MATHEMATICS COLLEGE

Can answer this
1/2 + 2/5=​

Answers

Answer 1
Answer:

Answer:

9/10 or 0.9

Step-by-step explanation:

1/2 + 2/5 =

1 × 5 + 2 × 2/2 × 5

5 + 4 = 10

9/10 or 0.9

InFraction=9/10

InDecimal=0.9

Thus,The answer is 9/10 or 0.9

-TheUnknownScientist
Answer 2
Answer:

Answer:

9/10 or 0.9.

Step-by-step explanation:

1/2 + 2/5 =

5/10 + 4/10 =

5 + 4/10 =

9/10

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A doctor at a local hospital is interested in estimating the birth weight of infants. How large a sample must she select if she desires to be 90% confident that her estimate is within 4 ounces of the true mean

Answers

Answer:

The minimum sample size needed is n = ((1.96√(\sigma))/(4))^2. If n is a decimal number, it is rounded up to the next integer. \sigma is the standard deviation of the population.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = (1 - 0.9)/(2) = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.645.

Now, find the margin of error M as such

M = z(\sigma)/(√(n))

In which \sigma is the standard deviation of the population and n is the size of the sample.

How large a sample must she select if she desires to be 90% confident that her estimate is within 4 ounces of the true mean?

A sample of n is needed, and n is found when M = 4. So

M = z(\sigma)/(√(n))

4 = 1.96(\sigma)/(√(n))

4√(n) = 1.96√(\sigma)

√(n) = (1.96√(\sigma))/(4)

(√(n))^2 = ((1.96√(\sigma))/(4))^2

n = ((1.96√(\sigma))/(4))^2

The minimum sample size needed is n = ((1.96√(\sigma))/(4))^2. If n is a decimal number, it is rounded up to the next integer. \sigma is the standard deviation of the population.

Triangle EFG with the coordinates E (-3,5), F(-3, 1), (1, 1) is translated 2 units left and 4 units up. What is the y-value of the coordinate pair for point E?

Answers

The y-value for the E coordinate after the translation of the points will be 9.

What is translation?

The process of changing the location of the image on the coordinate system will be known as the translation.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that triangle, EFG with the coordinates E (-3,5), F(-3, 1), (1, 1) is translated as 2 units left and 4 units up.

E(-3,5) translated 2 units left would be (-5,5), then translated 4 units up would be (-5,9).

Therefore, the y-value for the E coordinate after the translation of the points will be 9.

To know more about translation follow

brainly.com/question/1574635

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Answer:

the y value would be 9

full translation(-5,9)

Step-by-step explanation:

E(-3,5) translated 2 units left would be (-5,5), then translated 4 units up would be (-5,9)

Two trains leave stations 288 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 95 miles per hour. How long will it take for the two trains to meet?

Answers

Answer:To find out how long it will take for the two trains to meet, you can use the concept of relative speed. When two objects are moving toward each other, their relative speed is the sum of their individual speeds.

In this case, one train is traveling at 85 miles per hour, and the other is traveling at 95 miles per hour. So, their relative speed is:

Relative Speed = 85 mph + 95 mph = 180 mph

Now that you know the relative speed of the two trains, you can use the formula:

Time = Distance / Speed

The distance they need to cover to meet is 288 miles, and their relative speed is 180 mph. Plug these values into the formula:

Time = 288 miles / 180 mph

Time = 1.6 hours

So, it will take 1.6 hours for the two trains to meet. To express this in minutes, you can multiply by 60:

1.6 hours * 60 minutes/hour = 96 minutes

Therefore, it will take 96 minutes for the two trains to meet.

Step-by-step explanation:

The following measurements were recorded for the drying time, in hours, of a certain brand of latex paint: 3.4, 2.5, 4.8, 2.9, 3.6, 2.8, 3.3, 5.6, 3.7, 2.8, 4.4, 4.0, 5.2, 3.0, 4.8. Assuming that the measurements represent a random sample from a normal population, find a 95% prediction interval for the drying time for the next trial of the paint.

Answers

Answer:

The 95% confidence interval for the mean is (3.249, 4.324).

We can predict with 95% confidence that the next trial of the paint will be within 3.249 and 4.324.

Step-by-step explanation:

We have to calculate a 95% confidence interval for the mean.

As the population standard deviation is not known, we will use the sample standard deviation as an estimation.

The sample mean is:

M=(1)/(15)\sum_(i=1)^(15)(3.4+2.5+4.8+2.9+3.6+2.8+3.3+5.6+3.7+2.8+4.4+4+5.2+3+4.8)\n\n\n M=(56.8)/(15)=3.787

The sample standard deviation is:

s=\sqrt{(1)/((n-1))\sum_(i=1)^(15)(x_i-M)^2}\n\n\ns=\sqrt{(1)/(14)\cdot [(3.4-(3.787))^2+(2.5-(3.787))^2+(4.8-(3.787))^2+...+(4.8-(3.787))^2]}\n\n\ns=\sqrt{(1)/(14)\cdot [(0.15)+(1.66)+(1.03)+...+(1.03)]}

s=\sqrt{(13.197)/(14)}=√(0.9427)\n\n\ns=0.971

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=3.787.

The sample size is N=15.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

s_M=(s)/(√(N))=(0.971)/(√(15))=(0.971)/(3.873)=0.2507

The t-value for a 95% confidence interval is t=2.145.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=2.145 \cdot 0.2507=0.538

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 3.787-0.538=3.249\n\nUL=M+t \cdot s_M = 3.787+0.538=4.324

The 95% confidence interval for the mean is (3.249, 4.324).

Oliva picked 256 strawberries from the orchard fields. She divided strawberries evenly to 6 baskets. How many strawberries are in each basket? How many are leftover?

Answers

Answer:

42 in each basket 4 leftover

Step-by-step explanation:

6 divided by 256 = 42 R4 and the remainder is how many are leftover.

1.994 x 10^-23 1.67 x 10^-24 what are the difference

Answers

Answer:

1.827 x 10^-23

Step-by-step explanation:

(1.994 x 10^-23) - (1.67 x 10^-24) = 1.827 x 10^-23
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