The scatter plot shows the time spend studying,x, and the quiz score,y, for each of 25 students

Answer:

3/4

Step-by-step explanation:

Ok, so I see that the x-intercept is (4,0), while the y-intercept is(-3,0)

Slope is rise/run

Between these two points, the line rose 3 and horizontally went 4 units to the right. Therefore, the slope is 3/4.

Feel free to tell me if I did anything wrong! :)

Also, if you're still confused, I could explain it another way.

Answer:

Hello! Your answer would be, A)x ≤ 10

Step-by-step explanation:

Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥

Answer:

≈ 3,2

Step-by-step explanation:

3,17 ≈ 3,2 (since 7>5, we round to the greater number)

Answer: 3.2

Step-by-step explanation:

. 3.1 would be ones

.  therefore 3.17 would be in tens

. question asks to round to nearest tenth

. question is, is 17 closer to 10 or 20?

. it is 20 because 17 is closer to 20 opposed to 10.

. answer = 3.20

. answer wants in nearest tenth, so remove zero : 3.2 is final answer.

Answer:

The trinomial is already factored

Step-by-step explanation:

(x+h)^3 expanded is x^3+3x^2h+3xh^2+h^3, and (x+h)^3 is the factored form of the polynomial.

Answer:

-1/6

Step-by-step explanation:

5a+2/3=-1/6

5a=-1/6-2/3

5a=-1/6-4/6

5a=-5/6

a=(-5/6)/5

a=(-5/6)(1/5)

a=-5/30

simplify

a=-1/6

Answer:

1/12

Step-by-step explanation:

Probability of 4 = 1/6

Probability tail = 1/2

Multiply them

Answer:

1/12

Step-by-step explanation:

Probability of 4 = 1/6

Probability tail = 1/2

1/6 x 1/2 = 1/12

Answer:

Loan analysis is an evaluation method that determines if loans are made on feasible terms and if potential borrowers can and are willing to pay back the loan. It checks the eligibility of the potential borrower against the criteria set forth for lending. Loan analysis helps in assessing the skills and financial knowledge of the borrower to ...

The correct option is A . 12(3+2+4) shows the greatest common factor of these three values using the distributive property

A factor is an integer in mathematics that, when multiplied by other integers, produces the desired results. The resultant total is also known as the factors. The numbers can often be combined in a broad variety of ways. If you are familiar with the multiplication tables, it will be simple for you to determine the factors.

When two or more numbers are combined, the largest number is the greatest common factor (GCF). They are divided by the biggest number, which yields a natural number (factor). There are a few things that both share once all the variables that effect the number have been identified. The term "largest common factor" refers to the common factor among the others having the highest number.

The product of the common prime factors of 2 or more numbers is the greatest common factor(GCF) of the numbers.

Using the distributive property, it can be written that  .a(b+c) = ab + ac

Step 2

Write each number as the product of its prime factors. The product of the common factors is the greatest common factor(GCF) of the numbers.

The numbers,36 , 24 , 48  can be factored as follows.

36 = 2 * 2 * 3 * 3

24 = 2 * 2 * 3 * 2

48 = 2 * 2 * 3 * 2 * 2

Hence, the greatest common factor(GCF) of these numbers is equal to  

2 * 2 * 3  or 12 .

Take out the greatest common factor(GCF), 12 from the expression,  36+24+48 using the distributive property to obtain the result.

36+24+48 = 12 * 3 + 12 * 2 + 12 * 4

                 = 12 ( 3 + 2 + 4 )

Hence, the correct option is A .

Option B is incorrect as the factored out term is 6, which is not the greatest common factor(GCF) .

Option C is incorrect as the factored out term is 4, which is not the greatest common factor(GCF) .

Option D is incorrect as the factored out term is 3, which is not the greatest common factor(GCF) .

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Answer:

b) local minimum at \(x=\frac{1}{e}\)

c) Graph of the function is convex

Step-by-step explanation:

We are told that \(f'(\frac{1}{e})=0\), which implies there is a turning/stationary point at \(x=\frac{1}{e}\).

Substituting \(x=\frac{1}{e}\) into \(f''(x)\) will tell us if the turning point is a minimum or a maximum:

\(f''(\frac{1}{e})=\frac{1}{\frac{1}{e} } =e>0 \implies \textsf{local minimum}\)

Therefore, statement a) is false and statement b) is true.

If the function has a minimum turning point, then this implies that the curve is convex.  Therefore, statement c) is true.

Extremum = local min and max points.

We have already established that there is a local minimum at \(x=\frac{1}{e}\), therefore statement d) is false.

I know this is not needed for this question, but here are the workings to detemine the equation of the function (I've also attached a graph).  This supports the answers above.

\(\textsf{if} \ f''(x)=\frac{1}{x}\\\\\implies f'(x)=\int f''(x) \ dx \\\\\implies f'(x)=ln|x|+C\\\)

\(\textsf{if} \ f'(\frac{1}{e})=0\\\\\implies ln|\frac{1}{e}|+C=0\\\\\implies -1+C=0\\\\\implies C=1\\\\\)

\(\implies f'(x)=ln|x|+1\\\)

\(\textsf{if} \ f'(x)=ln|x|+1\\\\\implies f(x)=\int f'(x) \ dx\\\\\implies f(x)=xln(x)-x+x+C\\\\\implies f(x)=xln(x)+C\)

Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.

To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:

J(9, 7) K(2, 1)

L(0, -8)   M(7, -2)

To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.

Slope of JK:

Slope (m) = (change in y) / (change in x)

m(JK) = (7 - 1) / (9 - 2) = 6/7

Length of JK:

Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]

d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85

Slope of KL:

m(KL) = (-8 - 1) / (0 - 2) = -9/2

Length of KL:

d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85

Slope of LM:

m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)

Length of LM:

d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85

Slope of MJ:

m(MJ) = (7 - (-2)) / (9 - 7) = 9

Length of MJ:

d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40

Based on the calculations, we can describe quadrilateral JKLM as follows:

The slope of JK and LM is 6/7.

The slope of KL is -9/2.

The slope of MJ is 9.

The length of each side (JK, KL, LM, MJ) is √85.

The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.

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Answer:

5 paperback books

Step-by-step explanation:

From the question:

A used bookstore sells hardback books and paperback books. A hardback book costs $11, including tax. A paperback book costs $5, including tax. Jamal spent $47.

Let the number of paper backs = p

Let the number rod hardbacks = h

Hence:

$11 × h + $5 × p = $47

11h + 5p = 47

Jamal bought 3 more paperback books than hardback books.

h + 3 = p

h = p - 3

How many paperback books did Jamal buy?

Hence:

11h + 5p = 47

11(p - 3) + 5p = 47

11p - 33 + 5p = 47

16p = 47 + 33

16p = 80

p = 80/16

p = 5

Hence, he bought 5 paper back books

Answer:

This is the answer of your question 6.3125

Answer: it’s the 3 one

Step-by-step explanation:

cause if it’s 4-g(1.5) that coma in the sentence means multiply

Answer:

List of the first 1000 perfect squares! ... 25, 5 * 5 . 36, 6 * 6. 49, 7 * 7. 64, 8 * 8. 81, 9 * 9. 100, 10 * 10. 121, 11 * 11. 144, 12 * ... 841, 29 * 29.

Answer:

Step-by-step explanation:

El cuentahabiente retira un monto de $ 10955.61 tras un período de 5 años.

De acuerdo con el enunciado, el cuentahabiente deposita un monto de $ 5000 por espacio de cinco años a una tasa anual de 8 %, capitalizable semestralmente (4 % por semestre).

Recuérdese que un año es comprendido por semestres. Asumiendo que el monto depositado gana valor continuamente en el tiempo, se emplea el modelo de interés compuesto:

C' = C · (1 + r / 100)ⁿ

Donde:

Si sabemos que C = 5000, r = 4 and n = 20, entonces el monto final es:

C' = 5000 · (1 + 4 / 100)²⁰

C' = 10955.61

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Answer:100 or it just means 10 times

Step-by-step explanation: you need to learn the angles when the number are put on each side and then your answer will come!

Answer: $4.60 for 10 stamps

Step-by-step explanation: To find the unit rate, you have to divide the cost ($8.25) by the number of stamps (18) since you are figuring out the cost. $8.25/18=$0.458333333333, but you have to round it because it is money so it would be $0.46 per stamp. To find the cost of 10 stamps, you have to do $0.46x10=$4.60 (since there are 10 stamps).

Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).

To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.

In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.

On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:

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The slope of the line on the graph is - 2

The given parameter is the line on the graph

From the above graph, we have the following points

(x₁, y₁) = (0, 0)

(x₂, y₂) = (3, -6)

The slope of a line can be calculated using the following slope formula

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x₁, y₁) = (0, 0) and (x₂, y₂) = (3, -6)

Substitute the known values in the above equation

So, we have the following equation

Slope = (-6 - 0)/(3 -0)

Evaluate the quotient

Slope = -2

Hence, the slope is -2

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The solution of the function 3f(1) - 4g(-2)  is -19.

The functions can be solved as follows;

f(x) = 7x - 4

g(x) = 11 - x²

Therefore, let's solve the composite function as follows:

A composite function is generally a function that is written inside another function.

Hence,

3f(1) - 4g(-2) = ?

f(1) = 7(1) - 4 = 7 - 4 = 3

g(-2) = 11 - (-2)² = 11 - 4 = 7

Therefore,

3f(1) - 4g(-2) = 3(3) - 4(7) = 9 - 28 = -19

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The number is shown as a quotient in mathematics, where the numerator and denominator are split.

A fraction is a piece of the entire. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction. A correct fraction has a numerator that is lower than its denominator.

Fractions are used to depict the components of a whole or group of items. Two components make up a fraction. The numerator is the number that appears at the top of the line. It indicates how many equally sized pieces of the entire thing or collection were removed. The denominator is the quantity listed below the line.

Let the given equation be \($$1 / 10 \times 9 / 10$$\)

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\($$\begin{aligned}& 1 / 10=\frac{1}{10} \\& =\frac{1}{10} \times 9 / 10\end{aligned}$$\)

simplifying the equation, we get

\($$\begin{aligned}& \frac{1}{10} \times 9=\frac{9}{10} \\& =\frac{9}{10} / 10\end{aligned}$$\)

\($$\begin{aligned}& \frac{9}{10} / 10=\frac{9}{100} \\& =\frac{9}{100}\end{aligned}$$\)

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The cube root of -2i,

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

We can represent -2i in polar form as,

r(cosθ + i sinθ)

by computing its magnitude and angle.

The magnitude of -2i is 2

Since the absolute value of any imaginary number is equal to its magnitude.

To find the angle θ,

We can use the fact that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.

In this case,

The opposite side is -2 and the adjacent side is 0.

Therefore, we have tanθ = -2/0, which is undefined.

However,

We can use the fact that the cube root of a complex number is equal to the cube root of its magnitude times exp(iθ/3) to find the cube root of -2i.

So, the cube root of -2i is equal to the cube root of 2 times exp(iθ/3).

Now, we need to find the value of θ/3. Since θ is undefined,

we will represent it as π/2 + 2πn,

where n is any integer.

So, θ/3 = (π/2 + 2πn)/3 = π/6 + 2πn/3.

Therefore, the cube root of -2i is equal to

⇒  ∛2 [ cos(π/6 + 2πn/3) + i sin(π/6 + 2πn/3) ]

Now put n = 0

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

This is the final form of the cube root of -2i in the required form.

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Answer:

The 98% confidence interval to estimate the proportion of watermelon seeds that germinate is (0.4443, 0.6557). This means that we are 98% sure that the true proportion of all watermalong seeds of the company that germinate is between these two values, which means that there is good evidence that the proportion is below the 70% standard.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

Once a week for 12 weeks, he purchases a pack of 10 watermelon seeds to act as his sample. He plants the seeds in a greenhouse with good soil to maintain a consistent temperature and watering routine. He finds that the germination rate for the company's watermelon seeds is 55%.

This means that \(n = 12*10 = 120, \pi = 0.55\)

98% confidence level

So \(\alpha = 0.02\), z is the value of Z that has a p-value of \(1 - \frac{0.02}{2} = 0.99\), so \(Z = 2.327\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.55 - 2.327\sqrt{\frac{0.55*0.45}{120}} = 0.4443\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.55 + 2.327\sqrt{\frac{0.55*0.45}{120}} = 0.6557\)

The 98% confidence interval to estimate the proportion of watermelon seeds that germinate is (0.4443, 0.6557). This means that we are 98% sure that the true proportion of all watermalong seeds of the company that germinate is between these two values, which means that there is good evidence that the proportion is below the 70% standard.

Answer:

If you're saying Jan ate 1/4 of what was left. How much of the pie did Jan eat?

then the answer is 5/32

Step-by-step explanation:

Answer:

z=10

Step-by-step explanation:

We know that the ratio 7:21 is equal to the ratio of 10:3z.

Let's model that in proportions:

7               10

-       =        -

21             3z

Now that the equation is in proportional form, we can cross-multiply to find the value of z.

7 * 3z = 21 * 10 - Multiply both sides

21z = 210 - Divide both sides by 21

z=10

The answer is z=10.

We know that a dice have six possible outcomes, which are 1,2,3,4,5,6.

The event not rolling two means that the number of events is 5, because there are five numbers different than two. So, the probability is

Answer:

the probability would be 30% but as a fraction it would be 3/10

Step-by-step explanation:

Answer:

7/15

Step-by-step explanation:

The probability of the first one is 7/10 and the second one is 6/9. Multiply them together and you get 42/90, which simplifies to 7/15.

Answer:

Step-by-step explanation:

If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.  

7x12=84  

1/2x12=6

6+84=90

The cost price of the shorts is K22.50.

To find the cost price of the shorts, we need to reverse calculate the original price before the markup and taxes were applied.

Let's assume the cost price of the shorts is represented by C.

The markup of 17% is applied to the cost price, which means the selling price (including the markup) is 117% of the cost price.

117% of the cost price C can be calculated as (117/100) * C.

GST (Goods and Services Tax) is also included in the selling price. GST is typically calculated as a percentage of the selling price. In this case, the selling price of the shorts including GST is K29.25.

Since the GST is included in the selling price, we can subtract it from the selling price to obtain the selling price before GST.

Let's assume the GST rate is R% (as a decimal), then the selling price before GST can be calculated as:

Selling price before GST = Selling price - (Selling price × R)

In this case, the selling price before GST is K29.25, and the GST rate is 17% (0.17 as a decimal). Substituting these values into the equation, we have:

K29.25 = Selling price - (Selling price × 0.17)

Simplifying the equation

K29.25 = Selling price × (1 - 0.17)

K29.25 = Selling price × 0.83

Selling price = K29.25 / 0.83

Now we can substitute the selling price in terms of the cost price:

K29.25 / 0.83 = (117/100) × C

Simplifying the equation:

C = (K29.25 / 0.83) × (100/117)

Calculating the cost price C:

C = K22.50

Therefore, the cost price of the shorts is K22.50.

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