Jon has 5 pairs of socks in his suitcase. What type of number is given here? 1. Whole, integer, rational, real 2. Integer, rational, real 3. Natural, whole, integer, rational, real 4. Rational, real

42 = 2(W+L)

21= (W+L)

L= 3+5W)

21= W +(3+5W)

21= 3+6W

21-3=6W

18=6W

W=18/6

=3

Answer:

w = PERIMETER/2 - LENGTH

w = 42/2 - (3+5w)

PS. I THINK THIS IS RIGHT. NOT TOO SURE, BUT MOST LIKELY.

The value of the y-intercept for the logistic function f(x) = 100/(1 + 5(0.8)^-x) is 16.67.

The y-intercept of a function represents the point where the graph of the function intersects the y-axis. At the y-intercept, the value of x is 0. To find the y-intercept of the given logistic function, we can substitute x = 0 into the equation and simplify.

f(0) = 100 / (1 + 5(0.8)^0) = 100 / 6 = 16.67

Therefore, the y-intercept of the logistic function f(x) = 100/(1 + 5(0.8)^-x) is 16.67. This means that the graph of the function will intersect the y-axis at the point (0, 16.67).

The logistic function is commonly used to model growth or decay that starts slowly, increases rapidly, and then levels off over time. The denominator of the function, 1 + 5(0.8)^-x, ensures that the function approaches 100 as x increases without bound. The constant 100 represents the maximum possible value of the function.

The y-intercept represents the initial value of the function when x = 0, which is the starting point for the growth or decay modeled by the function. In the case of the logistic function, the initial value is 16.67, which means that the growth or decay starts at a relatively low level before accelerating and eventually leveling off.

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Answer:

I know I'm a little late, but there are 10 different ways the plate can be filled.

Step-by-step explanation:

Formula:

The probabilities of the states of nature after revising the prior probabilities based on sample information are called posterior probabilities.

The concept of posterior probabilities is fundamental in Bayesian statistics, which is a branch of statistics that deals with probability distributions of parameters based on prior knowledge and observed data. In Bayesian statistics, the prior probability represents the degree of belief in a hypothesis before new data is collected. The posterior probability, on the other hand, represents the updated degree of belief in the hypothesis after new data is collected.

The posterior probability is calculated using Bayes' theorem, which relates the conditional probabilities of the hypothesis and the data. The formula for Bayes' theorem is:

posterior probability = (prior probability x likelihood) / evid

The likelihood represents the probability of observing the data given the hypothesis, while the evidence is a normalizing constant that ensures the posterior probability integrates to one.

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Answer:

the answer is 15.5⁰ Celcius

Answer: 4:3

Step-by-step explanation:

The side length of the triangle is 48/3 = 16.

The side length of the square is 48/4 = 12.

So, the ratio is 16:12 = 4:3.

The following data shows the daily production of cell phones. 7, 10, 12, 15, 18, 19, 20. Mean The formula for finding the mean is: mean = (sum of observations) / (number of observations).

Therefore, the mean for the daily production of cell phones is: Mean = (7+10+12+15+18+19+20) / 7

= 101 / 7

Mean = 14.43

Variance The formula for finding the variance is: Variance = (sum of the squares of the deviations) / (number of observations - 1) Where the deviation of each observation from the mean is: deviation = observation - mean First, calculate the deviation for each observation:7 - 14.43

= -7.4310 - 14.43

= -4.4312 - 14.43

= -2.4315 - 14.43

= 0.5718 - 14.43

= 3.5719 - 14.43

= 4.5720 - 14.43

= 5.57

Now, square each of these deviations: 56.25, 19.62, 5.91, 0.33, 12.75, 20.9, 30.96 The sum of these squares of deviations is: 56.25 + 19.62 + 5.91 + 0.33 + 12.75 + 20.9 + 30.96

= 147.72

Therefore, the variance for the daily production of cell phones is: Variance = 147.72 / (7-1) = 24.62 Standard deviation ) Mean = 14.43b) Variance per Day = 24.62c) Standard Deviation = 4.96

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Answer:

0 < x < 9

Step-by-step explanation:

Mary's age = x

Twice of Mary's age = 2x

Emily's age = (2x + 3) (we are told Emily is 3 years older than twice of Mary's age)

Given that the sum of their ages is > 30, we have the following expression:

\( (2x + 3) + x \) > 30

Let's simply:

\( 2x + 3 + x \) > 30

\( 3x + 3 \) > 30

Subtract 3 from both sides

\( 3x + 3 - 3 \) > \( 30 - 3 \)

\( 3x \) > \( 27 \)

Divide both sides by 3

\( \frac{3x}{3} \) > \( \frac{27}{3} \)

\( x \) > \( 9 \)

Therefore, the inequality that represents Mary's possible age is: 0 < x < 9

Answer:

in cubic units, of 4 identical boxes with each side equal to s units: V = 4s3 If s = 2.5 units, what is the value of V? (5 points) 25 cubic units 30 cubic units 62.50 cubic units 156.25 cubic units

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

The scale is 1 in : 6 yd. the drawing was 5 inches. Multiply the drawing measurement (5) times the yards cause that’s the measurement you want and you get 30 yards.

Answer:

quadratic monomial, quadratic trinomial, constant monomial, linear monomial, quadratic binomial, linear binomial.

Step-by-step explanation:

two quadratic trinomials each have a degree-2, degree-1, and degree-0 term. It is possible that the coefficients of all or some of the terms cancel each other while adding or subtracting the polynomials.

Answer:

Here is the answer. Hope this helps Sorry it's blurry but you have to click on it and you will see the answer

Step-by-step explanation:

Answer:

I believe that x = 5

Step-by-step explanation:

If we denote the probability of hitting a bullseye on a dartboard with radius 12 inches as a function of the size of the bullseye, we can refer to this function as PS.

The function PS represents the probability of hitting the bullseye and is dependent on the size of the bullseye. The larger the bullseye, the higher the probability of hitting it, and vice versa. By adjusting the size of the bullseye, we can determine the corresponding probability of hitting it using the function PS.

It's important to note that without specific information about the relationship between the bullseye size and the probability, it's not possible to provide a specific mathematical expression or further details about the PS function. The function would need to be defined or provided to calculate the probability accurately.

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The equation of the plane passing P (1,2,1) and orthogonal to the two planes: x-y-z-10 = 0, x-2y + z-2=0 is -3x-2y-z+8=0.

The equation of the plane will be in the form,

A(x-1)+B(y-2)+C(z-1)=0

It is also given that the plane is perpendicular to give 2 planes.

So, their normal to the plane would be perpendicular to the normal of both planes.

So, the required normal is a cross-product of the normals of planes

x-y-z-10=0 and x-2y+z-2=0

i.e,

-3i-2j-k=0

so, the direction ratios,

A=-3, B=-2, C=-1

putting the direction ratios in the previous equation of the plane,

-3(x-1)-2(y-2)-1(z-1)=0

-3x+3-2y+4-z+1=0

-3x-2y-z+8=0 is the required equation of the plane

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Find the equation of the plane passing P(1,2,1) and is orthogonal to the two planes: x-y-z-10 = 0, x-2y + z-2=0.

The width of the desk will be 38.4inches

A rectangle is a quadrilateral that has 4 sides and angles.

If a rectangular shaped desk has a length of 30 inches and a width of 24 inches and a desk with a similar shape has a length of 48 inches, the width of the desk will be calculated using this expression;

l/w = L/W

30/24 =48/W

Cross multiply

30W = 24 * 48

W = 38.4inches

Hence the width of the desk will be 38.4inches

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Answer: 14p +70

Step-by-step explanation:

Answer:

84p

Step-by-step explanation:

3+2=5 +7=12x7+84

Answer:

a 9 degrees

Step-by-step explanation:

so I'm not sure but if this is the right answer I think it's 9 so basically you do 14-5=9

In a normal distribution, x = 3 and z = 0.67. This tells us that x = 3 is 0.67 standard deviations to the right of the mean.

Here's why:

In a normal distribution, the z-score is the number of standard deviations from the mean.

The formula for converting a value to a z-score is:

z = (x - μ) / σ

where z is the z-score, x is the value, μ is the mean, and σ is the standard deviation.

In this case, we know that x = 3 and z = 0.67.

We don't know the mean or standard deviation, but we can use algebra to rearrange the formula and solve for them.

Here's how:

z = (x - μ) / σ

0.67 = (3 - μ) / σ

multiply both sides by σ:

0.67σ = 3 - μ

subtract 3 from both sides:-

-2.33 = -μ + σ

divide both sides by -1:-

2.33 = μ - σ

so the mean is 2.33 standard deviations to the left of the value x = 3.

Therefore, x = 3 is 0.67 standard deviations to the right of the mean.

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Yes , the integer k is divisible by 4 and statement (1) alone is sufficient to determine that k is divisible by 4.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

To determine if the integer k is divisible by 4, let's analyze the given statements:

Statement (1): 8k is divisible by 16.

This means that 8k is a multiple of 16. Since 16 is divisible by 4, we can conclude that k must be divisible by 4 as well. Therefore, statement (1) alone is sufficient to determine that k is divisible by 4.

8k = 16

k = 2

b)

This statement does not provide direct information about the divisibility of k by 4. While 12 is divisible by 4, the fact that 9k is divisible by 12 does not guarantee that k itself is divisible by 4.

9k = 12

k = 12/9

k = 4/3

So , it is not an integer

In conclusion, statement (1) alone is sufficient to determine that k is divisible by 4. Statement (2) is not sufficient on its own.

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Answer:

It should be 4 or (0,4)

Step-by-step explanation:

The y-intercept is just where one of the lines of the graph crosses the y-axis, which in the picture shows it crosses at (0,4)

Let's simplify the expression step by step: Expand the squared term:

(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²

Expand the second term:

3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)

Expand the third term:

x(3x + 4y + 3) = 3x² + 4xy + 3x

Now, let's combine all the expanded terms:

(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)

= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x

Combining like terms:

= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x

= 7x² - 5xy + 5y² + 3x

The simplified form of the expression is 7x² - 5xy + 5y² + 3x.

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the Area will be 280 inch².

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The base of triangle = 20inch

The height of triangle  = 14inch

Area is = (base * height) =  (20*14)

Area = 280 inch²

Hence the Area will be 280inch²

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The third root of f(x) is x = 4, and it must also be a root of the polynomial.

Since 0 and 4 are already roots of f(x), we can write the factors of the polynomial as (x - 0) and (x - 4).

Multiplying these factors gives us f(x) = x(x - 4).

To find the third root, we set f(x) = 0 and solve for x.

Substituting f(x) = x(x - 4) = 0, we see that either x = 0 or x - 4 = 0.

The second equation gives us x = 4.

Therefore, the third root of f(x) is x = 4, and it must also be a root of the polynomial.

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Answer:

the answer is c

Step-by-step explanation: i got the question right and got 100%

Answer:

y=4x²- 16x +26

Step-by-step explanation:

4(x-2)² +10= 4(x²-4x+4) +10=4x²-16x+16 +10

:.y=4x²-16x+26

Answer:

y=4x^2 - 16x +26

Step-by-step explanation:

step 1 :

evaluate (x-2)^2 = that has the form of ( a- b) ^2

a^2 - 2ab + b^2

so ( x- 2)^2 = x^2- 4x + 4

step 2 :

multiple the 4 to the equation that you just evaluated

4( x^2 - 4x + 4) = 4x^2 - 16x + 16

step 3

take the new equation +10

4x^2 -16x +16 +10

Heyyy friend.!!!! Hope it helps uh....

Answer:

3/4 cups of Chocolate chips is needed

Step-by-step explanation:

Sara was making a cookies and she needs ½ cup of Chocolate chips and 2/3 cup of sugar. She accidently put in 1 cup of sugar. How many cups chocolate chips does she need now?

From the above question:

2/3 cup of sugar = ½ cup of Chocolate chips

1 cup of sugar = x

Cross Multiply

2/3 cup of sugar × x = ½ cup of Chocolate chips × 1 cup of sugar

x = ½ cup of Chocolate chips × 1 cup of sugar/ 2/3 cup of sugar

x = 1/2 ÷ 2/3

x = 1/2 × 3/2

x = 3/4 cups of Chocolate chips

Therefore, for 1 cup of sugar , 3/4 cups of Chocolate chips is needed