What is (14x^2– 27x+9) / (7x-3)?

A. 7x-3
B. 2x-3
C. -211x+9
D. 2x-33

9514 1404 393

Answer:

  $8833

Step-by-step explanation:

The account balance will be given by the formula ...

  A = P(1 +rt)

where P is the amount invested, r is the annual rate, and t is the number of years.

  A =- $7300(1 +0.07·3) = $7300·1.21 = $8833

The ending balance is $8833.

If the Hypothesis p is false and conclusion q is false then the disjunction ∼q⟶p is false.

In classic propositional logic, a conjunction is a binary operator, that is, used to connect two propositions. A conjunction between two propositions is always true if and only if each of the two propositions are also true, otherwise the compound proposition is false.

Logic Disjunction; consider p and q are propositions.

The dis-junction of p and q, is denoted by p ∨ q, is the proposition called "p or q".

The rule for the 'or' operation would be; If any of the propositions are true, then the result is true.

Thus, If the Hypothesis p is false and conclusion q is false then the disjunction ∼q⟶p is false.

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Answer:

Rate of change: 25

Initial value: 25

Equation: y = 25x + 25

Step-by-step explanation:

✔️hours = x

Fee = y

Rate of change (m) = ∆y/∆x

Rate of change (m) = 25/1 = 25

Rate of change (m) = 25

✔️Initial value = y-intercept (b).

To find the initial value, simply substitute (x, y) = (1, 50) and m = 25 into y = mx + b.

Thus:

50 = (25)(1) + b

50 = 25 + b

Subtract 25 from each side

50 - 25 = b

25 = b

b = 25

✔️To write an equation, substitute m = 25 and b = 25 into y = mx + b.

Thus:

y = 25x + 25

Answer:

-.5 or -1/2

Step-by-step explanation:

rise over run

you rise 2 and run left 4

the slope is negative

Answer:

aaaaaaaaaaaaammmmmmmmmmmmmmmm id say 10/31-v

Step-by-step explanation:

Answer:

...Okay thank you!

Step-by-step explanation:

...... :)

Answer:

Hello random person, thanks for the points! <3

Answer:

X+7 < 40 is the answer

x can equal anything less than 33

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

704 cubic centimeters

Answer:

the experimental probability of being struck by lightning in this city is approximately 0.56667%.

Step-by-step explanation:

The experimental probability of an event happening is calculated by dividing the number of times the event occurred by the total number of trials or observations. In this case, the event is being struck by lightning, and the trials are the total number of people in the city.

The number of people struck by lightning is given as 85, and the total population of the city is 1.5 million. To find the experimental probability of being struck by lightning in this city, we can divide the number of people struck by lightning by the total population and multiply by 100% to express the answer as a percentage:

Experimental probability = (number of people struck by lightning / total population) * 100%

Experimental probability = (85 / 1,500,000) * 100%

Experimental probability = 0.0056667 * 100%

Experimental probability = 0.56667%

Therefore, the experimental probability of being struck by lightning in this city is approximately 0.56667%.

The value of x in the triangle is 10

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted by triangle ABC.

The sum of the three angles in a triangle is 180°.

Therefore

(5x - 5)° + 8x + (6x - 5) =180

5x-5+8x+6x-5 = 180

collect like terms

5x+8x+6x-5-5 = 180

19x = 180+10

19x = 190

divide both sides by 19

x = 190/19

x= 10

therefore the value of x is 10

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Answer:

i) Assigning women at random ensures that the two groups are comparable.

iv) A control group provides a baseline for comparisons to determine treatment effects.

Step-by-step explanation:

(a)

It is pertinent that there two comparable groups. In light of the fact that it will help in making better decisions since there will be some people who have blood pressure as a result of uncontrolled physical characteristics such as anger, positive attitude, lower blood pressure. etc Thus, there is a need to consider two equivalent groups.

(b)

A control group is used as a benchmark for determining the cause and effect of a treatment on a given experimental group. This may be in regard to the social aspect of meeting other individuals involved that make up the physical changes.

Answer:

131072

Step-by-step explanation:

Answer: The answer is 131072.

Step-by-step explanation:

Using a calculator, we find that \(2^{17}=\boxed{131072}.\)

The probability of observing such an extreme result by chance alone is 0.0124.

To find the P-value for a two-tailed test of hypothesis, we need to first determine the significance level (alpha) of the test. Let's assume a significance level of 0.05, which is a common choice.

Since this is a two-tailed test, we need to find the probability of observing a test statistic as extreme or more extreme than 2.5 in either direction. We can find this probability using a standard normal distribution table or a calculator.

Using a standard normal distribution table, we can find that the probability of observing a z-score of 2.5 or greater is 0.0062. The probability of observing a z-score of -2.5 or smaller is also 0.0062. Therefore, the P-value for the two-tailed test of hypothesis is:

P-value = 2 * 0.0062

P-value = 0.0124

This means that if the true proportion of business students who have personal computers at home differs from 30%, with a significance level of 0.05, and we obtain a test statistic of 2.5, then the probability of observing such an extreme result by chance alone is 0.0124.

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Rounded to the nearest hundredth, the value of y at \(x = 7\) is approximately \(12.78\), according to the concept of linear regression line.

To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form \(y = mx + b\), where m represents the slope and b represents the y-intercept.

Using the provided data, the linear regression line equation is:

\(\[ y = 1.3642x + 3.2324 \]\)

To find the value of \(y\) at \(x = 7\), we substitute \(x = 7\) into the equation:

\(\[ y = 1.3642(7) + 3.2324 \]\)

Simplifying the equation, we get:

\(\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \]\)

In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is \(y = 1.3642x + 3.2324\). By substituting \(x = 7\) into the equation, we find that the estimated value of y is approximately \(12.78\). This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.

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The baby's weight at birth was approximately 7.1 pounds.

Given that

(1, 7.3) and (10, 9.1)

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:

m = (y2 - y1) / (x2 - x1)

Using the values (1, 7.3) and (10, 9.1), we can find the slope of the line passing through these two points:

m = (9.1 - 7.3) / (10 - 1) = 0.2

The equation of the line is:

y = mx + b

To find the value of b, we can use one of the given data points

7.3 = (0.2(1) + b

Solving for b, we get:

b = 7.1

So the equation of the line is:

y = 0.2x + 7.1

To find the baby's weight at birth (i.e., when x = 0), we can substitute x = 0 into the equation:

y = 0.2(0) + 7.1

y = 7.1

Therefore, the baby's weight was 1 pounds.

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Answer:

B

Step-by-step explanation:

-4

Answer: B aka -4

Step-by-step explanation:

edge2022 hope this helps

Answer:

Line R, S, and P are parallel lines meaning any lines that pass through them will form the same angles. Look at 4 and 2. One line is intersecting S and P to for the same angles. Corresponding angles in parallel lines which are formed by an intersecting line are equal. Therefore 4 and 2 are equal. That leaves B, C, and D left. 4 is also congruent to 5.  This is because if 4 is congruent to 2 and 2 is congruent to 5 by vertical angles theorem, 5 must be equal to 4 (transitive property of equality: is a=b and b=c then a=c)

That leaves B and D left. Notice the angle made at the very top left. Across from that unlabeled angle is 6. By vertical angles theorem those 2 angles are congruent. The unmarked angle is equal to 2 and 4 because corresponding angles in parallels are congruent. Therefore lets mark that unmarked angle as 0. If the m< 6 = m< 0 and the m<0= the m<4 then m<6 must equal the m<4.

That leaves Just B remaining thus B is NOT congruent to 4

<3 is the answer

Step-by-step explanation:

The probability that a person who tests positive actually has the disease is approximately 0.194.

What exactly is probability?

Probability is a measure of an event's possibility or chance of occurring. It is stated as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event. Probabilities ranging from 0 to 1 reflect occurrences that are probable but not guaranteed.

P(A) denotes the probability of an event A as the ratio of the number of possibilities that favour event A to the total number of potential outcomes. In other words, it is the number of possible outcomes for event A divided by the total number of possible outcomes.

Now,

To compute the probability that a person who tests positive actually has the disease, we can use Bayes' theorem, which states that:

P(A|B)=P(B|A)*P(A)/P(B)

where A and B are events, P(A | B) is the probability of event A when event B has occurred, P(B | A) is the probability of event B when event A has occurred, P(A)= prior probability of event A, and P(B) = prior probability of event B.

In this case, let A be the event of having the disease and B be the event of testing positive.

The incidence rate of the disease is 0.8%, which means that P(A) = 0.008.

The false negative rate is 6%, which means that P(B' | A) = 0.06 (where B' is the complement of event B, i.e., testing negative given that the person has the disease).

The false positive rate is 3%, which means that P(B | A') = 0.03 (where A' is the complement of event A, i.e., not having the disease).

We can compute P(B) using the law of total probability:

P(B) = P(B|A)*P(A) + P(B|A')*P(A')

= (1-P(B'|A))*P(A)+P(B|A')*(1-P(A))

= (1 - 0.06) * 0.008 + 0.03 * (1 - 0.008)

= 0.0328

Now we can use Bayes' theorem to compute P(A | B):

P(A | B) = P(B | A) * P(A) / P(B)

= (1 - P(B' | A)) * P(A) / P(B)

= (1 - 0.06) * 0.008 / 0.0328

= 0.194

Therefore,

                 the probability will be 0.194.

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Answer:

\(\sqrt{28}\)

Step-by-step explanation:

the point lies between 5 and 6 , that is between

\(\sqrt{25}\) and \(\sqrt{36}\)

therefore the poi nt approximates to the \(\sqrt{28}\)

The area of the park is 12 square units.

To find the area of the park, we can use the Shoelace Formula (also known as Gauss's area formula). This formula allows us to calculate the area of any polygon given the coordinates of its vertices.

The Shoelace Formula states that if we have the coordinates of the vertices of a polygon in counterclockwise order (x₁, y₁), (x₂, y₂), ..., (xn, yn), then the area (A) of the polygon is given by:

A = 1/2 × |(x₁y₂ + x₂y₃ + ... + xn-1yn + xny₁) - (y₁x₂ + y₂x₃ + ... + yn-1xn + ynx₁)|

In our case, the coordinates of the park's vertices are (-9, -9), (-3, -9), and (-6, -5). Let's calculate the area using the Shoelace Formula:

A = 1/2 × |(-9 × -9 + -3 × -5 + -6 * -9) - (-9 × -3 + -9 × -6 + -5 × -9)|

Simplifying further:

A = 1/2 × |(81 + 15 + 54) - (27 + 54 + 45)|

A = 1/2 × |150 - 126|

A = 1/2 × |24|

A = 12

Therefore, the area of the park is 12 square units.

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Answer:

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

Plot the given vertices and connect.

See attached.

Then add the height CD.

The base is AB, with the length:

The height is CD, with length:

Find the area using equation:

im thinking of getting a new pair of nike shoes and a nike sweatshirt (i didnt really ask for much lol)

Answer:

\(y=68x-235\)

Step-by-step explanation:

\(f(x) = 5x^2-2x + 10\)

Differentiate:

\(\implies f'(x)=10x-2\)

Substitute \(x=7\) into \(f'(x)\):

\(\implies f'(7)=10(7)-2=68\)

Therefore, 68 is the gradient of the tangent line at x=7:

\(\implies y-y_1=68(x-x_1)\)

when \(x=7\), \(y=5(7)^2-2(7)+10=241\)

\(\implies y-241=68(x-7)\)

\(\implies y=68x-235\)

Answer:

A-1/3

B-1/8

C-?

Step-by-step explanation:

22cm^3

Step-by-step explanation:

My education system is different so I dont know what nearest tenth would mean in this .

But going mathematically:

Its diameter is 7 centimetres.

So to find its volume we can use the formula pi/d or pi/r^2

Now, 22/7÷7 would be 22cm³.

Answer: $235.4

Step-by-step explanation:

Given

Price list on slacks is $22

Price list on jumpers is $37

Store ordered 30 pairs of slacks and 40 Jumpers

Total price becomes

\(\Rightarrow 22\times 30+37\times 40\\\Rightarrow \$2140\)

for a discount of 11%

Trade discount is \(2140\times 11\%\)

\(\Rightarrow 2140\times 0.11\\\Rightarrow \$235.4\)

Mikey Johnson shipped out 34 2/7 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 1/7 pounds each. Therefore, Mikey shipped out 16 packets of electrical supplies.

To solve the problem, we can use the following steps.Step 1: Find the weight of each packet.

We are given that the weight of each packet is 2 1/7 pounds.

To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.

This gives us: 2 1/7 = (2 × 7 + 1) / 7= 15 / 7 pounds.

Therefore, the weight of each packet is 15/7 pounds.

Now, divide the total weight by the weight of each packet.

We are given that the total weight of the supplies shipped out is 34 2/7 pounds.

To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.

This gives us: 34 2/7 = (34 × 7 + 2) / 7= 240 / 7 pounds.

Therefore, the total weight of the supplies is 240/7 pounds.

To find the number of packets that Mikey shipped out, we can divide the total weight by the weight of each packet.

This gives us: 240/7 ÷ 15/7 = 240/7 × 7/15= 16.

Therefore, Mikey shipped out 16 packets of electrical supplies.

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The equation of h(x) described in the table is a quadratic function and it is in the vertex form as h(x) = (x + 2)² - 3.

The vertex form of a quadratic function is

f(x) = a(x – h)² + k, where a, h, and k are constants. If a parabola opens upward, it has a lowest point. If a parabola opens downward, it has a highest point. This lowest or highest point is the vertex of the

parabola.

The quadratic function h(x) has its vertex at the coordinate (-2, -3), that is at the point where x = -2 and y = -3. Note that a the coefficient of the function is 1, so in vertex form:

h = -2 and k = -3 and by substitution;

h(x) = 1[x - (-2)]² + (-3)

h(x) = (x + 2)² - 3

Therefore, the h(x) = (x + 2)² - 3 is the vertex form of the quadratic function h(x) described in the table.

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To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.

The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.

The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.

$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:

$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow

A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow

A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$

Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).

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Answer:

perimeter= a+b+c

Step-by-step explanation:

perimeter= 4+8+4= 16cm