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3 years ago

Neeeeeeeeeeeeeeeed Helppppppppppppp

Mathematics

1 answer:

allsm [11]3 years ago

6 0

Because a ║b you can say:
-60 -2x = -70 -4x ⇒ -2x + 4x = -70 + 60 ⇒ 2x = -10 ⇒ x = -5 :)))
i hope this is helpful
have a nice day

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Jack rolls a number cube twice. What is the probability that the sum of the 2 rolls is less than 8 given that the first roll is

disa [49]

If the first roll is a 4, the possibilities to add less than 8 are that the second cube roll is 1, 2 or 3.

These are 3 different events out of 6 possilbe ones, which is 3 / 6 = 1 / 2; i.e. half of times.

Then the answer is the first option: 1 / 2

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3 years ago

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Question 4 of 25

Gnoma [55]

Answer:

Step-by-step explanation:

We are looking for P(58 < x < 64). We need to find the percentage to the left of the z-scores for each of these numbers. To find the z scores, use the formula:

$z=\frac{x_i-\bar{x}}{\sigma}$

$z=\frac{58-62}{4}$ which gives us a z-score of -1. The percentage of numbers to the left of a z-score of -1 is .1586553

Now for the other z-score:

$z=\frac{64-64}{4}$ which gives us a z-score of .5. The percentage of numbers to the left of a z-score of .5 is .69146246

The lower percentage subtracted from the higher gives the area in question:

.69146246 - .1586553 = .53280716, or as a percentage, 53.3%, choice A.

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3 years ago

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soldi70 [24.7K]

Answer: i believe its a x=2

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3 years ago

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Radon: The Problem No One Wants to Face" is the title of an article appearing in Consumer Reports. Radon is a gas emitted from t

brilliants [131]

Answer:

a) $\bar{x}$ =4.63 md=4.55 mo= 1.9 b) Sample Standard Deviation≈ 2.58 Coefficient of Variation=55.72% Sample Range=6.9

Step-by-step explanation:

Mean

$a)\bar{x}=\frac{1.9+ 2.3+ 5.7+ 5.2+ 1.9+ 8.8+ 3.9+ 7.3}{8} =\frac{37}{8}=4.625=\approx 4.63$

For the Median, we have to order the entries. So, ordering it goes:

1.9 1.9 2.3 3.9 5.2 5.7 7.3 8.8

Since we have even entries $\frac{\frac{n}{2}+\frac{n}{2} +1}{2}=\frac{4th+5th}{2}=\frac{3.9+5.2}{2}=4.55$

mode

The mode for this data 1.9 1.9 2.3 3.9 5.2 5.7 7.3 8.8 is 1.9

Sample Standard Deviation

Here it is the formula to calculate it:

$_{x}=\sqrt{\frac{\sum (x_{i}-\bar{x})^{2}}{n-1}}\\ S_{x}=\sqrt{\frac{46.855}{7}}\approx 2.58$

Coefficient of Variation

CV is the quocient between sample Standard deviation over Mean and it is used to make comparisons.

$CV=\frac{S_x}{\bar{x}}*100%=\frac{2.58}{4.63} \approx 55.72%$

Range

The difference between the highest and the lowest value of this sample

8.8-1.9=6.9

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3 years ago

Use the Midpoint Rule with n = 10 to approximate the length of c(t) = (5 + sin(4t), 6 + sin(7t)) for 0 ≤ t ≤ 2π. (Round your ans

sukhopar [10]

Answer:

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Step-by-step explanation:

A differential of length in terms of t will be ...

dL(t) = √(x'(t)^2 +y'(t)^2)

where ...

x'(t) = 4cos(4t)

y'(t) = 7cos(7t)

The length of c(t) will be the integral of this differential on the interval [0, 2π].

Dividing that interval into 10 equal pieces means each one has a width of (2π)/10 = π/5. The midpoint of pieces numbered 1 to 10 will be ...

(π/5)(n -1/2), so the area of the piece will be ...

sub-interval area ≈ (π/5)·dL((π/5)(n -1/2))

It is convenient to let a spreadsheet or graphing calculator do the function evaluation and summing of areas.

The attachment shows the curve c(t) whose length we are estimating (red), and the differential length function (blue) we are integrating. We use the function p(n) to compute the midpoint of the sub-interval. The sum of sub-interval areas is shown as 34.43.

The length of the curve is estimated to be 34.43.

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3 years ago