Which of the following are always true in a logical system? Check all that
apply.
A. Theorems
B.Corollaries
C.Postulates
D. Conditional statements

Answer:

h=7.65

Step-by-step explanation:

h=k√p

k=h/√p

k=5.4/√1.44

k=4.5

h=4.5√p

when p=2.89

h=4.5√2.89

h=7.65

Answer:

H = 7.65

I hope it helps

[tex]h \: = \sqrt{p} \\ h \: = k \sqrt{p} .....(1) \\ when \: h \: = 5.4 \: p = 1.44 \\ 5.4 = k \: \sqrt{1.44} [/tex]

[tex]5.4 = 1.2k \\ divide \: both \: sides \: by \: 1.2 \\ k \: = 4.5[/tex]

[tex]h \: = 4.5 \sqrt{p} = \: formula \: connecting \: h \: and \: p \\ from \: equation \: .....(1) \\ when \: p \: = 2.89 \: h = \\ when \: p \: = 2.89 \: h \: = \\ h \: = 4.5 \sqrt{2.89} \\ h = [/tex]

[tex]h \: = 4.5 \sqrt{2.89} \\ h = 4.5 \times 1.7 \\ h \: = 7.65[/tex]

Answer:

a. Binomial random variable (n=4, p=0.25)

b. Attached.

c. X=1

Step-by-step explanation:

This can be modeled as a binomial random variable, with parameters n=4 (size of the sample) and p=0.25 (proportion of homeowners that are insured against earthquake damage).

a. The probability that X=k homeowners, from the sample of 4, have eartquake insurance is:

[tex]P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{4}{k} 0.25^{0}\cdot0.75^{4}[/tex]

The sample space for X is {0,1,2,3,4}

The associated probabilties are:

[tex]P(x=0) = \dbinom{4}{0} p^{0}(1-p)^{4}=1*1*0.3164=0.3164\\\\\\P(x=1) = \dbinom{4}{1} p^{1}(1-p)^{3}=4*0.25*0.4219=0.4219\\\\\\P(x=2) = \dbinom{4}{2} p^{2}(1-p)^{2}=6*0.0625*0.5625=0.2109\\\\\\P(x=3) = \dbinom{4}{3} p^{3}(1-p)^{1}=4*0.0156*0.75=0.0469\\\\\\P(x=4) = \dbinom{4}{4} p^{4}(1-p)^{0}=1*0.0039*1=0.0039\\\\\\[/tex]

b. The histogram is attached.

c. The most likely value for X is the expected value for X (E(X)).

Is calculated as:

[tex]E(X)=np=4\cdot0.25=1[/tex]

Answer:

option B, and D

Step-by-step explanation:

coz when u multiply 2/3 by 2/2, u wud get 4/6,

and when u divide 8/12 by 2/2, u wud agn get 4/6

Answer: 2/3 and 8/12

Step-by-step explanation: When we multiply or divide the numerator and denominator of a fraction by the same number, we get an equivalent fraction.

First write 4/6 in lowest terms by dividing both the numerator and the denominator by 2 to get the equivalent fraction 2/3.

Starting at 4/6 again, if we multiply the numerator and the denominator by 2, we get the equivalent fraction 8/12.

So our two equivalent fractions are 2/3 and 8/12.

It's important to remember the following rule: Whatever you do to the numerator of a fraction, you must also do to the denominator because if you don't, you're changing the value of the fraction.

[tex]answers \\ a. \: \: 0 \\ b. \: \: \frac{ - 63}{8} \\ c. \: \: {c}^{3} - {5c}^{2} \\ d. \: \: {t}^{3} + 25t + {10t}^{2} \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

does NOT have right angles at the corners

Step-by-step explanation:

we are given that the sides of a table are 27" and 36" long.

If we assume the table to be rectangular, then by Pythagorean formula, we can find the diagonal and compare it to the 40" that we are given.

(refer to attached)

diagonal² = 27² + 36²

diagonal² = 27² + 36²

diagonal² = 2025

diagonal = √2025

diagonal = 45 inches

because the diagonal that we found is not the same as the 40" that was given, we can conclude that the table is not a rectangle (i.e does not have right angles at the corners)

Answer:

24.83 degrees.

Step-by-step explanation:

In the diagram, Bugs Bunny was initially at point A 42 meters below ground and dug diagonally 100 meters to point B.

We are to determine the angle of elevation, [tex]\angle BAX[/tex] of his climb.

Now, [tex]\angle BAX=\angle ABC$ (Alternate Angles)[/tex]

Using Trigonometric ratios

[tex]\sin B=\dfrac{AC}{AB} \\\sin B= \dfrac{42}{100}\\\\B=\arcsin \dfrac{42}{100}\\\\B=24.83^\circ[/tex]

The angle of elevation of Bugs Bunny's climb is 24.83 degrees. (correct to 2 decimal places).

Answer:

it depends on how many red marbles are there

Step-by-step explanation:

is there any green or orange or yellow?

Answer:1 over 3

Step-by-step explanation:

Answer:

B 54in

Step-by-step explanation:

Answer:

p(x)=19x+15

Step-by-step explanation:

Distribution property

- you should end up with p(x)=(25x-6x+15)(x)

- 25x minus 6x equals 19x

- form there you distribute the (x) and it will square 19x and multiply with 15

- end answer should be p(x)=19x²+15x

- simply by factoring the ² and 15x and you should get 19x+15

Answer:

A. p(x) = 19x - 15

Step-by-step explanation:

→Set it up, like so:

[tex](25x)-(6x+15)[/tex]

[tex]25x - 6x-15[/tex]

→Add like terms (25x and -6x):

[tex]19x - 15[/tex]

Answer:

3(20 - y - 3)

Explanation:

If you expand it:

3 · 20 = 30

3 · -y = -3y

3 · -3 = -9

Combine them altogether to get:

30 - 3y - 9

Answer:

  104 inches

Step-by-step explanation:

No window dimensions are given. We might assume that the shape of the window can be defined by these coordinates:

   (18,64), (28,40), (18,16), (8,40)

A graph of the points reveals the window to be a rhombus, so we can figure the length of one side to determine the lengths of all sides.

On edge of the window will have a length determined by the distance formula:

  d = √((x2 -x1)^2 +(y2 -y1)^2)

For (x1, y1) and (x2, y2) as (8, 40) and (18, 64), the edge length is ...

  d = √((18 -8)^2 +(64 -40)^2) = √(10^2 +24^2) = √676

  d = 26 . . . . . the length of one of the four edges

The total length of the four window edges is ...

  4 × 26 = 104

104 inches of tape are needed.

Answer:

20

Step-by-step explanation:

When we use Pythagorean Theorem we get x² + 21² = 29² which means x = 20.

Answer:

B: 20

Step-by-step explanation:

By the pythagorean thereom, x^2+21^2=29^2. Solving gives X^2=29^2-21^2=400, so X=20.

Answer:

10.24 in

Step-by-step explanation:

Formula for volume of a sphere

= 4/3πr³

This sphere has a volume of

4,500cubic inches= 4500in³

The radius will be equall to

4/3πr³= 4500in³

r³ =( 4500 * 3)/(4π)

r³ = 1074.296

r = 3√1074 296

r = 10.24 in

Answer: 231.6

Step-by-step explanation:

Answer:

231.6 ft³

Step-by-step explanation:

volume of sphere:

V=[tex]\frac{4}{3} \pi r^{3}[/tex]

radius=4.8

plug in:

[tex]\frac{4}{3} \pi (4.8)^{3}[/tex]

463.246686328

Volume of Hemisphere HALF of Volume of Sphere:

[tex]\frac{463.246686328}{2}[/tex] =231.623343164

≈231.6 ft³

Answer:

work is shown and pictured

Answer: C-13 = -2   C = 11

Step-by-step explanation:

difference means subtraction.

the wording "is" implies the answer to the equation = -2

let C be a variable

C - 13 = -2

C = -2 + 13      solve for C by getting C by itself

C = 11

The word sentence as an equation will be as C - 13 = -2, then the solution is 11.

An equation is an expression that shows the relationship between two or more numbers and variables.

We have been given that  difference between a number c and 13 is −2.

Here the difference means subtraction.

Assume C be a variable;

C - 13 = -2

C = -2 + 13      

Now solve for C by getting C by itself;

C = 11

Therefore, the word sentence as an equation will be as C - 13 = -2, then the solution is 11.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

Answer:

The answer would be C the triangles are not similar

Step-by-step explanation:

Answer with Step-by-step explanation:

1. V= 17*24*32= 13056

2. V=Same as above

3. V= 50*24*22=26400

4. Add them up and total

V=  13056*2+26400

V= 52510 yds

Answer:

So the volume is 52,512‬ cubic yards or 52,512‬ yd³

Step-by-step explanation:

1. V = 17 × 24 × 32

   V = 13,056‬

2.  Exact same thing as 1 (13,056‬)

3. V = 50 × 24 × 22

   V = 26,400‬

4. 13,056‬ + 13,056‬ + 26,400‬ = 52,512

Hope that helped :)

Answer:

A.

Step-by-step explanation:

JLK = 360-154 (Circle is 360°)

So

JLK = 206

Answer:

v = 100ml

Step-by-step explanation:

0,25mg/kg

-----------> 0,25 * 80 = 20mg

50ml for every 10mg

'v"ml for 20mg

10 * v = 50 * 20

v = 100ml

Answer:

number 15 would be B sorry i dont understand number 14

Answer:

395.84

Step-by-step explanation:

The radius squared is nine. 9 times pi then 14, is 395.84

Answer:

145.2 + .3 = 145.5

145.2 - .3 = 144.9

C. 144.9 <= x <= 145.5

Step-by-step explanation:

exact form

5/2

decimal form

2.5

mixed number form

2 1/2

Answer:

The mean absolute deviation (MAD) of the dataset is 33.333.

Step-by-step explanation:

The mean absolute deviation (MAD) of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.

These are the steps to calculate the mean absolute deviation.

Step 1: Calculate the mean.

[tex]Mean = \frac{20+90+25+100+85+30}{6} =\frac{175}{3}\approx58.333[/tex]

Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations.

[tex]|20-\frac{175}{3} |=\frac{115}{3}\\\\|90-\frac{175}{3} |=\frac{95}{3}\\\\|25-\frac{175}{3} |=\frac{100}{3}\\\\|100-\frac{175}{3} |=\frac{125}{3}\\\\|85-\frac{175}{3} |=\frac{80}{3}\\\\|30-\frac{175}{3} |=\frac{85}{3}[/tex]

Step 3: Add those deviations together.

[tex]\frac{115}{3}+\frac{95}{3}+\frac{100}{3}+\frac{125}{3}+\frac{80}{3}+\frac{85}{3}=\frac{600}{3}=200[/tex]

Step 4: Divide the sum by the number of data points.

[tex]MAD=\frac{200}{6} =33.333[/tex]

Answer:

The margin of error for the confidence interval is of 0.25 minutes.

Step-by-step explanation:

With what we are given, the only thing that this question can be asked is the margin of error for the confidence interval of the mean duration of telephone calls directed by a local telephone company.

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.05 = 0.95[/tex], so [tex]z = 1.645[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Using what we are given:

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.645*\frac{3.6}{\sqrt{560}}[/tex]

[tex]M = 0.25[/tex]

The margin of error for the confidence interval is of 0.25 minutes.

Answer:

40ft

Step-by-step explanation:

The volume of a square pyramid is given by:

[tex]V=\frac{l^2h}{3}[/tex]

where V is the volume, l is the length of the square base, and h is the height.

Since we need to find the length, we solve for [tex]l[/tex] in the last equation:

[tex]l^2h=3V\\\\l^2=\frac{3V}{h} \\\\l=\sqrt{\frac{3V}{h} }[/tex]

and now, we substitute the known values:

[tex]V=19,200ft^3\\h=36ft[/tex]

and we get the following:

[tex]l=\sqrt{\frac{3(19,200ft^3)}{36ft} }\\ \\l=40ft[/tex]

the length of the square base is 40ft

Answer:

A test óf one variance

Step-by-step explanation:

A test of one variance. In this case, one will be testing against the hypothesized variance that was given.

Answer: [tex]16\pi \;cm^2[/tex]

Step-by-step explanation:

La longitud de una semicircunferencia es [tex]l=\pi r[/tex]

[tex]\pi r+2r=4(\pi+2)\\r(\pi+2)=4(\pi+2)\\r = 4\frac{\pi+2}{\pi+2} \\r=4[/tex]

[tex]A = \pi r^2 = \pi (4)^2=16\pi[/tex]

Answer:

x=0

Step-by-step explanation:

-4(2x+6) = -24

distribute the -4 to the parentheses

-8x-24 = -24

add the 24 over

-8x=0

divide both sides by -8

x=0