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3 years ago

I need help with this math problem

Mathematics

2 answers:

aalyn [17]3 years ago

7 0

Yes, try the link above

Novay_Z [31]3 years ago

3 0

Answer:

Go on Desmos

Step-by-step explanation:

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Solve the inequality.2/5 ≥ w -3/5 A. w ≤1/2 B. w ≤ 1 C. w ≥ 1 D. w ≤1/5

Sunny_sXe [5.5K]

We must solve <span>2/5 ≥ w -3/5. Note that w is already +, so leave it where it now is. Add 3/5 to both sides of this inequality:

2/5 + 3/5 </span>≥ w - 3/5 + 3/5

Then: 1 ≥ w, or w ≤ 1 (answer)

6 0

4 years ago

The probability of winning on a slot machine is 5%. If a person plays the machine 500 times, find the probability of winning at

tamaranim1 [39]

Answer:

Between 0.01 and 0.20

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 500, p = 0.05$

$\mu = E(X) = np = 500*0.05 = 25$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{500*0.05*0.95} = 4.8734/tex]
Find the probability of winning at least 30 times.Using continuity correction, this is [tex]P(X \geq 30 - 0.5) = P(X \geq 29.5)$ . So this is 1 subtracted by the pvalue of Z when X = 29.5. Then

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

$Z = \frac{29.5 - 25}{4.8734}$

$Z = 0.92$

$Z = 0.92$ has a pvalue of 0.8212

1 - 0.8212 = 0.1788

So the correct option is:

Between 0.01 and 0.20

7 0

3 years ago

Casey wants to buy some instruments for his niece and nephew. He has $40 to spend. Based on the prices listed below, what is the

Maksim231197 [3]

$37 because when uu add the tambourine and xylophone uu get $37.45 but we have to round to the nearest dollar and the nearest dollar is 7 and the number next to it is not 5 or higher so we turn it to 0’s and uu get $37 .

6 0

3 years ago

A 22.4 kg object is accelerating at 1.40 m/s what net force is applied to the object

bezimeni [28]

Answer:

F=ma

F=22.4*1.40=31.36

7 0

3 years ago

Suppose that 11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to

levacccp [35]

P = 0.11
1-p = .89
n = 200

mean = n*p = 22
std dev = n*sqrt(p(1-p)/n) = 4.425

find z values for standard normal distribution
Z= (30-22)/4.425 = 1/808
look up table to find P(Z less than 1.808) which is same P(x less than 30)

for 2nd part, you need 2 Z values
Z1 = (25-22) / 4.425 = 0.678
Z2 = (15-22) / 4.425 = -1.58

P(-1.58 less than Z less than 0.678) = P(Z less than .678) - P(Z less than - 1.58)

5 0

4 years ago

I need help with this math problem ​

I need help with this math problem