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lianna [129]
3 years ago
11

Solve the system for the value of x and y

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0

What is the system that you have to solve to find the value of x and y?

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If the people who didn't watch it still sent it
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A local hardware store sold 12 percent of its hammers on Saturday . If the hardware store sold 9 hammers on Saturday how many ha
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\frac{12}{100}=\frac{9}{x} Cross multiply

12x=900 Divide both sides by 12.

x=75 hammers to begin with.
7 0
3 years ago
Help me please? Thanks!
love history [14]

Answer:

It's C

Step-by-step explanation:


7 0
3 years ago
A new medical test provides a false positive result for hepatitis 2% of the time that is a perfectly healthy subject being teste
Oxana [17]
Given that X <span>be the number of subjects who test positive for the disease out of the 30 healthy subjects used for the test.

The probability of success, i.e. the probability that a healthy subject tests positive is given as 2% = 0.02


Part A:

</span><span>The probability that all 30 subjects will appropriately test as not being infected, that is the probability that none of the healthy subjects will test positive is given by:

</span>P(X)={ ^nC_xp^x(1-p)^{n-x}} \\  \\ P(0)={ ^{30}C_0(0.02)^0(1-0.02)^{30-0}} \\  \\ =1(1)(0.98)^{30}=0.5455
<span>

Part B:

The mean of a binomial distribution is given by

</span>\mu=np \\  \\ =30(0.02) \\  \\ =0.6
<span>
The standard deviation is given by:

</span>\sigma=\sqrt{np(1-p)} \\ \\ =\sqrt{30(0.02)(1-0.02)} \\ \\ =\sqrt{30(0.02)(0.98)}=\sqrt{0.588} \\  \\ =0.7668
<span>

Part C:

This test will not be a trusted test in the field of medicine as it has a standard deviation higher than the mean. The testing method will not be consistent in determining the infection of hepatitis.</span>
5 0
3 years ago
A person recently read that 84% of cat owners are women. How large a sample should the researcher take if she wishes to be 90% c
Lana71 [14]

Answer:

405

Step-by-step explanation:

To find sample size, use the following equation, where n = sample size, za/2 = the critical value, p = probability of success, q = probability of failure, and E = margin of error.

n=\frac{(z_{\frac{\alpha }{2} })^{2} *p*q  }{E^2}

The values that are given are p = 0.84 and E = 0.03.

You can solve for the critical value which is equal to the z-score of  (1 - confidence level)/2.  Use the calculator function of invNorm to find the z-score.  The value will given with a negative sign, but you can ignore that.

(1 - 0.9) = 0.1/2 = 0.05

invNorm(0.05, 0, 1) = 1.645

You can also solve for q which is 1 - p.  For this problem q = 1 - 0.84 = 0.16

Plug the values into the equation and solve for n.

n =\frac{(1.645)^2*0.84*0.16}{(0.03)^2}\\n= 404.0997333

Round up to the next number, giving you 405.

6 0
3 years ago
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