Plug in (4,64) into each answer choice.

A) 4(2)^x
64 =4(2)^4
64 = 4(16)
64 = 64

Answer choice A is correct.

B) f(x) = 2(4)^x
64 = 2(4)^4
64 = 2(256)
64 ≠ 512

Answer choice B is incorrect.

C) f(x) = 4(2)^{-x}
64 = 4(2)^{-4}
64 = 4(-0.0625)
64 ≠ 0.25

Answer choice C is incorrect.

D) f(x) = 2(4)^{-x}
64 = 2(4)^{-4}
64 = 2(0.00390625)
64 ≠ 0.0078125

Answer choice D is incorrect.

Your answer is B<span>) f(x)=2(4)^x</span>

4 0

2 years ago

What is another way of writing 34 x (65 + 27)?

Andru [333]

36 x (65+27) is the same as 36(65+27) .. you are able to distribute the 36 ( distributive property) onto the 65 and 27 and add them. Also, you can add the numbers in between the parenthesis and multipy them by 36. Nonetheless, you would arrive at the same answers.

4 0

3 years ago

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When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let

kupik [55]

Answer:

(a) 0.873 (b) 0.007 (c) 0.715 (d) 0.277 (e) 1.25 and 1.09

Step-by-step explanation:

The probability that the random variable X takes the value x is given by P(X=x) = $25Cx 0.05^x0.95^{25-x}$ . Then,

(a) $P(X\leq) = (25C0)(0.05^0)(0.95^{25}) + (25C1)(0.05^1)(0.95^{24}) + (25C2)(0.05^2)(0.95^{23})= 0.873$

(b) $P(X\geq5) = 1-P(X\leq4) = 1 - (0.873 + (25C3)(0.05^3)(0.95^{22}) + (25C4)(0.05^4)(0.95^{21})) = 1 - (0.873 + 0.12) = 0.007$

(c) $P(1\leqX\leq4) = (25C1)(0.05^1)(0.95^{24}) + (25C2)(0.05^2)(0.95^{23}) + (25C3)(0.05^3)(0.95^{22}) + (25C4)(0.05^4)(0.95^{21}) = 0.715$

(d) $P(X=0) = (25C0)(0.05^0)(0.95^{25}) = 0.277$

(e) E(X) = np = (25)(0.05) = 1.25 and $Sd(X) = \sqrt{Var(X)} = \sqrt{np(1-p)} = 1.09$

8 0

2 years ago

The tax rate on Jerome James 112000 vacation home is 25 Mills the property is assessed at full value how much will Jerome pay in

zaharov [31]

Answer: $2,800

Step-by-step explanation:

Given: The assessment value of Jerome's home= $$112,000$

We know that to calculate the property tax, we need to multiply the assessment value of the property by the mill rate and then divide by 1,000.

Then, the property tax is given by :-

$\text{Property tax}=\dfrac{\$112,000\times25}{100}\\\\\Rightarrow=\text{Property tax}=\$2,800$

Therefore, Jerome pay $2,800 as property tax in this year.

4 0

2 years ago

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