In a group of 25 students at lunch, 10 prefer ketchup on their hamburger, 10 prefer mustard on
their hamburger, and 5 like both ketchup and mustard on their hamburger. The rest of the
students in the group prefer neither. What is the probability that a student selected from this
group will prefer ketchup or mustard on their hamburger?

Answers

Answer 1

Answer:

15/25 or 3/5 or 60%

Step-by-step explanation:

P(K or M) = P(K) + P(M) - P(K and M)

               = [tex]\frac{10}{25}[/tex] + [tex]\frac{10}{25}[/tex] - [tex]\frac{5}{25}[/tex]

               = [tex]\frac{15}{25}[/tex]

               = .6 or 60%


Related Questions

Help with number 4 please

Answers

48 boards

Step-by-step explanation:

length of a board = 5½ in = 11/2

Total length should be covered = 22 ft = 264 in (1ft = 12in)

total boards needed = 264 ÷11/2

= 264 × 2/11

= 24 ×2

= 48 boards

Please mark my answer the brainliest and rate me 5 star and follow me

please please please please please please

25 percent of what is 38?

Answers

Answer: 152

Step-by-step explanation:

Let the number = x.

Therefore, x*25% = 38

25% as a decimal is 0.25.

So, 0.25x = 38

We can divide both sides by 0.25:

x = 152

(75*100) / 250 with steps please

Answers

Answer:

30

Step-by-step explanation:

solution

= (75*100)/250

= (7500)/250

= 7500/250

=30

Select the correct answer.

Adam constructed quadrilateral PQRS inscribed in circle O. How can he prove PQRS is a square?



A.
He needs to show only that the diagonals are perpendicular.
B.
He needs to show only that the diagonals are perpendicular and congruent.
C.
He needs to show only that the diagonals are perpendicular and bisect each other.
D.
He needs to show that the diagonals are perpendicular, congruent, and bisect each other.

Answers

Answer: D

Step-by-step explanation:

You need to prove that the diagonals bisect each other to prove it's a parallelogram.

Now, to prove it's a square, you need to prove it's both a rectangle and a rhombus.

To prove it's a rectangle, you need to prove the diagonals are congruent.To prove it's a rhombus, you need to prove the diagonals are perpendicular.

7. The cost price of a book is $8. Find the selling price of the
book if the store's markup is 36%.

Answers

Answer:

$10.88

Step-by-step explanation:

To find the selling price, we first have to find the markup price by multiplying 8 by 36 and then dividing the product by 100.

8 × 36 = 288288 ÷ 100 = 2.88

Now, we add the markup price the cost of the book.

2.88 + 8 = $10.88.

Therefore, the selling price is $10.88.

Lily is going to invest in an account paying an interest rate of 5.6% compounded continuously. How much would Lily need to invest, to the nearest cent, for the value of the account to reach $78,000 in 9 years?

Answers

the answer is x=47766.05

Nonsense will be reported!!

With solution.​

Answers

Hopefully, I have read the problems right. The small writing is slightly blurry.

[1] Both 1 and 2 are equal to 70°

    Angle 1 and Angle 2 will be equal to each other because they are vertical angles.

    A straight line is 180°, so 180° - 110° = 70°

[2] Both 3 and 4 are equal to 99°

    Again, Angle 3 and Angle 4 will be equal to each other because they are vertical angles.

    We can solve for the other two angles by putting them equal to each other since they are also vertical angles.

3x - 15° = 2x + 17°

3x = 2x + 32°

x = 32°

-

2x + 17°

2(32)° + 17°

64° + 17°

81°

    Also again, a straight line is 180°. 180° - 81° = 99°

[3] This one has too many subparts for Brainly.

    As a hint, you will use the same methods above. Find vertical angles and use the degree of a straight line.

HELP PLS!

Susan's penny bank is 3/4 full. After she removes 280 pennies, it is 1/2 full. How many pennies can Susan's bank hold?

Answers

Answer:

390 pennies that susan is holding

Answer:

3/4x-280=x/2

-3/4x-280=x/2 find the common factor for 3/4x-280/1 which is 4 3/4x-280/1 3xby

Find the measure of the angle marked with a guestion mark using inverse trig
functions. Round your answer to the nearest degree, Enter the number only,

Answers

Answer:

37°

Step-by-step explanation:

1. Label the sides: the hypotenuse (the longest, slanted side) is 5 and the adjacent is 4. This means that we are using cosine (CAH)

2. Write out the equation: cosine or cos (?) = adjacent ÷ hypotenuse

3. Substitute in the values: cos (?) = 4 ÷ 5

4. Simplify: cos (?) = 0.8

5.  Type this into a calculator to find ?:  [tex]cos^{-1}(0.8)[/tex]

? = 36.86989... ≈ 37°

Hope this helps!

a butterfly can fly 82 feet in four seconds and a dragonfly 50 in two seconds. which is faster

Answers

Answer:

The dragonfly is 4.5 feet per second faster.

Step-by-step explanation:

Do not know what the problem is meaning

Answers

Answer:

its b

Step-by-step explanation:

Add and Subtract Decimals
Use the models to solve each equation. Match the letter of each
problem to the corresponding space below to answer the following
riddle.
The more of them you take, the more you leave behind.
What are they?

Answers

There are no pictures provided.

( Talking about the models )

Hello can someone please answer this question i will mark you the Brainliest

Answers

Answer:

155 cm2

Step-by-step explanation:

Francisco’s investment firm just opened and is hiring new stockbrokers. In the first month, he received a total of 345 applications. If he hired 1 out of every 15 applicants, how many people did he hire?

Answers

Answer: He hired a total of (23) applicants. Instruction: You have to divide the total number of applications by the number of Applicants.

Find tan(a-b)
sin a=4/5
tan b=3/4
Give the exact answer, not a decimal approximation.

Answers

Answer: 0.2916666665

Step-by-step explanation:

Answer:

[tex]\frac{7}{24}[/tex]

Step-by-step explanation:

By the Pythagorean Theorem, we know

[tex]\cos^2a=1-\sin^2a[/tex].

With this, we can find [tex]\cos a[/tex] by plugging in what we know for [tex]\sin a[/tex]:

[tex]\cos^2a=1-(\frac{4}{5})^2\\~~~~~~~~=1-\frac{16}{25}\\~~~~~~~~=\frac{9}{25}[/tex].

Taking the square root, we get

[tex]\cos a=\frac{3}{5}[/tex] .

Note: there seems to be a problem with the question? It doesn't specify what range [tex]a[/tex] lies in, so we don't know whether [tex]\cos a[/tex] is positive or negative. In this case, I assumed it was positive.

From this, we can find [tex]\tan a[/tex]:

[tex]\tan a=\frac{\sin a}{\cos a}\\~~~~~~~=\dfrac{\frac{4}{5}}{\frac{3}{5}},[/tex]

so [tex]\tan a=\frac{4}{3}[/tex].

Using the [tex]\tan[/tex] difference formula, we know

[tex]\tan (a-b)=\dfrac{\tan a -\tan b}{1+\tan a\tan b}[/tex] .

Plugging in the values we know for [tex]\tan a[/tex] and [tex]\tan b[/tex], we get

[tex]\tan(a-b)=\dfrac{\frac{4}{3}-\frac{3}{4}}{1+\frac{4}{3}\cdot\frac{3}{4}}\\~~~~~~~~~~~~~~=\dfrac{\frac{7}{12}}{1+1}\\~~~~~~~~~~~~~~=\boxed{\frac{7}{24}}~.[/tex]

Paul needs to pay two separate bills each month for one ear. He uses the expression 12(4 + 7) to represent this situation. Which
expression also represents Pauls monthly bills for one year? Pls help

Answers

is this a multiple choice question? if so what are the options

NO LINKS!!

Finding the Width of a Gorge: Find the distance from A to C across the gorge illustrated in the figure. ​

Answers

Answer:

70.02ft≈70ft

Step-by-step explanation:

Here,

∠ABC=35°

BC=100ft

AC=?

Now,

[tex]tanB=\frac{AC}{BC} \\\\[/tex][tex]tanB=\frac{AC}{BC} \\\\tan35=\frac{AC}{100ft} \\\\0.7002=\frac{AC}{100ft} \\\\100ft*0.7002=AC\\\\AC=70.02ft[/tex]

Because tan=p/b

[tex]\\ \rm\rightarrowtail cot35=\dfrac{Base}{Perpendicular}[/tex]

[tex]\\ \rm\rightarrowtail cot35=\dfrac{BC}{AC}[/tex]

[tex]\\ \rm\rightarrowtail cot35=\dfrac{100}{AC}[/tex]

[tex]\\ \rm\rightarrowtail AC=\dfrac{100}{1.43}[/tex]

[tex]\\ \rm\rightarrowtail AC=69.93ft[/tex]

6849 rounded to the nearest 100

Answers

6849 rounded to the nearest 100 would be 6800!
6849 rounded to the nearest 100 would be 6800

Hope this helps!

Nonsense will be reported!!

Plss I need solution Ty!!.​

Answers

[tex]\\ \rm\Rrightarrow \sqrt{36x^{21}y^{64}}=6y^8x^{10.5}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt[15]{7^{10}a^{25}b^{-35}}=7^{2/3}a^5b^{-7}{3}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt[3]{648(3m-2n)^{64}}=648^{1/3}(3m-2n)^4[/tex]

[tex]\\ \rm\Rrightarrow \sqrt[4]{(a^2-2a+1)^{29}(a^2-1)^7}=(a^2-a+1)^{29/4}(a^2-1)^{7/4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{3a^2b}{\sqrt[3]{18a^{21}b^{17}}}=\dfrac{3a^2b}{18^{1/3}a^7b^{17/3}}=\dfrac{3a^{-5}b^{-14/3}}{18^{1/3}}=\dfrac{3}{18^{1/3}a^5b^{14/3}}[/tex]

can someone help me with this

Answers

Aye man , who wants to give me points

Scupper Molly invested $1,800 semiannually for 23 years at 8% interest compounded semiannually. What is the value of this annuity
due? (Please use the following provided Table.) (Round your answer to the nearest cent.)
Annuity due

Answers

Answer:

the amount of a $3,000.00 annuity due at 12 percent compounded semiannually for 3 years. A. $334,321.00 B. $43,068.93 C. $22,180.50 D. $41,814.50

The amount of the annuity due in 23 years with 8% of interest compounded semiannually is $62053.35.

What is compound interest?

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

Scupper Molly invested $1,800 semiannually for 23 years at 8% interest compounded semiannually.

Then the amount of the annuity due will be

[tex]\rm A = 1800 (1 + 0.08)^{2\times 23}\\\\A = 1800 (1.08)^{46}\\\\A = 1800 \times 34.474\\\\A = 62053.35[/tex]

More about the compound interest link is given below.

https://brainly.com/question/25857212

Area + circumference of circle

Answers

Answer:

153.86 cm² and 43.96

Step-by-step explanation:

The formula to find the area of a circle is A = πr²
A = 3.14(7)²
A = 3.14(49)
A = 153.86
To find the circumference, use the formula C = π2r
C = 3.14*2*7
C = 43.96
The area of the circle is 153.86 cm² and the circumference of the circle is 43.96.
Hope this helps :)

Round 822,119 to the nearest ten thousand.

Answers

Answer:

820,000

Step-by-step explanation:

2 is lower than 5 so round down to 20

Pls Brainliest If Helps

Answer:

820,000

Step-by-step explanation:

The 10,000 digit is the 2 on the left.

All digits to the right of the left 2 become zero.

820,000

The first digit that is dropped is the right 2.

Since it is not 5 or more, the 2 that is kept does not go up to 3.

Answer: 820,000

ACTUALLY GUVW ME THE ANSWERS I NEED!!!!
A diver is standing on a platform 24 ft above a pool. He jumps from the platform with an initial
upward velocity of 8 ft/s. Using the formula, h(t) = -16t2 + vt + s, where h is his height
above the water, t is the time, v is his starting upward velocity, and s is his starting height.
A) After how long will the diver reach its maximum height?
B) What is the maximum height the diver will reach?

Answers

Answer:

A) t = 0.25 s

B) h = 25 m

Step-by-step explanation:

Given equation:  [tex]h(t) = -16t^2 + vt + s[/tex]

where:

h = height above water (in feet)t = time (in seconds)v = initial upwards velocity = 8 ft/ss = initial height = 24 ft

A)  To find the value of t when h is at its maximum, differentiate the equation with respect to t:

[tex]\implies h'(t)=-32t+v[/tex]

Substitute given value of v:

[tex]\implies h'(t)=-32t+8[/tex]

Set to zero and solve for t:

[tex]\implies -32t+8=0[/tex]

[tex]\implies t=0.25 \textsf{s}[/tex]

B)  Substitute the found value for t into the equation and solve for h:

[tex]\implies h(0.25) = -16(0.25)^2 + 8(0.25) + 24[/tex]

[tex]\implies h(0.25) = -1 + 2 + 24[/tex]

[tex]\implies h(0.25) =25 \textsf{ m}[/tex]

whats a^2=4/25 in square root form

Answers

Answer:

a = ± [tex]\sqrt{\frac{4}{25} }[/tex]

Step-by-step explanation:

[tex]a^{2} =\frac{4}{25}[/tex]

[tex]\sqrt{a^{2} } =\sqrt{\frac{4}{25} } \\|a|=\sqrt{\frac{4}{25} \\[/tex]

a = ± [tex]\sqrt{\frac{4}{25} }[/tex]

Find the missing side lengths. Answers are in simplest radical form with the
denominator rationalized.

Answers

Step-by-step explanation:

Given is the 30°x60°x90° right triangle.

The ratio of its sides is:

1 : √3 : 2

Find the missing sides using the ratio above:

x = 2*2√6 = 4√6y = 2√6*√3 = 2*3√2 = 6√2

Answer:

[tex]\sf x = 4\sqrt{6}[/tex]   and   [tex]\sf y = 6\sqrt{2}[/tex]

step-by-step explanation:

given:

opposite length: yadjacent length: 2√6hypotenuse length: x

using tan rule:

[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

[tex]\sf tan(60)= \dfrac{y}{2\sqrt{6} }[/tex]

[tex]\sf tan(60)*{2\sqrt{6}= y[/tex]

[tex]\sf y = 6\sqrt{2}[/tex]

using cosine rule:

[tex]\sf cos(x)= \dfrac{adjacent}{hypotensue}[/tex]

[tex]\sf cos(60)= \dfrac{2\sqrt{6} }{x}[/tex]

[tex]\sf x= \dfrac{2\sqrt{6} }{cos(60)}[/tex]

[tex]\sf x = 4\sqrt{6}[/tex]

Use the circle below to answer the question.
Q
R
680
Р
C
S
The Circle is centered at point C. Line segment PQ is parallel to SR.
What is the measure of angle QPS?

Answers

The measure of angle QPS in circle C is 112°

What is a circle?

A circle is the locus of a point such that its distance from a fixed point known as the circle center is always constant. The sum of angles in a circle is 360 degrees.

From the circle:

PQ is parallel to SR, hence: ∠PQR + ∠QRS = 180°

∠PQR + 68 = 180

∠PQR = 112°

Also, PS =  QR (from the endpoint of  the diameter), hence:

∠QPS = ∠PQR = 112°

The measure of angle QPS in circle C is 112°

Find out more on circle at: https://brainly.com/question/24375372

Every morning Jessica drinks one fifth of a quart of orange juice how many mornings would Jaze have oranges for if she only has a total of one and 4/5 quarts of orange juice

Answers

Answer:

9 more mornings Jessica can drink orange juice

Step-by-step explanation:

1 4/5 = 1/5x

9/5  = 1/5 (divided below)

1/5       1/5

9/5  divided 1/5 = x

x = 9/5 x 5/1 = 45/5

45/5 divide by 5 = 9/1

long division and you get 9

hope this helps!

Answer:

The answer is 9

Step-by-step explanation:

gina wilson unit 7 homework 3 second page document

Answers

Answer:

4) 14.5

6) 11.4

Step-by-step explanation:

4) Area = 20 * 21/2 = 29 * x/2

so x = 20 * 21/29 = 14.5

6) Area = 22.4 * 13.2/2 = 26 * x/2

so x = 22.4 * 13.2/26 = 11.4

g(t)=-3t^2+2t-5 and h(t)=4t+3

Find:
h(t)-g(t) , g(3)+h(3) , (g-h)(2) , g(-1)-h(2) , (g•h)(3) , g(2)+h(4) , g(1)•h(-1)

Answers

Answer:

If this is the problem

g(t) = t2 - 3t and h(t) = 3t - 4

g[ h(t) ] = (3t-4)2 - 3 (3t-4)

g[ h(t) ] = 9t2 - 24t + 16 - 9t + 12

g[ h(t) ] = 9t2 - 33t + 28

Other Questions
Why did the fleeing women have trouble breathing? I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS Round 34,528 to the nearest hundred. Write the comma (",") in your final answer. Please help with this. Ill give 15 points Here is a picture of a cube, and the net of this cube.What is the surface area of this cube?Enter your answer in the box. What is the explicit formula for the geometric sequence: 4, 20, 100, 500, .... In paragraph 2, what is the author's main reason for including the anecdote about MattieStepanek?A Stepanek wrote poetry for high-school students.B Stepanek encouraged people to publish their writing.C Stepanek inspired others to overcome personal obstacles.D Stepanek helped others deal with physical challenges. PLEASE HELP I REALLY REALLY NEED HELP I'll literally give someone brainlest if they get the question right Do this sound right? I didnt say that you said that if not, please correct my grammar for me. perimeter of 8yd 9yd 5yd 5yd "WHAT I CAN DO"*STORY*"THE GARDEN OF PROSERPINE"THERE GO THE LOVE'S THE WITHER THE OLD LEGS WITH WEARIER WINGS;AND ALL DEAD YEARS DRAW THITHER , AND ALL DISASTROUS THING;DEAD DREAMS OF DAYS FORSAKEN,BLIND BUDS THAT SNOW'S HAVE SHAKEN,WILD LEAVES THAT WINDS HAVE TAKEN, RED IS STRAY'S OF RUINED SPRINGS.1.) WHAT MOON DO THE DETAILS IS THE POEM CONVEY?A. WASTEFULNESS AND EXCESS.B. HAPPINESS.C. SADNESS AND DESPAIR.D. MISTRUST. Gavin drives at a speed of 70 miles per hour.How long will it take to drive 245 miles? What would you NOT do in the library?trabajarescucharestudiarcantar By adding, removing or changing one of the nucleotides (Adenine, Thymine, Guanine, Cytosine or Uracil) what changes do you think might happen to the process in transcription or translation? * 1.Discuss Women's roles in thewar (WWI) effort, and explain howthe war influenced the women'ssuffrage movement.2.Why does the concept of childlabor in factories seem so terribleto us today when it was a widelyaccepted practice in the late1800's?3.How did immigrants help the USbecome the country it is today?4.Compare and contrast theideologies of Booker T. Washingtonand W.E.B. Du Bois. Can someone please tell me if this is all good so far? How can rain provide minerals for a rain forest in South America? Car insurance companies want to keep track of the average cost per claim. The current data in use for Auto Insurance R Us is an average of $2,200 for each claim with a standard deviation of $500. With this average, the company can stay competitive with rates but not lose money. However, the statistician for the company believes that the cost of the average claim has increased. He pulled 40 recent claims and found the average to be $2,350. Which most restrictive level of significance would suggest that the company should raise rates? Upper-Tail Values a 5% 2. 5% 1% Critical z-values 1. 65 1. 96 2. 58 1% 2. 5% 5% 10%. Which of the four chromosome mutations do you think would have themost dramatic effect on an organism. Why? can someone please explain how to do this