Choose the graph below that correctly represents the equation 15x − 5y = 30.

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Answer:

27

Step-by-step explanation:

i just took the test

The options that are geometric progressions are:

This is a progression of numbers which usually have a defined ratio that is between them.

The ratio in the options above are:

[tex]\frac{1}{2} , \frac{3}{1} , \frac{2}{1}[/tex]

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Answer:it’s a,c,d

Step-by-step explanation:

To calculate the probability of correctly predicting 14 or more coin tosses out of 20, we can use the binomial probability formula.

To calculate the probability of correctly predicting 14 or more coin tosses out of 20, we can use the binomial probability formula. The probability of getting exactly k successes in n independent trials with a probability p of success in each trial is given by:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where C(n, k) is the binomial coefficient, n! / (k! * (n - k)!), p is the probability of success (0.5 for a fair coin), and n is the number of trials (20 tosses).

To find the probability of getting 14 or more successes, we need to sum the probabilities of getting 14, 15, 16, ..., 20 successes.

P(X >= 14) = P(X = 14) + P(X = 15) + P(X = 16) + ... + P(X = 20)

We can calculate these probabilities and then add them together to get the overall probability.

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Barney's Bicycle Shop must sell at least 14 shirts before they can make a profit. Among the given options, the correct answer is C. 14 shirts.

To determine the number of shirts Barney's Bicycle Shop must sell before making a profit, we need to consider the cost of producing the shirts and the revenue generated from selling them.

For each shirt sold, the shop earns $8 in revenue. However, they incur costs to have the shirts made. The shirt maker charges $3.50 per shirt and an initial fee of $63.

Let's calculate the total cost per shirt:

Cost per shirt = $3.50 + ($63 / number of shirts)

To break even or make a profit, the revenue from selling the shirts must exceed the cost per shirt.

Let's calculate the revenue per shirt:

Revenue per shirt = $8

Now we can set up the equation to find the number of shirts needed to break even or make a profit as inequality:

Revenue per shirt ≥ Cost per shirt

$8 ≥ $3.50 + ($63 / number of shirts)

To solve this inequality, we can subtract $3.50 from both sides:

$4.50 ≥ $63 / number of shirts

Multiplying both sides by the number of shirts:

$4.50 x number of shirts ≥ $63

Simplifying the equation:

Number of shirts ≥ $63 / $4.50

Number of shirts ≥ 14

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Answer:  The correct option is (B) [tex]\dfrac{14}{33}.[/tex]

Step-by-step explanation:  Given that a family has 8 girls and 4 boys. A total of 2 children must be chosen to speak on the behalf of the family at a local benefit.

We are to find the probability that 2 girls and no boys are chosen.

Total number of children in the family = 8 + 4 =12.

Let S denote the sample space of choosing 2 children from the family of 12 children and A denote the event of choosing 2 girls and no boys.

Then, according to the given information, we have

[tex]n(S)=^{12}C_2=\dfrac{12!}{2!(12-2)!}=\dfrac{12\times11\times10!}{2\times1\times10!}=66,\\\\\\n(A)=^8C_2\times^4C_0=\dfrac{8!}{2!(8-2)!}\times1=\dfrac{8\times7\times6!}{2\times1\times6!}=28.[/tex]

Therefore, the probability of event A is given by

[tex]P(A)=\dfrac{n(A)}{n(S)}=\dfrac{28}{66}=\dfrac{14}{33}.[/tex]

Thus, the required probability is [tex]\dfrac{14}{33}.[/tex]

Option (B) is CORRECT.

The answer is 9x3 − 11x2 − 7x

Answer: 9x^3 − 11x^2 − 7x

The value of x remains 10 after evaluating the Java expression (y >= 10)||(x++ > 10) due to short-circuit evaluation, as the first condition y >= 10 is true.

The student is asking about the value of x after evaluating the Java expression (y >= 10)||(x++ > 10) given that x=10 and y=10. The double pipe || represents a logical OR operator, which evaluates to true if at least one of the operands (conditions) is true. Since y >= 10 is true because y is equal to 10, the OR expression is true, and Java does not evaluate the second operand due to short-circuit evaluation. Short-circuit evaluation means that in an OR expression, if the left-hand side is true, the right-hand side is not evaluated, which in this case means that x++ is not executed. Therefore, x remains 10.

that means the bank keeps 3% and can loan out 97% of the total

 16000*0.97 = $15,520 can be loaned out

area for the hexagon = 1/2*p*a

p = perimeter = 18*6=108

a = apothem = 15.59

108*15.59 = 1683.72/2 = 841.86 sq units

Area of rectangle = 18 x 21 = 378

841.86-378 = 463.86 rounded to 464 square units

Answer: D IS THE ANSWER

Answer:

Option D is the answer.

Step-by-step explanation:

A layaway is a system of paying a deposit to secure an item that is meant to be purchased later. In this purchasing method, a buyer places a deposit on an item to lay it away. He can pick the item later when he pays the balance. The balance can also be paid in smaller installments until the full amount is paid.

So, here Javier will be paying for 36 months, hence, he will get the cabinet after 36 months.

To convert gallons to liters, you multiply the number of gallons by the conversion factor 3.8. Therefore, an aquarium tank holding 169 gallons contains 641.2 liters of water.

The question is asking about converting gallons to liters. The process involves simple multiplication using the conversion rate.

Given that the volume of water in the aquarium tank is 169 gallons and that 1 gallon is equivalent to 3.8 liters, you can find the volume in liters by multiplying the number of gallons by the conversion rate. Therefore, 169 gallons * 3.8 liters/gallon equals 641.2 liters.

This means there are 641.2 liters of water in the aquarium tank.

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Due to the fact that they all contain elements of random selection, techniques like cluster sampling and multistage sampling are just as externally valid as simple random sampling due to the fact that they all contain elements of random selection.

Cluster sampling are more or less alike, each heterogeneous and resembling the overall population. The population is split into representative clusters, then a selection is done one or few from the clusters, then lastly, a census is performed with those selected clusters.

In multistage sampling, several methods are combined in sampling schemes and occasionally utilized the same method or different methods or more than once. Though they have different steps in being done, they both have random selection elements.