If 8 minus some number divided by 3 = 6 what is the number?

Solution :

A logical expression may be defined as those equation or expression which is either viable or inviable.

In the context, translating each statement into a logical expression using the predicates, the quantifiers, and the logical connectives.

Let P(x) be the propositional function "x is perfect"

Let F(x) be the propositional function "x is your friend"

And the domain is all the people

a). No one is perfect

     [tex]$\forall \ x \rightharpoondown P(x)$[/tex]

b). Not everyone is perfect.

     [tex]$\rightharpoondown \forall \ x\ P(x)$[/tex]

c). All your friends are perfect.

    [tex]$\forall \ x (F(x)\rightarrow P(x))$[/tex]

d). At least one of your friends is perfect.

   [tex]$\exists \ x \ (F(x) \wedge P(x))$[/tex]

e) Everyone is your friend and is perfect.

    [tex]$\forall \ x \ F(x) \wedge \ \forall \ x \ P(x)$[/tex]

f). Not everybody is your friend or someone is not perfect.

    [tex]$(\rightharpoondown \ \forall \ x \ F(x) ) \ \wedge (\exists \ x \ \rightharpoondown \ A (x))$[/tex]

Answer:

[tex]x=-9[/tex]

Step-by-step explanation:

[tex]36^{x-3}=1296^{x+3}\\(6^2)^{x-3}=(6^4)^{x+3}\\2(x-3)=4(x+3)\\x-3=2x+6\\x+6=-3\\x=-9[/tex]

Answer:

33

Step-by-step explanation:

if you set it as an equation equal to 180 its easier to tackle

Answer:

0.9173 = 91.73% probability that the average duration of unemployment was between 30 and 37 weeks.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 34.6, standard deviation of 10.2

This means that [tex]\mu = 34.6, \sigma = 10.2[/tex]

Sample of 36

This means that [tex]n = 36, s = \frac{10.2}{\sqrt{36}} = 1.7[/tex]

What is the probability that the average duration of unemployment was between 30 and 37 weeks?

This is the pvalue of Z when X = 37 subtracted by the pvalue of Z when X = 30.

X = 37

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{37 - 34.6}{1.7}[/tex]

[tex]Z = 1.41[/tex]

[tex]Z = 1.41[/tex] has a pvalue of 0.9207

X = 30

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{30 - 34.6}{1.7}[/tex]

[tex]Z = -2.71[/tex]

[tex]Z = -2.71[/tex] has a pvalue of 0.0034

0.9207 - 0.0034 = 0.9173

0.9173 = 91.73% probability that the average duration of unemployment was between 30 and 37 weeks.

Answer:

5

Step-by-step explanation:

Slope = (-3 - 2) / (1 - 2) = -5 / -1 = 5

Hi there!

[tex]\large\boxed{\text{slope =} 6}[/tex]

We can calculate slope using the following formula:

[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Plug in the corresponding points:

[tex]slope = \frac{-9-(-3)}{2-1}[/tex]

Simplify:

[tex]slope = \frac{-6}{1} = -6[/tex]

9514 1404 393

Answer:

  a.  -4

Step-by-step explanation:

When using the "diamond method" for factoring quadratics, the bottom number is the coefficient of the linear term. In this quadratic, it is -4.

The bottom number is -4.

Answer:

angle A = 130°

x=65°

I hope it's helps you

Answer:

(2x - 30°) + 50° = 180° (linear pair angles)

2x + 20° = 180°

2x = 180° - 20°

2x = 160°

x = 160°/2 = 80°

Now, A = 2x - 30° = 160°-30° = 130°

Answer:

Step-by-step explanation:

Standard equation of a circle is given by,

(x - h)² + (y - k)² = r²

Here, (h, k) is the center of the circle.

From the graph given in the picture,

Center of the circle → (-1, 1)

Radius of the circle = 3 units

Therefore, standard equation of the circle will be,

(x + 1)² + (y - 1)² = 3²

(x + 1)² + (y - 1)² = 9

General equation of the circle is the expanded form of the standard equation.

x² + 2x + 1 + y² + 1 - 2y = 9

x² + y² + 2x - 2y + 2 = 9

x² + y² + 2x - 2y - 7 = 0

Therefore, general equation of the given circle is,

x² + y² + 2x - 2y - 7 = 0

Answer:

1436.8 in³

Step-by-step explanation:

Volume of sphere = (4/3)πr³

r = 7

---> (4/3)π(7)³ = 1436.8 in³

Have a great day :)

Answer:

The volume of the sphere is A.

Answer:

im sure its c

Step-by-step explanation:

:)

Answer:

Alia has 11 jelly beans.

Step-by-step explanation:

4^2= 163^3= 2727-16=11

Answer:

you are incorrect =

Step-by-step explanation:

1 mile = 63360inches=72 =63432inches=5286ft

Answer:

(-3/8)/(-1/3)

=(-3/8) x (-3)

=9/8

=11/8

Step-by-step explanation:

Answer:  Jenny was faster by 116.17

Step-by-step explanation: Jenny: 809.03 meters a minute

Johnny: 692.86 meters a minute

Answer:

A,b I’m pretty sure

Step-by-step explanation:

Answer:

B.

[tex] \frac{5}{8} [/tex]

Answer:

(-9) + 9 = 0

The integer that should be added is nine

Step-by-step explanation:

when you have a negative integer and you added it by itself but it's a positive instead of a negative the positive takes over the negatives and makes it zero. I hope that made sense

Answer:

the answer is D The triangles are similar so the ratios of their vertical heights to their horizontal lengths are equivalent.

Step-by-step explanation:

The triangles are similar so the ratios of their vertical heights to their horizontal lengths are equivalent. Therefore, option D is the correct answer.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

We know that, slope = Rise/Run.

Here, slope of a line AB = 3/6

= 1/2

Now, slope of a line BC = 2/4

= 1/2

Therefore, option D is the correct answer.

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Answer:

94.99

Step-by-step explanation:

Hi,

The formula to find the area of a circle is: A = πr²

So...

A = 3.14 (r)²

The radius of the circle is 5.5 because half of the diameter is the radius.

A = 3.14 (5.5)²

A = 3.14 (30.25)

A = 94.985 rounded is 94.99

I hope this helps :)

Answer: Neither

Step-by-step explanation:

Answer:

The required confidence inteval = 94.9%.

Step-by-step explanation:

Confidence interval: Mean ± Margin of error

Given: A confidence interval for the true mean diameter of all oak trees in the neighbourhood is calculated to be (36.191, 42.969).

i.e.  Mean + Margin of error = 42.969               (i)

Mean - Margin of error = 36.191                    (ii)

Adding (i) and (ii), we get

[tex]2Mean =79.16\\\\\Rightarrow\ Mean= 39.58[/tex]

Margin of error = 42.969-39.58             [from (i)]

= 3.389

Margin of error = [tex]t^* \dfrac{\sigma}{\sqrt{n}}[/tex]

here n= 25 [tex], \ \sigma=8.25[/tex]

i.e.

[tex]3.389=t^*\dfrac{8.25}{5}\\\\\Rightarrow\ t^* = \dfrac{3.389}{1.65}\\\\\Rightarrow\ t^* =2.0539 \[/tex]

Using  excel function 1-TDIST.2T(2.054,24)

The required confidence inteval = 94.9%.

Answer:

(b). 3.5

(c). 28 cubes

Step-by-step explanation:

Answer:

180km

Step-by-step explanation:

1hour48mins =108mins

108÷18=6

6×30=180km

Answer:

there is no picture so we can't solve it

Answer:

i think D is the answer : the distribution is skewed to the right

Answer:

I support option D in this question

Short answer (I write nPr = P(n, r) and nCr = C(n, r) ):

P (6, 4) = 6! / (6 - 4)! = 6! / 2! = 720 / 2 = 360

C (6, 4) = P (6, 4) / 4! = 6! / (4! (6 - 4)!) = 360 / 24 = 15

Long answer:

P(n, r) counts the number of permutations of n objects taken r at a time, given by

P(n, r) = n ! / (n - r )!

A permutation is a unique arrangement of objects such that the order in which they are arranged is taken into account. For example, if the objects in question are the numbers in the set {1, 2, 3}, then

• there are 3! = 6 total possible permutations if we take all 3 numbers at once:

123, 132, 213, 231, 312, 321

• there are 3!/(3-2)! = 3!/1! = 6 total permutations if we only take 2 numbers at once:

12, 13, 21, 23, 31, 32

• there are 3!/(3-1)! = 3!/2! = 3 total permutations if we take only 1 number at a time:

1, 2, 3

• and there is 3!/(3-0)! = 3!/3! = 1 way of permuting the 3 numbers without taking any of them:

(the permutation itself is just empty space)

By contrast, C(n, r) counts the combinations of n items taken r at a time, given by

C(n, r) = P(n, r) / r !

A combination is like a permutation, but the order of the objects doesn't matter. Continuing with the previous example of arrangements of the numbers from {1, 2, 3}, we have

• 3! / (3! (3-3)!) = 1 combination taking all 3 numbers at once:

123

(the other 5 permutations listed earlier are made up of the same numbers, so we consider them duplicates)

• 3! / (2! (3-2)!) = 3 combinations taking only 2 numbers at once:

12, 13, 23

• 3! / (1! (3-1)!) = 3 combinations taking only 1 number:

1, 2, 3

• 3! / (0! (3-0)!) = 1 combination taking none of them:

(again, empty space)

The main point is that the order of objects is considered across permutations, while it's ignored across combinations.

Step-by-step explanation:

shown in the photo I have provided

The graph of the given function f (x) = sin (πx/2) is attached below.

Function is a type of relation, or rule, that maps one input to specific single output.

If we plugged in x = 0, then we get

f (x) = sin (πx/2)

Therefore, this sine curve goes through the origin. The point is on the midline y = 0, the x axis.

We need either a minimum or maximum point. the expression f (x) is the same as . We will divide 2π over the coefficient of π/2 to get

The plot of the the maximum or minimum point closest to the first point is plotted in the graph.

Learn more about function here:

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