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Question 13 (1 point)
Mr Lester buys pineapples for $1.50. He sells them for 60% more, to make a profit.
Work out the sellign price of a pineapple.
$
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0.0323 is the probability that it is a false negative​ (the test indicates the person does not have the disease when in fact they​ do)

It is a branch of mathematics that deals with the occurrence of a random event.

Let A be the event of “Negative Test Result” and B be the event of “subject has the disease”. Now,

the total  of results is 120+4+172+13=309

Subject has the disease=120+4=124

P(A and B)=4/309

P(B)=124/309

P(negative test result | subject has the disease)

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

=(4 / 309) / (124 / 309)

=4 / 124

=1 / 31

0.0323.

Hence 0.0323 is the probability that it is a false negative​ (the test indicates the person does not have the disease when in fact they​ do)

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We cannot determine the quantity demanded if a price ceiling is set at $200, therefore, the answer is none of the options given in the question.

A price ceiling is a legal maximum amount for a good or service. A ceiling price means that a price is not allowed to be charged that is higher than the ceiling. Price ceilings are usually set by governments.

Therefore, if the price ceiling is set at $200, it means that the price of a product cannot be higher than $200.

The quantity demanded would depend on the price and the consumer's willingness to pay.

So, it cannot be determined by just knowing the price ceiling. Hence, we cannot determine the quantity demanded if a price ceiling is set at $200. We need additional information like demand curves, prices, and other factors that affect the demand for the product.

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To test your hypothesis, you would use the One Sample T test. This test is appropriate for comparing the mean of a single sample to a known value, which in this case is 47.

The T test: two sample assuming unequal variances and T test: two sample assuming equal variances are used to compare the means of two independent samples, while the T test: paired two sample for means is used to compare the means of two related samples. None of these tests would be suitable for testing your hypothesis about the average age of customers who buy BMX bicycles.
To test the hypothesis that the average age of customers who buy BMX bicycles is greater than 47, you should use the "One Sample T-test."
The One Sample T-test is appropriate in this scenario because you are comparing the average age of customers to a specific value (47) rather than comparing two different groups of customers. The other T-test options, such as two-sample T-tests and paired two-sample T-tests, are not suitable as they involve comparing two separate groups or pairs of related data.

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Answer:

$18,000.

Step-by-step explanation:

When their weekly pay is the same:

185 + 0.03x =  275 + 0.025x

0.03x - 0.025x =  275 - 185

0.005x = 90

x =90/0.005

x = 18,000

The two positive real numbers with a product of 11 that have the smallest possible sum are √11 and √11. In decimal form, these numbers are approximately 3.3166 and 3.3166.

To determine two positive real numbers whose product is 11 and have the smallest possible sum, we can use the concept of the arithmetic mean-geometric mean inequality.

Let the two numbers be x and y.

We have the following conditions:

1. xy = 11 (product of the two numbers is 11)

2. x > 0, y > 0 (both numbers are positive)

According to the AM-GM inequality, the arithmetic mean of two numbers is always greater than or equal to the geometric mean of those numbers.

Using this inequality, we have:

(x + y)/2 ≥ √(xy)

Substituting the value of xy as 11, we get:

(x + y)/2 ≥ √11

To minimize the sum (x + y), we need to make it as close as possible to the right side of the inequality.

This occurs when equality holds, that is, when:

x = y = √11

So, the answer is approximately (3.3166, 3.3166).

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Work Shown:

r = 6 = radius

V = volume of a sphere of radius r

V = (4/3)*pi*r^3

V = (4/3)*pi*6^3

V = 904.77868423386

V = 904.8

I used my calculator's stored version of pi (instead of something like pi = 3.14)

The units "cubic meters" can be abbreviated to m^3 or \(m^3\)

The volume of the given sphere is 904.8 cubic meters. Thus, option B is the answer.

         The volume of a sphere can be calculated using the formula:

V = \(4/3 * \pi * r^3\),

Where V is the volume and r is the radius of the sphere.

\(\pi\) = 3.14

The radius of the sphere (r) = 6m

Plugging in the given radius of 6m into the formula, we get:

V = (4/3) * \(\pi\) * (6^3)

V = 1.333 * \(\pi\) * 216

V = 1.333 * 3.14 * 216

V = 4.1866 * 216

V = 904.8 cubic meters

Therefore, when the radius of the sphere is 6m, the volume of the sphere is 904.8  cubic meters.

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Answer:

A 400 sq in

Step-by-step explanation:

10^2*3.14=314, I just rounded to the closest answer sorry if it's wrong.

Given the inverse demand function p = 100 - 20q for toasters and a price of $35, we can find the consumer surplus.

First, we'll find the quantity demanded at the given price:

35 = 100 - 20q
20q = 100 - 35
q = (100 - 35) / 20
q = 65 / 20
q = 3.25

Now, to find the consumer surplus, we'll use the formula:

Consumer Surplus = (1/2) × Base × Height

The base represents the quantity (q = 3.25) and the height is the difference between the maximum willingness to pay (p = 100) and the actual price (p = 35).

Consumer Surplus = (1/2) × 3.25 × (100 - 35)
Consumer Surplus = 0.5 × 3.25 × 65
Consumer Surplus = 105.625

So, the consumer surplus is $105.63 when rounded to two decimal places.

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Answer:

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

STEP

2

:

Equation at the end of step

2

:

STEP

3

:

           2x3 - x2 - 6x

Simplify   —————————————

           2x2 - 7x + 6

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  2x3 - x2 - 6x  =   x • (2x2 - x - 6)

Trying to factor by splitting the middle term

4.2     Factoring  2x2 - x - 6

The first term is,  2x2  its coefficient is  2 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -6

Step-1 : Multiply the coefficient of the first term by the constant   2 • -6 = -12

Step-2 : Find two factors of  -12  whose sum equals the coefficient of the middle term, which is   -1 .

     -12    +    1    =    -11

     -6    +    2    =    -4

     -4    +    3    =    -1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -4  and  3

                    2x2 - 4x + 3x - 6

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (x-2)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-2)

Step-5 : Add up the four terms of step 4 :

                   (2x+3)  •  (x-2)

            Which is the desired factorization

Trying to factor by splitting the middle term

4.3     Factoring  2x2-7x+6

The first term is,  2x2  its coefficient is  2 .

The middle term is,  -7x  its coefficient is  -7 .

The last term, "the constant", is  +6

Step-1 : Multiply the coefficient of the first term by the constant   2 • 6 = 12

Step-2 : Find two factors of  12  whose sum equals the coefficient of the middle term, which is   -7 .

     -12    +    -1    =    -13

     -6    +    -2    =    -8

     -4    +    -3    =    -7    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -4  and  -3

                    2x2 - 4x - 3x - 6

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (x-2)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-2)

Step-5 : Add up the four terms of step 4 :

                   (2x-3)  •  (x-2)

            Which is the desired factorization

Canceling Out :

4.4    Cancel out  (x-2)  which appears on both sides of the fraction line.

Final result :

 x • (2x + 3)

 ————————————

    2x - 3  

Answer:

y = 1/3x - 1

Step-by-step explanation:

1. if the gradient is -3, then the gradient of the perpendicular line should be 1/3.

2. substitute the new gradient and points into y - y1 = m (x - x1)

3. rearrange/move everything to give you the equation in y = mx + c form

Answer: 178.3

Step-by-step explanation:

Use cos to find the value of x: cos(27)=350/x

You will find x = 392.81

Using this value, find sin(27):  Sin(27)=y/392.81

You will find y=178.33

Rounding to the nearest tenth, you get 178.3

Q.2: A review of the t-test on the significance of individual independent variable suggests that, based on the p-values. None of the independent variables could be retained. This is because if the p-value is high, it means the significance is low.

Q3: Choose the right option below. Based on the full regression model involving all of the independent variables. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885.

Q.4: Based on VIF values, there is concern for collinearity in this dataset. True

Q5: Based on the normal probability plot, the normality assumption seems to be met. True

Q7: Based on conducting residual analysis the model seems. Adequate.

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Hi there!

The answer for this question is C, BD. As you can see, BC and DA are the same which means that AB and CD are also the same.

That only leads to BD which means that BD has the shortest sides.

Answer:

100°

Step-by-step explanation:

m L 1 = (180-100) + 20 = 80+20 = 100°

Answer:117

Step-by-step explanation:

I’m good at math

Answer:

117 Roses

Step-by-step explanation:

234 *0.5 = 117

Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.

The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.

In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.

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Answer:

this is your answer look it once

Answer:

5: x > 6

6: x < 62

Step-by-step explanation:

\((1)x + 14 < 2(3x - 8) \\ x + 14 < 6x - 16 \\ x - 6x < - 16 - 14 \\ -5x < - 30 \\ x > \frac{ - 30}{ - 5} \\ x > 6 \\ \)

\((2)2(x + 22) > 3x - 18 \\ 2x + 44 > 3x - 18 \\ collect \: like \: term \\ 2x - 3x > - 18 - 44 \\ - x > - 62 \\ x < 62\)

Answer: 14.4

Step-by-step explanation: To find the third side of the triangle, we have to  use the pythagorean theorem...

a² + b² = c²

a² + 4² = 15²

a² + 16 = 225

225 - 16 = 209

\(\sqrt{209}\)

a ≈ 14.4 (If rounded it would be 14)

I hope this helps!

Answer:

6k 2k-6

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The number is x, then:

The number is 3

The value of angle ACB in terms of X is given as 90 - 2x degrees

We have BC to be a tangent to the circle that we have here

∠OBC = 90 degrees

We have the angle that is at to be a circle

AO = OB

then ∠OAB = ∠ABO = X degrees

∠BOC = ∠DAB + ∠ABO = 2x degrees

∠ACB = 90 - 2x degrees

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Answer:

n=6

j=15

u=7.6

Step-by-step explanation:

Given TACBRD=MYPXEF

we find that the ratio is 1 : 2.5 and we solve from here

Answer:

2/5

Step-by-step explanation:

2/10+2/10=4/10

4/10 divided by 2/2= 2/5

Hope this helps!

Answer;

2/10 + 2/10 is 4/10 and then simplified it would be 2/5 because 2 goes into both 4 and 10.

2/10 + 2/10 = 4/10

4/10 = 2/5

Hope this Helps!

Answer:

x ≤ -3

Step-by-step explanation:

Solve for x by getting it alone.

2(x - 3) - 3x ≥ -3

Distribute the 2 to both x and 3.

2x - 6 - 3x ≥ -3

Combine like-terms.

-x - 6 ≥ -3

Add 6 to both sides/

-x ≥ 3

Divide -1 by both sides, and since you're dividing by a negative sign, switch the greater than equal to sign to a less than or equal to sign.

x ≤ -3

Answer:

2x-6-3x ≥ -3

-x -6 ≥ -3

-x ≥ -3+6

x ≥ -3

Answer:

3 slices

Step-by-step explanation:

37.5% = 0.375

We take

8 times 0.375 = 3 slices

So, 3 slices of pie remain after dinner.