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Novay_Z [31]
2 years ago
14

Staircases were each step is 28 cm long and rises 18 cm so people don’t trip every staircase has a string or a diagonal support

connecting all the steps a certain staircase will have six steps what is the length of the stringer for the staircase
Mathematics
1 answer:
Gelneren [198K]2 years ago
3 0

Answer:

Hi how are you doing today Jasmine

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6,859^1/3 can be written as
zloy xaker [14]

Answer:

∛6859   ( = 19).

Step-by-step explanation:

6,859^1/3 = ∛6859  (the cube root of 6859).

Using a calculator we see that this = 19.

4 0
3 years ago
The average score of all golfers for a particular course has a mean of 75 and a standard deviation of 4. Suppose 64 golfers play
Vilka [71]

Answer:

0.0228 = 2.28% probability that the average score of the 64 golfers exceeded 76.

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.

In this problem, we have that:

\mu = 75, \sigma = 4, n = 64, s = \frac{4}{\sqrt{64}} = 0.5

Find the probability that the average score of the 64 golfers exceeded 76.

This is 1 subtracted by the pvalue of Z when X = 64.

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

By the Central Limit Theorem

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

Z = \frac{76 - 75}{0.5}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that the average score of the 64 golfers exceeded 76.

6 0
3 years ago
What is the slope of a line perpendicular to the line whose equation is 4x+5y=354x+5y=35. Fully simplify your answer.
IrinaK [193]

The perpendicular slope is expressed as the negative reciprocal of the slope or − 1 m. In this scenario, the slope, or m, is −4 so the slope of the perpendicular line is − 1 −4 which simplifies to 1 4

5 0
1 year ago
What is the equation of the line that passes through the points (-2, 1) and<br> (-6, -5)?
Paha777 [63]

Answer:

y=3/2x+4

Step-by-step explanation:

1.find the slope

y2-y1/x2-x1

-5-1/-6-(-2)

-5-1/-6+2

-6/-4

3/2

slope (m) is 3/2

2.y-y1=m(x-x1)

y-1=3/2(x-(-2))

y-1=3/2(x+2)

y-1=3/2x+6/2

y=3/2x+6/2+1

y=3/2x+8/2

y=3/2x+4

4 0
3 years ago
Compute the mean deviation of the following set of data; 9,6, 3, 9, 7, 2, 1, 5, 6, 8.
vodomira [7]

Answer:

5.6

Step-by-step explanation:

( 9 + 6 + 3 + 9 + 7 + 2 + 1 + 5 + 6 + 8 ) / 10

= 56 / 10

= 5.6

3 0
3 years ago
Read 2 more answers
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