Laura types 63 wpm. estimate how many words laura wpuld type
in 30 minutes

For a sample of study time in beginning and ending of semester of gvsu students.

95% confidence interval is ( 4.078, 4.602 ) and Upper bound is 4.602 and Lower bound is 4.078..

We have given that,

Sample size, n = 86

Standard deviations, sd = 1.24

Samle mean, X-bar = 4.34

Formula for confidence interval is

X-bar +- Z (sd/√n)

where, Z ---> test statistic value

Also, we have 95% confidence interval

Using the Z-table , we can get the value of z-statistic for 95% of confidence interval is 1.96 ..

Plugging all known values in above formula.

Confidence interval is

4.34± 1.96(1.24/√86)

=> 4.34 ± 1.96(0.1337)

=> 4.34 ± 0.2620

Upper bound of confidence interval is

4.34 + 0.2620 = 4.602

Lower bound of confidence interval is

4.34 - 0.2620 = 4.078

Hence, the upper and lower bounds of confidence interval are 4.602 and 4.078 respectively.

To learn more about Confidence interval, refer:

https://brainly.com/question/17212516

#SPJ4

Complete question:

Towards the end of the semester students are busy. Of all of the GVSU students, a sample of 86 students was taken. Study time per week at the beginning of the semester and study time at the end of the semester was recorded. The differences were then calculated End - Beginning. A sample mean difference of 4.34 hours/week with a corresponding standard deviation of 1.24 hours per week were found. Calculate a 95% confidence interval. (Remember to go to the hundredths place for both the upper and lower bounds.) Upper bond=? and

Lower bond=

Answer:

-3

Step-by-step explanation:

goes up 3

goes back -1

3/-1

Answer:

Dose it have the points?

Step-by-step explanation:

slope=M=y2-y1/ x2x1

Answer:

To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.

Given:

Length = 36 inches

Width = 24 inches

Height = 18 inches

Converting the dimensions to feet:

Length = 36 inches / 12 inches/foot = 3 feet

Width = 24 inches / 12 inches/foot = 2 feet

Height = 18 inches / 12 inches/foot = 1.5 feet

Now, we can calculate the volume of the box by multiplying the length, width, and height:

Volume = Length * Width * Height

Volume = 3 feet * 2 feet * 1.5 feet

Volume = 9 cubic feet

Therefore, the shipping box can hold 9 cubic feet.

Step-by-step explanation:

First convert the units because it's asking for the cubic feet but they give us the measurements in inches.

To convert inches to feet we divide the number by 12.

36 ÷  12 = 3

24 ÷  12 = 2

18 ÷ 12 = 1.5

Now to find the volume, we multiply it all together.

3 × 2 × 1.5 = 9

It can hold 9 cubic feet.

Hope this helped!

Answer:

Option A.

Step-by-step explanation:

Circle contains all points in a plane that are equidistant from a point, i.e., center of the circle.

The locus of points 9 units from the  point (-1,3) on the coordinate plane.

It means, the figure represents the set of all points which are 9 units from the  point (-1,3).

So, the given describes a circle with of 9 units and center at (-1,3).

Therefore, the correct option is A.

According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.

In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:

According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.

Learn more about probability in: https://brainly.com/question/31828911

#SPJ1

Answer:i think 2 meters

Step-by-step explanation:

Answer:

x = 60°

2x = 120°

Step-by-step explanation:

A straight line = 180°      

we are given supplementary angles (sum up to 180°)

so 2x + x = 180°  

3x = 180°                  combine like terms, x

3x / 3 = 180° / 3       divided both sides by 3 to get x alone

x = 60°

and the 2x angle is 2(60°) = 120° by plugging x in

Let me know if you have any questions, Happy to help !

Answer:

Below

Step-by-step explanation:

Rate of change (aka the slope) = 2/5

Y Intercept = 10

The statements that must be true are:

FH ≅ GH

<DHF is a right angle

H is the midpoint of FG

A perpendicular bisector is a straight line which partitions a given line segment into two equal parts.

As such, it is at a right angle to the bisected line segment.

From the given diagram, given that line DE is the perpendicular bisector of line segment FG, then the statements that must be true are:

Hence, the statements FH ≅ GH, <DHF is a right angle, H is the midpoint of FG are true

Learn more about perpendicular bisector at brainly.com/question/30242292

#SPJ1

The expression equivalent to\((1/\sqrt y)^(^-^1^/^5^) is y^(^1^/^5^)/ \sqrt y\).

To simplify the expression (1/√y)^(-1/5), we can use the rule for negative exponents, which states that a negative exponent is equivalent to a positive exponent when the base is moved to the opposite side of the fraction.

First, we can simplify (1/√y) by rationalizing the denominator as follows:

1/√y = 1/√y * √y/√y = √y/√(y^2) = √y/y

Therefore, (1/√y)^(-1/5) can be written as:

\([(\sqrt y/y)^(^-^1^)]^(^1^/^5^)\)

Next, we can use the rule for raising a power to another power, which is to multiply the exponents:

\([(\sqrt y/y)^(^-^1^)]^(^1^/^5^) = (\sqrt y/y)^(^-^1^/^5^)\)

Finally, we can use the negative exponent rule again to rewrite (√y/y)^(-1/5) as:

\((y/√y)^(1/5)\) = \((1/\sqrt y)^(^-^1^/^5^) is y^(^1^/^5^)/ \sqrt y\)

For such more questions on expression

https://brainly.com/question/1859113

#SPJ8

Answer:

An independent event is an event in which the outcome isn't affected by another event. A dependent event is affected by the outcome of a second event.

H - 3q = gr

make g the subject of the relation.

H - 3q = gr

divide through by r

Final answer

The missing statement from step 4 is that the angles OAKRV, OASVT, OARQP, and OAPQR are congruent.

Congruent is a term used in mathematics to describe two figures or objects that have the same shape and size. This means that the two objects have identical angles and sides, so they can be perfectly superimposed on each other.

This can be concluded using the Angle-Angle-Side (AAS) Theorem, which states that if two triangles have two angles and a side in common, the triangles are similar. Since the angles OAKRV, OASVT, OARQP, and OAPQR are the corresponding angles of the similar triangles AVKR and APQR, the reason that completes step 4 is the converse of the Isosceles Triangle Theorem, which states if two sides of a triangle are congruent, then the angles opposite those sides are congruent.

To learn more about congruent

https://brainly.com/question/29756913

#SPJ1

i don't know if this is right but its worth a try...

52/8=6.5

6.5x9=58.5

So its 58.5 miles in 9 hours. hope this helps !

Answer:

1,2,5

A,B,E

Intelligence

Study habits

Work schedule

ED2021

Intelligence and study habits could be mitigated by random assignments.

Options A and B are the correct answer.

Random assignment refers to the process of randomly assigning participants to either the treatment or control group in an experiment.

We have,

Random assignment is done to minimize the effect of extraneous variables, such as intelligence and study habits, that could potentially affect the results of the experiment.

By randomly assigning participants to either the treatment or control group, the differences between the two groups are assumed to be due to chance alone.

Variables such as the professor, course textbook, and work schedule are not affected by random assignments.

These variables are considered to be controlled variables that are held constant across both the treatment and control groups.

Thus,

Intelligence and study habits could be mitigated by random assignments.

Learn more about random assignments here:

https://brainly.com/question/26377187

#SPJ3

Answer:

xx = (53.80 - 45) / 4

Step-by-step explanation:

The number of gigabytes of data Magan can use while staying within his budget is 2.2 gigabytes.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Under his cell phone plan, Magan pays a flat cost of $45 per month and $4 per gigabyte.

He wants to keep his bill at $53.80 per month.

Let x be the number of gigabytes of data Magan can use while staying within his budget.

The  linear equation can be framed in one variable:

45 + 4x = 53.80

4x = 53.80 - 45

4x = 8.8

x = 8.8/4

x = 2.2 gigabytes

Thus, the number of gigabytes of data Magan can use while staying within his budget is 2.2 gigabytes.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

The Probability that the randomly chosen coin is gold, given that it is small, is 4/5 or 0.8 when expressed as a decimal.

To find the probability that the randomly chosen coin is gold, given that it is small, we need to determine the number of small gold coins and the total number of small coins.

From the given information, Marco has 12 small gold coins and 3 small silver coins, making a total of 12 + 3 = 15 small coins.

The probability that the coin is gold, given that it is small, can be calculated as the ratio of the number of small gold coins to the total number of small coins:

P(Gold|Small) = Number of Small Gold Coins / Total Number of Small Coins

P(Gold|Small) = 12 / 15

Simplifying the fraction, we have:

P(Gold|Small) = 4 / 5

Therefore, the probability that the randomly chosen coin is gold, given that it is small, is 4/5 or 0.8 when expressed as a decimal.

For more questions on Probability .

https://brainly.com/question/25839839

#SPJ8

Answer:

Mature males reach heights between 12 and 14 feet at the shoulder, and weigh from 12,000 to 14,000 pounds. Females elphant , reach heights between 9 and 13 feet and weigh from 6,000 to 8,000 pounds.

The monthly income of the first person is $600.

Given that, the average monthly income of three persons is RS 3,600.

The income of the first is 1/5 of the combined income of the other two.

Here, Let income of the first be A, let income of the second be B and let Income of the third be C.

A+B+C=3600 -----(i)

Income for the first person = 1/5(B+C) -----(ii)

Substitute equation (ii) in equation (i), we get

(B+C)/5 +B+C =3600

B+C+5B+5C=3600×5

6B+6C=18000

6(B+C)=18000

B+C=3000 ------(iii)

Substitute (iii) in equation (i), we get

A=$600

Therefore, the monthly income of the first person is $600.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ1

Answer:

\(y = -3/2x + 4\)

Step-by-step explanation:

\((2,1) and (6,-5).\\x_1 = 2\\x_2 = 6\\y_1 =1\\y_2 =-5\\\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}\\ \\\frac{y-1}{x-2} = \frac{-5-1}{6-2}\\\\\frac{y-1}{x-2} = \frac{-6}{4} \\Cross-Multiply\\4(y-1) = -6(x-2)\\4y-4=-6x+12\\4y =-6x+12+4\\4y = -6x+16\\Divide through-by ; 4\\\frac{4y = -6x+16}{4} \\\\y = -\frac{3}{2} x +4\)

Answer:

C. \( y = -\frac{1}{2}x - \frac{7}{2} \)

Step-by-step explanation:

We can get the equation in slope-intercept form if we know the slope (m) and the y-intercept (b).

Since the line is parallel to -2x + 4y = 8, it will have the same slope as the equation.

Converting -2x + 4y = 8 into the slope-intercept form, we would have:

4y = -2x + 8

y = -2x/4 + 8/4

y = -½x + 2

Theregore, slope, m, of the line that is parallel bro 4y = -2x + 8 is -½.

To find the y-intercept, b, substitute (x, y) = (-5, -1) and m = -½ in y = mx + b.

Thus:

-1 = (-½)(-5) + b

-1 = ⁵/2 + b

-1 - ⁵/2 = b

(-2 - 5)/2 = b

-⁷/2 = b

b = -⁷/2

To get the equation of the line, substitute b = -⁷/2, and m = -½ in y = mx + b.

The equation would be:

\( y = -\frac{1}{2}x - \frac{7}{2} \)

The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.

To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:

Compound Interest =P(1+r/n)^rt

Substituting the given values, we get:

Compound Interest =600 (1+7/n)^4

Simplifying this equation, we get

P = 600 / 1.487

P = 451.73

Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.

Learn more about present value here:

brainly.com/question/17322936s

#SPJ1

The probability of landing on the dark blue target is 2/5.

Probability is the ratio of required to the total possible outcomes of an event.

P(dark blue ) = 40/100

divide through by 20

P(dark blue ) = 2/5

Therefore, the probability of landing on target is 2/5

Learn more on probability:https://brainly.com/question/24756209

#SPJ1

Answer:

Figure 1: complementary

figure 2: adjacent

figure 3: supplementary

figure5: supplementary

Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

for more such question on graph visit

https://brainly.com/question/19040584

#SPJ8