After your crypto adventure turns out poorly, you leave knowledgeable statisticians and take an engineering internship after all. when you get back to school in the fall, you and your friends talk about what you did during the summer. 40% of your friends had internships, 20% took a summer class, and 50% took at least one road trip. 50% of your friends had either an internship or a summer class; 70% of your friends had either an internship or took a road trip; 60% either took summer classes or a road trip; and 5% did all three.
(a) How many did both a summer class and an internship? (b) Are the events "your friend had an internship" and "your friend took a summer class" independent? (c) How many of your friends did none of the three activities?

Answer:

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad\ frac{a}{c}\pm\frac{b}{c}=\frac{a\pm\:b}{c}$ Since the denominators are equal ...

Step-by-step explanation:

Addition and subtraction of complex numbers works in a similar way to ... Example 1- Addition & Subtraction. a. ... (6+3)+(7−5)j=9+2j ... 25 + 30j + 9(-1)` ... our final answer is real only (it does not contain any imaginary terms. ... above - we multiply top and bottom of the fraction by the conjugate of the bottom.

AM = 13 (Option B)

AB = 26

Note:

AM + MB = AB...............(1)

Since Point M is the midpoint of the line segment AB

MB = AM .........................(2)

Substitute equation (2) into equation (1)

AM + AM = AB

2AM = AB

AM = AB / 2

AM = 26/2

AM = 13

The temperature drops when the temperature goes down from 23°C to -16°C is 39°C.

It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.

The temperature dropped from 23°C to -16°C.

Then the drop in temperature will be

Temperature drop = 23 - (-16)

Temperature drop = 23 + 16

Temperature drop = 39 °C

More about the subtraction link is given below.

https://brainly.com/question/4319655

#SPJ2

Answer:

A compass and straightedge allow for a more accurate rendition of a triangle, especially one needed to be specific measures

Step-by-step explanation:

It would take approximately 5.27 minutes for the liquid to cool from an initial temperature of 160 degrees Fahrenheit to a temperature of 31 degrees Fahrenheit in a constant 15 degrees Fahrenheit environment.

To determine the time it takes for the liquid to reach a temperature of 31 degrees Fahrenheit, we can use the concept of thermal equilibrium and the rate of temperature change.

Given that the liquid is placed in a constant 15 degrees Fahrenheit environment, we can assume that the liquid follows a linear cooling pattern over time.

From the given information, we know that the initial temperature of the liquid is 160 degrees Fahrenheit, and after 4 minutes, it cools down to 62 degrees Fahrenheit.

To calculate the rate of temperature change per minute, we can find the difference in temperature and divide it by the time elapsed.

Temperature Change per Minute = (Final Temperature - Initial Temperature) / Time Elapsed

Temperature Change per Minute = (62 - 160) / 4

Temperature Change per Minute = -98 / 4

Temperature Change per Minute = -24.5 degrees Fahrenheit per minute

Now, to determine the time it takes for the liquid to reach 31 degrees Fahrenheit, we can use the rate of temperature change per minute and set it equal to the difference between the final temperature (31 degrees) and the initial temperature (160 degrees).

Time Required = (Final Temperature - Initial Temperature) / Temperature Change per Minute

Time Required = (31 - 160) / -24.5

Time Required ≈ -129 / -24.5

Time Required ≈ 5.27 minutes

Therefore, it would take approximately 5.27 minutes for the liquid to cool from an initial temperature of 160 degrees Fahrenheit to a temperature of 31 degrees Fahrenheit in a constant 15 degrees Fahrenheit environment.

For more questions on temperature

https://brainly.com/question/24746268

#SPJ8

Answer:

The answer is B

Step-by-step explanation:

t-15+15=76+15

t=91

t-15=76  

I took the test and I got a 100%

Answer:

b

Step-by-step explanation:

In a sample of 26 days from the desert, the average of the high daily temperature is 114 degrees F, and the sample standard deviation is 5 degrees F.

To determine the 90% confidence interval for the average temperature, we can use the t-distribution as follows:To find the critical value of t, we can use the t-table. Since our sample has n = 26, the degrees of freedom (df) are n - 1 = 25. At a confidence level of 90%, with 25 degrees of freedom, the critical t-value is 1.708.The standard error of the mean is calculated as s / sqrt(n), where s is the sample standard deviation and n is the sample size. Therefore, the 90% confidence interval for the average temperature is (114 - 1.67, 114 + 1.67), or (112.33, 115.67) degrees F.

To know more about average visit :-

https://brainly.com/question/8501033

#SPJ11

Answer:

it would for sure be a

Step-by-step explanation:

The required equation of activities of players are m = f + 0.005 andm +f= 3.95 .Option(4) is correct

In algebra, the equation is defined as the relation between the variables,Suppose we have given variable x values is depend on the value of y which is the another variable by the equation y=x+2.simply equation is the expression in which two variables are arranged by equal sign.

football player McGee's earnings, m, were 0.005 million dollars more than those of his teammate Fitzpatrick's earnings, f.

Its equation is written as,

m = f + 0.005

similarly,The two players earned a total of 3.95 million dollars.

it can be written as,

m +f= 3.95

Thus, required equations are m = f + 0.005 andm +f= 3.95 .

To know more about equation visit:

brainly.com/question/649785

#SPJ9

Answer: 6 hours

Step-by-step explanation:

25% of 30 = 7.5

5% of 30 = 1.5

7.5 - 1.5 = 6

Tremaine used 6 hours more to play games than to do research.

Answer:

games - 7.5 hours

research - 1.5 hours

7.5-1.5 = 6

He played games 6 hours more than doing research

Step-by-step explanation:

30:100=0.3

1% - 0.3

0.3x5=1.5

0.3x25=7.5

Answer:

water=32 meters tall

Step-by-step explanation:

16/30=x/60

x=32

Answer:

Its D

n + 26

Step-by-step explanation

Answer:

-1/2 is the answer i think

The relationship between DE and AC, considering the triangle midsegment theorem, is given as follows:

The triangle midsegment theorem states that the midsegment of the triangle divided the length of the midsegment of the triangle is half the length of the base of the triangle, and that the midsegment and the base are parallel.

The parameters for this problem are given as follows:

Hence the correct statements are given as follows:

More can be learned about the triangle midsegment theorem at brainly.com/question/7423948

#SPJ1

Answer:



Step-by-step explanation: before

Answer:

12 ft

Step-by-step explanation:

square root of 324 = 18

Side =18   18x18= 324

    18/3 = 6

    6x2=12

side small = 12

                  18x4 = 72 (perimeter big)

                   12x4 =48 (perimeter small)

      2:3

    48:72

Answer:

B is correct.

Step-by-step explanation:

On number line and sequencing also, -3 is less than -2.

Answer:

b is correct -2 is less than-3

Answer: 41

Step-by-step explanation: Add 24 plus 17

Step-by-step explanation:

In given rt.angled triangle,

Sin thita =p/h

=26.1/28.7

=0.9094

So correct answer is option D.

0.9094 is the sine of angle θ

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

here, we have,

from the given figure,

In given rt.angled triangle,

Sin thita =p/h

=26.1/28.7

=0.9094

So correct answer is option D.

To learn more trigonometry click:

brainly.com/question/26719838

#SPJ2

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

Step 1:

Write the function:

Step 2:

To find the height after 1 second, you will substitute t = 1

Final answer

364

Answer:

For a line:

y = a*x + b

where a is the slope, and b is the y-intercept.

Any other line with the same slope but different y-intercept will be parallel to this line.

Then if we have two lines like:

y1 = a*x + c

and

y2 = a*x + k

Both of them are parallel to our first line, and as you can see, both of them have the same slope and different y-intercept, then these lines are also parallel.

Now, the statement says that:

"If two lines are parallel to the same line..."

Then we can have the lines:

y1 = a*x + k

y2 = a*x + k

Both of them are parallel to our first line (same slope)

Buth these lines are the same line, then these lines are not parallel to each other (a line is not parallel to itself, because it intersects itself in infinity points), then the actual statement should be:

"If two different lines are parallel to the same line, then they are parallel to each other".

Now, this theorem does not have a particular name, just call it as the above statement.

The produce a 95% confidence interval with a margin of error of 4% sample size of 451 the proportion of people eating breakfast is 75%.

The required sample size for a 95% confidence interval with a margin of error of 4% (0.04) and a proportion of 75%,

n = (Z² × p × (1-p)) / E²

where:

n = sample size

Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of approximately 1.96)

p = proportion of people eating breakfast (expressed as a decimal, so 75% is 0.75)

E = margin of error (0.04)

n = (1.9² × 0.75 × (1-0.75)) / 0.04²

n =(3.8416 × 0.75 × 0.25) / 0.0016

n = 0.7209 / 0.0016

n = 450.56

a fractional sample size, to round up to the nearest whole number.

To know more about produce here

https://brainly.com/question/30141735

#SPJ4

Answer:

B' (- 1, - 2 ) , C' (0, - 8 )

Step-by-step explanation:

A (1 , - 4 ) → A' (- 3, - 5 )

1 → - 3 in the x- direction means subtract 4 from the original x- coordinate

- 4 → - 5 in the y- direction means subtract 1 from the original y- coordinate

the translation rule is then

(x, y ) → (x - 4, y - 1 ) , then applying this

B (3, - 1 ) → B' (3 - 4, - 1 - 1 ) → B' (- 1, - 1 )

C (4, - 7 ) → C' (4 - 4, - 7 - 1 ) → C' (0, - 8 )

Answer:

The next mark should be at (3,-3)

Answer:

1) 8π m2 = 200.96

2) 64π m2 = 12861.44

3) 4π m2 = 50.24

4) 16π m2 = 803.84

Step-by-step explanation:

A = π r 2

We solved a problem after several missteps. One thing we are not certain of. We should:

When we are unsure about a part of a calculation, it is a good idea to check for hints that address that part of the calculation. This can help us confirm or correct your understanding of the problem. In addition, speaking with an instructor or classmate can provide valuable insight and help clarify any confusion.

Finally, if we still feel unsure, submitting our answer and then adjusting it based on feedback can help us improve our understanding and knowledge of the material. All of these options can help ensure that we have the most accurate and complete understanding of the problem.

This question should be provided with answer choices, which are:

Learn more about problem solving process here: brainly.com/question/10708306

#SPJ4

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice