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2 years ago

2. Solve the equation - 4(8 + y) = 90.

Mathematics

2 answers:

sp2606 [1]2 years ago

6 0

-32-y=90
-y=90+32
-y=122
y=-122
So, the answer is y=-122

kondor19780726 [428]2 years ago

3 0

Answer: y=-61/2

Step-by-step explanation: - 4(8 + y)/-4 = 90/-4

8+y-8=-45/2-8

-8(2)-45/2

-16-45

-61

y=-61/2

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How do i write 5,972,000,000,000,000,000,000,000kg in Scientific Notation

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3 years ago

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

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

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

4 0

3 years ago

On Thursday, a company received 10 boxes with 16 desk calendars

Jet001 [13]

Answer:

340

Step-by-step explanation:

10 ×16=160

12×15=180

160+180=340 so a total of 340 calendars

3 0

2 years ago

PLEASE HELPPPPPPPPP!!!!?????

natta225 [31]

Answers:

Mean = 69
Median = 69
Mode = {68, 70}

===============================================

Explanations:

To get the mean, you add up all of the values and then you divide by N, where N is the number of values in the list. In this case, you'll divide by N = 8.

Adding up all the values gets you 70+68+70+72+68+66+65+73 = 552. Dividing that over 8 then leads to the arithmetic mean of 552/8 = 69

-------

To find the median, you'll first sort the values from smallest to largest. You should have this set {65, 66, 68, 68, 70, 70, 72, 73} after sorting. Next, cross off the smallest and largest values to end up with this smaller set {66, 68, 68, 70, 70, 72}. We do this so we can locate the middle-most item.

Repeat the process of crossing off the smallest and largest items to get {68, 68, 70, 70}. Do so one more time and we get {68,70}.

The midpoint of those two values is (68+70)/2 = 138/2 = 69. The median is 69. The mean and median may not always be the same value.

--------

The mode is the most frequent value. In this case, we have 68 and 70 show up exactly twice for each unique value. This is the most compared to the other unique values that only show up exactly once.

It is possible to have more than one mode, as long those values are more frequent than the rest. We denote the mode as a set, so the mode is {68, 70}

8 0

2 years ago

2. Solve the equation - 4(8 + y) = 90.​

2. Solve the equation - 4(8 + y) = 90.