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Anastaziya [24]
3 years ago
11

Solve:

Mathematics
2 answers:
zavuch27 [327]3 years ago
7 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{3}{4}  \:  \: or \:  \:0.75 }}}}}

Step-by-step explanation:

\sf{x -  \frac{5}{8}  =  \frac{1}{8} }

L.C.M of 1 and 8 = 8

\longrightarrow{ \sf{ \frac{x \times 8 - 5}{8}  =  \frac{1}{8} }}

\longrightarrow{ \sf{ \frac{8x - 5}{8}  =  \frac{1}{8}}}

Do cross multiplication

\longrightarrow{ \sf{8(8x - 5) = 1 \times 8}}

\longrightarrow{ \sf{64x - 40 = 8}}

Move 40 to right hand side and change its sign

\longrightarrow{ \sf{64x = 8 + 40}}

Add the numbers : 40 and 8

\longrightarrow{ \sf{64x = 48}}

Divide both sides by 64

\longrightarrow{ \sf{ \frac{64x}{64}  =  \frac{48}{64} }}

Calculate

\longrightarrow{ \sf{ \frac{3}{4} }}

Hope I helped!

Best regards! :D

Murljashka [212]3 years ago
4 0

Steps to solve:

x - 5/8 = 1/8

~Add 5/8 to both sides

x = 6/8 or x = 3/4

Best of Luck!

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nalin [4]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Which function could be represented by the graph on the coordinate plane?
spin [16.1K]

Answer:

\boxed{f(x)=(x-8)^2-6}

Step-by-step explanation:

The graph in the attachment is a quadratic function whose vertex is in the fourth quadrant.

The coordinates of a point in the fourth quadrant is of the form (x,-y)

Considering the options, the vertex must have coordinates (h,k)=(8,-6) and a=1.


The quadratic function in vertex form is written as;

f(x)=a(x-h)^2+k

Therefore the equation of the quadratic function is;

f(x)=(x-8)^2-6


The correct answer is option D


8 0
3 years ago
Each contestant in the Hunger Games must be trained to compete. Suppose that the time it takes to train a contestant has mean 5
LiRa [457]

Answer:

11.51% probability that it will take less than 450 days to train all the contestants.

Step-by-step explanation:

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

Normal probability distribution

When the distribution is normal, we use 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 the sum of n variables, the mean is \mu*n and the standard deviation is s = \sigma\sqrt{n}

In this question:

n = 100, \mu = 100*5 = 500, s = 4\sqrt{100} = 40

Approximate the probability that it will take less than 450 days to train all the contestants.

This is the pvalue of Z when X = 450.

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

By the Central Limit Theorem

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

Z = \frac{450 - 500}{40}

Z = -1.2

Z = -1.2 has a pvalue of 0.1151

11.51% probability that it will take less than 450 days to train all the contestants.

8 0
3 years ago
Solve: x/3+1/4 =1/3 . Explain your work.
mojhsa [17]

Steps to solve:

x/3 + 1/4 = 1/3

~Subtract 1/4 to both sides

x/3 = 1/12

~Multiply 3 to both sides

x = 1/4

Best of Luck!

5 0
2 years ago
What are all the cheat codes for shreadsauce
Arisa [49]

Answer:

superspin

lowgravity

dontcrash

Step-by-step explanation:

thats all they have so far

7 0
2 years ago
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