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lara [203]
2 years ago
13

Problem A fruit stand has to decide what to charge for their produce. They need \$10$10dollar sign, 10 for 444 apples and 444 or

anges. They also need \$12$12dollar sign, 12 for 666 apples and 666 oranges. We put this information into a system of linear equations.
Mathematics
2 answers:
sergejj [24]2 years ago
7 0

Answer:

No Solution

Step-by-step explanation:

It would require different amounts of dollars to fulfill eah equation.

andre [41]2 years ago
5 0

Answer:

4a + 4b = 10

6a + 6b = 12

Step-by-step explanation:

Putting the equation in a system of linear equation :

We donate, apples and oranges using any preffered letter or alphabet

Let :

Apples = a ; oranges = b

4 apples and 4 oranges equals $10

4a + 4b = 10

6 Apples and 6 oranges equals $12

6a + 6b = 12

Hence, the system of linear equation :

4a + 4b = 10

6a + 6b = 12

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Scott likes to run long distances. He can run 20 km in 85 minutes. He wants to know how many minutes (m) it will take him to run
gtnhenbr [62]
You wanna 
divide 85 and 52 
because he can run 20 KM in 85 min 
and he wants to see how long it takes him to run 52 KM
So the first one is correct
4 0
2 years ago
Simplify x + 2/ x^2 - 6x - 16 divided by 1/9x
djverab [1.8K]
Hello there!

Simplify the expression
9/x(x - 8)

Hope this helps! :)
~Zain
7 0
2 years ago
preliminary sample of 100 labourers was selected from a population of 5000 labourers by simple random sampling. It was found tha
VladimirAG [237]

Answer:

n=\frac{0.4(1-0.4)}{(\frac{0.05}{1.96})^2}=368.79  

n=369

Step-by-step explanation:

1) Notation and definitions

X=40 number of the selected labourers opt for a new incentive scheme.

n=100 random sample taken

\hat p=\frac{40}{100}=0.4 estimated proportion of the selected labourers opt for a new incentive scheme.

p true population proportion of the selected labourers opt for a new incentive scheme.

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

2) Solution tot he problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.05 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.4(1-0.4)}{(\frac{0.05}{1.96})^2}=368.79  

And rounded up we have that n=369

8 0
1 year ago
The shape below is constructed from six squares, and the lengths of the sides of the three smallest squares are written inside o
Maurinko [17]

Answer:

78

Step-by-step explanation:

Smallest square: 1

Small Square: 2, Area of 4

Mid Square: 3, Area of 9

Mid White Square: 5, Area of 25

Big Square: 8, Area of 64

1 + 4 + 9 + 64 = 78

5 0
2 years ago
Which statements are true of the function f(x) = 3(2.5)x? Check all that apply.
Neporo4naja [7]
For this case we have a function of the form:
 y = A * (b) ^ x

 Where,
 A: initial amount
 b: growth rate (for b> 1)
 x: independent variable
 y: dependent variable
 We then have the following function:
 f (x) = 3 (2.5) ^ x

 Using the definition, the following statements are correct:
 1) The function is exponential
 2) The function increases by a factor of 2.5 for each unit increase in x
 3) The domain of the function is all real numbers
8 0
2 years ago
Read 2 more answers
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