All categories

3 years ago

For a population with u=100 and a=20, what is the z-score that corresponds to x=90?

1 answer:

max2010maxim [7]3 years ago

3 0

I guess that u = μ & that a=σ. If so:

μ =100 & that σ =20 & x=20

Z score = (x-μ) / σ ==> Z score = (90-100)/20 ==> Z = - 0.5

You might be interested in

2x-x+7 = x+3+4 is it no solution, one solution. or multiple solution if one of 2 please tell me what is x

ololo11 [35]

Answer:

x = x

Step-by-step explanation:

Basically, if you simplify the equation, you'll get x + 7 = x + 7 which means x = x which means you will have an infinite amount of solutions since x can be anything.

7 0

3 years ago

Lauren earned $84 in 8 hours

tatuchka [14]

Answer:

105

Step-by-step explanation:

You need to find the unit rate which is 10.50$. Then you would multiply it by 10.

7 0

2 years ago

Prove 11^10 - 1 is divisible by 100

Rom4ik [11]

<span>Assume 11^10 - 1 = 0 (mod 100) (i.e. 11^10 - 1 is divisible by 100). 11^10 - 1 = 0 (mod 100) 11^10 = 1 (mod 100) (11^2)^5 = 1 (mod 100) (121)^5 = 1 (mod 100) (21)^5 = 1 (mod 100) [the remainder of 121 divided by 100 is 21] (21^2)^2(21) = 1 (mod 100) (41)^2(21) = 1 (mod 100) 81(21) = 1 (mod 100) 1701 = 1 (mod 100) ∴ 11^10 - 1 is divisible by 100.</span>

8 0

3 years ago

Help me please need help

Inga [223]

Answer:

Step-by-step explanation:

1. x -> opposite side of 48°

o → hypotenuse

b → adjacent side of 48°

$\sf Sin \ 48^\circ = \dfrac{opposite \ side }{hypotenuse}\\\\\\0.7431 = \dfrac{15}{o}\\\\\\0.74 * o = 15\\\\\\ o = \dfrac{15}{0.74}\\\\\\$

o = 20.27

$\sf cos \ 48^\circ = \dfrac{adjacent \ side }{hypotenuse}\\\\\\0.67 =\dfrac{b}{o}\\\\\\0.67=\dfrac{b}{20.27}$

b = 0.67*20.27

b = 13.58

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

2) i → opposite side of 25°

n → adjacent side of 25°

$\sf Sin \ 25 =\dfrac{i}{t}\\\\\\0.42=\dfrac{i}{30}\\\\\\0.42*30=i$

i = 12.6

$\sf Cos \ 30^\circ =\dfrac{n}{t}\\\\0.91=\dfrac{n}{30}\\\\\\0.91*30 = n$

n = 27.3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

3) a → opposite side of 70°

e → adjacent side of 70°

$Sin \ 70^\circ =\dfrac{a}{l}\\\\0.94 =\dfrac{a}{25}\\\\0.94*25=a$

a = 23.5

$\sf Cos \ 70^\circ =\dfrac{e}{l}\\\\0.34=\dfrac{e}{25}\\\\0.34*25=e$

e = 8.5

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$\sf Sin \ 52^\circ = \dfrac{x}{75}\\\\0.79*75=x\\$

x = 59.25

$\sf Cos \ 52^\circ = \dfrac{z}{75}\\\\0.62*75 =z$

z = 46.5

8 0

2 years ago

Hey, can anyone help me with this? Okay, so in the equation 10 + 3x= -17 . The answer or (x) = -9 because you minus 10 on both s

Delvig [45]

Answer:

You do -17 + -10 inorder to change the operation used because both negatives does not mathematically look nice.

Step-by-step explanation:

To isolate the unknown, we need to move all the numbers on one side of the equal sign and all the unknow variables on one side.

Here we move 10 on the other side by taking away 10 both sides

10 + 3x = -17

-10 -10

then we are left with only 3x on one side and -27 on the other side because -17 - -10 = -27 , in this case it is acknowledge to change the operation from minus to add because the two minus are together, so we say -17 + -10 .

3x = -27

/3 /3

x = -9

6 0

3 years ago