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2 years ago

+23-(-20)=43 how is that so?Explanation included

Mathematics

1 answer:

valina [46]2 years ago

7 0

Answer:

Well, when adding and subtracting negatives

You can change the symbol and positive or negative of the second number like

2 + (-1) is equal to 2 - 1

23 + 20 = 43

Therefore, 23 -(-23) = 43 because when you take away a debt you add to your balance.

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Juan bought a basketball for 40% off. If

Gre4nikov [31]

Answer: $73

Step-by-step explanation: 36 + 40 maybe

3 0

2 years ago

Read 2 more answers

U=1-3v/vt-w make t the subject

Jobisdone [24]

$u = 1 - \dfrac{3v}{vt-w}$

$\dfrac{3v}{vt-w} = 1 - u$

$3v = (1 - u)(vt - w)$

$3v = vt - w - uvt + wu$

$vt - uvt = 3v + w - wu$

$t(v - uv) = 3v + w - wu$

$t = \dfrac{3v + w - wu}{v - uv}$

8 0

3 years ago

(CO 3) On average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 6.1 inches. Find the probabi

ololo11 [35]

Answer:

C. Probability is 0.90, which is inconsistent with the Empirical Rule.

Step-by-step explanation:

We have been given that on average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 6.1 inches.

First of all, we will find z-score corresponding to 87.5 and 107.5 respectively as:

$z=\frac{x-\mu}{\sigma}$

$z=\frac{87.5-97.5}{6.1}$

$z=\frac{-10}{6.1}$

$z=-1.6393$

$z\approx-1.64$

$z=\frac{x-\mu}{\sigma}$

$z=\frac{107.5-97.5}{6.1}$

$z=\frac{10}{6.1}$

$z=1.6393$

$z\approx 1.64$

Now, we need to find the probability $P(-1.64$ .

Using property $P(a$ , we will get:

$P(-1.64$

From normal distribution table, we will get:

$P(-1.64$

Since the probability is 0.90, which is inconsistent with the Empirical Rule, therefore, option C is the correct choice.

6 0

3 years ago

Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op

Mashcka [7]

Answer:

a) P(X<50)=0.9827

b) P(X>47)=0.4321

c) P(-1.5<z<1.5)=0.8664

Step-by-step explanation:

We will calculate the probability based on a random sample of one moped out of the population, normally distributed with mean 46.7 and standard deviation 1.75.

a) This means we have to calculate P(x<50).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

$z=\dfrac{X-\mu}{\sigma}=\dfrac{50-46.7}{1.75}=\dfrac{3.7}{1.75}=2.114\\\\\\P(X$

b) We have to calculatee P(x>47).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

$z=\dfrac{X-\mu}{\sigma}=\dfrac{47-46.7}{1.75}=\dfrac{0.3}{1.75}=0.171\\\\\\P(X>47)=P(z>0.171)=0.4321$

c) If the value differs 1.5 standard deviations from the mean value, we have a z-score of z=1.5

$z=\dfrac{(\mu+1.5\sigma)-\mu}{\sigma}=\dfrac{1.5\sigma}{\sigma}=1.5$

So the probability that maximum speed differs from the mean value by at most 1.5 standard deviations is P(-1.5<z<1.5):

$P(-1.5$

3 0

3 years ago

Find f(-2) for f(x) = 3x2^x

Tanzania [10]

2^-2
Is 1/2^2=1/4
3 x 1/4 is 3/4
The answer is 3/4 I think

4 0

3 years ago

+23-(-20)=43 how is that so?Explanation included​

+23-(-20)=43 how is that so?Explanation included