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1 year ago

Find 26th term in the arithmetic sequence: -15,-35,-55,-75,...

Mathematics

2 answers:

ivolga24 [154]1 year ago

6 0

Answer:

Step-by-step explanation:

hello :

-75-(-55) = (-55)-(-35) = (-35)-(-15)=-20

the ratio diff is : d=-20

the nth term is :An=A1+(n-1)d A1 =-15

An=-15+(n-1)(-20) = 15-20n+20

An = -20n+5

26th term when : n=26 A26 = -20(26)+5 = -515

A26= -515

disa [49]1 year ago

5 0

Answer:

-515

Step-by-step explanation:

In this example the first value is −15 and every value afterwards is 20 less.

After substituting these values to above formula, we obtain:

All we have to do is add 25 twenties or 25 x 20 = 500 and -15 - 500 = -515

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Gennadij [26K]

Answer:

$AC=15.1\ ft$

Step-by-step explanation:

we know that

In the right triangle ABC

The function sine of angle 68 degrees is equal to divide the opposite side SB by the hypotenuse AC

$sin(68\°)=\frac{AB}{AC}$

substitute the values and solve for AC

$sin(68\°)=\frac{14}{AC}$

$AC=\frac{14}{sin(68\°)}$

$AC=15.1\ ft$

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2 years ago

Ben says 7 9/100 must be less than 7. 2/10 because 9 hundredths is less than 2 tenths. Do you agree? Draw a line to support your

Marrrta [24]

Yes, I cannot draw a line because this is online. Sorry

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1 year ago

For a package to qualify for a certain postage rate, the sum of its length and girth cannot exceed 85 inches. If the girth is 63

tester [92]

Answer:

Length of package can be = 22 inches

Step-by-step explanation:

Given:

For a package to qualify for a certain postage rate, the sum of its length and girth cannot exceed 85 inches

To find length of package when girth of package is = 63 inches

Solution:

Let length of package be = $l$ inches

Let girth length of package be = $g$ inches

Sum of length and girth of package = $(l+g)$ inches

To qualify for a certain postage rate the sum of length and girth should not exceed 85 inches.

Thus, the inequality representing the situation can be given as:

$l+g\leq 85$

We are given girth of package is = 63 inches

So, inequality to find length would be:

$l+63\leq 85$

Subtracting both sides by 63.

$l+63-63\leq 85-63$

$l\leq 22$ inches

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Thus, the maximum length of package to qualify for the postal rate must be = 22 inches

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2 years ago

Grace is 7 years older than Elena. Grace is also 15 years old.

Alex73 [517]

The 3rd one is the answer

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2 years ago

Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw

NISA [10]

Answer:

(1) Correct option (A).

(2) The probability that Aadi will get Tails is 0.40.

Step-by-step explanation:

The information provided is:

Eric throws a biased coin 10 times. He gets 3 tails.
Sue throw the same coin 50 times. She gets 20 tails.

The probability of tail in both cases is:

$P(T|E)=\frac{3}{10}=0.30$

$P(T|S)=\frac{20}{50}=0.40$

Here,

P (T|E) implies the probability of tail in case of Eric's experiment.

P (T|S) implies the probability of tail in case of Sue's experiment.

(1)

Now, it is given that Aadi is going to throw the coin once.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

In this case we need to compute the probability of Aadi getting Tails in a single toss.

As Sue uses a larger number of trials in the experiment, i.e. n = 50 > 30 times, according to the Central limit theorem, Sue's estimate is best because she throws it .

Thus, the correct option is (A).

(2)

As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:

$P(\text{Aadi will get Tails})=P(T|A)$

$=P(T|S)\\\\=0.40$

Thus, the probability that Aadi will get Tails is 0.40.

8 0

2 years ago

Read 2 more answers