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Triss [41]
2 years ago
8

Q5. Solve for x and y using elimination method.10x +3y = 75, 6x - 5y = 11​

Mathematics
1 answer:
sleet_krkn [62]2 years ago
8 0

Answer:

16x - 2y = 86

Step-by-step explanation:

10x + 3y = 75

+ 6x - 5y = 11

=

16x -2y =86

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A school is organizing a cookout where hotdogs will be served. The hotdogs come in small packs and large packs. Each small pack
katen-ka-za [31]

Answer:

S+L=6

10S+18L=76

Step-by-step explanation:

S for small

L for larger

4 0
3 years ago
If a gallon of milk costs $5.25 now and the price is
adelina 88 [10]

Answer: It will take approximately 21 years.

Step-by-step explanation:

6 percent of 5.25 is 0.315 (5.25 x 0.06 = 0.315)

Then you subtract 5.25 from 12 to calculate the number of years. (12 - 5.25 = 6.75)

Divide 0.315 from 6.75 (6.75 / 0.315 ≈ 21.4)

5 0
3 years ago
If we change one side of a square by factor of 5, of 0.5, of 12 and of 1 12 , by what factor will the perimeter change?
ICE Princess25 [194]
The perimeter will change by the same factor  Answer
7 0
3 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
3 years ago
The triangle below is equilateral. Find the length of side <br> x<br> x to the nearest tenth.
leonid [27]

Step-by-step explanation:

it's an equilateral triangle so all sides are equal

using Pythagorean theorem

2(√6) raised to the power of 2 = √6 raised to the power of 2 + x raised to the power of 2

2(√6) raised to the power of 2 is 12

√6 raised to the power of 2 is 6

therefore 12=6 + x

x = 12-6

x=6

6 0
2 years ago
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