Find the interest on $5,200 at 6% for 2 and a half years. Which of the following equations would be used to solve this problem?

Answer:

5 miles

Step-by-step explanation:

5*2=10

Answer:

5 miles

Step-by-step explanation:

Adrianna (a) ran 10 miles.

She ran twice as much as Ady:

Ady = a/2

a = 10

Plug in 10 for a:

Ady = 10/2 = 5

Ady ran 5 miles.

~

To find the value of 5x + 5y, you can solve the system of equations using the elimination method, and substitute the values of x and y into the expression.

To find the value of 5x + 5y based on the system of equations:

2x + 3y = 1200

3x + 2y = 1300

we can solve the system by either substitution or elimination method. Let's use the elimination method:

The value of 5x + 5y in this system of equations is 12500.

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Answer:

i say dependent. i may be wrong

7/26

Step-by-step explanation:

6/13 times 7/12 which is 42/156 which is 14/52 which is also 7/26

Final answer:

The scenario presents dependent events with the probability of selecting a boy first and then a girl being 7/26.

Explanation:

The events described in the scenario are dependent because the outcome of the first trial (selecting a student) affects the outcome of the second trial (selecting another student). In this situation, for the first student selected to be a boy, the probability is 6/13 (as there are six boys and seven girls, totaling 13 students). Once the first boy is selected and not replaced, the probability that the second student chosen is a girl is 7/12, because only 12 students remain and 7 of them are girls.

Therefore, the probability of first drawing a boy and then a girl, in two successive trials without replacement, is the product of the two individual probabilities: (6/13) * (7/12). This equals 42/156= 0.269 or simplified to 7/26.

Answer:

j - 10 = 35

j = 45

Step-by-step explanation:

When it says, "less than" it means subtracting. So 10 less than j is (j - 10)

The part where is says "is" means it is equal to.

So the equation would be = (j - 10) = 35

Answer:

Equation: (j - 10) = 35

j = 45

Step-by-step explanation: Lets translate 10 less than j:

Less than means 10 is being subtracted from j.

So we can write 10 less than j as j - 10.

The word is means equal.

So, we can write is 35 as = 35.

Now lets write the whole equation toghter.

j - 10 = 35

We can also write this as 35 = j - 10.

Now we can solve for j.

Add 10 to both sides of the equation to get j by itself.

j - 10 + 10 = 35 + 10

J=45

The following equation matches this situation:

j - 10 = 35

j = 45

Answer:

0.8

Step-by-step explanation:

Answer:

Pythagorean Theorem

SSS

C

the definition of right triangle

Step-by-step explanation:

Answer:

[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.64})^2}=747.11[/tex]  

And rounded up we have that n=748

Step-by-step explanation:

The confidence level is 90% and the significance level would be [tex]\alpha=1-0.9=0.1[/tex] and [tex]\alpha/2 =0.05[/tex] and the critical value for this case is:

[tex] z_{\alpha/2}= 1.64[/tex]

The margin of error for the proportion interval is given by this formula:  

[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]    (a)  

And on this case we want a margin of error of [tex]ME =\pm 0.03[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex]   (b)  

Since we don't hace any prior info for the population proportion we can use [tex]\hat p =0.5[/tex]. And replacing into equation (b) the values from part a we got:

[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.64})^2}=747.11[/tex]  

And rounded up we have that n=748

Using the sample size formula, the required number of sample is 752.

Using the confidence interval relation :

Substituting the values into the equation :

n = [tex] \frac{0.5 \times 0.5}{(\frac{0.03}{1.645})^{2} }[/tex]

[tex] n = \frac{0.25}{0.0003325}[/tex]

[tex] n = 751.67[/tex]

Therefore, the required number of sample is 752.

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Answer: the correct options are b and d.

Step-by-step explanation:

Let us first define what mutually exclusive events are. If two events are mutually exclusive, it means that they cannot happen at the same time. For example, getting a head and a tail at the same time are mutually exclusive.

Considering a single spin of the spinner, the events that are mutually exclusive are

b)landing on a shaded sector and landing on a 3. This is because 3 is unshaded. You can either land on 3 or an unshaded sector at a time

d)landing on an unshaded sector and landing on a number less than 2. This is because the numbers in the unshaded sectors are greater than 2.

Without additional information about the height or area of the base of the prism, it is impossible to determine the base length from the volume alone.

To determine the base length of a prism when the volume is known, one must have additional information about the prism, such as the area of the base or other dimensions. Since the question does not provide any information about the height or the area of the base, we cannot calculate the base length solely from the volume. Typically, the volume of a prism is calculated using the formula V = base area × height. Without knowing either the base area or the height of the prism in this question, we cannot find the base length. Thus, we cannot choose from the provided options (10 inches, 12 inches, 13 inches, 15 inches) without additional information about the prism.

The incorrect statement is option D) The probability of finding my keys is - 1/5, as probabilities cannot be negative. Probabilities range between 0 and 1, and the calculation for combined probability of independent events involves multiplication, not addition.

The statement that is not correct to use probability to describe is option D) The probability of finding my keys is - 1/5. Probabilities range from 0 to 1 (or 0% to 100%), where 0 indicates impossibility and 1 indicates certainty. A negative probability does not make sense within this framework, so option D reflects a misunderstanding of how probabilities are represented.

The correct way to calculate the combined probability of two independent events is to multiply their individual probabilities. For example, to find P(A AND B) when dealing with independent events, you would calculate P(A) * P(B). Therefore, if P(A) = .2 and P(B) = .3, the correct answer for P(A AND B) would be .06, which corresponds to option D in the exercise provided.

It is also important to clarify misconceptions such as adding probabilities of non-mutually exclusive events. For instance, the fallacy that if there is a 60 percent chance of rain on one day and a 70 percent chance on another, then there is a 130 percent chance of rain over the weekend.

This is incorrect because probabilities cannot exceed 100%. Instead, you would evaluate the chances of rain differently depending on the independence or interdependence of the weather on those days.

Answer:

856.4

Step-by-step explanation:

10% of 8564 =856.4

Answer:

D) 30

Step-by-step explanation:

The third quartile is the last line of the box

Hope this helps!

A box and whisker plot is a graphical representation of variance. The third quartile of the box-and-whisker plot is 30.

A box and whisker plot is a graphical representation of variance in a set of data.

The third quartile of the box-and-whisker plot is the rightmost line of the box, which means the third quartile of the box-and-whisker plot is 30.

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Answer:

$165

Step-by-step explanation:

Money spent:

Josh=42

Maia=48

Max=35

Mark and Victoria = 40

35 + 40 + 42 + 48 = $165

Answer:

$205 as it was said $40 each for Mark and Victoria

Step-by-step explanation:

Josh =42 sn

Maia = 48 hd/hb

42+48 = 90

Max = 35 rolls,cd,lt+tm

Mark =40 drinks

Victoria = 40 drinks

35 +80 = 115

115+90 = $205

The question revolves around determining whether it's more economical to purchase soda in a pack or individually at a clearance sale. The provided example further illustrates the price elasticity of demand using the sale of diet cola as an illustration.

The question concerns the cost comparison between buying individual cans of soda versus buying them in a pack during a clearance sale. With a pack of 8 cans costing $3.20, the price per can in a pack is $0.40. On the other hand, a single can costs $0.50. Looking at these prices and comparing them to the provided reference information, buying soda by the pack falls into the '50-99 cents per pack' range, indicating that it's more cost-effective compared to buying soda cans individually for $0.50 each.

Additionally, the example involving diet cola and its price changes introduces the concept of price elasticity of demand, which measures how the quantity demanded of a good responds to a change in price. The given statistics demonstrate a direct relationship between the price of diet cola and the number of cans sold: a rise in price reduces sales, leading to less total revenue, indicating that the demand for diet cola is price elastic.

Answer:

See Explanation

Step-by-step explanation:

The question isn't clear enough. However, I'll solve for the total number of students in science class and I'll.also solve for the total number of students present in class.

Given

Proportion of girls = ⅓

Number of girls absent = 3

Number of girls present = 4

Required

Find the total number of students

If 3 girls were absent and 4 were present, then there are total of 7 girls in science class.

Let the number of students in the class be represented by y.

⅓ of the total number of students are girls;

This means

⅓ of y = 7

⅓ * y = 7

Multiply both sides by 3

3 * ⅓ * y = 3 * 7

y = 3 * 7

y = 21.

Hence, the total number of students in science class is 21

Recall that 3 girls are absent;

This means that 21 - 3 are presently in the class.

21 - 3 = 18.

Hence, 18 students are presently in class.

Answer:

Step-by-step explanation:

Where is the image

Answer: [tex]x=11[/tex]

Reorder the terms in parentheses

[tex]+(+2x-10)+7=x+8[/tex]

Remove unnecessary parentheses

[tex]+2x-10+7=+x+8[/tex]

Move all terms containing x to the left and all other terms to the right

[tex]+2x-1x=+8+10-7[/tex]

Simplify left and right side of the equation

[tex]+1x=+11[/tex]

divide both sides of the equation by 1 to get x

[tex]x=11[/tex]

Answer:

10/20=1/2

Step-by-step explanation:

Answer:

(-5, 18)

Step-by-step explanation:

7x + 2(3 − 3x) = 1 simplifies to

7x + 6 - 6x  = 1,   which, in turn, simplifies to:

x = -5

Using y = 3 - 3x (see Step 1), we find that y = 3 - 3(-5) = 3 + 15 = 18.

Thus, the solution is (-5, 18).

Answer:

Step-by-step explanation:

here is the answer

Answer:

Step-by-step explanation:

If the value a is positive in the linear equation y = a x ( for example: y = 2 x ) then the line ( from the left to the right ) must go up and to the right. It also passes through the origin ( 0, 0 ).           For x = 1: y = 2 * 1 = 2, so that point is ( 1, 2 ),  x2 > x1,  and y2 > y1.Answer:A. goes up and to the right.

Final answer:

The line described by the equation y = ax slopes upward to the right when the value of a is positive, illustrating a positive relationship between x and y.

Explanation:

The equation y = ax describes a linear relationship between x and y. When the value of a is positive, the line slopes upward to the right on a graph. This behavior is because a positive slope indicates that as the x-value increases, the y-value also increases, leading to an upward trajectory on the graph.

The direction in which the line moves across the graph depends solely on the sign of a, where a positive a signifies an upward slope and a negative a results in a downward slope. Specifically, for a positive a, for every unit increase in x, there is a proportional increase in y, making the graph rise from left to right.

Answer:

1/2

Step-by-step explanation:

Do  I get brainliest?

Answer:

1/2

Step-by-step explanation:

Answer:

10 times 9 is 90 divide 90 bye 15 and there u go

Step-by-step explanation:

She subtracted the coefficients instead of dividing them

Answer: C(t) = -475.5*cos(t*pi/6) + 475.5

Step-by-step explanation:

We know that we have a sinusoidal relation, with a minimum at 9:00 am and at 9:00 pm.

If we define the 9:00 am as our t = 0, we have that the maximum, at 3:00pm, is at t = 6 hours.

and the other minimum, at 9:00pm, is at t = 12 hours.

Then we need to find a trigonometric function that has the minimum at t = 0, we can do this as:

-Cos(c*t)

when t = 0

-cos(0) = - 1

then we have a function:

C(t) = -A*cos(c*t) + B

where A, c and B are constants.

We know that at t = 0 we have 0 customers, and that at t = 6h we have 875 customers, that is the maximum.

then:

C(0) = 0 = -A + B

this means that A  = B, then our function is:

C(0) = -A*cos(c*t) + A.

now, at t = 6h we have a maximum, this means that -A*cos(c*6h) = A

then:

C(6h) = A + A = 875

2A = 875

A = 875/2 = 437.5

and we also have that, if -cos(c*6) = 1

then cos(c*6) = -1

and we know that cos(pi) = -1

then c*6 = pi

c = pi/6

Then our function is

C(t) = -475.5*cos(t*pi/6) + 475.5

Final answer:

On average, one customer arrives every two minutes at Somerset Mall on a Saturday, which means it takes six minutes on average for three customers to arrive. This question applies trigonometry, algebra, and statistical concepts.

Explanation:

A research firm finds that the average number of customers in Somerset Mall on a Saturday varies sinusoidally with time. The question involves understanding sinusoidal functions, their applications, and basic statistical concepts related to customer arrival rates. The sinusoidal nature of customer arrivals is a practical application of trigonometry and algebra in solving real-world problems.

Part a: Average Minutes Between Arrivals

Given that 30 customers arrive per hour, to find the average time between successive arrivals, we divide the number of minutes in an hour by the number of arrivals: 60 minutes / 30 customers = 2 minutes. Therefore, on average, one customer arrives every two minutes.

Part b: Time for Three Customers to Arrive

Since one customer arrives every two minutes on average, for three customers to arrive, it would take 3 * 2 minutes = 6 minutes on average.

The model's assumption that customers arrive one at a time and at a constant rate throughout the day simplifies the real-life complexity of customer behavior and peak shopping times. This is a critical consideration in the practical application of mathematical models in business.

Answer: The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. The vertex of the parabola is (2,1) . So, the axis of symmetry is the line x=2.

Step-by-step explanation:

Answer:

6 5/6

Step-by-step explanation:

8

- 1 1/6

We need to borrow from the 8

We will borrow 1 from the 8 and make it a 7.  The 1 will be written in the form 6/6

7 6/6

- 1 1/6

-----------------

6  5/6

Answer:

x=2

Step-by-step explanation:

x^2 + 4x - 16 = 0

I'm using the quadratic formula to solve this equation.

A = 1

B = 4

C = -16

x = -b +- [tex]\sqrt{b^2 - 4ac}[/tex]  

over 2a

Plug it in:

x= -4 +- [tex]\sqrt{4^2 -4(-16)}[/tex] over 2

x= -4 +- [tex]\sqrt{16+64[/tex] over 2

x = -4 +-[tex]\sqrt{80}[/tex] over 2

x = -4 +- 4[tex]\sqrt{5[/tex]

Divide by 2.

x = -2 +- 2[tex]\sqrt{5[/tex]

Therefore, x would be -2 + 2[tex]\sqrt{5}[/tex], -2 - 2[tex]\sqrt{5}[/tex]

Convert to decimal form: 2.47213595, -6.47213595

Round it: 2.4714595 = 2.5 and -6.47213595 = -6.5

Answer:

a

Step-by-step explanation:

Answer:

A) y ^4 −  13 y^ 3  −  6 y

Step-by-step explanation:

     4y^4 - 8y^3

-    5y^3 + 6y + 3y^4

----------------------------

flip the equations around

  -8y^3 + 4y^4

-   5y^3 + 6y + 3y^4

------------------------

-13y^3 - 6y + y^4

Rearrange to get:

y^4 - 13y^3 - 6y

I hope this helps you out!!!