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Levart [38]
3 years ago
7

Is this wrong If so please explain why or why not

Mathematics
1 answer:
vovangra [49]3 years ago
3 0

Answer:

2: The perimeter of the base is 37 units.

Step-by-step explanation:

1. A = LW = 21 * 16 = 336 units^2     True

2. P = 2(L + W) = 2(21 + 16) = 2(37) = 74 units      False

3. H = 21 units     True

4. SA = 2LW + 2H(L + W) = 2(21)(16) + 2(21)(21 + 16) = 2226 units^2     True

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Is 1/3, 2/3, 4/3, 8/3, 16/3 arithmetic sequence
11111nata11111 [884]

The given sequence is not arithmetic sequence

<em><u>Solution:</u></em>

Given sequence is:

\frac{1}{3} , \frac{2}{3} , \frac{4}{3} , \frac{8}{3} , \frac{16}{3}

We have to find if the above sequence is arithmetic sequence or not

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

<em><u>Here in the given sequence</u></em>

\text{ first term } = a_1 = \frac{1}{3}\\\\\text{ second term } = a_2 = \frac{2}{3}\\\\\text{ third term } = a_3 = \frac{4}{3}\\\\\text{ fourth term } = a_4 = \frac{8}{3}\\\\\text{ fifth term } = a_5 = \frac{16}{3}

<em><u>Let us find the difference between terms</u></em>

a_2 - a_1 = \frac{2}{3} - \frac{1}{3} = \frac{1}{3}

a_3 - a_2 = \frac{4}{3} - \frac{2}{3} = \frac{2}{3}

a_4 - a_3 = \frac{8}{3} - \frac{4}{3} = \frac{4}{3}

a_5 - a_4 = \frac{16}{3} - \frac{8}{3} = \frac{8}{3}

Thus the difference between terms is not constant

So the given sequence is not arithmetic sequence

5 0
3 years ago
In studies for a​ medication, 3 percent of patients gained weight as a side effect. Suppose 643 patients are randomly selected.
timofeeve [1]

Part a)

It was given that 3% of patients gained weight as a side effect.

This means

p = 0.03

q = 1 - 0.03 = 0.97

The mean is

\mu  = np

\mu = 643 \times 0.03 = 19.29

The standard deviation is

\sigma =  \sqrt{npq}

\sigma =  \sqrt{643 \times 0.03 \times 0.97}

\sigma =4.33

We want to find the probability that exactly 24 patients will gain weight as side effect.

P(X=24)

We apply the Continuity Correction Factor(CCF)

P(24-0.5<X<24+0.5)=P(23.5<X<24.5)

We convert to z-scores.

P(23.5 \: < \: X \: < \: 24.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \:  \frac{24.5 - 19.29}{4.33} ) \\  = P( 0.97\: < \: z \: < \:  1.20) \\  = 0.051

Part b) We want to find the probability that 24 or fewer patients will gain weight as a side effect.

P(X≤24)

We apply the continuity correction factor to get;

P(X<24+0.5)=P(X<24.5)

We convert to z-scores to get:

P(X \: < \: 24.5) = P(z \: < \:  \frac{24.5 - 19.29}{4.33} )  \\ =   P(z \: < \: 1.20)  \\  = 0.8849

Part c)

We want to find the probability that

11 or more patients will gain weight as a side effect.

P(X≥11)

Apply correction factor to get:

P(X>11-0.5)=P(X>10.5)

We convert to z-scores:

P(X \: > \: 10.5) = P(z \: > \:  \frac{10.5 - 19.29}{4.33} )  \\ = P(z \: > \:  - 2.03)

= 0.9788

Part d)

We want to find the probability that:

between 24 and 28, inclusive, will gain weight as a side effect.

P(24≤X≤28)=

P(23.5≤X≤28.5)

Convert to z-scores:

P(23.5  \:  <  \: X \:  <  \: 28.5) = P( \frac{23.5 - 19.29}{4.33}   \:  <  \: z \:  <  \:  \frac{28.5 - 19.29}{4.33} ) \\  = P( 0.97\:  <  \: z \:  <  \: 2.13) \\  = 0.1494

3 0
3 years ago
Three evaluating expression Equation
Feliz [49]

Answer:

³y+7-6x=16

Step-by-step explanation:

this is an example of a 3 evaluating expression equation. *I think*

7 0
3 years ago
if your family just bought an above ground hot tub . the hot tub has a radius of 4 feet and is enclosed in a square of Wood pane
Monica [59]
32 feet. Since the radius is 4 feet, the diameter would be 8 feet, and the diameter is also the perimeter of one side of the wood paneling. Add up all of those together and you get 32 feet!
6 0
3 years ago
Which is a solution for the equation 3x + 13 = 73?
sweet [91]

Answer:

x=20

Step-by-step explanation:

73-13=60

60÷3=20

7 0
2 years ago
Read 2 more answers
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