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dusya [7]
3 years ago
5

Pls helpp me with this :(

Mathematics
1 answer:
sladkih [1.3K]3 years ago
8 0

Answer:

  • a) y = 3/4x - 8
  • b) y = 1/7x + 7
  • c) y = -5/7x - 3
  • d) y = x + 8

Step-by-step explanation:

<u>Converting the equations from standard to slope-intercept form</u>

a)

  • 3x - 4y = 32
  • 4y = 3x - 32
  • y = 3/4x - 8

b)

  • x - 7y = -49
  • 7y = x + 49
  • y = 1/7x + 7

c)

  • 5x + 7y = -21
  • 7y = -5x - 21
  • y = -5/7x - 3

d)

  • x - y = -8
  • y = x + 8
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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
A department store sells a pair of shoes with an 87% markup. If the store-bought
Reika [66]

Answer:

Step-by-step explanation:

55.25x.87=48.07

55.25+48.07=103.32

6 0
2 years ago
Harrison ordered 6 cases of pickles for his restaurants. Each case contained p jars of pickles. Harrison delivered an equal numb
kogti [31]

Answer:

B. 6p/7

Step-by-step explanation:

6p = the total amount of pickles

The problem says that he distributes them evenly to 7 restaurants, so that's dividing.

So your answer is 6p/7

3 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%7B7%7D%5E%7B2x%20%2B%203%7D%20%20%3D%201" id="TexFormula1" title=" {7}^{2x + 3} = 1" alt=
Lelechka [254]

Answer:

x = -3/2

Step-by-step explanation:

7⁰ = 1 (anything to the power of 0 equals 1)

7²ˣ ⁺ ³ = 7⁰

Since the bases are the same, you 'forget' about the bases and then you solve for x.

2x + 3 = 0

2x = -3

x = -3/2

7 0
3 years ago
Help me with this please
Rufina [12.5K]

Answer: (2,7)

Midpoint formula = (\frac{x1+x2}{2} , \frac{y1+y2}{2})

1 + 3 / 2 = 2

5 + 9 / 2 = 7

3 0
2 years ago
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