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mrs_skeptik [129]
3 years ago
13

Suppose that the auto loans from a bank are normally distributed with a mean of $23,334 and a standard deviation of 3,412. what

is the probability that a randomly selected loan will be for less than $26,000? answer to three decimal places if necessary.
Mathematics
1 answer:
UkoKoshka [18]3 years ago
4 0
To illustrate the information in the correct syntax:
X~N(23334, 3412²)
What we're being asked to find is P(X ≤ 26000).
In order to do this, we need to convert this value into one we can look up on the table for the standard normal distribution (Z).
To do this we use the formula:
Z = (X - μ)/σ
Z = (26000 - 23334)/3412 = 0.7813599... ⇒ 0.78
We can say:
P(X ≤ 26000) = P(Z ≤ 0.78) = 0.7823
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Factor each polynomial x^2-9x+10 <br> Show your work
jok3333 [9.3K]

Answer:

not factorable

Step-by-step explanation:

x^{2}  - 9x +10\\

The easiest way to factor is to find two numbers of the "a" value (the coefficient before x^{2}) and the factors of the c value (10) that ADD up to give you -9, in this case it would be:

1          -10  --> 1(-10) gives you -10

1           -1    --> 1(-1) gives you -1

adding these together -10 + (-1) = -11 which does not equal -9.

You could stop here and conclude that this is not factorable by inspection.

Another method: using the quadratic formula to find its roots.

Roots: (\frac{9-\sqrt{41} }{2}, 0) and (\frac{9+\sqrt{41}}{2}, 0)

7 0
2 years ago
Fresh Express
kolbaska11 [484]

Answer: £245

Step-by-step explanation:

24.5 hours from wednesday to saturday

24.5 X 10 = 245

4 0
3 years ago
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 70 p
nikklg [1K]
X = large boxes and y = small boxes

x + y = 70.....x = 70 - y
60x + 65y = 4300

60(70 - y) + 65y = 4300
4200 - 60y + 65y = 4300
5y = 4300 - 4200
5y = 100
y = 100/5
y = 20 <=== the small boxes weigh 20 lbs

x + y = 70
x + 20 = 70
x = 70 - 20
x = 50 <== and the large boxes weigh 50 lbs
5 0
3 years ago
What simple interest rate would allow $6000 to grow to an amount of $14550 in 10 years?
Harman [31]

Answer:

\boxed{ \bold{ \huge{  \boxed{ \sf{ \: 14.25 \: \% \: }}}}}

Step-by-step explanation:

Given,

Principal ( P ) = $ 6000

Amount ( A ) = $ 14550

Time ( T ) = 10 years

Rate ( R ) = ?

<u>Finding </u><u>the </u><u>Interest</u>

The sum of principal and interest is called an amount.

From the definition,

\boxed{ \sf{Amount =  \: Principal + Interest}}

plug the values

⇒\sf{14550 = 6000 + Interest}

Swap the sides of the equation

⇒\sf{6000 + Interest = 14550}

Move 6000 to right hand side and change its sign

⇒\sf{Interest = 14550 - 6000}

Subtract 6000 from 14550

⇒\sf{Interest = \: 8550 \: }

Interest = $ 8550

<u>Finding </u><u>the </u><u>rate </u>

{ \boxed{ \sf{Rate =  \frac{Interest \times 100}{Principal \times Time}}}}

plug the values

⇒\sf{ Rate = \frac{8550  \times 100}{6000 \times 10} }

Calculate

⇒\sf{Rate =  \frac{855000}{60000} }

⇒\sf{Rate = 14.25 \: \% \: }

Hope I helped!

Best regards!!

8 0
3 years ago
Please tell me the answer quick
fomenos

Answer:

D) The expression 9 - p has exactly 2 terms

8 0
3 years ago
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