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vovikov84 [41]
2 years ago
15

Which number to the point D represent on a number line? A. square root 35 B. square root 75 C. square root 95 D. square root 115

Mathematics
1 answer:
Nana76 [90]2 years ago
8 0

Answer:

the answer is D. 1115

Step-by-step explanation:

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An average light bulb manufactured by the Acme Corporation lasts 300 days with a standard deviation of 50 days. Assuming that bu
notsponge [240]

Answer:

1. 90% 2. 10% 3. 50%

Step-by-step explanation:

Standard Deviation (σ) = 50 days

Average/Mean (μ) = 300days

Probability that it would last more than 300 days = P(Bulb>300 days)

We will assume there are 365 days in a year.

P(Bulb>300 days)  implies that the bulb would

Using the normal equation;

z = standard/normal score = (x-μ)/σ where x is the value to be standardized

P(Bulb>300 days) implies x = 365 days

Therefore z = (365-300)/50 = 1.3

Using the normal graph for z=1.3, probability = 90%

2. P(Bulb<300 days) = 1 - P(Bulb>300 days)\

P(Bulb<300 days) = 1 - 0.9

P(Bulb<300 days)  = 10%

3. P(Bulb=300 days) implies z=0 since x=300

Using the normal graph for z=0, probability =50%

6 0
2 years ago
A change purse contains an equal number of pennies, nickels, and dimes. The total value of the coins is 208
Aliun [14]

Answer:

x= 14

Step-by-step explanation:

x + 5x +10x = 224 CENTS

solving for x

16x = 224

x = 14, the number of each coin there is

5 0
3 years ago
The radius of a cylindrical tank is 3' and the height is 8'what is the volume
valentinak56 [21]

Answer:

226 cubed foot (rounded to 3 s.f.)

Step-by-step explanation:

Volume of cyclinder: \pi × r² × h

Volume of cylindrical tank = \pi × 3² × 8

                                           = 72\pi

                                           = 226 cubed foot (rounded to 3 s.f.)

7 0
3 years ago
A square with a side length of 4 inches is dilated by a scale factor of 3/2. What is the length of a side of the dilated
sweet-ann [11.9K]
The answer is 6 inches
5 0
2 years ago
If you deposit $1000 in a savings account with an interest rate of r compounded annually, then the balance in the account after
Sedaia [141]

Answer:

B

Step-by-step explanation:

Our equation is as follows, B(c)=1000(1+r)^3. We are being asked to manipulate the equation and have it be r equals in order to solve for an interest rate when given a balance B. To solve the equation for the variable r, we must isolate r by completing order of operations or PEMDAS backwards.

SADMEP allows us to undo subtraction, addition, and etc in the correct order. We have no subtraction or addition outside of more complex operations. So we move to multiplication or division.

We divide both sides by 1000.

\frac{B}{1000} =\frac{1000(1+r)^{3} }{1000}

We simplify the right side.

\frac{B}{1000} =(1+r)^{3}

We need to now undo the exponent of 3 by using the inverse, a cube root.

\sqrt[3]{\frac{B}{1000}} =\sqrt[3]{(1+r)^{3}}

We simplify the right side.

\sqrt[3]{\frac{B}{1000}} =(1+r)

We subtract 1 to both sides to get r alone.

-1+\sqrt[3]{\frac{B}{1000}} =r

For our last step, we simplify the denominator of the root because 10*10*10=1000.

-1+\frac{\sqrt[3]{b} }{10} =r

This is answer choice b.



5 0
3 years ago
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