Jacob's piggy bank has
18 quarters, 20 dimes, 24 nickels,
and 43 pennies. He chooses a coin,
does not replace it, then chooses
another. What is the probability
that he chose a dime then
a nickel?

Answer:

5.51 cm

Step-by-step explanation:

Answer:

Faster runner speed: 11 mph

Slower runner speed: 9 mph

Distance from starting point: 9.9 miles

Step-by-step explanation:

Let the slower runner speed be: x

Faster runner speed: x+2

1 hour 6 minutes = 1.1 hours

Slower: 1.1(x) = 1.1x miles

Faster: 1.1(x+2) = 1.1x+2.2 miles

This means that the faster runner had gone 2.2 miles more than the slower runner.

1.1x + 2.2 > 11 miles (This is true as we know the faster runner is coming back from the 11 mile run)

1.1x > 11 - 2.2 miles

1.1x > 8.8 miles

x > 8.8 / 2.2 miles

x > 8 mph

1.1x < 11 miles (we know this is true as the slower runner has to have gone less than 11 miles as the faster runner met him on his way back)

x < 11 / 1.1 miles

x < 10 miles

8 < x < 10

Although x could be any number including decimal between 8 and 10, the obvious first answer would be 9. However we need to check if this answer is correct.

Slower runner distance to the end:

1.1(9) = 9.9 miles

11 - 9.9 = 1.1 miles

Faster runners distance from the end (when coming back)

1.1(9+2) = 1.1(11) = 12.1 miles

12.1 - 11 = 1.1 miles

The speeds 9 mph and 11 mph are now proven to be the right speeds. Using our equation before, we can figure out the distance from the starting point that they meet at. This is just how far the slower runner has gotten. So, 1.1(9) = 9.9 miles from the starting point

Answer:

h = 7.333

Step-by-step explanation:

Answer: 7

Step-by-step explanation: I'm not sure about the actual mathematical explanation but I just took the quiz and I'm in the review right now :D

Answer:

$485890

Step-by-step explanation:

Given

Estimated Sales Volume =46.63+0.47(Advertising Expenditures)

Required

Find the allocated amount for advertising expenditure when target sales is $275000

Represent the sales volume with V and The advertising expenditure with a.

So, the expression is:

[tex]V = 46.63 + 0.47A[/tex]

Since the expression is in thousands, substitute 275 for V

[tex]275 = 46.63 + 0.47A[/tex]

Collect Like Terms

[tex]275 - 46.63 = 0.47A[/tex]

[tex]228.37= 0.47A[/tex]

Make A the subject

[tex]A = \frac{228.37}{0.47}[/tex]

[tex]A = 485.89[/tex]

Hence, $485890 should be allocated for advertising

Answer:

Its b,c,d

Step-by-step explanation:

Answer:

f= -14

Step-by-step explanation:

Answer:

f= -14

Step-by-step explanation:

Answer:

Step-by-step explanation:

square root of 15 is 3.8=irrational

square root of 21 is 4.58=irrational

square root of -9 is doesn't have a real square root

square root of 14 is 3.7 =irrational

Answer: x intercept = 6

This is the location (6,0)

===============================================================

Explanation:

I assume you're talking about the boundary line of the inequality. The boundary line equation is 2x + 3y = 12

To find the x intercept, plug in y = 0 and solve for x

2x + 3y = 12

2x + 3(0) = 12

2x = 12

x = 12/2

x = 6

The boundary line 2x+3y = 12 crosses the x axis at x = 6.

We can say the x intercept is x = 6. This is the location (6,0).

Side note: the y intercept is y = 4, which is found by plugging in x = 0 and solving for y.

Answer:

PS = 116

Step-by-step explanation:

Given:

PR = 6x + 16

RS = 12x - 26

Required:

Find PS

Solution:

Since R is the midpoint of PS, therefore,

PR = RS

6x + 16 = 12x - 26

Collect like terms

6x - 12x = -16 - 26

-6x = -42

Divide both sides by -6

x = -42/-6

x = 7

✔️PS = PR + RS (segment addition postulate)

PS = 6x + 16 + 12x - 26

Plug in the value of x

PS = 6(7) + 16 + 12(7) - 26

PS = 42 + 16 + 84 - 26

PS = 116

Answer:

B) 0.283

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

25% of the students drive themselves to school.

This means that [tex]p = 0.25[/tex]

Class of 18 students

This means that [tex]n = 18[/tex]

What would be the probability that at least 6 students drive themselves to school?

This is

[tex]P(X \geq 6) = 1 - P(X < 6)[/tex]

In which

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{18} = 0.006[/tex]

[tex]P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{17} = 0.034[/tex]

[tex]P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{16} = 0.096[/tex]

[tex]P(X = 3) = C_{15,3}.(0.25)^{3}.(0.75)^{15} = 0.17[/tex]

[tex]P(X = 4) = C_{15,4}.(0.25)^{4}.(0.75)^{14} = 0.213[/tex]

[tex]P(X = 5) = C_{15,5}.(0.25)^{5}.(0.75)^{13} = 0.199[/tex]

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.006 + 0.034 + 0.096 + 0.17 + 0.213 + 0.199 = 0.718[/tex]

[tex]P(X \geq 6) = 1 - P(X < 6) = 1 - 0.718 = 0.282[/tex]

Closest option is B, just a small rounding difference.

Answer:

36

Step-by-step explanation:

36/4 = 9 wish this helps!

Answer:

square root of 81.

Step-by-step explanation:

Answer:

.........................................................................................................................................................................

Step-by-step explanation:

Answer:

4 2/3

Step-by-step explanation:

hope this helps you in any way

Given:

Base area of cone =20 m²

Volume of the cone = 160 m³

To find:

The height of the cone.

Solution:

We know that, the volume of a cone is

[tex]V=\dfrac{1}{3}Bh[/tex]

Where, B is the base area and h is the height of the cone.

Putting V=160 and B=20, we get

[tex]160=\dfrac{1}{3}(20)h[/tex]

[tex]480=20h[/tex]

[tex]\dfrac{480}{20}=h[/tex]

[tex]24=h[/tex]

Therefore, the height of the cone is 24 m.

Answer:

B = 6(4 + 5)

Step-by-step explanation:

GCF = The greatest common factor, example: GCF of 12 and 16 = 12 is divisible by all of these numbers. The factors for 16 are 1, 2, 4, 8, 16. The two numbers (12 and 16) share common factors (1, 2, 4). The greatest of these is 4 and that is the greatest common factor.

Distributive property = allows us to multiply the number by a group of numbers, which are added together. The distributive property is given by: a(b+c) = ab + ac

The Greatest Common Factor of 24 and 30 is 6 because it is the largest number they have together (24 = 6*4 and 30 = 6*5)

24 divided by 6 = 4

30 divided by 6 = 5

This fits B the most: 6(4 + 5)

The answer is B, I hope this helps!

Answer:

[tex]a_4 = -108[/tex]

Step-by-step explanation:

Given

[tex]a_n = -3a_{n-1}[/tex]

[tex]a_1 = 4[/tex]

Required

Find [tex]a_4[/tex]

[tex]a_4 = -3a_{4-1}[/tex]

[tex]a_4 = -3a_3[/tex]

We calculate for a3

[tex]a_3 = -3a_{3-1}[/tex]

[tex]a_3 = -3a_2[/tex]

Calculate for a2

[tex]a_2 = -3a_{2-1[/tex]

[tex]a_2 = -3a_1[/tex]

Substitute 4 for a1

[tex]a_2 = -3*4[/tex]

[tex]a_2 = -12[/tex]

Substitute -12 for a2 in [tex]a_3 = -3a_2[/tex]

[tex]a_3 = -3 * -12[/tex]

[tex]a_3 = 36[/tex]

Substitute 36 for a3 in [tex]a_4 = -3a_3[/tex]

[tex]a_4 = -3*36[/tex]

[tex]a_4 = -108[/tex]

Answer:

A) (0,2)

Step-by-step explanation:

The Y-Intercept is where the line on the coordinate plane meets the y axis which in this case is 2

Answer:

A. (0, 2)

Step-by-step explanation:

So first things first, you will want to either put the line on a graph by hand or, in a graphing calculator, I recommend DESMOS

the table is a set of coordinates so

(-4, -18) (-2.5, -10.5) (-.4, 0) (0, 2) (2, 12)

Then you'll put these coordinates into a graph and the point you see touching the y-line is your answer, (0, 2)

hope this helps!!

Answer:

219/50 or 4.38

Step-by-step explanation:

divide

Answer:

A+A+B+B+B+C+C+D

Step-by-step explanation:

it's just the letter wrote the amount of times the number says

Answer:

x= 30

Step-by-step explanation:

find the corresponding ratio AD:EH

20:12=5:3

is it constant? yes because 15:9 is also 5:3

if we're trying to find x on the larger side, we do x:18

what divides into 18 to equal 3? 6

we take 6 times 5 =30 so the ratio is now 30:18=5:3 so we know its correct

Answer:

$354

Step-by-step explanation:

first we need to find out how much 1 lb of can is then we can multiply that by 200 to get the answer.

so I divided 43 by 23.65 and got 1.81818181

i'll round that to $1.82 so that equals 1 lb of a can

multiply that by 200

the answer is $354

For recycling 200 pounds of cans, he will get $110.

Given is that Carlos saves aluminum cans to sell to the recycling center. He recently recycled 43 pounds of cans and received $23.65.

For 43 pounds, he recieved $23.65

For 1 pound, he will receive $(23.65/43)

For 200 pounds, she will receive $(23.65/43) x 200 or $110.

Therefore, for recycling 200 pounds of cans, he will get $110.

To solve more questions on functions, expressions and equation modelling, visit the link below -

brainly.com/question/17421223

#SPJ2

i think part of this question is missing between “at the city zoo” and “of the zoo.”

but i think the answer could be a.

because if there are 4 different monkeys, and they all got 1/4 of space, it would be equal.

Answer:

a.) P(duel end in round 1 ) = 0.892

b.) P(duel ends in the 3rd round) = 0.010

c.) P(duel ends in a draw) = 0.418

Step-by-step explanation:

Let

P(A) - Probability that Student A will hit the green.

P(¬A) - Probability that Student A will miss the green.

P(B) - Probability that Student B will hit the green.

P(¬B) - Probability that Student B will miss the green.

Given,

P(A) = 0.55 , P(B) = 0.76

As we know that,

P(A) + P(¬A) = 1

⇒P(¬A) = 1 - P(A)

            = 1 - 0.55

            = 0.45

⇒P(¬A) = 0.45

And

P(B) + P(¬B) = 1

⇒P(¬B) = 1 - P(B)

            = 1 - 0.76

            = 0.24

⇒P(¬B) = 0.24

So, we get

P(A) = 0.55 , P(B) = 0.76

P(¬A) = 0.45, P(¬B) = 0.24

a.)

P(duel end in round 1 ) = P( both hit on green or only one hit on green )

                                     = P(A).P(B) + [ P(A).P(¬B) + P(¬A).P(B) ]

                                     = 0.55(0.76 ) + [ 0.55(0.24) + 0.45(0.76) ]

                                     = 0.418 + [ 0.132 + 0.342 ]

                                     = 0.418 + [ 0.474 ]

                                     = 0.892

⇒P(duel end in round 1 ) = 0.892

b.)

P(duel ends in the 3rd round) = P( duel miss green in 1st round × duel miss green in 2nd round × both hit on green or only one hit on green in 3rd round )

                                                = [ P(¬A).P(¬B) ] × [ P(¬A).P(¬B) ] × { P(A).P(B) + [     P(A).P(¬B) + P(¬A).P(B) ] }

                                               = [ 0.45(0.24) ] ×  [ 0.45(0.24) ] × { 0.55(0.76 ) + [ 0.55(0.24) + 0.45(0.76) ] }

                                               = [ 0.108 ] ×  [0.108] × { 0.418 + [ 0.132 + 0.342 ] }

                                               = 0.011664 × 0.892

                                               = 0.010404 ≈ 0.010

⇒P(duel ends in the 3rd round) = 0.010

c.)

P(duel ends in a draw) = P(both students' shots land on the green)

                                     = P(A).P(B)

                                     = 0.55(0.76)

                                     = 0.418

⇒P(duel ends in a draw) = 0.418

Answer:

Step-by-step explanation:

Here are your workings

4.87 x 7.23  simplify

Step 2

(4.87)(7.23)  Add brackets(Optional)

Then you multiply the two exponents to get 35.2101

Your answer would be 35.2101

Answer:

2

Step-by-step explanation:

abshxhdbxbjsbxbsbxnd

Answer:

Bbc

Step-by-step explanation:

Answer:

C. OBTUSE

Step-by-step explanation:

2. Paris was the son of the king and queen of Troy. When he was born, his mother dreamed that she was giving birth to a flaming torch. Fearful that this was a bad omen, King Priam ordered that the child be left on a hillside to die.

the answer is a. There is 1 as a right angle.

Answer:

its 300

Step-by-step explanation: