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3 years ago

Voltage = 18v. Current = 36 amps resistance =?

Mathematics

1 answer:

kupik [55]3 years ago

8 0

Voltage= Current * Resistance
Plug in your values and solve for 'x' or resistance

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Three friends are training for a race. Last week, Jacquis ran 3 more miles than Ellen. Miryana ran 1.5 miles as far as Jacquis.

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ellen ran 2.5 miles last week

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3 years ago

What is 2 divided by 1/12

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The answer is 4. You take 2 and divide it by 0.5.

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The 3rd term of (a-b)4 is

fgiga [73]

The third term of the expansion is 6a^2b^2

<h3>How to determine the third term of the expansion?</h3>

The binomial term is given as

(a - b)^4

The r-th term of the expansion is calculated using

r-th term = C(n, r - 1) * x^(n - r + 1) * y^(r - 1)

So, we have

3rd term = C(4, 3 - 1) * (a)^(4 - 3 + 1) * (-b)^(3-1)

Evaluate the sum and the difference

3rd term = C(4, 2) * (a)^2 * (-b)^2

Evaluate the exponents

3rd term = C(4, 2) * a^2b^2

Evaluate the combination expression

3rd term = 6 * a^2b^2

Evaluate the product

3rd term = 6a^2b^2

Hence, the third term of the expansion is 6a^2b^2

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4 0

1 year ago

Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 133 to 193 cm and

yawa3891 [41]

Answer:

The weight of an adult male who is 172 cm tall is 89.36 kg.

Step-by-step explanation:

The regression equation representing the relationship between height and weight of a person is:

$\hat y=-105+1.13x$

Here

y = weight of a person

x = height of a person

The information provided is:

$\bar x=167.90\ cm\\\bar y=81.47\ kg\\r (X, Y) = 0.228\\p-value=0.023\\\alpha =0.05$

The hypothesis to test the significance of the correlation between height and weight is:

H₀: There is no relationship between the height and weight, i.e. ρ = 0.

Hₐ: There is a relationship between the height and weight, i.e. ρ ≠ 0.

Decision rule:

If the p-value of the test is less than the significance level, then the null hypothesis will be rejected and vice-versa.

According to information provided:

p-value = 0.023 < α = 0.05

The null hypothesis was rejected at 5% level of significance.

Thus, concluding that there is a relationship between the height and weight.

Compute the weight of an adult male with height, x = 172 cm as follows:

$\hat y=-105+1.13x$

$=-105+(1.13\times 172)\\=-105+194.36\\=89.36$

Thus, the weight of an adult male who is 172 cm tall is 89.36 kg.

5 0

3 years ago