A card is picked at random from a deck. How do we interpret this notation: P(the number on the card is odd | the card is not a 7) Group of answer choices

1. We know the card is odd, and we want the chance of it not being a 7

2. We know that the card picked is not a 7, and we want the chance of it being odd

3. We want the chance of the card being both odd and not a 7

Answer:

X=6 and the last one, I answered the other one, check it for explanation!

Step-by-step explanation:

The total number of samples will be 1109 .

Given ,

Margin of error 0.02

Here,

According to the formula,

\(Z_{\alpha /2} \sqrt{pq/n}\)

Here,

p = proportions of scientist that are left handed

p = 0.09

n = number of sample to be taken

Substitute the values,

\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)

n ≈1109

Thus the number of samples to be taken will be approximately 1109 .

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Answer:

7..9

Step-by-step explanation:

get i get free points

Answer:

Step-by-step explanation:

it would be y2-y1 divided by x2-x1

On decomposing the vector 6i −3j −6k , we get the parallel vector as -i - j -k  and orthogonal vector as  i + j + k   .

The Vector is given as 6i −3j −6k ,

we have to decompose it in two components , Parallel Component and orthogonal Component .

the two components are parallel and orthogonal to i + j + k .

let us assume a = 6i - 3j -6k and b = i + j + k .

we write a = a₁ + a₂ , where a₁ is parallel to b and a₂ is orthogonal to b .

a₂ = xi + yj + 2k and a₁ = c.b ,.....equation(1)

a = 6i - 3j -6k = a₁ + a₂

                      = c(i+j+k) + xi + yj + 2k   ...from equation(1)

                      = (x+c)i + (y+c)j + (z+c)k

On comparing ,

we get ,

x + c = 6 , y + c = -3 and z + c = -6 ....equation(2)

also a₂.b = 0 .....because they are orthogonal ,

x + y + z = 0,

substituting the values ,

we get ,

b - c - 3 - c - 6 - c = 0

on solving , we have c = -1 .

substituting the values of c = -1  in equation(2) ,

we get x = 7 , y = -2 and c = -5 .

so ,the vectors are  a₁ = -i - j -k   and a₂ = 7i - 2j - 5k  .

Therefore , the parallel component is  -i - j -k and the orthogonal component is 7i - 2j - 5k .

The given question is incomplete , the complete question is

Decompose the vector 6i −3j −6k  into vectors which are parallel and perpendicular to the vector  i + j + k .

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Answer:

I wish you and your family a very happy makar Sankranti ! May you are filled with extreme joy and happiness start a new year with great enthusiasm and positivity. ♥️

Answer:

see below

Step-by-step explanation:

ED = 2 units

DF = 7 units

EF^2 = 2^2 + 7^2

EF^2 = 4 + 49

EF^2 = 53

EF = 7.28

Answer: 24(option A) is the answer

exterior angle = 360/n

so, n = 15

then, 360/15 = 24

Answer: The answer is valid, because you survey 100 people and 80 of them support building a new stadium.

Step-by-step explanation:

80% agree. 80/100 = 80%

Given the marginal willingness to pay for oil, the constant marginal cost of extraction, and a discount rate of 1%, the oil reserve will last for approximately 10.8 periods.



To determine how long the oil reserve will last, we need to find the point at which the marginal cost of extraction equals the marginal willingness to pay for oil. In this case, the marginal cost is constant at $4 per unit. The marginal willingness to pay is given by the equation P = 7 - 0.40q, where q represents the quantity of oil extracted.

Setting the marginal cost equal to the marginal willingness to pay, we have:4 = 7 - 0.40q

Simplifying the equation, we get:0.40q = 3

q = 3 / 0.40

q ≈ 7.5So, at q ≈ 7.5, the marginal cost and marginal willingness to pay are equal. We can interpret this as the point at which the country would extract the oil until the quantity reaches 7.5 units. To determine how long this would last, we need to divide the total oil reserve (5 units) by the extraction rate (7.5 units per period):5 / 7.5 ≈ 0.67

Since the extraction rate is less than 1 unit per period, it means that the oil reserve will last for approximately 0.67 periods. However, the discount rate of 1% needs to be taken into account. To calculate the present value of the oil reserve, we discount each period's value. Using the formula for present value, we find that the oil reserve will last for approximately 10.8 periods.

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The final expression shows that the solution is only valid in the range t > ln(1 - e⁻¹²)/4.  u =-1/4 ln(-\(e^{(4t) }\)+ e⁻¹² - 1).

To solve the separable differential equation:

u.du/dt = \(e^{(4u+4t)}\)

We can separate the variables by bringing all the u terms to one side and all the t terms to the other side:

\(1/e^{(4u)}\) du/dt =\(e^{(4t)}\)

Next, we integrate both sides with respect to their respective variables:

∫\(1/e^{(4u)}\) du = ∫\(e^{(4t)}\) dt

To integrate the left-hand side, we can use substitution. Let:

Substituting:

∫\(1/e^v\)* (dv/4) = (1/4) ∫\(1/e^v\) dv = -(1/4) \(e^{(-4u)}\)

To integrate the right-hand side, we simply use the formula for integrating eˣ:

∫\(e^{(4t)}\) dt = (1/4) \(e^{(4t)}\)

Putting it all together, we have:

-(1/4) \(e^{(-4u)}\) = (1/4) \(e^{(4t)}\) + C

where C is the constant of integration.

To find the value of C, we use the initial condition u(0) = 3:

-(1/4) e⁻⁴³ = (1/4) e⁴⁰ + C

C = -(1/4) e⁻¹²+ (1/4)

Therefore, the solution to the differential equation with the given initial condition is:

-(1/4) \(e^{(-4u)}\) = (1/4) \(e^{(4t)}\) - (1/4) e⁻¹² + (1/4)

Multiplying both sides by -4, we get:

\(e^{(-4u)}\) = -\(e^{(4t) }\)+ e⁻¹²- 1

Finally, we can solve for u:

u = -1/4 ln(-\(e^{(4t) }\)+ e⁻¹² - 1)

Note that the expression inside the logarithm is negative for t less than ln(1 - e⁻¹²)/4 and positive for t greater than ln(1 - e⁻¹²)/4.

This means that the solution is only valid in the range t > ln(1 - e⁻¹²)/4.

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Answer:

180°

Step-by-step explanation:

Answer:

2 balloons.

Step-by-step explanation:

6x = 430

x = 71.6

He has to buy 72 packs, there will be:

72 * 6 = 432 - 430 = 2 balloons left.

Answer:

-29, -34, -39

Step-by-step explanation:

the numbers are going down by five each time.

-24-5=-29

-29-5=-34

-34-5=-39

Hope this helps!

Answer:

-29

Step-by-step explanation:

because -14 and -19 is minus 5

Answer:

x = 5

Step-by-step explanation:

Expressing the ratio in fractional form , that is

\(\frac{9}{x}\) = \(\frac{36}{20}\) ( cross- multiply )

36x = 180 ( divide both sides by 36 )

x = 5

Answer:

yes it is

Step-by-step explanation:

Answer:

4.5 inches

Step-by-step explanation:

volume= 1/3 (base area) × height

47.25= 1/3 ( base area) × 7

20.25 = base area

now since the base is a square we can evaluate base area = length²

20.25= length²

length = 4.5 inches

Answer:

  (a² +x +1)(a² -x -7)

Step-by-step explanation:

This expression can be factored by making use of the pattern for factoring the difference of squares. That pattern is ...

  p² -q² = (p +q)(p -q)

__

We can split the term -7 into the sum +9-16 so that parts of the expression can be written as squares.

  \(a^4 -6a^2-7-8x-x^2\\\\=(a^4-6a^2+9)-(16+8x+x^2)\qquad\text{use -7=9-16, group terms}\\\\=(a^2-3)^2-(4+x)^2\qquad\text{write as squares}\)

  \(=((a^2-3)+(4+x))\times((a^2-3)-(4+x))\qquad\text{factor using the pattern}\\\\=\boxed{(a^2+1+x)(a^2-7-x)}\qquad\text{simplify each factor}\)

Answer:

S = {1, 2, 3, . . . 49, 50}, n(S) = 50 (i) Condition for event A : number is divisible by 6. A = {6, 12, 18, 24, 30, 36, 42, 48} n(A) = 8 (ii) Condition for event B : the number on the card is a complete square. B = {1, 4, 9, 16, 25, 36, 49} n(B)

Step-by-step explanation:

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After ten years, you will have approximately $34,448.12.

To calculate the future value of an amount invested at a certain interest rate, we can use the compound interest formula:

Future Value = Present Value * (1 + interest rate)^number of periods

In this case, we will receive $15,500 in three years and then invest it for seven more years at a 9% interest rate.

Step 1: Calculate the future value after three years.

Future Value after three years = $15,500 * (1 + 0.09)^3

Step 2: Calculate the future value after ten years (three years plus the additional seven years).

Future Value after ten years = Future Value after three years * (1 + 0.09)^7

Let's calculate the future value using the given values:

Future Value after three years = $15,500 * (1 + 0.09)^3

= $15,500 * (1.09)^3

= $15,500 * 1.295029

= $20,045.45

Future Value after ten years = $20,045.45 * (1 + 0.09)^7

= $20,045.45 * (1.09)^7

= $20,045.45 * 1.71899

= $34,448.12

Therefore, after ten years, you will have approximately $34,448.12.

It's important to note that this calculation assumes that the interest is compounded annually. If the interest is compounded more frequently (e.g., semi-annually or quarterly), the calculation would be slightly different.

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the evaluation of the function at 0, -3, and 2 is 1, 1/125, and 25, respectively.

f(0) = 1, f(−3) = 1/125, f(2) = 25

f(0) = 5^0 = 1

f(−3) = 5^−3 = 1/5^3 = 1/125

f(2) = 5^2 = 25

f(0) = 5^0 = 1

f(−3) = 5^−3 = 1/5^3 = 1/125

f(2) = 5^2 = 25

The function f(x) is equal to 5 to the power of x. This means that when evaluating the function at different points, we need to take the number 5, and raise it to a certain power depending on the value of x.

When evaluating the function at 0, the power is 0, so 5 to the power of 0 is equal to 1. When evaluating the function at -3, the power is -3, so 5 to the power of -3 is equal to 1/125. Finally, when evaluating the function at 2, the power is 2, so 5 to the power of 2 is equal to 25.

Therefore, the evaluation of the function at 0, -3, and 2 is 1, 1/125, and 25, respectively.

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Answer:

6 units i think but i dont u how u do it

Answer: x < 4

Step-by-step explanation:

    The graph uses an open circle, this means we will use the < or > symbol because it is not equal to.

    The open circle is on the 4.

    The arrow goes to the left of 4, meaning it is equal to values less than 4.

    Our inequality:

              x < 4

Answer:

101

Step-by-step explanation:

The leftover weight that can be put onto the container (x)

x = 24500 - 12300

x = 12200

The amount of crates that can be hauled into the container

x = 12200 / 120

= 101.6667

We need a whole number so we round down.

= 101

:)

The maximum number of African cichlids which can put by Chiletso  in this cylindrical fish tank is 19.

Volume of cylinder is the amount of quantity, which is obtained by it in the 3 dimensional space.

The volume of the cylinder can be given as,

V=(πd^2h)4

Here, (d) is the diameter of the base of the cylinder and (h) is the height of the cylinder.

The height of tank is 30 inches and the length of the diameter of the base is 27.5 inches. Thus, the volume of it is,

V=[π(27.5)²(30)] /4

V=17818.72 cubic inches.

One us gallon is equal to approximately 231 cubic inches. Thus, the volume in gallon is,

V=17818.72/231

V=77.12 gallons.

A good rule of thumb is to have about 3 inches of fish per 2 gallons of water. The number of 6 inches cichlids the can put in 77.12 gallons tank is,

V=(77.12 x 3)/(6 x 2)

V=19.28

Thus, the maximum number of African cichlids which can put by Chiletso  in this cylindrical fish tank is 19.

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Answer:

31%

33%

Step-by-step explanation:

I'm not 100% sure. I tried my best.

Answer:

2.25

Step-by-step explanation:

Change the fraction so that the denominator is something that's a factor of 100

9/4 = x/100

9 x 25 = 225

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

4 x 25 = 100

225/100

Now divide to get your decimal

225/100 = 2.25

4) The equation of a line in the slope intercept form is expressed as

y = mx + b

where

m represents slope

b represents y intercept. This is also the point where the line cuts across the y axis.

The formula for determining slope is expressed as

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

y2 and y1 are final and initial values of y corresponding to given points on the line and on the vertical axis.

x2 and x1 are final and initial values of y corresponding to given points on the line and on the horizontal axis. From the graph,

when x1 = - 1, y1 = - 4

when x2 = 1, y2 = 2

m = (2 - - 4)/(1 - - 1) = 6/2

m = 3

Slope of the line = 3

y intercept, b = - 1

Thus, equation of the line is

y = 3x - 1

Answer:

nice thanks for answer

Answer:

cotA-cosec4A

Step-by-step explanation:

LHS=1/sin2A + cos4A/sin4A

=1/sin2A +cos4A/2sin2.Acos2A

=1/sin2A (1+cos4A/2cos2A)

=1/sin2A(2cos2A+cos^2A-sin^3A)/2Cos2A

=1/sin2A(2cos2A+cos^2Ac-(1-cos^2A)/2cos2A

=1/sin2A(2cosA(1+cos2A)-1)/2cos2A

=1/sin2A(1+cos2A-1/2cos2A)

=1+cos2A/sin2A-1/sin2A.cos2A

=1+2cos^A-1/2sinA.cosA-1/sin4A

=2cos^A/2sinA.cosA-1/sin4A

=cosA/sinA-1/sin4A

=cotA-cosec4A

=LHS=RHS

Answer:

False

Step-by-step explanation:

\(y = x^2-3x+8\)

Y-intercept is when x = 0

So, Putting x = 0 in the above equation

\(y = (0)^2-3(0)+8\\y = 0-0+8\\y = 8\)

So, y-intercept = 8

y-intercept = -3 is a false statement.

Answer:

\(\boxed{false}\)

Step-by-step explanation:

The y-intercept is when the value of x is 0.

Let x = 0

y = 0² - 3(0) + 8

y = 0 - 0 + 8

y = 8

The y-intercept is 8.