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Elza [17]
2 years ago
14

If the first 4 terms of an infinite geometric sequence are 150, 120, 96, and 76.8, then the sum of all the terms in the sequence

is​
Mathematics
1 answer:
hammer [34]2 years ago
4 0

The sum of the sequence is 750

<h3>How to determine the sum of the series?</h3>

The series is given as:

150, 120, 96, and 76.8,

Start by calculating the common ratio using:

r = T2/T1

This gives

r = 120/150

r = 0.8

The sum of the series is then calculated as:

S = \frac{a}{1 - r}

This gives

S = \frac{150}{1 - 0.8}

Evaluate

S = 750

Hence, the sum of the sequence is 750

Read more about sequence at:

brainly.com/question/6561461

#SPJ1

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4. k/6 = 8/16 5. 5.4/7 = 27/h 6. 8/11 = 4/y+2
kupik [55]

Answer:

4. k=3\\

5. h=35

6. \frac{7}{2} or 3.5

Step-by-step explanation:

\frac{k}{6}=\frac{8}{16}

Multiply those 2 values whose diagonal has both terms and divide by the term whose diagonal has the variable.

k=\frac{8*6}{16}\\ k=\frac{48}{16}\\ k=3

-----------------------------------------------------------------------

\frac{5.4}{7}=\frac{27}{h}

h=\frac{7*27}{5.4} \\h=\frac{189}{5.4}\\ h=35

-------------------------------------------------------------------------

\frac{8}{11}=\frac{4}{y+2}

y+2=\frac{11*4}{8}\\ y=\frac{11*4}{8}-2\\y=\frac{44}{8}-2 \\y=\frac{11}{2}-2\\ y=\frac{11-2*2}{2}\\ y=\frac{11-4}{2}\\ y=\frac{7}{2}=3.5

7 0
3 years ago
According to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that h
shepuryov [24]

Answer:

The probability that exactly one of these mortgages is delinquent is 0.357.

Step-by-step explanation:

We are given that according to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure.

A random sample of eight mortgages was selected.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 8 mortgages

            r = number of success = exactly one

           p = probability of success which in our question is % of U.S.

                  mortgages those were delinquent in 2011, i.e; 8%

<em>LET X = Number of U.S. mortgages those were delinquent in 2011</em>

So, it means X ~ Binom(n=8, p=0.08)

Now, Probability that exactly one of these mortgages is delinquent is given by = P(X = 1)

                 P(X = 1)  = \binom{8}{1}\times 0.08^{1} \times (1-0.08)^{8-1}

                               = 8 \times 0.08 \times 0.92^{7}

                               = 0.357

<u><em>Hence, the probability that exactly one of these mortgages is delinquent is 0.357.</em></u>

4 0
3 years ago
HELLLLLLLP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZ
kodGreya [7K]

Answer:

80 miligrams

Step-by-step explanation:

100 / 250 = 0.4

0.4 * 200 = 80

8 0
3 years ago
A line on a graph shows a proportional relationship between the amount of almonds, x, in grams and the total calories y. Two poi
qaws [65]
C. 5.75 calories per gram

Edit: 287.5÷50=5.75
402.5÷70=5.75
4 0
3 years ago
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Paraphin [41]

Answer: 117 degrees

Step-by-step explanation:

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3 years ago
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