What is the greatest common factor of 24 and 46?

Answer:

58.1 and 17

Step-by-step explanation:

For the first triangles the similarity ratio is 1:7 so x is 8.3 × 7 = 58.1

For the second triangles the similarity ratio is 1:5 so x is 3.4 × 5 = 17

Answer:

1/5k-2/3j and -2/3j+1/5k

Step-by-step explanation:

This is because the sign of both of the terms stay the same and the fractions and variables stay the same for each term as well.

Answer:

The answer's A 1/52

Step-by-step explanation:

That's because there's only one ace of hearts in a deck of 52 cards.

Answer: A) 1/52

Step-by-step explanation:

There is 52 cards in a whole deck, and the probability of getting that ace card is 1/52 because there is only 1 ace card in an entire deck of cards.

Hence, the answer is 1/52

Answer:

  3 square units

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic.

  A = 12(1/2)² = 12(1/4) = 3 . . . square units

__

Comment on the working

It might be helpful to you to see how this works when the units of the number are attached to the number.

  A = 12(1/2 unit)² = 12(1/2 unit)(1/2 unit) = 12(1/2)(1/2)(unit)(unit) = 3 unit²

I often choose to keep the units with the numbers, just to make sure that the numbers and units are correct. For example, you can multiply inches by feet, but you get in·ft, which is not square inches and not square feet. You have to do a conversion to get the result in square units.

Answer:

15 8 ounce containers and 52 6 ounce containers

Step-by-step explanation:

First figure out how much soup must be in the 50 small containers

50 * 6 = 300

Subtract that from the total amount of soup

432 - 300 = 132

We have to put 132 ounces of soup into 6 ounce and 8 ounce containers

Let x be the number of 6 ounce and y be the number of 8 ounce containers

6x+8y = 132

x+y = minimum

We want to use as many 8 ounce containers as possible

132/8 = 16.5

16*8 = 128 r4  we cannot use 16 because we do not have a 4ounce container

15*8 = 120  r12  12/6 =2  we can do this because we can use 2 6 ounce containers

We need 15 8 ounce containers and 2 6 ounce for the 132 ounces left

We have 50 for the 300 ounces

For a total of

15 8 ounce containers and 52 6 ounce containers

Answer:

a) P(1) = 0.1637

b) [tex]P(x\geq 2) = 0.0176[/tex]

c) E(x) = 0.2

Step-by-step explanation:

If X follows a poisson distribution, the probability that a disk has exactly x missing pulses is:

[tex]P(x)=\frac{e^{-m}*m^x}{x!}[/tex]

Where m is the mean and it is equal to the value of lambda. So, replacing the value of m by 0.2, we get that the probability that a disk has exactly one missing pulse is equal to:

[tex]P(1)=\frac{e^{-0.2}*0.2^1}{1!}=0.1637[/tex]

Additionally, the probability that a disk has at least two missing pulses can be calculated as:

[tex]P(x\geq 2)=1-P(x<2)[/tex]

Where [tex]P(x<2)=P(0)+P(1)[/tex].

Then, [tex]P(0)[/tex] and [tex]P(x\geq 2)[/tex] are calculated as:

[tex]P(0)=\frac{e^{-0.2}*0.2^0}{0!}=0.8187\\P(x\geq 2) = 1 - (0.8187 + 0.1637)\\P(x\geq 2) = 0.0176[/tex]

Finally, In the poisson distribution, E(x) is equal to lambda. So E(x) = 0.2

Answer:

first term = -2

fourth term = -16

eighth term = -256

Step-by-step explanation:

Given;

A sequence with function;

A(n) = -2x2^(n-1)

The first, fourth, and eighth terms of the sequence can be calculated by substituting their corresponding values of n;

First term A(1); n = 1

A(1) = -2x2^(1-1) = -2×1 = -2

Fourth term A(4); n = 4

A(4) = -2x2^(4-1) = -2×8 = -16

Eighth term A(8); n = 8

A(8) = -2x2^(8-1) = -2×128 = -256

Therefore,

first term = -2

fourth term = -16

eighth term = -256

Answer:

Yes, it's also true about the confidence interval method.

Step-by-step explanation:

The confidence interval includes all the null hypothesis values for the population mean that would be accepted by the hypothesis test at the significance level of 5%. Now, it means this assumes a two-sided alternative.

Now, when testing claims about

population​ proportions, the critical method and the​ P-value method are equivalent due to the fact that they always produce the same result. Similarly, a conclusion based on a confidence interval estimate will be the same as a conclusion based on a hypothesis test.

So, Yes the confidence interval method and the​ P-value or critical methods will always lead to the same conclusion when the tested parameter is the standard deviation.

Answer:

  (2/5)√5 ≈ 0.894427

Step-by-step explanation:

You require the y-coordinate of the point that satisfies two equations:

  x^2 +y^2 = 1

  y = 2x

Substituting for x, we have ...

  (y/2)^2 +y^2 = 1

  y^2(5/4) = 1

  y^2 = 4/5

  y = (2/5)√5 ≈ 0.894427

The sine of the angle is (2/5)√5 ≈ 0.894427.

Answer:

The answer would be C.

Step-by-step explanation:

Answer:

Slope: 1

y-intercept: 8

Step-by-step explanation:

x, y

-8,0

0,8

Answer:

Step-by-step explanation:

This is a combination question. Combination has to do with selection. For example if r objects are to be selected from n pool of oblects, this can be done in nCr number of ways.

nCr = n!/(n-r)r!

According to the question, if a radio show can only play 10 records out of 12 records available, this can be done in 12C10 number of ways.

12C10 = 12!/(12-10)!10!

= 12!/2!10!

= 12*11*10!/2*10!

= 12*11/2

= 6*11

= 66 different ways

Answer:

The sample size required is, n = 502.

Step-by-step explanation:

The (1 - α)% confidence interval for population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p\cdot (1-\hat p)}{n}}[/tex]

The margin of error is:

[tex]MOE=z_{\alpha/2}\sqrt{\frac{\hat p\ \cdot (1-\hat p)}{n}}[/tex]

Assume that 50% of the people would support this political candidate.

The margin of error is, MOE = 0.05.

The critical value of z for 97.5% confidence level is:

z = 2.24

Compute the sample size as follows:

[tex]MOE=z_{\alpha/2}\sqrt{\frac{\hat p\ \cdot (1-\hat p)}{n}}[/tex]

       [tex]n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}[/tex]

           [tex]=[\frac{2.24\times \sqrt{0.50(1-0.50)}}{0.05}]^{2}\\\\=501.76\\\\\approx 502[/tex]

Thus, the sample size required is, n = 502.

Answer:

Length = 45 m

Width = 185 m

Step-by-step explanation:

Given:

Perimeter of rectangular rug = 460 m

width of the rug is five meters more than 4 times the length

To find:

Width and length of rug = ?

Solution:

Let the length = [tex]l[/tex] m

As per given statement,

Width = [tex]4l+5[/tex] m

Formula for perimeter of a rectangle = [tex]2\times (Length +Width)[/tex]

[tex]460=2\times (l+4l+5)\\\Rightarrow 230 = 5l+5\\\Rightarrow l = \dfrac{225}{5} = 45\ m[/tex]

Width = [tex]4l+5[/tex] m

Width = [tex]4\times 45+5 = 185\ m[/tex]

So, the answer is:

Length = 45 m

Width = 185 m

Answer:

C

Step-by-step explanation:

(3,15) and (4,12)

Answer:

C or (3, 15) and (4, 12)

Step-by-step explanation:

I just took the test on Edge 2020

Answer:

  24.84 billion

Step-by-step explanation:

Put 4 where x is in the equation and do the arithmetic. It can be easier if a little factoring is done first.

  y = (-0.71x +2.8)(x^3) +27.4

  y = (-0.71(4) +2.8)(64) +27.4

  y = 24.84

The formula predicts about 24.84 billion virus particles after 4 days.

Answer:

20 Lizard lollies.

Step-by-step explanation:

There are 10 lizard lollis.  This is out of 10+4+6 = 20 total treats.  This makes the probability of drawing a lizard lollis 10/20 = 1/2.

This means out of 40 treats handed out, we can expect him to give out 1/2(40) = 20 lizard lollis.

Answer:

Solve for y in the first equation.

Step-by-step explanation:

Given

3x+y=9

15x-3y = 1

Required

Determine the first step to avoid fractions

From the list of given options, the option that best answered the question is to Solve for y in the first equation.

Solving for y will let you substitute the expression for y in the second equation

Going by that:- Solve for y in the first equation.

[tex]3x + y = 9[/tex]

Subtract 3x from both sides

[tex]3x - 3x + y = 9 - 3x[/tex]

[tex]y = 9 - 3x[/tex]

Substitute 9 - 3x for y in the second equation

[tex]15x - 3y = 1[/tex] becomes

[tex]15x - 3(9 - 3x) = 1[/tex]

[tex]15x - 27 + 9x = 1[/tex]

Collect like terms

[tex]15x + 9x = 1 + 27[/tex]

[tex]24x = 28[/tex]

Divide both sides by 24

[tex]\frac{24x}{24} = \frac{28}{24}[/tex]

[tex]x = \frac{28}{24}[/tex]

Divide numerator and denominator by 4

[tex]x = \frac{7}{6}[/tex]

Substitute 7/6 for x in the [tex]y = 9 - 3x[/tex]

[tex]y = 9 - 3 * \frac{7}{6}[/tex]

[tex]y = 9 - \frac{7}{2}[/tex]

Solve fraction

[tex]y = \frac{18-7}{2}[/tex]

[tex]y = \frac{11}{2}[/tex]

Answer:

It's B (the one above is right)

Step-by-step explanation:

Answer:

  D.  65°

Step-by-step explanation:

The measure of the angle at crossed chords is the average of the measures of the intercepted arcs:

  m∠XYZ = (1/2)(arc XZ +arc WV)

  m∠XYZ = (1/2)(86° +44°) = 130°/2

  m∠XYZ = 65°

Answer:

Step-by-step explanation:

[tex] - \frac{4}{9} + \frac{7}{12} + ( - \frac{ 3}{8} )[/tex]

When there is a (+) in front of an expression in parentheses, the expression remains the same:

[tex] - \frac{4}{9} + \frac{7}{12} - \frac{3}{8} [/tex]

[tex] \frac{ - 4 \times 8 + 7 \times 6 - 3 \times 9}{72} [/tex]

Calculate the sum of difference

[tex] \frac{ - 32 + 42 - 27}{72} [/tex]

[tex] \frac{10 - 27}{72} [/tex]

[tex] - \frac{17}{72} [/tex]

Hope this helps..

Good luck on your assignment...

Hey there! :)

Answer:

y = 5/7x + 2.

Step-by-step explanation:

We can use the slope formula to determine the slope of the line of best fit:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Plug in two points on the line:

[tex]m= \frac{7 - 2}{7 - 0}[/tex]

Simplify:

m = 5/7.

The b value, or y-intercept is at (0, 2). Therefore, this equation in slope-intercept form would be:

y = 5/7x + 2.

The correct choice contains the formula y = 5/7x + 2.

Answer:

200√3

Step-by-step explanation:

The triangle given here is a special right triangle, one with angles measuring 30-60-90 degrees. The rule for triangles like these are that the side opposite the 30° angle can be considered x, and the side opposite the 60° angle is x√3, while the hypotenuse, or side opposite the right angle, is 2x. All we need to know here are the two legs to find the area.

Since b is opposite the 30° angle, it is x, while side RS is opposite the 60° angle, meaning it is equal to x√3, meaning that the area of the triangle is 1/2*x*x√3. We can substitute in 20 for x, making our area 1/2*20*20√3. Multiplying we get 10*20√3, or 200√3.

Answer:

help me in chemistry please please

Answer:

A. In 2 seconds, the space station travels 10 miles.

Step-by-step explanation: well you’d look at the x-coordinate 2, bottom row then count 2 to the right, you’d go up until the lines intersect and you’d be at 10 miles.. so yea that’s how i did it..

Answer:

Step-by-step explanation:

For a geometric sequence

U(n) = ar^n - 1

Where

n is the number of terms

r is the common ratio

a is the first term

From the sequence

a = 2

r = - 6 /2 = -3

U(n) = 2(-3) ^ n - 1

For the 7th term

U(7) = 2(-3) ^ 7 - 1

= 2(-3)^6

The final answer is

= 1458

Hope this helps you

Answer:

AB = 8.39 inches

AC = 13.1 inches

(corrected to 3 significant figures.)

Step-by-step explanation:

In a right triangle, AB is the opposite side; BC is the adjacent side, and AC is the hypotenuse side.

since tanθ = opposite / adjacent,

we can use this to find side AB.

tan40° = AB / 10

AB = 8.39 in. (corrected to 3 significant figures.)

since cosθ = adjacent / hypotenuse

we can use this to find AC.

cos40° = 10 / AC

AC = 13.1 in. (corrected to 3 significant figures.)

Answer:

AB= 8.4

AC= 13.1

Step-by-step explanation:

Answer:

Short answer: D) 15

Step-by-step explanation:

Parallel lines in this kind of triangle are always in a strict ratio of small to large or large to small based on how you look at it.

So we have 4cm to 6cm, which is 2:3 ratio. We know the smaller side, but want the larger side, so we can set up 2/3 = 10/?

the ? is 15.

Answer:

[tex]\frac{dy}{dx}[/tex] = - 21[tex]x^{6}[/tex] + 6x² + 1

Step-by-step explanation:

Differentiate each term using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

Given

y = - 3[tex]x^{7}[/tex] + 2x³ + x , then

[tex]\frac{dy}{dx}[/tex] = (7 × - 3 )[tex]x^{6}[/tex] + (3 × 2)x² + (1 × 1 )[tex]x^{0}[/tex]

    = - 21[tex]x^{6}[/tex] + 6x² + 1

The first ordered pair is   ( -4 , -3 )

The second ordered pair is   ( 8, 3 )

=================================================

Explanation:

The first point is (x,-3) where x is unknown. It pairs up with y = -3 so we can use algebra to find x

x-2y = 2

x-2(-3) = 2 ... replace every y with -3; isolate x

x+6 = 2

x = 2-6

x = -4

The first point is (-4, -3)

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

We'll do something similar for the other point. This time we know x but don't know y. Plug x = 8 into the equation and solve for y

x-2y = 2

8-2y = 2

-2y = 2-8

-2y = -6

y = -6/(-2)

y = 3

The second point is (8, 3)

Answer:

20

Step-by-step explanation:

224÷4 = 56+40 = 96÷2 = 48+12 = 60÷3 = 20

If Ronnie goes to the racetrack with his buddies on a weekly basis. How much did he start with the first week is $20.

Hence:

4 [2 (3x - 12) -40] = 224

4 [6x - 24 - 40] = 224

Collect like term

24x - 256= 224

24x/24 = 480/24

Divide both side by 24

x=480/24

x=$20

Therefore How much did he start with the first week is $20.

Learn more about How much did he start with here:https://brainly.com/question/25870256

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Answer:

x =23/11, y =4/11

Step-by-step explanation:

subtract equation 1 from equation 2

2x-x + 5y-(-3) =6-1

x + 8y = 5

make x the subject of formula

x = 5-8y(equation#)

substitute x = 5-8y in equation 1

5-8y-3y = 1

5-11y = 1

collect like terms

5-1 = 11y

4= 11y

divide both sides by 11

4/11 = 11y/11

y = 4/11

put y = 4/11 in equation #

x = 5-8(4/11)

x = 5-32/11

LCM= 11

x = 55-32/11

x = 23/11

so, x =23/11, y = 4/11