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LuckyWell [14K]
3 years ago
13

salaries of nurses in southern california are normally distributed with a mean of $6250 and a standard deviation of $250. what i

s the probability the mean salary of 25 randomly selected nurses is below $6150 or is above $6350 a month
Mathematics
1 answer:
cestrela7 [59]3 years ago
3 0

Step-by-step explanation:

z-score of X = 6150

\frac{6150 - 6250}{250}   =  - 0.4 \\

z-score of X = 6350

\frac{6350 - 6250}{250}  =  - 0.4

P(X<6150) + P(X>6350)

=P(z<-0.4) + P(z>-0.4)

=0.3446+0.3446

=0.6892

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Factorise x^{2} +2x-24[/tex]
Talja [164]

Answer:

(x + 6)(x - 4)

Step-by-step explanation:

x² + 2x - 24

(x + 6)(x - 4)

-4 and +6 multiply to 24 and add to +2.

5 0
3 years ago
What is the length of a rectangle with width 14in. and area 91in.²​?
sleet_krkn [62]

Answer:

91 divided by 14 = 6.5 is the length

Step-by-step explanation:

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7 0
3 years ago
8 less than 2 times a number is greater than the sum of the same number and 9
lyudmila [28]

step-by-step explanation:

every time we see "a number" or "the same number," we can add a variable (we'll use x here).  rewriting the problem, we get: 8 less than 2 times x is gr8er than the sum of  x and 9.  

next, we can work backwards to write an inequality.  we know from the word problem above that the number on the left side of the equation is 8 less than 2x, so we can rewrite that part like this: 2x-8.

for the right side of the equation, all we have to do is simplify "the sum of x and 9" to x + 9.  so now the inequality should look like this: 2x - 8 > x + 9.  

now we'll solve the inequality just like an equation: subtract x from both sides of the inequality, so now we have: x - 8 > 9.

then, we can add 8 to both sides to get the x by itself, and we get the answer: x > 15

hope this helps! <em>:)</em>

4 0
3 years ago
The diagram is not drawn to scale!!<br>pls​
s2008m [1.1K]

Answer:

135°

Step-by-step explanation:

That triangle in the corner is an right angle isosceles triangle as that line the midpoint of both sides :

the base angle of this triangle (x) will be :

180 = 90 + 2x

90 = 2x

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Angles on a straight line add up to 180. So to work out a :

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135 = a

Hope this helped and brainliest please

8 0
2 years ago
What is the answer to (6d+5)-(2-3d ) with work shown
kolezko [41]

Answer:

9d+3

Step-by-step explanation:

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6d+5-2+3d

9d+3

3 0
3 years ago
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