What is -5/4 to the 2nd power?

3(x - 9) = 3

3x - 27 = 3

3x = 3 + 27

3x = 30

x = 30/3

x = 10

When the population standard deviation, is unknown, a hypothesis test for the population mean is conducted the same way as if the population standard deviation were known. The t-distribution is used instead of the conventional normal distribution, which is the only distinction (z-distribution).

Answer:

3.1 gallons

Step-by-step explanation:

To solve this, we need to figure out how many gallons of gas go into 72 miles. We know 23 miles is equal to one gallon of gas, and given that the ratio of miles to gas stays the same, we can say that

miles of gas / gallons = miles of gas / gallons

23 miles / 1 gallon = 72 miles / gallons needed to go to Bob's mother's house

If we write the gallons needed to go to Bob's mother's house as g, we can say

23 miles / 1 gallon = 72 miles/g

multiply both sides by 1 gallon to remove a denominator

23 miles = 72 miles * 1 gallon /g

multiply both sides by g to remove the other denominator

23 miles * g = 72 miles * 1 gallon

divide both sides by 23 miles to isolate the g

g = 72 miles * 1 gallon/23 miles

= 72 / 23 gallons

≈ 3.1 gallons

Walking the dog and getting a call on your cell phone are independent events.

What are independent and dependent event?

Dependent events are those events that are affected by the outcomes of events that had already occurred previously. i.e. Two or more events that depend on one another are known as dependent events.

Independent events are those events whose occurrence is not dependent on any other event. If the probability of occurrence of an event A is not affected by the occurrence of another event B, then A and B are said to be independent events.

According to the given question:

Let walking the dog be event A and getting a call on your cell phone be event B.

Clearly event A and B are not related in any way.

Hence Walking the dog and getting a call on your cell phone is an independent event.

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Answer:

I'm pretty sure the answer is 40.

Step-by-step explanation:

1:4 meaning

1-10 inches

10 x 4 equals 40ft.

Because of the scale being 1:4 .

Step-by-step explanation:

Sum of quantities = Average of quantities * Number of quantities = 15 * 3 = 45.

Answer:

45

Step-by-step explanation:

Average = Sum of quantities / Number of quantities

15 = Sum / 3

Sum = 45

Answer:

36

Step-by-step explanation:

The least common denominator is 36. As we can see for the multiples of 12:

12 24 36 48 ...

and the multiples of 9:

9 18 27 36 45 ...

You can also do this by prime factorization:

12=2*2*3

9=3*3

therefore the lcd must be 2*2*3*3=36

9514 1404 393

Answer:

  D. 13

Step-by-step explanation:

The distance between the bikers is the hypotenuse of a right triangle whose legs are a linear function of time. It will be ...

  d(t) = √((5t)² +(12t)²) = √((25 +144)t²) = 13t

The distance between the bikers is increasing at the constant rate of 13 miles per hour. The rate is still 13 miles per hour after 3 hours.

A graph of the inequality "y is less than negative one fourth times x minus 3" is: D. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line.

In order to determine the ordered pair that is included in the solution to this linear inequality, we would first of all translate the word problem into an algebraic equation as follows;

y is less than negative one-fourth times x minus 3 ⇒ y < -x/4 - 3.

Next, we would use an online graphing calculator to graphically solve the linear inequality. Therefore, the required solution for the given linear inequality is the shaded area below the dashed line, which is given by the ordered pairs (−12, 0) and (0, -3).

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Answer:

it’s D dotted line with shading below

Step-by-step explanation:

i got it on my quiz

The ribbon lengths in order from shortest to longest are-

1 foot, 1.5 feet, 1.512 feet, 1.54 feet.

Ascending order refers to the arrangement of numbers in increasing order, from smallest to largest.

Putting the numbers in ascending order:

Now as per the given number in question;

The lengths of the ribbon pieces are 1.5 feet, 1 foot, 1.512 feet, and 1.54 feet.

Arrange the smallest first, after that the second smallest and so on.

1 foot, 1.5 feet, 1.512 feet, 1.54 feet.

In this 1 foot is the smallest and 1.54 feet is the largest number.

We can write the given ascending order with less than sign also;

1 foot < 1.5 feet < 1.512 feet < 1.54 feet.

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Answer:

530 :)

Step-by-step explanation:

If you add up the dowton and center city locations and then subtract that from the amount of pizzas at the westland location, you get your answer

Answer: 3

Step-by-step explanation:

Answer: 2 batches

Step-by-step explanation: 2 2/3 divided by 1 1/3 = 2

Step-by-step explanation:

Scatter plot is the correct answer

The leading coefficient of the polynomial is 4.

The leading coefficient of a polynomial, we first need to understand what the leading term of the polynomial is.

The leading term is the term with the highest degree in the polynomial.

For example, in the polynomial \(3x^4 + 2x^3 - 5x^2 + 4x - 1\(, the leading term is 3x^4.
To determine the leading coefficient of a polynomial, we simply look at the coefficient of the leading term. For example, in the polynomial \(3x^4 + 2x^3 - 5x^2 + 4x - 1\), the leading coefficient is 3.
Now, let's apply this concept to the polynomial graphed below. From the graph, we can see that the polynomial has a degree of 2, meaning that the highest power of x in the polynomial is 2.

Therefore, the leading term of the polynomial is \(ax^2\), where a is the leading coefficient.
The vertex is the point on the graph where the polynomial reaches its maximum or minimum value. In this case, the vertex is located at \((-2, 4)\)
Since the vertex is the highest point on the graph, we know that the coefficient of x^2 must be positive.

In this case, the value of y at the vertex is 4.

Therefore, the leading coefficient of the polynomial is 4.

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Step-by-step explanation:

Height of ladder = 12ft .

Here perpendicular is height to which it reaches .

When angle is 30⁰ :-

=> sin 30⁰ = H/12

=> ½ = H/12

=> H = 12/2

=> H = 6m ( ans )

When Angle is 45⁰ :-

=> sin45⁰ = H/12

=> 1/√2 = H/12

=> H = 6*√2*√2/√2

=> H = 6√2 m ( ans )

When angle is 60⁰ :-

=> sin60⁰ = H/12

=> √3/2 = H/12

=> H = 12 *√3/2

=> H = 6√3 ( ans )

hope it helped !

A sample :  a statistics student interviews each member from each of the five randomly chosen math classes at a university.

A sample is a subset of a larger population that is selected for analysis or study. In statistics, sampling is a technique used to gather data from a portion of a population in order to make inferences about the population as a whole.

Sampling helps to reduce the amount of data that needs to be collected and analyzed, making the research process more manageable and cost-effective.

In the scenario you described, a statistics student is conducting a study where they aim to gather data from a group of individuals at a university. To do this, they have selected five math classes at random and are interviewing each member of each class.

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The rule to show the number of dots in the pattern is

A pattern is a repetition of items, when the repetition is in ordered then the pattern can be forecasted.

The given pattern is ordered by the rule at which it was formed. The rule helps to forecast the number of dots in the next row

The information given in the question include:

row 1 = 2 dots

row 2 = 4 dots

row 3 = 6 dots

it can be seen that

2 * number of rows  = number of dots

Hence:

d = 2 * a

d = 2a

checking the rule for the 4th row

d = 2 * 4

d = 8

counting the dots confirms the rule is okay

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Answer:

7

Step-by-step explanation:

14/2=7

Answer:

Taylor will earn $7.50 more than Victoria

Step-by-step explanation:

9(5)= 45

10.5(5)= 52.5

52.5-45= 7.5

By definition of conditional probability,

P(F | E ) = P(F and E ) / P(E )

Then

P(F and E ) = P(F | E ) P(E ) = 0.5 • 0.2 = 0.1

by dividing the equations we get, the simplified expression is (3y⁶) / (x⁵z*4).

What is an arithmetic operation?

Arithmetic operations is a branch of mathematics, that involves the study of numbers, the operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication, and Division.

To divide 15xy⁷z⁴ by 5x⁶yz*16, we can simplify the expression by canceling out common factors in the numerator and denominator.

First, we can simplify 15 and 5 by dividing both by 5:

15/5 = 3

5/5 = 1

Next, we can simplify x and x⁶ by dividing both by x⁶:

x/x⁶ = 1/x⁵

x⁶/x⁶ = 1

We can simplify y⁷ and y by dividing both by y:

y⁷/y = y⁶

y/y = 1

We can simplify z⁴ and z16 by dividing both by z16:

z^4/z16 = 1/(z4)

z16/z16 = 1

Putting it all together, we get:

(15xy⁷ z⁴) / (5x⁶yz16)

= (3 * y⁶) / (x⁵ * z4)

Therefore, by dividing the equations we get, the simplified expression is (3y⁶) / (x⁵z*4).

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The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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Answer:

how do i draw the graph

Step-by-step explanation:

Answer:

I attached my sketch of it. Notice how as the y value goes down 1, the x value goes to the right 2.

I would appreciate Brainliest but no worries.

Answer:

There are a total of 25 marbles in the bag.

The probability of choosing a red marble first is 8/25 since there are 8 red marbles out of 25 marbles in the bag.

Since a marble is not replaced after the first selection, there are now 24 marbles in the bag. There are still 3 blue marbles in the bag.

The probability of choosing a blue marble second, after a red marble has already been selected, is 3/24 or 1/8 since there are 3 blue marbles left out of 24 marbles in the bag.

To find the probability of both events occurring together, we multiply their individual probabilities:

8/25 x 1/8 = 1/25

Therefore, the probability that a red marble is chosen first, followed by a blue marble, is 1/25.

Roman Rounds normally charges $18 for a large pizza.

What is the equation in one variable?

An equation in one variable is a mathematical statement that uses one variable and an equal sign to relate two expressions. The variable in the equation represents an unknown value, and the goal is often to find the value of the variable that makes the equation true.

Let's use p to represent the normal price of each large pizza charged by Roman Rounds.

Since the price of each pizza was reduced by $2 for the bulk order, the amount Mr. Mosley paid for 12 large pizzas is:

12(p - 2) = $192

We can simplify this equation by first distributing the 12 on the left side:

12p - 24 = $192

Then, we can isolate the variable p on one side of the equation by adding 24 to both sides:

12p = $216

Finally, we can solve for p by dividing both sides by 12:

p = $18

Therefore, Roman Rounds normally charges $18 for a large pizza.

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Answer:

sorry im doing a challenge but i will have someone answer it    

Step-by-step explanation:

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases} \\\\\\ A = 3000\left(1+\frac{0.03}{1}\right)^{1\cdot 4}\implies A=3000(1.03)^4 \implies A \approx 3376.53\)

Answer:

4112

Step-by-step explanation:

Answer:

By applying law of conservation of mass.

Explanation:

Every balanced chemical equation follows law of conservation of mass.

This law states that mass can neither be created nor can be destroyed but it can only be transformed from one form to another form.

This law also states that the total number of individual atoms on the reactant side must be equal to the total number of individual atoms on the product side.

For the given reaction, the balanced chemical equation follows:

4Na1+Pb(SO4)__Pb14+2Na2SO4

On reactant side:

Number of sodium atoms = 4

Number of iodine atoms = 4

Number of lead atoms = 1

Number of sulfur atoms = 2

Number of oxygen atoms = 8

On product side:

Number of sodium atoms = 4

Number of iodine atoms = 4

Number of lead atoms = 1

Number of sulfur atoms = 2

Number of oxygen atoms = 8

Hence, the balanced chemical equation is written above.

Step-by-step explanation: