Hugo averages 59 words per minute on a typing test with a standard deviation of 10.5 words per minute. Suppose Hugo's words per minute on a typing test are normally distributed. Let X= the number of words per minute on a typing test. Then, X∼N(59,10.5). Suppose Hugo types 57 words per minute in a typing test on Wednesday. The z-score when x=57 is ________. This z-score tells you that x=57 is ________ standard deviations to the ________ (right/left) of the mean, ________. Correctly fill in the blanks in the statement above.

A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).

To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.

The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.

Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.

The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.

For more questions on: diameter

https://brainly.com/question/30460318

#SPJ8  

Answer:

10 three-point questions and 14 five-point questions.

Step-by-step explanation:

x+y = 24

3x+5y = 100

We can solve this system of equations using elimination. In order to do this, let's first multiply the first equation by 3...

3x+3y=72

3x+5y=100

Now, subtract the first equation from the second equation...

2y=28

Divide both sides by 2

y=14

Plug this back into any of the equations to solve for x...

x+14=24

x=10

There were 10 three-point questions and 14 five-point questions

10% of the time, the population mean will go below $1,500 or exceed $2,100.

Given that,

Assume that we have data on the annual spending on apparel of a sample of families. The probability that the population mean will fall below $1,500 or rise over $2,100 is ________% if we are 90% positive that the genuine population mean will be between $1,500 and $2,100.

We have to fill the blank.

We know that,

90% of the time, the real population mean will fall in the range of $1,500 and $2,100.

The genuine population mean will therefore most likely fall between $1,500 and $2,100, with a 90% probability.

So, the probability that it will fall outside of this range (i.e., be either less than $1,500 or beyond $2,100) is 100-90, or 10%.

Therefore, 10% of the time, the population mean will go below $1,500 or exceed $2,100.

To learn more about population visit: https://brainly.com/question/29016981

#SPJ4

The p-value was slightly above the threshold, the study's findings still suggest that the online medium may be more effective in enhancing student satisfaction levels in a Quantitative reasoning course.

The study aimed to determine whether there was a significant difference in student satisfaction levels between traditional face-to-face classes and online classes in a quantitative reasoning course.

The samples included students from four face-to-face classes and four online classes offered at the same university. The study was exploratory in nature, and therefore, the levels of significance were relaxed to the .10 level.

The independent samples t-test showed that the p-value was slightly above the conventional threshold but was rapidly approaching significance (i.e., p=.06). The results showed that students in online classes reported higher levels of satisfaction than those in the face-to-face classes.

The study is significant because it provides evidence to educators on what medium works better in producing quantitatively knowledgeable practitioners.

Although the p-value was slightly above the threshold, the study's findings still suggest that the online medium may be more effective in enhancing student satisfaction levels in a quantitative reasoning course.

Further research could be conducted to validate these findings and determine the reasons behind the observed difference in satisfaction levels.

To Learn More About Quantitative

https://brainly.com/question/96076

SPJ11

Answer: i cant see it

Step-by-step explanation:

Answer:

y = 4x - 11

Step-by-step explanation:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

We can find b, the y-intercept of the line, by plugging in 4 for m and (3, 1) for (x, y) in the slope-intercept form:

1 = 4(3) + b

1 = 12 + b

-11 = b

Thus, the y-intercept is -11.

Thus, the equation of the line with a slope of 4 passing through the point (3, 1) in slope-intercept form is y = 4x - 11

The answer is:

Work/explanation:

First, we will write the equation in point slope:

\(\sf{y-y_1=m(x-x_1)}\)

where m = slope;

(x₁,y₁) is a point on the line.

Plug in the data:

\(\sf{y-1=4(x-3)}\)

Simplify

\(\sf{y-1=4x-12}\)

Add 1 on each side

\(\sf{y=4x-12+1}\)

\(\sf{y=4x-11}\)

Answer:

2.4 × 10^-2

Step-by-step explanation:

You can do a sort of "undistributive" property and factor out the 10^-2 and then add the 1.2+1.2

1.2×10^-2 + 1.2×10^-2

= 10^-2(1.2 + 1.2)

= 10^-2(2.4)

= 2.4 × 10^-2

OR you can change from scientific notation to standard and add them and change back to sci. not. See image.

Answer:

x=32

Step-by-step explanation:

Hope this helps. Have a great day and plz give brainliest.

Answer:

the answer is 37/7

Step-by-step explanation:

u multiply the 5 and the seven and add the 2 and u get 37/7 so u keep the denominator the same

The algebraic expression is (7 + 3m)/27 < n

The statement is given as:

"The quotient of seven more than three times a number m and the number 27 is less than n"​

The numbers are represented as n and m

Quotient means divide

So, we have:

The quotient of seven more than three times a number m and the number 27 is represented as:

(7 + 3m)/27

The result is less than n.

So, we have:

(7 + 3m)/27 < n

Hence, the algebraic expression is (7 + 3m)/27 < n

Read more about mathematical statements at:

https://brainly.com/question/9048478

#SPJ1

To find the area of a parallelogram, you need to multiply the base by the height. In this case, the given dimensions are 60ft (base) and 67ft (height), and you need to subtract 52ft from the height.

New height = 67ft - 52ft = 15ft

Area of the parallelogram = Base * Height = 60ft * 15ft = 900 square feet.

Therefore, the area of the parallelogram is 900 square feet.

~~~Harsha~~~

Answer:

55% of the group are wearing glasses.

Step-by-step explanation:

There are 60 total golfers and 33 with glasses. To find the percentage wearing glasses, you must divide the golfers wearing glasses by the total number of golfers and then multiply it by 100.

\(\frac{33}{60} (100)=55%\)

Therefore, 55% of the golfers are wearing glasses.

Answer:

YOUR WELCOME

\(\:\)

y = 3x − 1

Using the slope-intercept form, the slope is 3.

m = 3

To find the simple interest earned on an investment, we use the formula:

I = P * r * t

Where:

I = simple interest earned

P = principal amount invested

r = annual interest rate (as a decimal)

t = time period of investment (in years)

In this case, we have:

P = $9,900

r = 7.8% = 0.078 (since the rate is given as an annual rate, we need to divide by 100 to get the decimal equivalent)

t = 24 months / 12 months/year = 2 years

Substituting these values into the formula, we get:

I = 9,900 * 0.078 * 2

= $1,545.60

Therefore, the simple interest earned on the investment is $1,545.60.

Answer:

$6.84

Step-by-step explanation:

This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.

Answer:

1 whole

Step-by-step explanation:

Answer:

5/5 or 1 whole

Step-by-step explanation:

The perimeter of the figure with side length of 5 units is 50 units

From the question, we have the following parameters that can be used in our computation:

Shape = rectangle

Smaller shapes = squares

Side lengths = 5 units

The perimeter of the figure is calculated as

Perimeter  = Number of visible sides * Side length of the square shape

In this case, we have

Number of visible sides = 10

Substitute the known values in the above equation, so, we have the following representation

Perimeter  = 10 * 5

Evaluate the products

Perimeter  = 50 units

Hence, the perimeter is 50 units

Read more about perimeter at

https://brainly.com/question/18019422

#SPJ1

By HL congruence,  triangle ABC congruent to triangle DEF. Therefore, option D is the correct answer.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Consider the given triangles as ABC and DEF.

From the given triangles,

AC=DF=14 in.

BC=EF=20 in.

∠A=∠D=90°

The Hypotenuse-Leg (HL) Triangle Congruence Theorem is a special case that allows you to show that two right triangles are congruent. If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.

By HL congruence, ΔABC ≅ ΔDEF

Therefore, option D is the correct answer.

To learn more about the congruent theorem visit:

https://brainly.com/question/24033497.

#SPJ1

\({\huge{\fbox{\tt{\blue{ANSWER}}}}}\)

______________________________________

The probability of answering a single problem correctly by randomly guessing is 1/4, since there are 4 answer choices and only one correct answer. Since the student randomly guessed the answer to both problems, the probability of answering both problems correctly is:

(1/4) x (1/4) = 1/16

Therefore, the probability that the student answered both problems correctly is 1/16.

Answer:

Slope- y=1/4x-6

Y intercept= (0,-6)

Hope this helps!

Solve the equation for k, this way:

The value of k is 2.

The value of the vehicle 13 years after purchase is $13,695.24.

What is exponential decay?

Exponential decay is a mathematical process in which a quantity decreases over time in a manner proportional to its current value. This means that the rate of decay is proportional to the amount of the substance remaining, and as the amount of the substance decreases, the rate of decay also decreases.

We can use the formula for exponential decay to find the approximate value of the vehicle 13 years after the purchase:

\($V = V_0 e^{-rt}$\)

where V0 is the initial value of the vehicle, r is the annual depreciation rate (as a decimal), t is the number of years since purchase, and e is the mathematical constant approximately equal to 2.71828.

Substituting the given values, we get:

\($V \approx 29800 e^{-0.06*13}$\)

\($V \approx 29800 e^{-0.78}$\)

V ≈ 29800 x 0.4593

V ≈ 13695.24

Therefore, the approximate value of the vehicle 13 years after purchase is $13,695.24.

To know more about exponential decay visit:

brainly.com/question/2193799

#SPJ1

Answer:

  x = 6

Step-by-step explanation:

A 45-45-90 isosceles right triangle has side lengths in the ratios ...

  1 : 1 : √2

__

That is, the longest side (marked x in this figure) is √2 times the length of the other two equal-length sides.

  x = (√2)×3√2 = 3×2

  x = 6

Answer:

The base is XZ and the height is ZY.

The measure of base is: 3 Units

The measure of Height is: 3 Units

Step-by-step explanation:

The explaination is given in the pictures...

The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2

To find the limit as x approaches -2, we substitute -2 into the function:

f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
      = 4(4) - 10 + 12 + 2
      = 16 - 10 + 12 + 2
      = 20

Therefore, the limit of the function as x approaches -2 is 20.

To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.

However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.

For more question on function

https://brainly.com/question/11624077

#SPJ8

Answer:

a. $35

b.$21

Step-by-step explanation:

a. It is what your are multiplying the number of lawns mowed by

b. -2y = -42

divide by -2 on each side

y=21

(you don't need the 35x because we are trying to find how much before he started mowing)

The measures of the angles to the nearest degree are:

a) A ≈ 36 degrees

b) B ≈ 23 degrees

c) C ≈ 2 degrees

To find the measure of the angle to the nearest degree given trigonometric ratios, we can use inverse trigonometric functions.

Here are the steps to determine the angles:

a) sin A = 0.6018

Taking the inverse sine (arcsin) of both sides:

A = arcsin(0.6018)

Using a calculator, we find A ≈ 36 degrees (rounded to the nearest degree).

b) cos B = 0.9205

Taking the inverse cosine (arccos) of both sides:

B = arccos(0.9205)

Using a calculator, we find B ≈ 23 degrees (rounded to the nearest degree).

c) tan C = 0.0349

Taking the inverse tangent (arctan) of both sides:

C = arctan(0.0349)

Using a calculator, we find C ≈ 2 degrees (rounded to the nearest degree).

Therefore, the measures of the angles to the nearest degree are:

a) A ≈ 36 degrees

b) B ≈ 23 degrees

c) C ≈ 2 degrees.

Note: Trigonometric functions have periodicity, meaning there may be multiple angles with the same trigonometric ratio.

To determine the principal angle within a specific range, we use the inverse trigonometric functions.

For similar question on angles.

https://brainly.com/question/25770607  

#SPJ8

Answer:

Thousandths.

Step-by-step explanation:

The third decimal place, which is three places after the decimal point is called as the thousandths place.

The number 5 is at the thousandths place.