Consider the function f (x) = -2/3x +5.

Yw = yw what is the reason

kotegsom [21]

Answer:

The Communicative Property of Multiplication

Step-by-step explanation:

5 0

3 years ago

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According to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that h

shepuryov [24]

Answer:

The probability that exactly one of these mortgages is delinquent is 0.357.

Step-by-step explanation:

We are given that according to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure.

A random sample of eight mortgages was selected.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 8 mortgages

r = number of success = exactly one

p = probability of success which in our question is % of U.S.

mortgages those were delinquent in 2011, i.e; 8%

LET X = Number of U.S. mortgages those were delinquent in 2011

So, it means X ~ $Binom(n=8, p=0.08)$

Now, Probability that exactly one of these mortgages is delinquent is given by = P(X = 1)

P(X = 1) = $\binom{8}{1}\times 0.08^{1} \times (1-0.08)^{8-1}$

= $8 \times 0.08 \times 0.92^{7}$

= 0.357

Hence, the probability that exactly one of these mortgages is delinquent is 0.357.

4 0

3 years ago

2. Bohol:

mel-nik [20]

Answer:

keeping it and give to museum and then no one will steal it

Explanation:

cuz the most cultural artifact of ours is that cuz that proves phillipines is a cultural,keeping safe,rich and welthy and more culture concern

3 0

3 years ago

A log splitter can split 6/5 cords of wood in 4/5 of an hour. Complete the unit rate by setting up a complex fraction and simpli

Digiron [165]

Answer:

1½ cords per hour

Step-by-step explanation:

A log splitter can split 6/5 cords of wood in 4/5 of an hour.

To find a unit rate, we divide the quantity of cords of wood by the time.

This gives us the complex fraction.

$\frac{ \frac{6}{5} }{ \frac{4}{5} }$

This is the same as

$\frac{6}{5} \div \frac{4}{5}$

To divide two fractions, we multiply by the reciprocal of the second fraction.

$\frac{6}{5} \times \frac{5}{4}$

$\frac{3}{1} \times \frac{1}{2}$

This simplifies to:

$\frac{3}{2} = 1 \frac{1}{2}$

The unit rate is 1.5 cords per hour

3 0

3 years ago

Which ordered pairs lie on the graph of the exponential function f(x)=2^(x+4)−8?

natka813 [3]

Given the function

$f(x)=2^{(x+4)}-8$

Consider the point (2, 56) i.e. when x = 2

$f(x)=2^{2+4}-8 \\ \\ =2^6-8=64-8 \\ \\ =56$

Therefore, point (2, 56) lie on the graph of the given exponential function.

Consider the point (-2, -4) i.e. when x = -2

$f(x)=2^{-2+4}-8 \\ \\ =2^2-8=4-8 \\ \\ =-4$

Therefore, point (-2, -4) lie on the graph of the given exponential function.

Consider the point (8, 0) i.e. when x = 8

$f(x)=2^{8+4}-8 \\ \\ =2^{12}-8=4,096-8 \\ \\ =4,088$

Therefore, point (8, 0) does not lie on the graph of the given exponential function.

Consider the point (24, 1) i.e. when x = 24

$f(x)=2^{24+4}-8 \\ \\ =2^{28}-8=268,435,456-8 \\ \\ =-268,435,448$

Therefore, point (24, 1) does not lie on the graph of the given exponential function.

5 0

4 years ago