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3 years ago

Write 8/3 as a decimal

Mathematics

2 answers:

andrew-mc [135]3 years ago

8 0

The decimal is 2.66 repeating

notka56 [123]3 years ago

4 0

8/3 turns into 2.666666667.
Hope that helps!

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Your company manufactures hot water heaters. The life spans of your product are known to be normally distributed with a mean of

Oksana_A [137]

Answer:

You should claim 10.5325 years on your warranty.

Step-by-step explanation:

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.

In this problem, we have that:

$\mu = 13, \sigma = 1.5$

Want's to replace no more than 5% of the products.

This means that the warranty should be 5th percentile, that is, the value of X when Z has a pvalue of 0.05. So X when Z = -1.645.

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

$-1.645 = \frac{X - 13}{1.5}$

$X - 13 = -1.645*1.5$

$X = 10.5325$

You should claim 10.5325 years on your warranty.

6 0

3 years ago

G and H are mutually exclusive events.<br> • P(G) = 0.5<br> • P(H) = 0.3<br> Find<br> P(H OR G).

Sedaia [141]

Answer:

0.8

Step-by-step explanation:

Mutually exclusive:

P(G U H) = P(G) + P(H)

Because no intersection

P(G U H) = 0.5 + 0.3 = 0.8

6 0

3 years ago

Problem 1: Joseph is going to buy a cell phone plan on his own. The most important thing for him is being able to text. So, he h

andriy [413]

Step-by-step explanation: lol like a dozen

4 0

3 years ago

What is the graph of the inequality 3x+2y>-5

Doss [256]

Answer:

The graph with solution is shown below.

Step-by-step explanation:

We need to find the $x-intercept$ and $y-intercept$ for given equation.

For $x-intercept$ , substitute $y=0$

Considering inequality sign as equality and simplifying,

$3x+2y=-5\\3x+0=-5\\x=-\frac{5}{3}$ , point is $(-\frac{5}{3} ,0)$

Similarly,

For $y-intercept$ , substitute $x=0$

We get,

$3x+2y=-5\\0+2y=-5\\y=-5/2$ , point is $(0,-\frac{5}{2})$

We locate this two points on the graph now and join them.

The joining line will be dotted as the inequality has just 'greater than' symbol. The region above the dotted line is the solution to graph.

4 0

3 years ago

Need help simple explanation if possible

photoshop1234 [79]

Answer:

m < A = 60º

m < B = 30º

Step-by-step explanation:

The given sides on this triangle are: 6, $6\sqrt{3}$ , and 12

Any triangle with the angles of 30º - 60º - 90º always has side lengths in this proportion:

x, $x\sqrt{3}$ , 2x

We can line this up with the given sides. If x is 6, then 2x would be 12.

x : $x\sqrt{3}$ : 2x = 6 : $6\sqrt{3}$ : 12

Angle B is across from 6, the shortest side. That also means that it corresponds to x, or the smallest angle in the proportion, 30º.

m < B = 30º

Solving for < A:

Method 1) Sum of Angles in a Triangle

Since we already know that one angle is right and therefore 90º and m < B is 30º, we can subtract these from the total sum of angle measures in a triangle to get the last angle, < A.

180º - 90º - 30º = 60º

m < A = 60º

Method 2) Using the second part of the proportion

Since m < A is across from the second largest side, we know that it is equal to $x\sqrt{3}$ ( $6\sqrt{3}$ in this question) or 60º in the angle proportion.

This means that m < A = 60º

Let me know if you have any questions!

4 0

2 years ago

Read 2 more answers