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AfilCa [17]
3 years ago
14

The sum of two numbers is -9. The difference of the two numbers is -41. What are the two numbers?

Mathematics
1 answer:
Nataly [62]3 years ago
6 0

Answer:

the two numbers are 16 and -25

Step-by-step explanation:

Let the two numbers be x and y

x+y=-9

x-y=-41

By substitution

y=-9-x

x-(-9-x)=-41

x+9+x=-41

2x=-41-9

2x=-50

x=-25

y=-9-(-25)

y=16

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1000000 x 0.3=? ready
svlad2 [7]

Answer:

300000

Step-by-step explanation:

Three hundred thousand

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2 years ago
If the probability of getting an odd number is 5/10 on a game spinner, the numerator of that probability is:
Rama09 [41]

Answer: the number of favorable outcomes

Step-by-step explanation:

It says it on Apex

8 0
3 years ago
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a machinist can produce 114 Parts in 6 minutes at this rate how many parts can the machinist is produce in 15 minutes
tigry1 [53]
114/6=x/15
6x=1710
x=285 parts
4 0
2 years ago
Final exam scores are normally distributed with a mean of 74 and a standard deviation of 6. Approximately, what percentage of fi
notka56 [123]

Answer:

81.86%

Step-by-step explanation:

We have been given that final exam scores are normally distributed with a mean of 74 and a standard deviation of 6.

First of all we will find z-score using z-score formula.

z=\frac{x-\mu}{\sigma}

z=\frac{68-74}{6}

z=\frac{-6}{6}=-1

Now let us find z-score for 86.

z=\frac{86-74}{6}    

z=\frac{12}{6}=2        

Now we will find P(-1<Z) which is probability that a random score would be greater than 68. We will find P(2>Z) which is probability that a random score would be less than 86.

Using normal distribution table we will get,    

P(-1

P(2>Z)=.97725  

We will use formula P(a to find the probability to find that a normal variable lies between two values.

Upon substituting our given values in above formula we will get,

P(-1

P(-1

Upon converting 0.81859 to percentage we will get

0.81859*100=81.859\approx 81.86

Therefore, 81.86% of final exam score will be between 68 and 86.  


3 0
3 years ago
The price of products may increase due to inflation and decrease due to depreciation. Derek is studying the change in the price
iren [92.7K]
Part A.

1) Function given:

f(x)=0.69(1.03)^x

2) Interpretation:

initial value: => x = 0 => f(x) = 0.69

table:

x                f(x)
year          price

0              0.69

1             0.69 * 1.03 = 0.7107 => increase = 3%

2             0.69 * (1.03)^2 = 0.732021 => increase = 3%

So, the answer is that the function is increasing at 3% per year.

Part B.

3) table

<span> t (number of years)      1             2              3                  4
f(t) (price in dollars)     10,100    10,201     10,303.01   10,406.04

Percent change:

Year 2: 10,201 / 10,100 = 1.01 => 1% increase

Year 3: 10,303.01 / 10,201 = 1.01 => 1% increase

Year 4: 10,406.04 / 10,303.01 = 1.01 => 1% increase.

Answer: the </span><span>product of the part A recorded a greater percentage change in price over the previous year (3% vs 1%).</span>
5 0
3 years ago
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