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Sveta_85 [38]
3 years ago
9

)Why is 3 + (−5) equal to −2?

Mathematics
1 answer:
netineya [11]3 years ago
7 0
Because + and - make - which makes you left with 3-5 which equals to -2 because it gets negative.
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The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4016
hodyreva [135]

Answer:

Required Probability = 0.97062

Step-by-step explanation:

We are given that the weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4016 grams and a standard deviation of 532 grams.

Let X = weight of the newborn baby, so X ~ N(\mu=4016 , \sigma^{2} = 532^{2})

The standard normal z distribution is given by;

              Z = \frac{X-\mu}{\sigma} ~ N(0,1)

Now, probability that the weight will be less than 5026 grams = P(X < 5026)

P(X < 5026) = P( \frac{X-\mu}{\sigma} < \frac{5026-4016}{532} ) = P(Z < 1.89) = 0.97062

Therefore, the probability that the weight will be less than 5026 grams is 0.97062 .

5 0
3 years ago
Mike has 21 pounds of tomatoes and 9 pounds of mixed peppers from his garden that he will use to make sals.
Grace [21]

The number of batches of salsa that can be made = x = 6 batches

The number of bat  tomato sauce that can be made = y = 3 batches

Step-by-step explanation:

We are given the system of equations:

x+5y=21\\x+y=9

where variable x represents the number of batches of salsa that can be made and y represents the number of bat  tomato sauce that can be made.

We need to solve the systems to find the values of x and y.

Let:

x+5y=21\,\,\,eq(1)\\x+y=9\,\,\,eq(2)

Subtract both equations:

x+5y=21\\x+y=9\\-\,\,\,-\,\,\,\,\,\,-\\------\\4y=12\\y=\frac{12}{4}\\y=3

So, value of y=3

Putting value of y in eq(2) and finding value of x:

x+y=9\\x+3=9\\x=9-3\\x=6

So, value of x=6

The number of batches of salsa that can be made = x = 6 batches

The number of bat  tomato sauce that can be made = y = 3 batches

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

6 0
3 years ago
Read 2 more answers
A jeweler wants to minimize business costs and has found that the average cost in dollars per necklace is given by C(x)=0.5x^2-7
Vika [28.1K]

Answer:

The maximum cost is 41 dollars per necklace.

Step-by-step explanation:

The average cost in dollars/necklace is given by :

C(x)=0.5x^2-7x+65.5  .....(1)

Where

x is the number of necklaces that are created

To maximize the cost, find the value of x by putting dC/dx = 0

\dfrac{d}{dx}(0.5x^2-7x+65.5)=0\\\\x-7=0\\\\x=7

Now put the value of x = 7 in equation (1).

C(x)=0.5(7)^2-7(7)+65.5\\\\=41\ \text{dollars per necklace}

Hence, the maximum cost is 41 dollars per necklace.

8 0
2 years ago
What is 15/4 as a mixed number?
max2010maxim [7]
It would be: 15/4 = 3 3/4

In short, Your Answer would be 3 3/4

Hope this helps!
8 0
3 years ago
Determine the value of x and y in the following systems of equations5x-2y=4 ; -2x+y=2.
V125BC [204]

Answer:(x,y)=(8,18)

Step-by-step explanation:

Given

5x-2y=4-------1

Second Equation

-2x+y=2-----2

Now multiply equation 2 by 2 and it to equation 1

5x-4x+0=8

x=8

substitute it in equation 1

5\times 8-2\times y=4

36=2y

y=18

Therefore

(x,y)=(8,18)

7 0
3 years ago
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