Sebastian tosses three coins. What is the probability he tosses two heads and one tail?

The value of x is:

Solution:

If two angles are supplementary, that means that the sum of their measures is 180°.

We're given 2 angles:

And since they're supplementary, the following holds true:

[tex]\sf{\angle m + \angle n = 180}[/tex]

Next, we know that [tex]\sf{\angle m=34}[/tex], so we plug that in

[tex]\sf{34+\angle n = 180}[/tex]

Then, ∠n = 2x:

[tex]\sf{34+2x=180}[/tex]

Which is the same as

[tex]\sf{2x+34=180}[/tex]

Subtract 34 from each side

[tex]\sf{2x=146}[/tex]

Divide each side by 2

[tex]\sf{x=73}[/tex]

Answer: D

Step-by-step explanation:

180+90= 270

90x3=270

2.5 x 10 -13 , the last one

Answer:

B

Step-by-step explanation:

278-278 =0

so nothing has changes

Answer: 576 square feet

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

(6x+4)+26=90

6x+4+26=90

6x+30-30=90-30

6x÷6=60÷6

x=10

Answer:

the answer is X=10

(6x+4)+26=90

6x +30=90

6x= 90÷30

6x=60

X = 60÷6

X= 10

Answer:

Step-by-step explanation:

Given the system of equations,

[tex]y=2x-3\\y=-x+3[/tex]

We can substitute one equations into another since both equations solve for y. I will use the second equation for this example.

Step 1: Substitute

[tex]-x+3=2x-3[/tex]

Step 2: Simplify

[tex]6=3x\\x=2[/tex]

Now, we can easily substitute our x value into one of the equations.

Step 3: Substitute.. again

[tex]y=-2+3\\y=1[/tex]

Solution: [tex](2,1)[/tex]

Graph is attached below :)

Hope this helped ya! <3

Answer:

15

Step-by-step explanation:

A=(a+b)/ 2 x h
A= (4+6)/ 2 x 3
A= 15

If I am wrong then please let me know

Answer: h=260/12

Step-by-step explanation:

A=BxH/2

A=260 sq. in

260 sq. in=BxH/2

B=24 in

260sq. in=24inxH/2

Simplify

260sq. in=12inxH

Divide both sides by 12in

260/12 in = H

Answer:

Q1=0.5 Q3=6

Step-by-step explanation:

To find the quartiles, we first need to put the data set in order from smallest to largest:

−8, −5, −1, 0, 0, 1, 2, 4, 4, 5, 5, 7, 9, 10

There are 14 data points, so the median is the average of the 7th and 8th numbers, which is (2+4)/2 = 3.

Now we divide the data set into two halves, the lower half and the upper half, not including the median.

Lower half: −8, −5, −1, 0, 0, 1, 2

Upper half: 4, 4, 5, 5, 7, 9, 10

To find the first quartile, we take the median of the lower half of the data set. There are 7 numbers in the lower half, so the median is the average of the 4th and 5th numbers, which is (0+1)/2 = 0.5.

To find the third quartile, we take the median of the upper half of the data set. There are 7 numbers in the upper half, so the median is the average of the 4th and 5th numbers, which is (5+7)/2 = 6.

Therefore, the first quartile is 0.5 and the third quartile is 6.

Answer:

I think D? sry if its wrong tho :/

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

48 = {1,2,3,6,8,48.}

Step-by-step explanation:

These are the factors if 48. if it's correct please let me know.

Answer:

proofs attached to answer

Step-by-step explanation:

proofs attached to answer

Answer: 188,736

Step-by-step explanation:

The original amount is 192,000. Every year, the population decreases by 1.7%, which means that the population is 98.3% of last year's.

0.983 * 192,000 = 188,736

Step-by-step explanation: Well, it’s asking you to write an equation for it in Y=MX+B format. That would be something like y=4x+2 (not the answer.) There are 4 different points on here. A, b, c, and d. There is an incomplete equation, 2x+1. There is also a degree, 33. This shape that these lines formed also have a 90 degree angle, as you can see next to the B. It’s pretty much 3 angles out together. Find the degrees for the two other angles, after you do that, use a formula like this, 1+2, then subtract the answer from 180 degrees. If the number turned out negative, then subtract 180 from the answer instead. That will get you far enough to actually form the equation.

Answer:

Let me explain. :)

Step-by-step explanation:

Step 1:

We know that Gherell has 75 marks. Delia has 5 marks less than Gherell, so  we do 75-5 which is 70.

Step 2:

To find out Josiah's mark, we must find 20% of 70. Now, I am not sure if you learned how to find the percents and the amount of decrease, but if you calculate, it is 14. Then you do 70-14 because 14 is how many marks he lost, and that is 54.

Step 3:

Subtract 4 from 54 to get 50 marks.

Step 4:

Shevonne's marks are the average of both Josiah and Liam's mark, so we must find the average. The average is calculated by adding both Josiah and Liam's mark, and divide it by the number of people. [tex]\frac{Josiah+Liam}{2} = \frac{54+50}{2}[/tex]

Then, you get 104/2 which is 52. Shevonne has 10 more marks than the average, so you would add 10 to 52 which is 62.

There we have it! Hope it helped. :D

Answer:

vertically opposite angles

Step-by-step explanation:

A=66°

they would become smaller and possibly more accurate or possibly less accurate - depends on what the definition is for outlier in this study.

Answer: answer is 7

Step-by-step explanation: 7/4 x 4 = 7

Answer: The answer is -6.

Step-by-step explanation:

The first step in solving -X²= - 36 is to simplify the expression. Then, divide both sides by the same factor. You'll get X² - 36 = 0.

After that, you need to use the quadratic formula. Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula. a=1, b=0, and c=-36.

Finally, you need to simplify the expression. First, evaluate the exponent. Then multiply the numbers. After that, Add the numbers and evaluate the square root. Add zero, and then multiply the numbers again. You get +12/2, which simplifies into X = 6. Add the negative, and you get X = -6.

I hope it helped! :)

Answer:

Bolded below

Step-by-step explanation:

0-1 mile: 50%

1-2 miles: 78% - 50% = 28%

2-3 miles: 0.1 = 10%

3+ miles: 100% - (50% + 28% + 10%) = 12%

Hope this helps!

Distance from School Percent of Students

Within 1 mile 50%

Between 1 and 2 miles 78%

Between 2 and 3 miles 0.1%

More than 3 miles 21.9%

Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent sign, "%". For example, 45% (read as "forty-five percent") is equal to 45⁄100, or 0.45. Percentage can be used to express how much of something there is compared to the whole.

The given data can be represented in a table to show the percent of students who are living at each distance from the school. The table shows that 50% of the students live within 1 mile from the school, 78% of the students live between 1 and 2 miles from the school, 0.1% of the students live between 2 and 3 miles from the school, and 21.9% of the students live more than 3 miles from the school. This is happening due to the fact that the majority of students live close to the school, hence the higher percentages of students living within the shorter distances and lower percentages of students living at the longer distances.

For more questions related to fraction

https://brainly.com/question/17220365

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Answer: 18.5%

Step-by-step explanation: Last year, there were 56 boys and 135 girls on the honor roll, for a total of 191 students. This year, the number of boys on the honor roll increased by 25%, which means there are now 70 boys on the honor roll (56 * 1.25). The number of girls on the honor roll increased by 20%, which means there are now 162 girls on the honor roll (135 * 1.20).

The total number of students on the honor roll this year is therefore 70 + 162 = 232.

To find the percentage increase in the total number of students on the honor roll, we can use the formula:

percentage increase = (new value - old value) / old value * 100

Plugging in the numbers, we get:

percentage increase = (232 - 191) / 191 * 100 = 21.47%

Rounding to the nearest tenth, we get an increase of approximately 18.5%.

Hope this helps, and have a great day!

Answer: 1st one=alternate interior angles

2nd one=linear pair

3rd one=corresponding angles

4th one= alternate exterior angles

5th one= corresponding angles

Step-by-step explanation:

Answer: 65 advance tickets

Step-by-step explanation:

Answer:

Advance tickets sold: 30

Same-day tickets sold: 25

Step-by-step explanation:

So, let's assume that the number of advance tickets is the variable [tex]x[/tex], and the number of same-day tickets is [tex]y[/tex].

Since the cost of advance tickets is $25 dollars, we can show that using [tex]25x[/tex], and the cost of same-day tickets is $35, we can show that with [tex]35y[/tex]. The total cost of the tickets is $1625 and the total number of tickets is 55.

Now, let's form a system of equations with this information.

[tex]25x+35y=1625\\x+y=55[/tex]

Step 1: Rearrange equation so that it solves for a variable

[tex]x+y=55[/tex] can be rewritten as [tex]y=-x+55[/tex]

Step 2: Substitute

[tex]y=-x+55[/tex], so, we can write this in the first equation as: [tex]25x+35(-x+55)=1625[/tex]

Step 3: Simplify

[tex]25x-35x+1925=1625\\-10x=-300\\x=30[/tex]

So the number of advance tickets sold are 30.

Now, let's solve for the number of same-day tickets sold.

Step 4: Solve for y

Using our equation from above ([tex]y=-x+55[/tex]), we can substitute the value that we solved for ([tex]x=30[/tex]) to solve for the variable y.

[tex]y=-30+55\\y=25[/tex]

The number of same-day tickets sold are 25.

Hope this helped ya :)

Answer: up to 120 pieces

Step-by-step explanation:

Answer:

2.5 hours (2 and 1/2)

Step-by-step explanation:

Every 1 hour, Erin runs 10 miles and so on. The ratio is 1:10 (2:20, 3:30, etc.) 25 is 20+5, and 5 is considered 1/2 of 10, so it would count as 0.5 (or 1/2). So in 2.5 hours Erin will run 25 miles. Hope it helped :>