What is the common ratio of the sequence? -2, 6, -18, 54,... A. −3 B. −2 C. 3 D. 8

Answer:

The odd in favor of drawing a red marble is 5:8

Step-by-step explanation:

Let’s calculate the probability of selecting a red marble

That would be;

number of red marbles/Total number of marbles

Total number of marbles = 2 + 5 + 6 = 13

So the probability of drawing a red marble is 5/13

The probability of not drawing a red marble = 1-5/13 = 8/13

So the odd in favor of drawing a red marble is 5:8

Answer:

2[tex]\sqrt{41}[/tex] units is the distance that Brenda is going to travel.

Step-by-step explanation:

Given that:

Brenda starts from point [tex](-4,5)[/tex] to [tex](5,-4)[/tex]

Let point P [tex](-4,5)[/tex] and Q [tex](5,-4)[/tex].

But given that she need to stop by origin O[tex](0, 0)[/tex].

So, she travels from P to O first and then goes form O to Q.

Please refer to the attached figure for better understanding.

We need to find the distance PO + OQ to find the total distance traveled by Brenda.

We can use Distance formula :

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

For PO:

[tex]x_2 = 0\\x_1 = -4\\y_2 = 0\\y_1 = 5[/tex]

[tex]PO = \sqrt{(0-(-4))^2+(0-5)^2}\\\Rightarrow PO = \sqrt{(4)^2+(5)^2} = \sqrt{41}\ units[/tex]

Similarly, For OQ:

[tex]x_2 = 5\\x_1 = 0\\y_2 = -4\\y_1 =0[/tex]

[tex]OQ = \sqrt{(5-0)^2+(-4-0)^2}\\\Rightarrow OQ = \sqrt{(5)^2+(4)^2} = \sqrt{41}\ units[/tex]

So, the total distance traveled = PO + OQ = [tex]\sqrt{41}+\sqrt{41}=2\sqrt{41}\ units[/tex]

2[tex]\sqrt{41}[/tex] units is the distance that Brenda is going to travel.

Answer:

136°

Step-by-step explanation:

x and 44° represents the measures of opposite angles of a cyclic quadrilateral.

Since, opposite angles of a cyclic quadrilateral are supplementary.

[tex] \therefore \: x + 44 \degree = 180 \degree \\ \therefore \: x = 180 \degree - 44 \degree \\ \therefore \: x = 136 \degree[/tex]

Answer:

x = 136°

Step-by-step explanation:

180° = x + 44°

180 - 44 = x + 44-44

136° = x

= 136°

Answer:

From my knowledge I would say M= 31 km

Step-by-step explanation:

For each hour you subtract 20 kilometers.

Since the sixth hour was 51 kilometers,to find how many kilometers for the seventh hour we simply subtract 20 from 51.

51- 20 = 31

I really hope this helps:)

Answer:

  ratio

Step-by-step explanation:

The levels of measurement are ...

Both interval and ratio level measurements deal with numerical data. The difference is that ratio-level measurements use a numerical scale that includes an absolute zero, and scale values are proportional to the quantity they represent.

Price data is a ratio level of measurement.

Answer:

  32.1 g

Step-by-step explanation:

In each 3 grams of C, there are 2 grams of A and 1 gram of B. So, for some amount C, the amount remaining of A is 40 -(2C/3), and the amount remaining of B is (50 -C/3). Since the reaction rate is proportional to the product of these amounts, we have ...

  C' = k(40 -2C/3)(50 -C/3) = (2k/9)(60 -C)(150 -C) . . . for some constant k

This is separable differential equation with a solution of the form ...

  ln((150 -C)/(60 -C)) = at + b

We know that C(0) = 0, so b=ln(150/60) = ln(2.5). And we know that C(10) = 20, so ln(130/40) = 10a +ln(2.5) ⇒ a = ln(1.3)/10

Then our equation for C is ...

  ln((150 -C)/(60 -C)) = t·ln(1.3)/10 +ln(2.5)

__

For t=20, this is ...

  ln((150 -C)/(60 -C)) = 2ln(1.3) +ln(2.5) = ln(2.5·1.3²) = ln(4.225)

Taking antilogs, we have ...

  (150 -C)/(60 -C) = 4.225

  1 +90/(60 -C) = 4.225

  C = 60 -90/3.225 ≈ 32.093 . . . . . grams of product in 20 minutes

In 20 minutes, about 32.1 grams of C are formed.

Answer: [tex]C. f(x) = 3(2^x)[/tex].

Step-by-step explanation:

If the graph of function y=f(x) is vertically stretched by a scale factor of 'k', then the new function will be :

[tex]Y=kf(x)[/tex]

The given function : [tex]f(x)=2^x[/tex]

If the given function vertically stretched by a scale factor of '3', then the new function will be :

[tex]Y=3f(x)=3(2^x)[/tex]

Hence, the correct option is [tex]C. f(x) = 3(2^x)[/tex].

Answer:

Step-by-step explanation:

hello

[tex]\dfrac{b^{-2}}{ab^{-3}}=a^{-1}b^{-2+3}=a^{-1}b=\dfrac{b}{a}[/tex]

hope this helps

Answer:

C.

Step-by-step explanation:

edge 2020

C on edge is f(x) = x3 – 3x2 + 4x – 2

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

There are 4 numbers that fit the rule, 3, 4, 7, 8 since they are either less than 5 or greater than 6. There are 6 numbers so the chance would be 4/6 or simplified, 2/3.

Answer:

2/3

Step-by-step explanation:

There are 6 options, 2 of them > 6 and 2 of them < 5

P (greater than 6 or less than 5)= 4/6= 2/3

Answer:

4 cm^2/cm

Step-by-step explanation:

The area of a square is given by the equation:

[tex]Area = side^2[/tex]

To find the rate at which the area increases, we just need to find the derivative of the area in relation to the side:

[tex]dA/ds = 2*side[/tex]

So, when the side length is 2 cm, the rate at which the area increases is:

[tex]dA/ds = 2*2 = 4\ cm^2/cm[/tex]

When the side length is 2 cm, the area increases at 4 cm^2/cm.

Step-by-step explanation:

81

I think this should be the answer

Step-by-step explanation:

x=p-2.1/2

p=perimeter

Answer:

The equation is: [tex]\frac{x+3}{7-x} = 4[/tex]

The solution is:   x = 5

Step-by-step explanation:

Let's write the statement given in math form using "x" to represent the unknown:

"a number is added to the numerator of 3/7 and the same number is subtracted from the denominator, the result is 4"

[tex]\frac{x+3}{7-x} = 4[/tex]

This is then the equation that represents the statement, and now for the solution  of the problem: solving for the unknown.

[tex]\frac{x+3}{7-x} = 4\\x+3=4\,(7-x)\\x+3=28-4x\\x+4x=28-3\\5x=25\\x=5[/tex]

Answer:

3+x

-------- = 4

7-x

x=5

Step-by-step explanation:

3+x

-------- = 4

7-x

Multiply each side by (7-x)

3+x = 4(7-x)

Distribute

3+x = 28 - 4x

Add 4x to each side

3+x+4x= 28-4x+4x

3 +5x = 28

Subtract 3 from each side

5x = 28-3

5x= 25

Divide by 5

5x/5 = 25/5

x = 5

Answer:

The radius of the larger is 3 3/5 cm or 3.6 cm

Step-by-step explanation:

The ratio of the volumes is  that is related to the scale factor cubed

125/216  = (sf) ^3

Taking the cube root of each side

(125/216)^1/3  = (sf) ^3 ^(1/3)

5/6 = (sf)

That means the ratio of the radii is in the same proportion

5/6 = 3/ r

Using cross products

5r = 6*3

5r/5 = 18/5

r = 18/5 = 3 3/5

Answer:

Answer D: Construct Y because it constructs the circumcenter.

Step-by-step explanation:

Point E has equal distance to L,M and N, because it is the center of a circle that goes through all 3 of them. The circumcenter is the center of a circle circumscribed about (drawn around) the triangle.

Answer:

700.3

Step-by-step explanation:

dont know if it's right.

Answer:

$225 = $1250*0.04*4

Step-by-step explanation:

The appropriate formula to use here is i = p*r*t, where p is the principal, r is the annual interest rate as a decimal fraction, and t is the number of years.

Here:

$225 = p*0.045*4 represents this relationship.  p, the principal, is not given, but can be calculated from the above equation:

             $225

p = -------------------- = $1250

       0.045*4

Then the given relationship is

$225 = $1250*0.04*4

Answer:

n = $1250rt

Step-by-step explanation:

Answer:

d. y ˆ =269,000−8300x

Step-by-step explanation:

If the regression describes the amount of dollars left after a single donation as a function of time, the regression must consist of a positive lump sum subtracted by an yearly rate. This rules out alternatives a, c, and e.

Since this equation must represent the amount left after 10 years, it must yield a positive value up to at least x = 10.

For equation b., when x = 10:

[tex]y=69,000-8,300*10\\y=-14,000[/tex]

For equation d., when x = 10:

[tex]y=269,000-8,300*10\\y=186,000[/tex]

Therefore, the only possible answer is d. y ˆ =269,000−8300x

Answer:

9x^2-25

Step-by-step explanation:

You can solve this problem by using FOIL:

    - FOIL (First, Outer, Inner, Last)

First: 3x*3x= 9x^2

Outer: 3x*-5= -15x

Inner: 3x*5 = 15x

Last: 5*-5= -25

Now add what we got together:

9x^2 -15x +15x -25

Answer: 9x^2 - 25

Note: Whenever when we see conjugates(coefficients of variables are same but real numbers are opposites) like these we can ignore the outer and inner of the foil process as they cancel out.

Hope this helps!

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[tex]9x^2 - 25[/tex]

Explanation:

[tex]( a + b) ( a - b ) = a^2 - b^2[/tex]

Substitute with 3x and b with 5:

[tex](3x + 5) (3x - 5) = (3x)^2 - 5^2\\[/tex]

[tex]= 9x^2 - 25[/tex]

∴ [tex]( 3x + 5) ( 3x - 5) = 9x^2 - 25[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Answer: 375%

Step-by-step explanation:

375%.  Simply do 2250/600 to get 3.75, or 375%.

Hope it helps <3

The α = 0.05 and the p-value (0.034) is less than α, we reject the null hypothesis. There is sufficient evidence to support the researcher's contention that last-minute filers  receive lower average tax refunds than early filers. Since the test statistic is more extreme than the critical value, we reject the null hypothesis.

a.

Hypotheses:

Null Hypothesis [tex](H_0)[/tex]: There is no difference in the average tax refund amount between early filers and last-minute filers .

Alternative Hypothesis [tex](H_a)[/tex]: Last-minute filers  receive lower average tax refunds than early filers.

Mathematically:

[tex]H_0[/tex]: μ_last_minute = μ_early

[tex]H_a[/tex]: μ_last_minute < μ_early

where:

μ_last_minute = population mean refund for last-minute filers

μ_early = population mean refund for early filers

b.

Given information:

Sample mean for last-minute filers = $910

Population standard deviation (σ) = $1600

Sample size (n) = 400

To calculate the test statistic and the p-value, use the formula:

[tex]z = (\bar x - \mu) / (\sigma / \sqrt n)[/tex]

Where:

[tex]\bar x[/tex] = sample mean

μ = hypothesized population mean under the null hypothesis

σ = population standard deviation

n = sample size

Plugging in the values:

z = ($910 - $1056) / ($1600 / √400)

z = ($910 - $1056) / ($1600 / 20)

z = -$146 / 80

z ≈ -1.825

c.

To find the p-value associated with the test statistic, use a standard normal distribution table. For a one-tailed test with a z-score of -1.825, the p-value is approximately 0.034.

d.

Critical value approach:

To perform the hypothesis test using the critical value approach, we first need to find the critical value corresponding to α = 0.05 and a one-tailed test.

For a significance level (α) of 0.05, the critical value is approximately -1.645.

Now, the test statistic we calculated previously was -1.825.

Conclusion: The p-value is less than α, we reject the [tex](H_0)[/tex].There is sufficient evidence to support the researcher's contention that last-minute filers  receive lower average tax refunds than early filers. Since the test statistic is more extreme than the critical value, we reject the null hypothesis.

Learn more about Critical value here:

https://brainly.com/question/32607910

#SPJ4

Answer:

A.18/25

B.72% of them brought in their permission slips

C.0.72

D.There the exact same value and we would divide by 100 to go from percentage to decimal and multiply by 100 to go to decimal to percentage Sign.

Step-by-step explanation:

Answer:

We can use the distributive property.

(x + 2)(y - 1)

= x(y) - x(1) + 2(y) - 2(1)

= xy - x + 2y - 2

Answer:

solution,

[tex](x + 2)(y - 1) \\ = x(y - 1) + 2(y - 1) \\ = xy - x + 2y - 2[/tex]

Hope this helps...

Answer:

slope = 1/3, equation is y = 1/3x - 2

Step-by-step explanation:

slope formula = change in y / change in x

= (0 - (-2)) / (6 - 0) = 2 / 6 = 1/3

Since we know the slope and the y-intercept we can write the equation in slope-intercept form which will be y = 1/3x - 2.

Answer:

y=1/3x -2

Step-by-step explanation:

points (0, -2) and (6, 0)

Slope- intercept form:

y=mx+b

y=1/3x+b

y=1/3x -2

Answer:

45

Step-by-step explanation:

Set up a proportion between the given data.

[tex]\frac{8}{18}[/tex] = [tex]\frac{20}{x}[/tex]

Solve for x.

[tex]\frac{8}{18}[/tex] = [tex]\frac{20}{x}[/tex]

8x = 360

x = 45

I would really appreciate it if you would mark me brainliest.

Have a blessed day!

Answer:

45 feet

Step-by-step explanation:

Set up a proportion using the following setup:

height/shadow=height/shadow

The flagpole has a height of 20 feet and casts and 8 foot shadow.

20 feet/8 feet= height/shadow

The goalpost has a height of x (unknown) feet and a shadow of 18 feet.

20 feet/8 feet= x feet / 18 feet

20/8=x/18

x is being divided by 18. The inverse of division is multiplication. Multiply both sides by 18.

18*(20/8)=(x/18)*18

18*20/8=x

18*2.5=x

45=x

x= 45 feet

The goal post is 45 feet tall.

Answer:

If Avery decides to deposit $7,000 for 5 years, the bank would be the better deal would be bank is offering a rate of 3%

compounded annually

Step-by-step explanation:

In order to calculate which bank would be the better deal If Avery decides to deposit $7,000 for 5 years, we would have to make the following calculation:

simple interest rate of 32%.

Therefore, I= P*r*t

=$7,000*32%*5

=$11,200.

compound interest rate of 3%

Therefore, FV=PV(1+r)∧n

FV=$7,000(1+0.03)∧5

FV=$8,114.

If Avery decides to deposit $7,000 for 5 years, the bank would be the better deal would be bank is offering a rate of 3%

compounded annually

Answer:

angle four measures 45°

Step-by-step explanation:

(see picture)

Answer:

The 99% confidence interval for the proportion of adults who regularly lie to people conducting surveys is (0.116, 0.19).

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].

For this problem, we have that:

[tex]n = 623, \pi = \frac{95}{623} = 0.153[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.153 - 2.575\sqrt{\frac{0.153*0.848}{623}} = 0.116[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1525 + 2.575\sqrt{\frac{0.153*0.845}{623}} = 0.19[/tex]

The 99% confidence interval for the proportion of adults who regularly lie to people conducting surveys is (0.116, 0.19).