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Eddi Din [679]
3 years ago
15

A rope is cut into three pieces of different lengths. The first piece is of length x meters, The length of the second piece is 2

meters more than twice the length of the first piece. The length of the third piece is thrice the length of the second piece.Pls answer fast pls pls pls pls pls pls pls
Mathematics
1 answer:
Iteru [2.4K]3 years ago
5 0

Answer:

first piece = 5 m

second piece = 2(5) + 2 = 12 m

third piece = 3(2x + 2) = 6(5) + 6 = 36 m

Step-by-step explanation:

The question is incomplete, the length of the actual rope is unknown but it should be given . Let us assume the length of the rope is 53 meters.

The rope is cut into 3 pieces of different length.

first piece = x

second piece = 2x + 2

third piece = 3(2x + 2) = 6x + 6

Since the length of the actual rope is assumed to be 53 meters .The length of the first piece, second piece and third piece can be calculated as follows.

we add the length of the pieces to get the actual length of each piece. Therefore,

x + 2x + 2 + 6x + 6 = 53

collect like terms

9x + 8 = 53

9x = 53 - 8

9x = 45

x = 45/9

x = 5 meters

first piece = 5 m

second piece = 2(5) + 2 = 12 m

third piece = 3(2x + 2) = 6(5) + 6 = 36 m

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Hi guys, I really need help, I reckon this is easy for you but I'm low-key disabled and need help with this question so please h
serious [3.7K]

Answer:

15, 8, 66%, 40

Step-by-step explanation:

Hi! ok so in ogive charts its really about finding the corresponding data points and sometimes it's a lot of estimation so these answers may not be exact but they'll be close.

In the image, you'll see a bunch of lines, basically what youre doing is finding the corresponding frequency of the dollars or vice versa.

<em>question a)</em>

50 dollars or less, so the area of 50 dollars and below that.

from the chart we can see that this lines up to around 15 people.

<em>question b)</em>

now this one is a little bit more challenging, but you can use the same process as you did for the first question. so we can see who spent 100 dollars or less. this value is around 42 (just from looking at the graph)

<em>we know if you didn't spend 100 dollars or less, you must have spent more than that. </em>

so take 50-42=8

around 8<u> people</u> spent 100 dollars or more.

<em>question c)</em>

basically the same question as the first but more calculations are involved. from the graph we can see around 33 people spent 80 dollars or less. but the question is asking the percentage. so what percent of 50 (people) is 33.

33/50 = 0.66

around 66%

<em>question d)</em>

80th percentile means less than or equal to 80% of the frequencies/the data. so we first need to find what value that is in terms of frequency.

50 times 0.8 = 40

40 people

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8 0
3 years ago
Which is the graph of the function f(x) = one-halfx2 + 2x – 6?
guapka [62]

Answer:

1/2 x^2 + 2x - 6 = 0

(1/2 x - 1)(x + 6) = 0

zeroes are 2 and -6

so the graph intersects x axis at -6 and 2  

The only one to do that is diagram A  

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
. A triangle has side lengths of 8, 7, and 14. To the nearest tenth of a degree find the measure of the angle opposite the side
4vir4ik [10]

Given:

The measure of three sides of a triangle are 8, 7 and 14.

To find:

The measure of the angle opposite the side of length 8.

Solution:

According to the Law of Cosine:

\cos A=\dfrac{b^2+c^2-a^2}{2bc}

Let a=8, b=7 and c=14, then by using Law of Cosine, we get

\cos A=\dfrac{7^2+14^2-8^2}{2(7)(14)}

\cos A=\dfrac{49+196-64}{196}

\cos A=\dfrac{181}{196}

Taking cos inverse on both sides.

A=\cos^{-1}\dfrac{181}{196}

A=22.561328

A\approx 22.6

Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.

7 0
3 years ago
Suppose a continuous probability distribution has an average of μ=35 and a standard deviation of σ=16. Draw 100 times at random
yulyashka [42]

Answer:

To use a Normal distribution to approximate the chance the sum total will be between 3000 and 4000 (inclusive), we use the area from a lower bound of 3000 to an upper bound of 4000 under a Normal curve with its center (average) at 3500 and a spread (standard deviation) of 160 . The estimated probability is 99.82%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For sums, we have that the mean is \mu*n and the standard deviation is s = \sigma \sqrt{n}

In this problem, we have that:

\mu = 100*35 = 3500, \sigma = \sqrt{100}*16 = 160

This probability is the pvalue of Z when X = 4000 subtracted by the pvalue of Z when X = 3000.

X = 4000

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{4000 - 3500}{160}

Z = 3.13

Z = 3.13 has a pvalue of 0.9991

X = 3000

Z = \frac{X - \mu}{s}

Z = \frac{3000 - 3500}{160}

Z = -3.13

Z = -3.13 has a pvalue of 0.0009

0.9991 - 0.0009 = 0.9982

So the correct answer is:

To use a Normal distribution to approximate the chance the sum total will be between 3000 and 4000 (inclusive), we use the area from a lower bound of 3000 to an upper bound of 4000 under a Normal curve with its center (average) at 3500 and a spread (standard deviation) of 160 . The estimated probability is 99.82%.

5 0
3 years ago
Louie is trying to find a rectangular canvas for his art project. Its height must measure 18 inches and form a 48° angle with th
KengaRu [80]

Answer:

27 inches

Step-by-step explanation:

To find the length of the diagonal, we just need to use the cosine relation of the 48° angle.

The adjacent side to the angle is the height of the canvas, and the hypotenuse formed is the diagonal of the canvas. So, we have that:

cos(48) = height / diagonal

0.6691 = 18 / diagonal

diagonal = 18 / 0.6691 = 26.9 inches

Rounding to the nearest inch, the diagonal of the canvas measures 27 inches

8 0
3 years ago
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