The entrance ticket for a carnival costs $89.97, which includes a royal meal
that costs $10.85, 1 play station game, and 3 water rides (Each water ride
costs the same price). The cost of a water ride is twice as that of a play
station game. Find the cost of a water ride. Estimate to the nearest tenths.

Answer: 150 degrees

Step-by-step explanation: 10+ 20 = 30

180-30 = 150 degrees.

The probability that a randomly chosen light bulb will last less than 1460 hours is 0.0322, rounded to the nearest thousandth

The formula for calculating the z-score is:

z = (x - μ) / σ

Where: x = the value we want to find the probability

μ = the mean of the distribution.

σ = the standard deviation of the distribution.

Now for the probability that a randomly chosen light bulb will last less than 1460 hours,

Here, x = 1460

μ = 1600

σ = 75

Plugging in the values, we get:

z = (1460 - 1600) / 75

= -1.8667

Now, The cumulative probability represents the area under the curve to the left of the z-score.

Looking up the z-score -1.8667 in the standard normal distribution table, we find that the cumulative probability is 0.0322.

Therefore, the probability that a randomly chosen light bulb will last less than 1460 hours is 0.0322, rounded to the nearest thousandth.

To learn more about the probability visit:

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Answer:

ushshdbs the 7th century there where the gall bladder and merchants Bank Ltd bank in the 7th

Answer:

(0,4)  will be point (P) at 3 because,

Step-by-step explanation:

by using newton interpolation method we can find P(0,4) at 3 .

Mark as braianlist

15 multiple by 5 equal 75 -390 equal 315 -15equal 200

Answer:

4% and 5% respectively

Step-by-step explanation:

Let the intrest rate be x in the first account at x% and (x+1)% in the second account.

ATQ, 100=(x)*1500/100+(x+1)*800/100

x=4.

Answer: Hello your question is incomplete attached below is the missing

n ( 1 + n )

Step-by-step explanation:

P( Bob hits target ) = 1/3

P( Eve hits target ) = 2/3

P( Carol hits target ) = 1

Compute the P that Bob wins in a duel against Eve alone

P(Bob hits the target in first shot ) = n = 1/3

P(Bob hits the target in second shot ) = n^2 = ( 1/3 * 1/3 ) = 1/9

hence the probability of Bob winning( i.e. P( Bob wins Event E1  ) = n + n^2 = n ( 1 + n )

Answer:

15.56

Step-by-step explanation:

Given the vectors ||u|| = 5√2 units, and ||v|| = 6√2 units.

||u + v|| ≈  5√2 +  6√2

||u + v|| ≈  (5+6)√2

Since √2≈ 1.4142

||u + v|| ≈   11(1.4142)

||u + v|| ≈  15.56

Hence the correct option is D

Answer: 11.05

Step-by-step explanation: got it right

Answer:

[tex]Domain = (-\infty,\infty)[/tex]

[tex]Range = (0,1)\\[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \sin|x|[/tex]

Solving (a): The domain

There is no restriction on the given function because it is not a root function and doesn't have a x denominated fraction

Hence, the domain is:

[tex](-\infty,\infty)[/tex]

Solving (b): The range

The minimum of a sine function is 0

The maximum of a sine function is 1

So, the range is:

[tex](0,1)[/tex]

Answer:

This is a 30-60-90 right triangle.

The ratio of sides:

Compare with the given values:

Answer:

A. 45 and 135

Step-by-step explanation:

Recall: two angles on a straight line forms a linear pair. The pair sum up to 180°.

Thus:

✔️c° + 3c° = 180°

4c = 180

Divide both sides by 4

4c/4 = 180/4

c = 45°

✔️3c = 3(45) (substitution)

= 135°

Answer:

(a)The probability that both marbles are blue=5/18

The probability that both marbles are yellow=1/6

(b)The probability that exactly one marble is blue​=5/9

Step-by-step explanation:

Blue marbles=5

Yellow marbles=4

Total marbles=5+4=9

(a)

Probability of drawing first  blue marble=5/9

Probability of drawing second blue marble without replacement=4/8

The probability that both marbles are blue

[tex]=\frac{5}{9}\times \frac{4}{8}=\frac{5}{18}[/tex]

Probability of drawing first  yellow marble=4/9

Probability of drawing second yellow marble without replacement=3/8

The probability that both marbles are yellow

[tex]=\frac{4}{9}\times \frac{3}{8}=\frac{1}{6}[/tex]

(b)

The probability that exactly one marble is blue​

=Probability of first blue marble (Probability of second yellow marble)+Probability of first yellow marble (Probability of second blue marble)

The probability that exactly one marble is blue​

=[tex]\frac{5}{9}\times \frac{4}{8}+\frac{4}{9}\times \frac{5}{8}[/tex]

=[tex]\frac{5}{18}+\frac{5}{18}[/tex]

=[tex]\frac{10}{18}=\frac{5}{9}[/tex]

Answer:

it simple as look

Step-by-step explanation:

He y I a m r a v I t ha n k S

Wowowowowowowowowk

Answer:

a<5

Step-by-step explanation:

11-2a>1

-2a>1-11

-2a>-10

a<5

The question is incomplete. The complete question is :

A lottery offers one $800 prize, one $700 Prize, two $800 prizes, and four $100 prizes. One thousand tickets are sold at $5 each. Find the expectation if a person buys two tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.

The expected if a person buys two tickets is $__

Answer:

$ -1.52

Step-by-step explanation:

Given :

A lottery offers --

One $800 prize

One $700 prize

Two $800 prize

Four $100 prizes

Let X = net win

    X          P(X)

  795      1/1000

  695      1/1000

  795      2/1000

   95      4/1000

    -5     996/1000

[tex]$E(X) = \sum X \ p(X)$[/tex]

         [tex]$=795 \times \frac{1}{1000} + 695 \times \frac{1}{1000} + 795 \times \frac{2}{1000} + 95 \times \frac{4}{1000} + (-5) \times \frac{996}{1000}$[/tex]

         = 0.795 + 0.695 + 1.59 +  0.38 - 4.98

         = $ -1.52

Answer:

Step-by-step explanation:

C = 59.4

Fixed Cost (F) = 25

C = 25 + 0.4*x                    Solve for x

59.40 = 25 + 0.4x              Subtract 25

34.4  = 0.4x                        Divide by .4

34.4/0.4 = x

x = 86 miles

Answer:

the last two answers are the only correct ones

9514 1404 393

Answer:

  (b) √65

Step-by-step explanation:

The modulus of a complex number is the root of the sum of the squares of the real and imaginary parts.

  |1 -8i| = √(1² +(-8)²) = √(1+64) = √65

Answer:

4y-3=0

4y = 3

y = 3/4

Step-by-step explanation:

1. equal to zero so you can start moving to the other side

2. bring three over becomes positive.

3. divide by 4 to let y stand alone, remember you are solving for the y.

that's all!

Answer:

-59,844,616

563,576

Step-by-step explanation:

it is very simple bro

Notice that the condition x ≠ 2πk for (presumably) integer k means cos(x) ≠ ±1, and in particular cos(x) ≠ 1 so that we could divide both sides by (1 - cos(x)) safely. Doing so lets us separate the variables:

(1 - cos(x)) y' - y sin(x) = 0

==>   (1 - cos(x)) y' = y sin(x)

==>   y'/y = sin(x)/(1 - cos(x))

==>   dy/y = sin(x)/(1 - cos(x)) dx

Integrate both sides and solve for y. On the right, substitute u = 1 - cos(x) and du = sin(x) dx.

∫ dy/y = ∫ sin(x)/(1 - cos(x)) dx

∫ dy/y = ∫ du/u

ln|y| = ln|u| + C

exp(ln|y|) = exp(ln|u| + C )

exp(ln|y|) = exp(ln|u|) exp(C )

y = Cu

y = C (1 - cos(x))

Answer:

Yes, the graph is a function.

Vertical line test proves so.

Answer:

-4

Step-by-step explanation:

a1 = -8

an = an-1 +2

a2 = a1+2 = -8+2 = -6

a3 = a2+2 = -6+2 = -4

Answer: See explanation

Step-by-step explanation:

The null hypothesis H0: The null hypothesis states that there is no relationship between the two things that are being considered.

The alternative hypothesis is contradictory to H0 and it explains that there is a relationship between the two selected variables.

Based on the question, the null hypothesis H0 is that the rating of car is equal to 46.7 miles per gallon. μ = 46.7 MPG

The alternative hypothesis Ha is that the rating of the car is not equal to 46.7 Miles per gallon. μ ≠ 46.7 MPG

Answer:

Mean of sampling distribution = 50

Standard deviation of sampling distribution, = 0.625

Step-by-step explanation:

Given :

Mean, μ = 50

Standard deviation, σ = 5

Sample size, n = 64

The mean of sampling distribution, μxbar = population mean, μ

μxbar = μ

According to the central limit theorem, the sampling distribution converges to the population mean as the sample size increases, hence, , μxbar = μ = 50

Standard deviation of sampling distribution, σxbar = σ/√n

σxbar = 5/√64 = 5 / 8 = 0.625

Answer:

Assuming order does not matter, the probability of selecting all midsize cars is 0.000277373, or [tex]\frac{4}{14421}[/tex].

Step-by-step explanation:

First, we must find the n(Total arrangements of selections)=(8+15)C6

n(Total arrangements of selections)=23C6

n(Total arrangements of selections)=100,947

Second, we must find the n(Arrangements where all are midsize cars)=8C6

n(Arrangements where all are midsize cars)=28

To find the probability of selecting all midsize cars, we divide the n(Arrangements where all are midsize cars) by the n(Total arrangements of selections):

P(All midsize cars)= [tex]\frac{28}{100,947}[/tex]

P(All midsize cars)= [tex]\frac{4}{14421}[/tex]=0.000277373.

Let the number be x

ATQ

[tex]\\ \sf\longmapsto 10x+5x=90[/tex]

[tex]\\ \sf\longmapsto (10+5)x=90[/tex]

[tex]\\ \sf\longmapsto 15x=90[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{90}{15}[/tex]

[tex]\\ \sf\longmapsto x=6[/tex]

Answer:

30 cm

Step-by-step explanation:

Since the length of tangents drawn from a point are equal, the perimeter is 3+3+9+9+3+3=30

Answer:

30 centimeter

Answer:

300 liters

Step-by-step explanation:

1000(0.65) = 650 liters of the solution was alcohol

1000.(1 - 0.65) = 350 liters was the other solute.

A 50% solution would have equal parts of each or 350 liters each.

650 - 350 = 300 liters of alcohol must be removed.