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STALIN [3.7K]
3 years ago
13

Please help thank you!

Mathematics
1 answer:
ser-zykov [4K]3 years ago
3 0

Answer:

a) 91.4%

b) 37.6%

c) 26.8%

Step-by-step explanation:

For each of these, we'll get a z-score, then use our calculators to find the area using normalcdf (on TI-84, 2nd->VARS->2)

a)  z = (9-6.4) / 1.9 = 1.368

    normalcdf(-999,1.368) = .914 = 91.4%

b) z = (7-6.4) / 1.9 = .316

   normalcdf(.316,999) = .376 = 37.6%

c) normalcdf(.316,1.368) = .268 = 26.8%

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Which exponential function is represented by the values in the table?
Goryan [66]

Answer:

\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x

Step-by-step explanation:

<u>Exponential Function</u>

The exponential function can be written with the general equation:

f(x)=A\cdot r^x

Where A is the value when x=0 and r>0 is the ratio. If r is greater than 1, the function is increasing, if r is less than 1, the function is decreasing.

The table shows the relation between values of x and values of the function y. Note that as x increases (one by one), y decreases with a ratio of 1/2. Only the last two choices have ratios of r=1/2. We only have to test which one of them has the correct value of y=4 when x=0.

Substituting in the third function:

\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x

\displaystyle f(0)=4\cdot\left(\frac{1}{2}\right)^0

f(0) = 4

This gives the correct value of f(0)=4.

Substituting in the fourth function:

\displaystyle f(x)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^x

\displaystyle f(0)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^0

f(0) = \frac{1}{2}

This choice is wrong

Correct choice:

\boxed{\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x}

8 0
3 years ago
Solve for A.<br><br> 7a + 2 = 3a + 14
frutty [35]
A=22 you're welcome if you need help dm me
3 0
3 years ago
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Paga No. Date: 6. When a discount of 25% is allowed on the marked price then the selling price will be 1425 .lf the marked price
SVETLANKA909090 [29]

Answer:

The percentage loss = 10.9375 %

Step-by-step explanation:

Let the cost price = x

Since the marked price is 18.75% above the cost price so the

Marked price = 1.1875 x

When a discount of 25% is allowed on the marked price , the selling price will be Rs. 1425

⇒ Marked price × 0.75 = 1425

⇒ Cost price × ( 1.1875 × 0.75 ) = 1425

⇒ Cost price × ( 0.890625 ) = 1425

⇒ Cost price = 1600

Selling price = 1425

So percentage loss =  × 100

% Loss =  × 100

% Loss = 10.9375 %

5 0
2 years ago
What is the exact volume of a sphere that has a radius of 9.6 m?<br><br> <img src="https://tex.z-dn.net/?f=%20%5Cpi%20" id="TexF
Evgesh-ka [11]
<span>We have to find the volume of the sphere that has a radius of 9.6 m. The formula for the volume of the sphere is: V = 4/3 r^3 Pi. ( r = 9.6 m, Pi = 3.14 ) V = 4/3 * 9.6^3 * 3.14; V = 4/3 * 884.736 * 3.14; V = 3,705.97349m^3 ( when the number Pi is more accurate ). Answer: The exact volume of the sphere is 3,704.97349 m^3.</span>
4 0
3 years ago
-k=7<br>what is k equal to
kifflom [539]

-k=7

divide each side by -1

-k/-1 = 7/-1

k = -7

3 0
3 years ago
Read 2 more answers
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