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pshichka [43]
4 years ago
13

Solve for z in a=x+z

Mathematics
1 answer:
mina [271]4 years ago
3 0
A= x+z  .... -x from each side and you gots a-x=z
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The population mean and standard deviation are given below. Find the required probability and determine whether the given sample
nataly862011 [7]

The probability of the sample is 0.5 or 50%

<u>Explanation:</u>

Given:

Mean, μ = 20

Standard deviation, δ = 1.3

Probability of sample being less than 20.1 = ?

P (x < 20.1) = 20.1 - μ / δ √n

P (x < 20.1) = \frac{20.1 - 20}{1.3\sqrt{61} }

                  = 0.0098

P( x < 20.1) = P(z < 0.0098)

P (z < 0.0098) = 0.5

The value of P is found out using a z score table.

Therefore, probability of the sample is 0.5 or 50%

7 0
3 years ago
Convert 5/6 into a decimal using long division
Artyom0805 [142]

$\frac{5}{6} = 0.8333....

<u>Step-by-step explanation:</u>

Here 6 is the divisor and 5 is the dividend, and 5 is lesser than 6, so in the quotient we have to put 0 then a decimal point and 0 along with 5, so the dividend becomes 50, 8 times 6 is 48, 50 - 48 = 2, then add one more 0 with 2, so it becomes 20, 3 times 6 is 18 again, 2 is the remainder and this process is going on. So the quotient is 0.8333...

So $\frac{5}{6} = 0.8333....    

6 0
3 years ago
Angle AOC and angle BOD are vertical angles. If m∠AOC = (4x + 40)° and m∠BOD = 120°, which equation could be used to solve for x
puteri [66]

Answer:

4x+40=120

Step-by-step explanation:

Vertical angles are congruent so you would set them equal to each other.

3 0
4 years ago
Y=-|x-2|<br> Please help me
liq [111]

Answer:

y = -|x-2| (*)

2 cases:

case 1: for x≥2 <=> |x-2| = x-2

(*) <=> y = - (x-2)

<=> y = -x+2

<=> x+y = 2

case 2: for x>2 <=> |x-2| = 2-x

(*) <=> y = -(2-x)

<=> y = x-2

<=> x-y = 2

since there are 2 variables but just one equation, we cannot find the exact values of x and y. Instead, we can find some kind of connection between them.

5 0
4 years ago
A watch company is developing packaging for its new watch. The designer uses hexagons with a base area of 25 in squared and rect
WARRIOR [948]

Answer:

The volume of the prototype is V=250\ in^{3}

Step-by-step explanation:

we know that

The volume of a hexagonal prism is equal to

V=BH

where

B is the area of the hexagonal base

H is the length of the rectangular face

we have

B=25\ in^{2}

H=10\ in

substitute

V=(25)(10)

V=250\ in^{3}

7 0
3 years ago
Read 2 more answers
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