53°

=> m∠DGF = 106°

Y=-4x-2 and intersects at the points (4,-1)

Answers

Answer:

It doesn't intersect at that point

[tex]{ \bf{y = - 4x - 2}} \\ y = - (4 \times 4) - 2 \\ y = - 18[/tex]

Answer: N/A

Step-by-step explanation:

The line y = -4x - 2 does not go through the point (4, -1); it only passes through the point (4, -4(4) - 2) = (4, -18)

Study the table representing the price of different amounts of apples, in pounds, and then complete the sentences. The constant difference in the y-values is . The linear function is .

Answers

Answer: the first part is 1.25. The second part is y=1.25x

Step-by-step explanation: edge 2021

Determine the intercepts of the line
Y ——-,——-
X——-,——-

Answers

Answer:

(-8,0), (0,-6)

Step-by-step explanation:

2. About 40 millions of aluminum cans can be recycled each month in the US. A quarter of these aluminum cans are used to make one aluminum boat. How many aluminum boats can be made in one year in the US?​

Answers

Answer:

48

Step-by-step explanation:

About 40 millions of aluminum cans can be recycled each month in the US. A quarter of these aluminum cans are used to make one aluminum boat. How many aluminum boats can be made in one year in the US?

Given that:

Approximate Number of cans that can be recycled per month in the US = 40 million

Fraction of recycled cans that can be used to make an aluminum boat = 1/4

The number of aluminum boats that can be made in the US in one year :

If about 40 million cans are recycle per month :

The number of boat that can be made from each monthly recycled aluminum cans will be :

Number of monthly recycled can needed to make one boat:

1/4 * 40 million = 10 million cans

Hence, 40,000,000 / 10,000,000 = 4

4 aluminum boats can be made in one month :

Number of months in a year = 12

Number of aluminum boats that can be made in a year :

4 per month * 12 = 48 aluminum boats


Evaluate the expression for a=3, b=1/2, and c=4


8ab/2bc

Answers

The answer is 3

8 times 3 times half

Divided by 2 times half times 4


Then in the numerator 24 times half

Denominator 8 times half


Numerator 12

Denominator 4

Then divide and I got 2

The probability that a tennis set will go to a tiebreaker is 13%. In 120 randomly selected tennis sets, what is the mean and the standard deviation of the number of tiebreakers

Answers

Answer:

[tex]\mu = 15.6[/tex]

[tex]\sigma =3.684[/tex]

Step-by-step explanation:

Given

[tex]p =13\%[/tex]

[tex]n = 120[/tex]

Solving (a): The mean

This is calculated as:

[tex]\mu = np[/tex]

So, we have:

[tex]\mu = 13\% * 120[/tex]

[tex]\mu = 15.6[/tex]

Solving (b): The standard deviation

This is calculated as:

[tex]\sigma = \sqrt{\mu * (1 - p)[/tex]

So, we have:

[tex]\sigma = \sqrt{15.6 * (1 - 13\%)[/tex]

[tex]\sigma = \sqrt{15.6 * 0.87[/tex]

[tex]\sigma =\sqrt{ 13.572[/tex]

[tex]\sigma =3.684[/tex]

Plz tell this AWANSERS STEP BY STEP

Answers

Step-by-step explanation:

solved in the diagram above

I hope it helps you

Tessa conducts an experiment and obtains results that are statistically significant. What is meant by "statistically significant"? O It means that Tessa used a large sample size. O It means that the results that Tessa obtained are too unusual to be explained by chance alone. It means that Tessa's experiment was not biased. O It means that the individuals in the experiment were randomly assigned to the treatment groups. earch 0 so DOLL​

Answers

9514 1404 393

Answer:

  (b)  It means that the results that Tessa obtained are too unusual to be explained by chance alone

Step-by-step explanation:

The test for statistical significance is a comparison of the result to the probability that it occurred by chance. The probability of a chance occurrence is usually set at 1% or 5%. The lower the percentage, the less likely a chance occurrence is, and the more difficult showing statistical significance becomes.

(3b-4)(b+2) in standard form

Answers

Answer:

3b^2 + 2b -8

Step-by-step explanation:

* means multiply

^ means exponent

3b * b = 3b^2

3b * 2 = 6b

-4 * b = -4b

-4 * 2 = -8

3b^2 + 6b -4b -8

3b^2 + 2b -8

Question 5
Points 1
duction
st
Which of the following is a polynomial of degree 5?
est
7x+ 5x2-3
0 2x7-5
O x1/7 + 1
0 12x4 - 5x3 + 6x - 4

Answers

Answer:

You can go ahead with this!

Step-by-step explanation:

Option A

Is the write answer

For the diagram below, which equation is the correct use of the distance
formula?

Answers

9514 1404 393

Answer:

  D

Step-by-step explanation:

Any equation that does not have y2 as the first term in the second set of parentheses will be incorrect.

The correct usage is shown in equation D.

I think the answer is B

In 1980, the average cost of a pack of cigarettes was $0.88. In 2000, the average cost was $5.31 per pack.

What is the average rate of change of the cost of a pack of cigarettes? What is another name for the average rate of change?

Round your answer to the nearest cent.

Answers

Answer:

The average rate of change of the cost of a pack is 22 cents per year.

Another name for the average rate of change is slope.

Step-by-step explanation:

The average rate of change of the cost of a pack ([tex]r[/tex]), in monetary units per year, is equal to the change in the average cost of a pack ([tex]\Delta c[/tex]), in monetary units, divided by the change in time ([tex]\Delta t[/tex]), in years. Then, the average rate of change is:

[tex]r = \frac{\$\,5.31-\$\,0.88}{2000-1980}[/tex]

[tex]r = \$\,0.22\,\frac{1}{yr}[/tex]

The average rate of change of the cost of a pack is 22 cents per year.

Another name for the average rate of change is slope.

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.7 millimeters and a standard deviation of 0.08 millimeters. Find the two diameters that separate the top 3% and the bottom 3%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.

Answers

Answer:

The diameter that separates the top 3% is of 5.85 millimeters, and the one which separates the bottom 3% is of 5.55 millimeters.

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 of 5.7 millimeters and a standard deviation of 0.08 millimeters.

This means that [tex]\mu = 5.7, \sigma = 0.08[/tex]

Top 3%

The 100 - 3 = 97th percentile, which is X when Z has a p-value of 0.97, so X when Z = 1.88.

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

[tex]1.88 = \frac{X - 5.7}{0.08}[/tex]

[tex]X - 5.7 = 1.88*0.08[/tex]

[tex]X = 5.85[/tex]

Bottom 3%

The 3rd percentile, which is X when Z has a p-value of 0.03, so X when Z = -1.88.

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

[tex]-1.88 = \frac{X - 5.7}{0.08}[/tex]

[tex]X - 5.7 = -1.88*0.08[/tex]

[tex]X = 5.55[/tex]

The diameter that separates the top 3% is of 5.85 millimeters, and the one which separates the bottom 3% is of 5.55 millimeters.

A study examined the stress amounts of working additional hours. In the study, the researchers investigated the link between weekly hou networking Web site. The Web site's directory was searched for those with "average" nares (e.g. "John Smith", "Sara Jones"). These inc leaving a sample size of 44 respondents. Answer parts (a) through (d).
a. Identify the experimental units for this study. Choose the correct answer below.
A. Stress levels
B. Weekly hours worked
C. All workers
D. People who used a particular Web site
b. What are the variables of interest? Are they quantitative or qualitative in nature?
A Weekly hours worked, qualitative; Stress level, quantitative
B. Weekly hours worked, qualitative; Stress level, qualitative
C. Weekly hours worked, quantitative; Stress level, quantitative
D. Weekly hours worked, quantitative; Stress level, qualitative
c. Describe the population of interest. Choose the correct answer below.
A. Weekly hours worked
B. People who used da particular Web site
C. All workers
D. Stress levels
d. Do you believe the sample of 44 respondents is representative of the population? Explain.
A. No, selection bilas is present since only those with average" names could participate, and the group of these that did was self-selecte
B. Yes, since the Web site is popular, the sample is likely to contain a diverse group.
C. No, although an average subset of the population was obtained the group within this subset that participated was self-selected.
D. Yes, an average subset of the population was obtained, and anyone within this subset could participate. hours worked and stress level (measured on a 5-point scale where 1 = "not stressed and 5= very stressed"). Participants for the study were those who used a popular social e individuals were then invited to participate in an online survey in exchange for a $10 gift certificate of the respondents, those who worked very many or very few hours were excluded

Answers

All workers need help with a new drill and the answer is A

Suppose that E and F are points on the number line. If EF=20 and E lies at 4, where could F be located?

Answers

Answer:

F lies at 24

Step-by-step explanation:

Since EF = 20 and E is at 4

F is at:

4 + 20 = 24

Pls could someone help me with this​

Answers

Answer:

- Bar Gaps should be the same

Y-axis up in units of 5 would help out

Step-by-step explanation:

Write an expression for the sequence of operations described below.
double t, subtract v from the result, then subtract u from what you have
Do not simplify any part of the expression.

Answers

Step-by-step explanation:

Double t

t+t=2t

Subtract v

2t-v

Subtract u

2t-v-u

please help will mark brainly. *personal finance*

Answers

Answer:

{B} travelling costs paid in connection with a temporary work assignment

What is the tangent of 0?

Answers

Answer: Tis 0

Step-by-step explanation:

Follow the process of completing the square
to solve 2x2 + 8x - 12 = 0.
After adding B2 to both sides of the equation in step 4, what is the constant on the right side of the equation?

Answers

2x^2 + 8x - 12 = 0..divide by 2

x^2 + 4x - 6 = 0

x^2 + 4x = 6...add 4 to both sides of the equation

x^2 + 4x + 4 = 6 + 4

(x + 2)^2 = 10....<== ur constant is 10

x + 2 = (+-)sqrt 10

x = -2 (+ - ) sqrt 10

x = -2 + sqrt 10

x = -2 - sqrt 10

data in the bar graph to solve the following problems. Choose the letter of the correl answer.
Distance from Churh (meters)
250
210
190
200
175
150
150
100
50
C. 25m
1. How much farther does Paolo walk thạnIgpher? Joshua
Topher
A. 20m
B. 15 m
C. 10m
D. 5m
2. How much farther does Joshua walk than Lucas?
A. 15m
B. 20m
D. 30m
3. How much farther does Topher than Lucas?
A. 50m
B. 40m
C. 30m
D. 20m
4. If you combine Paolo's and Lucas' distance from the church and compare it against the combined
distance walked by Joshua and Topher, which combined distance is farther
from the church?
A. Joshua and Topher
C. Joshua and Paolo
B. Paolo and Lucas
D. Topher and Lucas
5. Find the average distance of the houses of the 4 friends from the church?
A. 181
B. 191
C. 180​

Answers

Answer:

The answer is below

Step-by-step explanation:

The bar chart to the question is attached below.

The distance traveled by Paolo = 210 m, The distance traveled by Lucas = 150 m, The distance traveled by Jashua = 175 m, The distance traveled by Topher = 190 m

1) The farther distance walk by Paolo = The distance traveled by Paolo - The distance traveled by Topher = 210 m - 190 m = 20 m

2) The farther distance walk by Jasha = The distance traveled by Jashua - The distance traveled by Lucas = 175 m - 150 m = 25 m

3) The farther distance walk by Topher = The distance traveled by Topher - The distance traveled by Lucas = 190 m - 150 m = 40 m

4) Combined distance of Paolo's and Lucas = 210 m + 150 m = 360 m

Combined distance of Jashua and Topher = 175 m + 190 m = 365 m

Therefore the Combined distance of Jashua and Topher is more

5) Average distance = (210 + 150 + 175 + 190)/4 = 181.25 m

Yess again pls help!
Tyyy

Answers

Umm I need more info to help u?

A 27​% solution ​( 27mg per 100 mL of​ solution) is given intravenously. Suppose a total of 1,36 L of the solution is given over a 10 ​-hour period. Complete parts​ (a) through​ (c) below.
a. What is the flow rate in units of​ mL/hr?
nothing ​mL/hr ​(Type an integer or decimal rounded to the nearest thousandth as​ needed.)
What is the flow rate in per​ hour?
nothing ​mg/hr ​(Type an integer or decimal rounded to the nearest thousandth as​ needed.)
b. If each mL contains 13 drops​ (the drop factor is expressed as ​gtt/mL), what is the flow rate in units of​ 13gtt/hr?
nothing ​gtt/hr ​(Type an integer or decimal rounded to the nearest thousandth as​ needed.)
c. During the 10 ​-hour ​period, how much is​ delivered?
nothing mg ​(Type an integer or decimal rounded to the nearest thousandth as​ needed.)

Answers

Answer:

Step-by-step explanation:

a.

(1.36 L)/(10 hr) = (0.136 L)/(hr)

Flow rate = (0.136 L)/(hr) × (1000 mL)/L = (136 mL)/(hr)

136 mL × (27 mg)/(100 mL) = 36.72 mg

Delivery rate = (36.72 mg)/(hr)

b.

(136 mL)/(hr) × (13 gtt)/(mL) = (1868 gtt)/(hr)

c.

10 hr × (36.72 mg)/)hr) = 367.2 mg

How many different simple random samples of size 4 from a population size 46

Answers

Answer:   163,185

This is one single number. The number is slightly larger than 163 thousand.

====================================================

Explanation:

Consider four slots labeled A,B,C,D

We have....

46 choices for slot A45 choices for slot B44 choices for slot C43 choices for slot D

There's a countdown going on (46,45,44,43) when filling up the slots. This countdown is because we cannot reselect any specific person for multiple slots at the same time.

If order mattered, then we'd have 46*45*44*43 = 3,916,440 permutations possible.

However, order doesn't matter. For any group of 4 people, there are 4! = 4*3*2*1 = 24 ways to arrange them. So we must divide the previous result over 24 to get (3,916,440)/24 = 163,185

This means there are 163,185 different combinations and this is the number of possible samples of size 4 from a population of 46 people. The order of any sample doesn't matter.

Joe bought 200 masks and each mask costs Rs.5. How much did he pay altogether?
pls write the steps how to do if you I will give 5 star

Answers

Given:

total number of masks= 200cost of 1 mask= Rs. 5

so, total cost fir 200 masks=

200×5

= 1000

therefore, Joe paid Rs. 1000 altogether.

He bought 200 masks.
And 1 mask costs Rs. 5. So for the equation you do...

1 mask = Rs. 5
200 masks = x(unknown)

➡️ x = Rs. 5 * 200 masks/ 1 mask

➡️ x = 1,000/1

➡️ x = Rs. 1,000

An expression to convert 50 miles per hour to miles per minute is shown.

What value can be entered in the box to correctly make this conversion?

Answers

Answer:

[tex]{ \tt{ = \frac{50}{1 \times 60} }}[/tex]

Step-by-step explanation:

50 miles=50 miles

1 hour=60 minutes

50÷60

0.8333333333333333mile per minute

~1.0 mile per minute

5.A shipment of 200microwavescontains twentydefective units. In how many ways can a vending company buy fifteenof thesemicrovavesand receivea.No defective units(2pts)b.Exactly two defective units.(2pts)c.At least one defective unit.(2pts)

Answers

Answer:

Step-by-step explanation:

Total no. of goods, n = 200

no. of defective units in the goods, d = 20

hence the no. of proper units,

g = n-d

g = = 200-20

g = 180

a)

ways in which a vending company buys fifteen of these microwaves and receive no defective units be:

[tex]^{180}C_{15}=\frac{180!}{15!\times (180-15)!}[/tex]

[tex]\approx 2.83\times 10^{21}[/tex]

b)

ways in which a vending company buys fifteen of these microwaves and receive exactly two defective units be:

[tex]^{20}C_2\times ^{180}C_{13}=\frac{20!}{2!\times (20-2)!} \times \frac{180!}{13!\times (180-13)!}[/tex]

[tex]\approx 190\times (2.146\times 10^{19})[/tex]

[tex]\approx 4.076\times 10^{21}[/tex]

c)

ways in which a vending company buys fifteen of these microwaves and receive at least one defective units be:

[tex]^{20}C_{1}\times ^{199}C_{14}=\frac{20!}{1!\times (20-1)!} \times \frac{199!}{13!\times (199-13)!}[/tex]

[tex]\approx 20\times (8.258\times 10^{19})[/tex]

[tex]\approx 1.652\times 10^{21}[/tex]

Not sure about the answers I gave

Need help with the others

Answers

Answer:

Ask me

Step-by-step explanation:

Tell me dear ask..

Verify the sine law by taking particular triangle in four quadrant.​

Answers

Answer:

answer is in the picture above

Other Questions
write any two things that should be remembered while writing chemical equation which was a goal of mercantilism but not of capitalism? A. Building up a country's reserves of gold and silver B. Reducing the government's involvement in the economy C. increasing a country's exports D. Providing a larger number of middle-class jobs Annie has set a goal of running at the track three times each week for a total of at least 16 miles per week. On Monday she ran 7.1 miles, and on Wednesday she ran 5.9 miles. If Annie plans to go running again on Friday, what is the minimum number of miles needed to reach her weekly goal? Which of the following statements about inflation is true? A. Inflation is not a problem because it is just another way for the government to collect revenuelong dash an alternative to the income tax or the sales tax. B. Inflation is a tax on spending money. C. Inflation is a tax on holding money. D. Inflation occurs when real GDP grows more rapidly than the quantity of money. Who were the leaders in war world II Write 9/7 as a mixed number. Give your answer in its simplest form. Question 8: Find the equation of the straight line that:(a) has a gradient of 4 and passes through the point (1, 10) cover your mouth isnt something to joke about Which of the following would BEST fit into the category of a social bill? A.a new law against public smokingB.a new law for military spendingC.a new law for taxing American citizensD.a new law for funding welfare programsPlease select the best answer from the choices providedABCD Please help me!Look at this diagram. How do i turn 3/8 into a percent The following data were collected from a simple random sample from an infinite population. 13 15 14 16 12 The point estimate of the population standard deviation is _____. Find the equation of the line through the points (6, -9) and (-2, -1). Asiago National Bank has assets of $900,000 and liabilities of $300,000. Asiago National Bank's net worth is $300,000. $600,000. $900,000. $1,200,000. Solve the following system of equations Refer to pictures above True or false: Strategists should consider how quickly they expect a product or technology to become popular when deciding whether to pursue a first-mover advantage. True false question. True False 1. A time study analyst timed an assembly operation for 30 cycles, and then computed the average time per cycle, which was 18.75 minutes. The analyst assigned a performance rating of .96, and decided that an appropriate allowance was 15%. Assume the allowance factor is based on the workday. Determine the following: observed time (OT), the normal time (NT), and the standard time (ST) Captain Ahab stood erect, looking straight out beyond the ships everpitching prow. There was an infinity of firmest fortitude, a determinate, unsurrenderable wilfulness, in the fixed and fearless, forward dedication of that glance. Not a word he spoke; nor did his officers say aught to him; though by all their minutest gestures and expressions, they plainly showed the uneasy, if not painful, consciousness of being under a troubled master-eye.MobyD**k,Herman MelvilleWhat is a possible theme based on this passage?Troubled leaders can have an unhealthy influence on their followers.Stubbornness is a necessary quality in a leader.Lack of verbal communication is a signal of a strong team. The 75.0 kg hero of a movie is pulled upward at a constant velocity by a rope. What is the tension on the rope? Which answer best completes this diagram?