What is the measure of arc WXY

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:

145.2 + .3 = 145.5

145.2 - .3 = 144.9

C. 144.9 <= x <= 145.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

When we propose an hypothesis, it is either true or false. The same goes for a proposition.

The required objective here is to determine the truth value in the following proposition.

(a) The integer 24 is prime.

(b) Is the integer 3​15​ even?

(c) The sum of 3 and 4 is 12.

(d) -4 ∈ Ζ

From the first option:

(a) The integer 24 is prime.

The sentence is a proposition but the truth value is FALSE because a prime number is a number that can only be divide by 1 and itself but in the case of 24, Its factors include  1,2,3,4,6,8,12 and 24 which make 24 to falsify the proposition of being  a prime number.

(b) Is the integer 3​15​ even?

This option is not a proposition but rather a question since it has a question mark, however, 315 is an odd number since it is not divisible by 2.

( c)  The sum of 3 and 4 is 12.

This is a proposition and the truth value is FALSE

The sum of 3+4 = 7  ; Hence; 7 ≠ 12

(d)   -4 ∈ Ζ

This is a proposition and the truth value is TRUE.

-4 ∈ Ζ  is read as ( minus four is an integer  (∈)  of Z )

Yes, this is a proposition and its Truth value is TRUE , since  minus four is an integer  (∈)  of Z

Answer:

D

Step-by-step explanation:

You can plug in the given x and y values into the equations and see which one works for both of them.

D works for both of them:

5 = 5/4(4)

0 = 5/4(0)

Answer:

y=5/4x

Step-by-step explanation:

I just took the TSI2 and it says its correct

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:

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:

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:

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

exact form

5/2

decimal form

2.5

mixed number form

2 1/2

Answer:

The value that will create an equation with no solutions is 5x.

Step-by-step explanation:

No solution would mean that there is no answer to the equation. It is impossible for the equation to be  true no matter what value we assign to the variable.

To create a no solution equation, we can need to create a mathematical statement that is always false.  To do this, we need the variables on both sides of the equation to cancel each other out and have the remaining  values to not be equal.

Use distributive property on the left side first.

[tex]3(x - 4) = [blank] - 2x +7\\\\3x-12=5x - 2x +7\\\\3x-12=3x+7\\\\3x-12+12=3x+7+12\\\\3x=3x+19\\\\3x-3x=3x+19-3x\\\\0=19[/tex]

Notice that we combined like terms first and then eliminated the variable from one side. When that  happened, the variable on the other side was eliminated as well, giving us a false result.

Since zero does not equal nineteen, we know we have an equation with no solution.

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:

395.84

Step-by-step explanation:

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

Answer:

The answer would be C the triangles are not similar

Step-by-step explanation:

Answer:

a) A sample size of 5615 is needed.

b) 0.012

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

99.5% confidence level

So [tex]\alpha = 0.005[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.005}{2} = 0.9975[/tex], so [tex]Z = 2.81[/tex].

(a) Past studies suggest that this proportion will be about 0.2. Find the sample size needed if the margin of the error of the confidence interval is to be about 0.015.

This is n for which M = 0.015.

We have that [tex]\pi = 0.2[/tex]

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.015 = 2.81\sqrt{\frac{0.2*0.8}{n}}[/tex]

[tex]0.015\sqrt{n} = 2.81\sqrt{0.2*0.8}[/tex]

[tex]\sqrt{n} = \frac{2.81\sqrt{0.2*0.8}}{0.015}[/tex]

[tex](\sqrt{n})^{2} = (\frac{2.81\sqrt{0.2*0.8}}{0.015})^{2}[/tex]

[tex]n = 5615[/tex]

A sample size of 5615 is needed.

(b) Using the sample size above, when the sample is actually contacted, 12% of the sample say they are not satisfied. What is the margin of the error of the confidence interval?

Now [tex]\pi = 0.12, n = 5615[/tex].

We have to find M.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 2.81\sqrt{\frac{0.12*0.88}{5615}}[/tex]

[tex]M = 0.012[/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:

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:

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:

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:

  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: y=-4/3x+22/3

Step-by-step explanation:

the slope of a perpendicular line is the "negative reciprocal" of the slope of the original line

y=-4/3x+b

if you put in the x and y values

18=-4/3*-8+b

18-32/3=b

b=22/3

y=-4/3x+22/3

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:

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:

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 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:

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

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:

[tex]Area = 140[/tex]

Step-by-step explanation:

Given

R(6, 10)

Q(-9, 5)

S(2, -10)

Required

Area of triangle RQS

The are of RQS is calculated using the following formula;

[tex]Area = \frac{1}{2} [R_x(S_y - Q_y) + Q_x(R_y - S_y) + S_x(Q_y - R_y)][/tex]

Where x and y represent the axis of the given coordinates;

Given that R(6, 10);

[tex]R_x = 6 ; R_y = 10[/tex]

Given that Q(-9, 5);

[tex]Q_x = -9 ; Q_y = 5[/tex]

Given that S(2, -10);

[tex]S_x = 2 ; S_y = -10[/tex]

By Substituting these values in the given formula;

[tex]Area = \frac{1}{2} [R_x(S_y - Q_y) + Q_x(R_y - S_y) + S_x(Q_y - R_y)][/tex]

[tex]Area = \frac{1}{2} [6(-10 -5) + -9(10 - (-10)) + 2(5 - 10)][/tex]

[tex]Area = \frac{1}{2} [6(-15) + -9(10 + 10)) + 2(-5)][/tex]

[tex]Area = \frac{1}{2} [-90 + -9(20)) - 10][/tex]

[tex]Area = \frac{1}{2} [-90 -180 - 10][/tex]

[tex]Area = \frac{1}{2} [-280][/tex]

The expression |-280| means absolute value of -280 and the value is 280

[tex]Area = \frac{1}{2} [-280][/tex]

[tex]Area = \frac{1}{2}* 280[/tex]

[tex]Area = 140[/tex]

Hence, the area of the triangle is 140

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