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3 years ago

How do you solve this rational exponent (25b^6)^-1.5?

1 answer:

3 0

$Use:\left(a^n\right)^m=a^{n\cdot m}\ and\ (a\cdot b)^n=a^n\cdot b^n\\\\25=5^2\\\\(25b^6)^{-1.5}=\left(5^2b^6\right)^{1.5}=\left(5^2\right)^{-1.5}\cdot\left(b^6\right)^{-1.5}=5^{2\cdot(-1.5)}\cdot b^{6\cdot(-1.5)}\\\\=5^{-3}b^{-9}=\frac{1}{5^3b^9}=\boxed{\frac{1}{125b^9}}$

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The claim is that the standard deviation of the speeds of drivers in Bradford is 8 mph. An experienced driver feels that this is

Irina-Kira [14]

Answer:

Null hypothesis is rejected. Standard deviation is > 8 miles per hour

Step-by-step explanation:

σ [Population standard deviation] = 8 , s [sample standard deviation] = s

n [no of items] = 8

H0 [Null] : σ = 8 ; H1 [Alternate - Right Tail] : σ > 8

χ2 = (n - 1) . s^2 / σ^2

= 49 x (10.5)^2 / 82 = 5402.25 / 64

χ2 = 84.410

df [degree of freedom] = n -1 = 50 - 1 = 49

P value (χ^2 49 > 84.410) = 0.00125

p = 0.0013

p < α ie 0.05

So, H0 is rejected

Hence we state that standard deviation is > 8 miles per hpur

6 0

4 years ago

The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that the cost of

tatuchka [14]

Answer:

The probability that the cost is kept within budget or the campaign will increase sales is 0.88

Step-by-step explanation:

The probability that the cost is kept within budget (event A) or the campaign will increase sales (event B) is the union of the probability of those two events. By basic properties of probability, this is:

P(A ∪ B) = P(A) + P (B) - P(A ∩ B)

and for independent events:

P(A ∩ B) = P(A) * P(B)

So:

P(A ∪ B) = 0.80 + 0.40 - (0.80*0.40) = 1.20 - 0.32 = 0.88

5 0

3 years ago

Write and graph an equation in point slope form of the line that passes through the given point and with the given slope (3,4) m

AnnyKZ [126]

So slope intercept form y=mx+b slope is m

m=6 so
y=6x+b
this is not the legit way but it works so
put in 3 for x and 4 for y and solve for b
4=6(3)+b
4=18+b
-14=b
b=-14

the slope intercep form is y=6x-14

4 0

4 years ago

Haley makes earrings and packages them into cube boxes that measure 1/6 foot wide. how many 1/6 foot cubic boxes can she fit int

navik [9.2K]

Answer: $28\ cubes$

Step-by-step explanation:

The volume of a cube can be found with this formula:

$V_{(c)}=s^3$

Where "s" is the lenght of any edge of the cube.

The formula for calculate the volume of a rectangular prism is:

$V_{rp}=lwh$

Where "l" is the lenght, "w" is the width and "h" is the height.

We need to find the volume of a cube box:

$V_1=s^3=(\frac{1}{6}ft)^3=\frac{1}{216}ft^3$

To find the volume of the shipping box, first we must convert the mixed number to an improper fraction:

$1\frac{1}{6}=\frac{(6*1)+1}{6}=\frac{7}{6}$

Then the volume of the shipping box is:

$V_2=lwh\\\\V_2=(\frac{7}{6}ft)(\frac{1}{3}ft)(\frac{1}{3}ft)=\frac{7}{54}ft^3$

Now, in order to find the number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube. This is:

$\frac{\frac{7}{54}ft^3}{\frac{1}{216}ft^3}=28$

6 0

4 years ago

What is b? 6/8 = 21/b

padilas [110]

Answer:

b = 28

Step-by-step explanation:

8*21 then 168/6 = 28

4 0

3 years ago

Read 2 more answers