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3 years ago

5. Marcy's breakfast table has a square top with an area of 36 square feet. 1 point

1 answer:

5 0

D, 8.5

a squared + b squared = c squared for the sides and hypotenuse of the triangle.

6^2 + 6^2 = c^2
36 + 36 = c^2
72 = c^2
c = square root of 72, 8.49

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Bob bought an investment at $550 and sold it at $723. What was his

Shalnov [3]

The correct answe would be C...

7 0

3 years ago

Read 2 more answers

Leslie needs 324 inches of fringe to put around the edge of a tablecloth.The fringe comes in lengths of 10 yards.Of Leslie buys

Delicious77 [7]

324 inches = 27 feet.

10 yards = 30 feet

30 - 27 = 3.

Final answer: 3 feet of fringe will be left over.

P.S, could you mark this the brainly answer? :)

3 0

3 years ago

1. Approximate the given quantity using a Taylor polynomial with n3.

Jet001 [13]

Answer:

See the explanation for the answer.

Step-by-step explanation:

Given function:

$f(x) = x^{1/4}$

The n-th order Taylor polynomial for function f with its center at a is:

$p_{n}(x) = f(a) + f'(a) (x-a)+\frac{f''(a)}{2!} (x-a)^{2} +...+\frac{f^{(n)}a}{n!} (x-a)^{n}$

As n = 3 So,

$p_{3}(x) = f(a) + f'(a) (x-a)+\frac{f''(a)}{2!} (x-a)^{2} +...+\frac{f^{(3)}a}{3!} (x-a)^{3}$

$p_{3}(x) = f(a) + f'(a) (x-a)+\frac{f''(a)}{2!} (x-a)^{2} +...+\frac{f^{(3)}a}{6} (x-a)^{3}$

$p_{3}(x) = a^{1/4} + \frac{1}{4a^{ 3/4} } (x-a)+ (\frac{1}{2})(-\frac{3}{16a^{7/4} } ) (x-a)^{2} + (\frac{1}{6})(\frac{21}{64a^{11/4} } ) (x-a)^{3}$

$p_{3}(x) = 81^{1/4} + \frac{1}{4(81)^{ 3/4} } (x-81)+ (\frac{1}{2})(-\frac{3}{16(81)^{7/4} } ) (x-81)^{2} + (\frac{1}{6})(\frac{21}{64(81)^{11/4} } ) (x-81)^{3}$

$p_{3} (x)$ = 3 + 0.0092592593 (x - 81) + 1/2 ( - 0.000085733882) (x - 81)² + 1/6

(0.0000018522752) (x-81)³

$p_{3} (x)$ = 0.0092592593 x - 0.000042866941 (x - 81)² + 0.00000030871254

(x-81)³ + 2.25

Hence approximation at given quantity i.e.

x = 94

Putting x = 94

$p_{3} (94)$ = 0.0092592593 (94) - 0.000042866941 (94 - 81)² +

0.00000030871254 (94-81)³ + 2.25

= 0.87037 03742 - 0.000042866941 (13)² + 0.00000030871254(13)³ +

2.25

= 0.87037 03742 - 0.000042866941 (169) +

0.00000030871254(2197) + 2.25

= 0.87037 03742 - 0.007244513029 + 0.0006782414503 + 2.25

$p_{3} (94)$ = 3.113804102621

Compute the absolute error in the approximation assuming the exact value is given by a calculator.

Compute $\sqrt[4]{94}$ as $94^{1/4}$ using calculator

Exact value:

$E_{a}$ (94) = 3.113737258478

Compute absolute error:

Err = | 3.113804102621 - 3.113737258478 |

Err (94) = 0.000066844143

If you round off the values then you get error as:

|3.11380 - 3.113737| = 0.000063

Err (94) = 0.000063

If you round off the values up to 4 decimal places then you get error as:

|3.1138 - 3.1137| = 0.0001

Err (94) = 0.0001

4 0

3 years ago

3(4x+8) + 3(2x - 6)<br> Match the equivalent expressions

slamgirl [31]

Answer:=18x+6

Step-by-step explanation:

3(4x+8)+3(2x-6)

12x+24+6x-18

12x+6x+24-18

18x+6

5 0

3 years ago

A survey showed that 79% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 14 adults are

Alexxandr [17]

Answer:

$P(X \leq 1) = P(X=0) +P(X=1)$

And if we find the indidivual probabilities we got:

$P(X=0)=(14C0)(0.79)^0 (1-0.79)^{14-0}=3.24x10^{-10}$

$P(X=1)=(14C1)(0.79)^1 (1-0.79)^{14-1}=1.71*10^{-8}$

And replacing we got:

$P(X \leq 1) = 1.74x10^{-8}$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=14, p=0.79)$

For the first part we want this probability:

$P(X \leq 1) = P(X=0) +P(X=1)$

And if we find the indidivual probabilities we got:

$P(X=0)=(14C0)(0.79)^0 (1-0.79)^{14-0}=3.24x10^{-10}$

$P(X=1)=(14C1)(0.79)^1 (1-0.79)^{14-1}=1.71*10^{-8}$

And replacing we got:

$P(X \leq 1) = 1.74x10^{-8}$

4 0

3 years ago