Which expression is equivalent to square root a^7

Answer:

As a plumber charges a customer a one-time service fee of $ 79, $ 62 per hour for labor, and a surcharge of $ 15 per hour due to the call being an emergency, to write an expression to represent the total charges for the plumber in two different ways, with H representing the number of hours the job takes, the following equations should be formulated:

Option 1:

Fixed amount + amount per hour multiplied by the number of hours + emergency amount multiplied by the number of hours = X

79 + 62H + 15H = X

Option 2:

Fixed amount + sum of emergency amount and the amount per hour multiplied by the number of hours = X

79 + ((62 + 15) x H) = X

Answer:

3 favorable outcomes

There are three paths that end up with spinning the same color twice

Answer:

should be 3

Step-by-step explanation:

Answer:

the mid point is 6,3

Step-by-step explanation:

the mid point is 6,3

Answer:

In Data Set A mean , standard deviation are better measure of center as they give more information about the center of  data.

In Data Set B mean , standard deviation are better measure of center as they give more information about thecenter of data.

Step-by-step explanation:

Data Set A           Data Set B

1                                   3

3                                   5

3                                   5

2                                   4

4                                    6

0                                    1

4                                     6

3                                     6

3                                      6

5                                      6

2                                     5

Mean of Set A= 1+3+3+2+4+0+4+3+3+5+2/ 11= 30/11= 2.7272

Median of Set A= 0,1,2,2,3,3 ,3,3,4,4,5

Median   ( the middle value)=3

Mode( the repeated value)= 3

Quartiles

1st Quartile= n/4 value= 30/4= 7.5 which lies between 4th and 5th value

3rd quartile= 3n/4= 90/4= 22.5 which lies between 10 th and 11th value

Range= highest value- lowest value= 5-0=5

Standard Deviation = 1.354

In this mean ,median, mode and standard deviation are better measure of center as they give more information about the data.

The range and quartiles are better measure of spread.

Mean of Set B= 3+5+5+4+6+1+6+6+6+6+5/11=53/11=4.81818

Median of Set B= 1,3,4,5,5,5,6,6,6,6,6

Median ( the middle value)= 5

Mode ( the repeated value)= 6

Quartiles

1st Quartile= n/4 value= 53/4= 13.25 which lies between 4th and 5th value

3rd quartile= 3n/4= 159/4= 39.75 which lies between 9 th and 10 th value

Range= highest value- lowest value=6-1= 5

Standard Deviation= 1.5266

In this mean , standard deviation are better measure of center as they give more information about the data.

The median mode quartiles and range are better measure of spread.

A smaller standard deviation indicates that most of the observations are close to the mean while a large value implies that the observations are scattered widely about the mean.

The quartiles must be having values near 25% and 75% of the data.

The center gives a value which is located around the center

Mean: It gives the  average value.

Median:It is the  middle value when data is ordered from least to greatest.

The spread gives the value showing where the data may variate.

Range: Total spread is given by the range.

Standard deviation: How far a data point is from the mean.

Answer:

-3 is the answer of this question

Answer:

(a)-3

Step-by-step explanation:

[tex]5 - 8x = 29 \\ - 8x = 29 - 5 \\ - 8x = 24 \\ x = \frac{24}{ - 8} \\ x = - 3[/tex]

Answer:

7 packages are available for Kevin

Answer:

133.07 cm^3

Step-by-step explanation:

the polyhedron is a cone

volume of a cone =n r^2(h/3)

n = 22/7

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

Radius = 5/2 = 2.5 in

h = height

(2.5^2 x 8) x 1/3 x 22/7 = 52.39 in^3

we need to convert inches to cm

1 in = 2.54 cm

2.54 x 52.39 = 133.07 cm^3

Answer: V=37.5 cm³

Step-by-step explanation:

Formula

V=(πr²h)/3

Given

r=5/2=2.5 cm

h=6 cm

Solve

V=(πr²h)/3

V=(π(2.5)²(6))/3

V=(π(6.25)(6))/3

V=37.5π/3

V=37.5(3)/3

V=37.5 cm³

Hope this helps!! :)

Please let me know if you have any questions

Answer:

[tex]

\mathbb{ ANSWER }[/tex]

C. 100n m/sec

Answer:

8x/5

Step-by-step explanation:

9514 1404 393

Answer:

  14.  C

  15.  C

Step-by-step explanation:

14. The function is entirely in quadrants I and II, so the leading coefficient is positive. This eliminates choices A and B.

The horizontal asymptote is 0, not -1, eliminating choice D.

The curve is best described by the equation of choice C.

__

15. The domain and range of an unadulterated exponential function are ...

  domain: all real numbers; range: y > 0 . . . . matches choice C

Answer:

an = 148 + 48

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given sequence:

This is an AP with the first term of a₁ = 100 and common difference of d = 12.

Formula for nth term is:

Answer:

The answer is "294.2075".

Step-by-step explanation:

Given:

[tex]\hat{p} = 0.5 \\\\1 - \hat{p} = 1 - 0.5 = 0.5\\\\E = 4\% = 0.04\\\\[/tex]

At [tex]83\%[/tex] confidence level the z is ,

[tex]\alpha = 1 - 83\% = 1 - 0.83 = 0.17\\\\\frac{\alpha}{2} = \frac{0.17}{2} = 0.085\\\\Z_{\frac{\alpha}{2}} = Z_{0.085} = 1.3722\\\\n = (\frac{Z_{\frac{\alpha}{2}}}{E})^2 \times \hat{p} \times (1 - \hat{p})\\\\[/tex]

   [tex]= (\frac{1.3722}{0.04})^2 \times 0.5 \times 0.5\\\\= (34.305)^2 \times 0.5 \times 0.5\\\\= 1,176.83 \times 0.5 \times 0.5\\\\= 1,176.83 \times 0.25\\\\=294.2075[/tex]

Answer:

x = 1.91

Step-by-step explanation:

x + 6.62 = 8.53

x + 6.62 - 6.62 = 8.53 - 6.62

x = 1.91

Answer:

x=22

smaller angle=27

bigger angle= 53

Answer:

D. 48x

Step-by-step explanation:

sana nakatulong

Answer:

Step-by-step explanation:

If m∠A + m∠B = m∠B + m∠C, subtract  m∠B from both sides  [ subtraction property of equality ].

We get that m∠A  = m∠C     and by the  symmetric property of equality,  m∠C = m∠A

Answer:

garden eel < great white shark < sea urchin < sea turtle

Step-by-step explanation:

Answer:

one

Step-by-step explanation:

Answer:

Hello a value is missing in your question below is the value

samples of n = 10

answer : 24.63 <  μ  < 25.370

Step-by-step explanation:

Given :

Sample size = n = 10

Z∝/2 = Z0.0256 = 1.95

next calculate for margin of error

E = Z∝/2 * ( 0.6 /  / [tex]\sqrt{10}[/tex] )

   = 0.370

therefore at  94.87% confidence interval the estimated population mean is

x - 0.370 < μ <  x + 0.370

25 - 0.370 < μ < 25 + 0.370

24.63 <  μ  < 25.370

Answer:

I don't know definitely, but in guessing A) 2X+3Y=-25    x-y=5

Step-by-step explanation:

2 times more than X, means that whatever x is, its multiplied by 2, giving 2X, also making it the larger number, even if y is a smaller number.

For example: x=5   2x5= 10, and y=3  3x3= 9

Im sorry if its wrong

Answer:

a. 5.53

b. 1.078

c. 0.126

d. 0.109

e. 0.549

f. 0.834

g.  0.451

Step-by-step explanation:

The percentage of the flights that arrive on time, P(x) = 79%

The number of flights in the sample, n = 7 flights

a. The mean of the probability distribution, μ = ∑x·P(x)

Therefore, we have; μₓ = n·p

μₓ = 7 × 79/100 = 5.53

b. The standard deviation, σₓ = √(n·p·(1 - p))

∴ σₓ = √(7 × 0.79 × (1 - 0.79)) ≈ 1.078

c. We have;

p = 0.79

q = 1 - p = 1 - 0.79 = 0.21

By binomial probability distribution formula, we have;

The probability of exactly four, P(Exactly 4) = ₇C₄·p⁴·q³

P(Exactly 4) = 35 × 0.79⁴×0.21³ ≈ 0.12625

d. The probability of less than 4 is given as follows;

P(Less than 4) = ₇C₀·p⁰·q⁷ + ₇C₁·p¹·q⁶ + ₇C₂·p²·q⁵ + ₇C₃·p³·q⁴

∴ P(Less than 4) = 1×0.79^0 * 0.21^7 + 7 * 0.79^1 × 0.21^6 + 21*0.79^2*0.29^5+ 85×0.79^3*0.21^4 ≈ 0.109

The probability of less than 4 is ≈ 0.109

e. The probability that more than 5 is given as follows;

P(More than 5) = ₇C₆·p⁶·q¹ + ₇C₇·p⁷·q⁰

7×0.79^6 * 0.21 + 1 * 0.79^7 × 0.21^0 ≈ 0.549

f. The probability that at least 5 of the flight were on time is given as follows;

P(At least 5) = ₇C₅·p⁵·q² + ₇C₆·p⁶·q¹ + ₇C₇·p⁷·q⁰

∴ P(At least 5) = 21×0.79^5 * 0.21^2 + 7×0.79^6 * 0.21 + 1 * 0.79^7 × 0.21^0 ≈ 0.834

g.  For the probability that no more than 5 of the flights were on time, e have;

P(At most 5) = 1 - P(More than 5)

∴ P(At most 5) = 1 - 0.549 ≈ 0.451.

Answer:

3,405

Step-by-step explanation:

Answer:

A.  y = 3x + 3

Step-by-step explanation:

The slope is 3 and the y-intercept is 3.  Therefore, answer A is correct

Answer:

y= 2x

Step-by-step explanation:

y= mx+b

The slope (m) is 2/1 or just 2.

The y-intercept (b) is 0.

y= 2x

Answer:

11.7 square units

Step-by-step explanation: