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LuckyWell [14K]
3 years ago
11

A triangle has an area of 221.16 in.² the height of the triangle is 29.1 inches what is the length of the base of the triangle

Mathematics
1 answer:
Zigmanuir [339]3 years ago
7 0
The formula you should use is Area = 1/2bh, in other words, area equals half times base times height. Now, substitute everything in, the equation should now be 221.16 = 1/2*b*29.1. This simplifies into 221.16 = 14.55b, now divide 14.55 on both sides, which leaves us to 15.2 = b. However, don't forget the units, which the answer (length of base) should be 15.2 in.^2.
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Alisiya [41]

Answer:

x = 32

Step-by-step explanation:

Using the Secant and Tangent Intersection Theorem we can say;

(x + 18) (18) = 30²

18x + 324 = 900

18x = 576

x = 32

Hope this helps!

5 0
3 years ago
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Write an equation that shows the relationship 40% of 140 is x
uranmaximum [27]

Answer:

x=140times0.4

Step-by-step explanation:

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3 years ago
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Rasek [7]

Answer:

A. 64/125

B. 124/125.

Step-by-step explanation:

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Prob(All seeds germinate) = 4/5*4/5*4/5 =  64/125.

B). Probability of at least one germinating =  1 - probability that none germinate

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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>
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3 years ago
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