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2 years ago

Integrating exponential functions

Mathematics

1 answer:

Vesnalui [34]2 years ago

7 0

Answer: what’s the question?

Step-by-step explanation:

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Calculate the value of the expression 18/-3

alexgriva [62]

Answer:

-6

Step-by-step explanation:

Any number that is divided by a negative number is a negative number as an answer which is -6.

7 0

3 years ago

Read 2 more answers

The sum of two numbers is twenty-four. The difference of the two numbers is four.

RSB [31]

Answer:

$x + y = 24$

$x - y = 4$

Now, add these two equations.

You get,

$2x = 28$

$x = \frac{28}{2}$

$x = 14$

Given,

$x + y = 24$

$14 + y = 24$

$y = 24 - 14$

$y = 10$

You can test this to the other equation as well.

$x - y = 4$

$14 - 10 = 4$

Hence, the two numbers are 14 and 10.

3 0

2 years ago

Use the triangle below and the given trigonometric ratio to determine which angle in the triangle below is

4vir4ik [10]

Cosine is the ratio of the adjacent side to the hypotenuse.

In short, we have this equation
cos(angle) = adjacent/hypotenuse

In the case of cos(A) = 18/19.5 we can see that
adjacent = 18
hypotenuse = 19.5

The side of 18 cm is next to angle 2, so the 18 cm side is adjacent to angle 2 (in contrast, the 7.5 cm side is the opposite leg in relation to angle 2)

So that's why the answer is angle 2
In other words, replace the '2' angle marker with 'A' to be able to write cos(A) = 18/19.5

7 0

3 years ago

Can 3 and 3/5 also be rewritten as 3 and 15/20?

mario62 [17]

No,because your supposed to multiply it by the same number.

7 0

3 years ago

Read 2 more answers

A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the res

Alexus [3.1K]

Answer:

Step-by-step explanation:

Hello!

So you have a new type of shoe that lasts presumably longer than the ones that are on the market. So your study variable is:

X: "Lifetime of one shoe pair of the new model"

Applying CLT:

X[bar]≈N(μ;σ²/n)

Known values:

n= 30 shoe pairs

x[bar]: 17 months

S= 5.5 months

Since you have to prove whether the new shoes last more or less than the old ones your statistical hypothesis are:

H₀:μ=15

H₁:μ≠15

The significance level for the test is given: α: 0.05

Your critical region will be two-tailed:

$Z_{\alpha /2} = Z_{0.025}= -1.96$

$Z_{1-\alpha /2} = Z_{0.975}= 1.96$

So you'll reject the null Hypothesis if your calculated value is ≤-1.96 or if it is ≥1.96

Now you calculate your observed Z-value

Z=<u>x[bar]-μ</u> ⇒ Z=<u> 17-15 </u> = 1.99

σ/√n 5.5/√30

Since this value is greater than the right critical value, i.e. Zobs(1.99)>1.96 you reject the null Hypothesis. So the average durability of the new shoe model is different than 15 months.

I hope you have a SUPER day!

5 0

3 years ago