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3 years ago

What is 4 1/8 +2 1/3

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

6 0

Answer: 6 11/24

Step-by-step explanation:

33/8 + 2 1/3

= 33/8 + 7/3

= 155/24

= 6 11/24

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What is 20% off 59.00?

Kaylis [27]

Step 1. convert percent to decimal form -- 20%=0.20

step 2. multiply percent decimal form to whole value -- 0.20*59.00

step 3. ???

step 4. profit

7 0

3 years ago

Read 2 more answers

Micah has 294 songs stored in his phone,which is 70% of the songs that Jorge in his phone.How many songs are stored on Jorge'S p

Ipatiy [6.2K]

Answer:

206

Step-by-step explanation:

70% of 294

70/100 × 294/1

205.8

round it off to 206

8 0

2 years ago

4.) The time X (minutes) for a lab assistant to prepare the equipment for a certain experiment is believed to have a uniform dis

Jet001 [13]

Answer:

$P(35-2 < X 35+2) = P(33< X< 37)= P(X$

And using the cumulative distribution function we got:

$P(35-2 < X 35+2) = P(33< X< 37)= P(X$

The probability that preparation is within 2 minutes of the mean time is 0.134

Step-by-step explanation:

For this case we define the following random variable X= (minutes) for a lab assistant to prepare the equipment for a certain experiment , and the distribution for X is given by:

$X \sim Unif (a= 20, b =50)$

The cumulative distribution function is given by:

$F(x) = \frac{x-a}{b-a} , a \leq X \leq b$

The expected value is given by:

$E(X) = \frac{a+b}{2} = \frac{20+50}{2}=35$

And we want to find the following probability:

$P(35-2 < X 35+2) = P(33< X< 37)$

And we can find this probability on this way:

$P(35-2 < X 35+2) = P(33< X< 37)= P(X$

And using the cumulative distribution function we got:

$P(35-2 < X 35+2) = P(33< X< 37)= P(X$

The probability that preparation is within 2 minutes of the mean time is 0.134

8 0

3 years ago

A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.31 lb, the mean of all of the weight

a_sh-v [17]

Answer:

a) The difference is of 3.222 lbs.

b) 1.64 standard deviations.

c) Z = 1.64

d) Not significant, as the z-score of 1.64 is between -2 and 2.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

The mean of all of the weights is x=2.088 lb, and the standard deviation of the weights is s=1.968 lb.

This means that $\mu = 2.088, \sigma = 1.968$

a. What is the difference between the weight of 5.31 lb and the mean of the weights?

This is $X - \mu = 5.31 - 2.088 = 3.222$

The difference is of 3.222 lbs.

b. How many standard deviations is that [the difference found in part (a)]?

This is the z-score. So

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

$Z = \frac{5.31 - 2.088}{1.968}$

$Z = 1.64$

1.64 standard deviations.

c. Convert the weight of 5.31 lb to a z score.

Z = 1.64, as found above.

d. If we consider weights that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the weight of 5.31 lb significant?

Not significant, as the z-score of 1.64 is between -2 and 2.

5 0

3 years ago

Solve x2 − 7x + 12 = 0.<br> x = −3, x = −4<br> x = 3, x = 4<br> x = 2, x = 6<br> x = −2, x = −6

UNO [17]

Answer:

x=4, x=3

B is correct.

Step-by-step explanation:

Given: $x^2-7x+12=0$

Using middle term splitting factor the left side equation.

$x^2-4x-3x+12=0$

$(x-4)(x-3)=0$

Equate each factor to 0 and solve for x

x-4=0 or x-3=0

x=4 and x=3

Hence, The solution of the equation is 4 or 3

6 0

2 years ago