Identify the multiplication problem that matches the model.

Using probability concepts, we have that:

a) The probability of selecting a card is of \(\frac{1}{3}\).

b) \(\frac{3}{4}\) probability that on any turn you will not get to spin again.

c) Losing a turn is more likely.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Item a:

The sum of all probabilities, which are 1/4, 5/12 and x(selecting a card) is 1, hence:

\(\frac{1}{4} + \frac{5}{12} + x = 1\)

\(\frac{8}{12} + x = 1\)

\(\frac{2}{3} + x = 1\)

\(x = \frac{1}{3}\)

The probability of selecting a card is of \(\frac{1}{3}\).

Item b:

\(\frac{1}{4}\) probability of spinning again, hence:

\(p = 1 - \frac{1}{4} = \frac{4}{4} - \frac{1}{4} = \frac{3}{4}\)

\(\frac{3}{4}\) probability that on any turn you will not get to spin again.

Item c:

The probability of selecting a card is of \(\frac{1}{3} = 0.3333\).

The probability of losing a turn is \(\frac{5}{12} \approx 0.4\), hence it is more likely.

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Answer:

is it to late now??

Step-by-step explanation:

f(0) = 13

f(2) = -1

f(-2) = 19

f(1) + f(-1) = 24

for f(0): we will substitute x with 0 in the function

for f(2): we wil substitute x with 2 in the function

for f(-2): we will substitute x with -2 in the function

for f(1) + f(-1): we will find f(1) and f(-1) seperately, then we will sum the result

Answer:

12 yards per second = 36 feet per second

Formula: multiply the value in yards per second by the conversion factor '3'.

So, 12 yards per second = 12 × 3 = 36 feet per second.

Step-by-step explanation:

To calculate a yard per second value to the corresponding value in ft/s, just multiply the quantity in yd/s by 3 (the conversion factor).

Here is the formula:

Value in ft/s = value in yd/s × 3

Suppose you want to convert 12 yd/s into ft/s. Using the conversion formula above, you will get:

Value in ft/s = 12 × 3 = 36 ft/s

Answer:

y=-3(x+0)^2 +1

Step-by-step explanation:

hope this helps

Answer:

2 1/4

Step-by-step explanation:

The denominator is the exact same number as the denominator in the original improper fraction; in this case, 4. So 9/4 equals 2 1/4.

As a result of Charles investing both locally and internationally, C.  If one market fails to perform, the other market may continue to provide returns

When Charles invested in both local and international stock, he engaged in a process known as diversification.

Diversification reduces risk because there is a chance that when some stock are not performing well, others will be because they are not affected by the same things.

Charles's stock will not be affected by the same things such that when the domestic stock isn't doing well, the international stocks might be doing well.

In conclusion, option C is correct.

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Answer:

Select the correct answer.

Charles is planning to buy both domestic and international stock to add to his portfolio. What benefit will he gain from including both kinds of investments?

A.

His investments in the international market will be affected if his domestic stocks don’t perform well.

B.

High exchange rates in the international market will boost his domestic investments.

C.

If one market fails to perform, the other market may continue to provide returns.

D.

The domestic stocks will make the currency exchange rate among international stocks easier to manage.

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

x^3=27

x^3=3^3

x=3

Traveling at a speed of 1000 miles per hour for 7.5 * 10⁵ hours would result in traveling a distance of 7.5 * 10⁸ miles.

To calculate the distance traveled, we can multiply the speed by the time traveled.

Speed = 1000 miles per hour

Time = 7.5 * 10⁵ hours

Distance = Speed * Time

Distance = 1000 miles/hour * 7.5 * 10⁵ hours

To perform this calculation, we can multiply the numerical values and keep the scientific notation for the result:

Distance = 1000 * 7.5 * 10⁵ miles

Distance = 7.5 * 10⁸ miles

Therefore, traveling at a speed of 1000 miles per hour for 7.5 * 10⁵ hours would result in traveling a distance of 7.5 * 10⁸ miles.

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Answer:

Step-by-step explanation:

-Start by distributing the 2, -2(3m+1/2).

-Getting -6m-1, your equation should look like -40-6m-1=7m-2

-Combine -40 and -1 to get -41, and then add the -6m to the other side.

-The equation should look like -41=13m-2. Add the 2 to the -41 to get -39.

-Now, we have -39=13m. divide both sides by 13 to get m=-3.

A midwife delivers 10 babies, with 50% chance of delivering a boy and 50% of delivering a girl. The probability that 6 out of 10 babies will be boys is 20.5%

The problem can be solved using binomial distribution, that is the probability of 2 possible outcomes in a number of trials.

The formula is given by:

P(x) = ⁿCx . P^x . (1 - P)^(n-x)

x = total number of event A

n = number of trials

P = probability of A in a single trial

Parameters given in the problem:

n = 10

x = 6

P = 50% = 0.5

Plug these parameters into the formula:

P(6 boys) = ¹⁰C₆ . (0.5)⁶ .  (0.5)⁴

                = 0.205 = 20.5%

Hence, the probability that 6 out of 10 babies will be boys is 20.5%

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The solutions needs to fall inside the shaded region. The three blue dots do.

     (-3, -3)

     (-4, -1)

     (-2, -1)

Two of the red dots clearly do not, so they're out. The one red dot falls on the intersection of the two lines. It is also excluded as an answer, because of the dashed line. The dashed line means points on are that line are not solutions. If both lines had been solid, then this point would have been included.

Answer:

67+4y

Step-by-step explanation:

The actual weight is 0.0042 pounds lighter than the labeled weight.

The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.

Subtracting the actual weight from the labeled weight, we get:

0.384 pounds - 0.3798 pounds = 0.0042 pounds.

Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.

It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.

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Answer:

If you're trying to find the whole number from a percentage of the number, divide the number by its percent: 1360/17%= 8000. The total number of mangoes is 8000.

Step-by-step explanation:

Answer:

\(\boxed{\bold{\huge{\boxed{\sf x = 8000 \ mangoes}}}}\)

Step-by-step explanation:

Let the number be x

The given condition is:

=> 17 % of x = 1360

=> \(\sf \frac{17}{100} * x = 1360\)

Multiplying both sides by \(\frac{100}{17}\)

=> \(\sf x = \frac{136000}{17}\)

=> x = 8000

So, total number of mangoes is 8000.

Nathan's monthly payment will be Php 25,496.45.

To calculate the monthly payment for Nathan's car loan, we can use the formula for the monthly payment on a loan with compound interest:

Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Total Number of Payments))

Given:

Loan Amount (Principal) = Php 1,200,000.00

Interest Rate = 10% per year

Compounding Period = Monthly

Loan Term = 5 years (60 months)

First, we need to convert the annual interest rate to a monthly interest rate:

Monthly Interest Rate = (1 + Annual Interest Rate)^(1/Number of Compounding Periods) - 1

Monthly Interest Rate = (1 + 0.10)^(1/12) - 1

Monthly Interest Rate = 0.007974

Substituting the values into the formula:

Monthly Payment = (1,200,000 * 0.007974) / (1 - (1 + 0.007974)^(-60))

Monthly Payment = 25,496.45 (rounded to two decimal places)

Therefore, Nathan's monthly payment for the car loan will be Php 25,496.45.

Nathan's monthly payment for the car loan will be Php 25,496.45.

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Answer:

7

Step-by-step explanation:

Here is ur answer mate

\(3 x+ 5 = 26\)

\(3x = 21\)

\(x = 7\)

Hope it helps u

Answer:

x=7

Step-by-step explanation:

The proof of ABCD is parallelogram is shown below.

A quadrilateral called a trapezium has only one set of opposite sides that are parallel to one another. An isosceles trapezium is a trapezium with equally sized non-parallel sides. In other words, the legs are equal in length and the bases are parallel.

Given:

ABCE is an isosceles trapezoid.

and, AB ||  EC.

Also,  AE = AD

Then <1 = <3

As, <1 = <2 and <3 = <1 then <3 = <2

So, AD || BC {corresponding angles (<3 and <2) are equal}

Since AB || EC and DC is part of the same line, then AB || DC.

We get AB || DC and AD || BC.

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The Question attached here is inappropriate, the correct question is  given: ABCE is an isosceles trapezoid with ray AB is parallel to ray EC, and ray AE is congruent to ray AD, prove: ABCD is a parallelogram

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

\(f(g(x))\)

\( \frac{8}{ \frac{8}{x} } \)

\(8 \times \frac{x}{8} \)

\( \frac{8x}{8} \)

\(x\)

The same steps will be for g(f(x))

Jack's average speed in meters per second is 350m / 314.2s = 1.11 meters/second.

Jack swims seven lengths of the pool in a time of 5 minutes and 14.2 seconds. To find his average speed, we need to convert the time into seconds only. To convert 5 minutes and 14.2 seconds to seconds, we multiply 5 minutes by 60 seconds (since there are 60 seconds in a minute) and add 14.2 seconds.

This gives us a total of 314.2 seconds. Now, we can calculate Jack's average speed by dividing the distance he covered (7 lengths of the pool, which is 7 * 50.0m = 350m) by the time it took (314.2 seconds). In conclusion, on this day,

Jack's average speed in the 50.0-meter-long Olympic-size swimming pool was 1.11 meters per second.

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Answer:

Cylinder

Step-by-step explanation:

V cylinder= πr²h= 3.14*2.1²*6= 83.0844 cm²

V prism= bh= 1/2*4*3.5*10= 70 cm²

Cylinder holds more as it has greater volume

Answer: 34.5

Step-by-step explanation:

First, write out all of the numbers from least to greatest.

which is (18,20,26,34,34,35,38,40,42,45)

Second, choose the number in the middle of the set of numbers you wrote out from least to greatest. (There are TWO numbers in this case, which are 34 and 35)

Lastly, since there are two numbers you add them both together and then divide by 2. (34+35=69 ,  69 divided by 2 = 34.5)

Answer:

The second company offers better value

Step-by-step explanation:

$17,75 / 6 = ~$2,96

$25 / 8 = ~$3,13

The set of all such points is a sphere center c = ( 23/3 , 19/3 , 3 ) r = 2√83/9

what is the sphere?

The standard form of the equation of a sphere with center (a ,b ,c) and radius r is

( x -a)² + ( y-b)² + ( z - c)² = r²

We let P = ( x, y,z ) be an arbitrary point which satisfies the given conditions. Then

\(\sqrt{(x - 1)^{2} + ( y - 5)^{2} + (z - 3)^{2} } = 2 \sqrt({x - 6)^{2} + ( y - 2 )^{2} +( z - 3)^{2} }\)

Squaring both sides of this equation and simplifying yields

( x - 1)² + ( y - 5)² + ( z -3)² = 4 [ (x - 6)² + ( y- 6 )² + ( z - 3)²

( 3x² - 46x + 143 ) + ( 3y² - 38y + 119 ) + ( 3z² - 18z + 27 ) = 0

Next, we complete the square for each variable to obtain

( x - 23/3)²  + ( y - 19/3)² + ( z - 3 )² = 332/9

Thus the set of all such points P forms a sphere, with

center c = ( 23/3 , 19/3 , 3 ) r = 2√83/9

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The measure of the missing angle of the geometric system is equal to 55°.

In this problem we find a geometric system formed three supplementary angles, that is, three angles whose measures sum a total of 180°. We need to determine the measure of the missing angle. The equation that describes the situation is:

α + 90° + 35° = 180°

Then, the angle is found by algebra properties:

α + 125° = 180°

α = 55°

The missing angles has a measure of 55°.

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Answer:

m = 2

Step-by-step explanation:

2m + 2 = 6

2m = 6 - 2

2m/2 = 4/2

m = 2

m=2

Subtract 2 from each side and then divide 2