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Evgesh-ka [11]
3 years ago
8

A state park has normally distributed daytime temperatures in the month of June. The mean temperature is 75F and the standard de

viation of 7F. What is the probability the temperature is above 82F?
Mathematics
1 answer:
IRISSAK [1]3 years ago
6 0

Answer:

0.1587 or 15.87%

Step-by-step explanation:

  • Standardize and find your Z value as: Z = (82-75)/7 = 1.00
  • Find in the Z score table the probability P( Z< 1.00), which is = 0.8413 = 84.13%
  • Compute the complementary as (1-P), which is = 1 - 0.8413 = 0.1587 = 15.87%
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A salesperson's weekly paycheck is 40% more than a second salesperson's paycheck. The two paychecks total $1075. Find the amount
BlackZzzverrR [31]
X is gonna be the normal paycheck

0.45x+x=1075

= 0.40x+x=1075

= 1.4x=1075

x= 1075/1.4

x=767.85   the normal paycheck price

1075.00-767.85= 307.15

so a saleperson weekly paycheck is 307.15 dollars more 

hope this helps





3 0
3 years ago
how do you solve a system of equations approximately given tables without using equations or graphing?
solong [7]

system of equations means that we have a given number of equations with the same solutions.

If you only have tables, this means that you need to have one table for each equation:

For example, if you are working only with two variables, x and y, in those tables you can see the pints (x, y) that belong to each equation.

Now, a point (x, y) will be a solution of the system of equations only if it belongs to the data table for each equation

This would mean that if you graph those data sets, the graphs will intersect at the point (x, y) that belongs to all the tables of data.

another way may be using the data in the tables to construct the equations, but you said that you only want to use the tables, so this method can be discarded.

7 0
3 years ago
If a car uses one gallon of gas every 25 miles how much miles would he make with 8 gallons
FrozenT [24]

Step-by-step explanation:

One gallon = 25 miles

8 gallon= 25×8 miles= 200 miles

4 0
3 years ago
Use the following information for problems 1 – 3. Suppose you sign a contract for an annual salary of $50,000 with a guaranteed
erik [133]

Initial salary =  $50,000 .

Rate of raise = 5% each year.

Therefore, each next year salary would be 105% that is 1.05 times.

5% of 50,000 = 0.05 × 50000 = 2500.

Therefore raise is $2500 each year.

According to geometric sequence first term 50000 and common ratio 1.05.

Applying geometric sequence formula

a_n = ar^{n-1}

1) a_n = 50000(1.05)^{n-1}

2) In order to find salary in 5 years we need to plug n=5, we get

a_5 = 50000(1.05)^{5-1}= 50000(1.05)^4

= 50000(1.21550625)

<h3>=$60775.3125.</h3>

3) In order to find the total salary in 10 years we need to apply sum of 10 terms formula of a geometric sequence.

S_n = \frac{a(1-r^n}{1-r}

Plugging n=10, a = 50000 and r= 1.05.

S_10 = \frac{50000(1-(1.05)^{10}}{1-1.05}

S_10 = \frac{50000(0.050)^{10}}{0.05}

= 628894.62678.

<h3>Therefore , you will have earned $ 628894.62678 in total salary by the end of your 10th year.</h3>



7 0
3 years ago
Find the sum of 160,-125, and 40.
djyliett [7]

The answer is;

160 + (-125) + 40 = 75

<u>75</u>

7 0
4 years ago
Read 2 more answers
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