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Margaret [11]
4 years ago
5

Solve for z: 15 = -45 + z Z=?

Mathematics
2 answers:
Kay [80]4 years ago
6 0

Answer: <em>z = 60</em>

Explanation: To solve the equation 15 = -45 + z, notice that the variable is on the right side of the equation. Don't let this throw you off.

To solve for <em>z</em>, we need to get <em>z</em> by itself on

the right side of the equation by adding 45.

However, if we add 45 to the right side of the equation,

we also must add 45 to the left side of the equation.

On the right, the -45 and 35 cancel each other out and we have <em>z </em>and on the left side of the equation, 15 + 45 is 60.

So we have <em>z = 60</em> which is

the solution to our equation.

monitta4 years ago
5 0

15 = -45 + z

Bring 45 to the other side by adding it to both sides.

15 + 45 = 60

60 = z

z = 60

Therefore, the value of z is 60.

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Suppose we know that the birth weight of babies is Normally distributed with a mean 3500g and a standard deviation of 500g. What
Temka [501]

Answer:

0.21186

Step-by-step explanation:

We solve the above question using the z score formula.

z = (x-μ)/σ, where

x is the raw score = 3100g

μ is the population mean = 3500g

σ is the population standard deviation = 500g

z = 3100 - 3500/500

z = -0.8

Probability value from Z-Table:

P(x<3100) = 0.21186

The probability that a baby is born that weighs less than 3100g is 0.21186

7 0
3 years ago
Y = 0.115x + 0.0045 , y = 0.499x – 0.22<br> solve for x
enyata [817]

Answer:

x=0.5612

Step-by-step explanation:

-Given the functions:

y=0.115x+0.0045\ \ \ \ ...i\\\\y=0.499x-0.22\ \ \ \ \ ...ii

We subtract equation i from ii to eliminate y and solve for x:

ii-i\\\\0=0.384x-0.2155\\\\0.384x=0.2155\\\\x=0.5612

Hence, the value of x is 0.5612

6 0
3 years ago
Find the simple interest paid for 7 years on a $600 loan at 5% per year.
aksik [14]

Answer:

Step-by-step explanation:

200

3 0
2 years ago
Between which two consecutive integers does the square root of 830 lie ​
vodomira [7]

28^2=784

29^2=841

784<830<841

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therefore 28<sqrt830<29

Done!

8 0
3 years ago
Select True or false for each statement
PilotLPTM [1.2K]

Answer:

False

True

False

False

Step-by-step explanation:

1. We have to get the sum as follows :

3\frac{4}{9} + 4\frac{6}{9}

= \frac{31}{9} + \frac{42}{9}

= \frac{31 + 42}{9}

= \frac{73}{9}

= 8\frac{1}{9} \neq  7\frac{1}{9}

So, this is false.

2. We have to get the sum as follows :

4\frac{5}{6} + 1\frac{3}{6}

= \frac{29}{6} + \frac{9}{6}

= \frac{29 + 9}{6}

= \frac{38}{6}

= 6\frac{2}{6}

So, this is true.

3. We have to get the difference as follows :

4\frac{5}{8} - 2\frac{4}{8}

= \frac{37}{8} - \frac{20}{8}

= \frac{37 - 20}{8}

= \frac{17}{8}

= 2\frac{1}{8} \neq  2\frac{3}{8}

So, this is false.

4. We have to get the difference as follows :

7\frac{5}{8} - 4\frac{2}{8}

= \frac{61}{8} - \frac{34}{8}

= \frac{61 - 34}{8}

= \frac{27}{8}

= 3\frac{3}{8} \neq   3

So, this is also false. (Answer)

5 0
4 years ago
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