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3 years ago

What is the inverse of the conditional statement “If a number is divisible by 6, then it is divisible by 3”?

Mathematics

2 answers:

Lapatulllka [165]3 years ago

6 0

If a number is not divisible by 6, then it is not divisible by 3. That is your answer.
Hope this helps

Kipish [7]3 years ago

5 0

<span>If a number is divisible by 6, then it is divisible by 3. Like 6x3=12
6 divided by is 2
Hope this helped!!!!!</span>

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Help with this I don't know how to solve please please please!!

likoan [24]

Answer:

212.5

Step-by-step explanation:

Here's a theorem about triangle areas.

If two similar triangles have sides in the ratio x:y,

then their areas are in the ratio x2:y2

The triangles have sides in the ratio:

LP/LN = 10/25

The two triangles have areas in the ratio 100:625 (4/25)

For every 4 in the small triangle, there are 25 in the larger triangle.

34/4 = 8.5

25 times 8.5 =212.5

6 0

3 years ago

for a scale drawing of a bathroom, 1/4 inch represents the actual length of 1 ft., if the bathroom measures 1 1/2 inches by 2 in

mrs_skeptik [129]

Answer:

6ft by 8ft

Step-by-step explanation:

1/4 inch = 1 ft

1 1/2 inches has six 1/4 inches

6 times 1 = 6ft

2 inches has eight 1/4 inches

8 times 1 - 8 ft

so its 6ft by 8ft

4 0

3 years ago

if a staircase rises 52° from the ground and a vertical distance of 12 yards. How much horizontal distance does the staircase co

3241004551 [841]

The horizontal distance will be found using the formula:
tan θ= opposite/adjacent
given that θ=52°
opposite= 12 yards
adjacent=x
hence
tan 52=12/x
x=12/tan 52
x=9.3754
the height is 9.375 yards

3 0

3 years ago

suppose X and Y are independent random variables, both with normal distributions. If X has a mean of 45 with a standard deviatio

djyliett [7]

Answer:

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

$\mu_X = 45, \sigma_X = 4, \mu_Y = 35, \sigma_Y = 3$

What is the probability that a randomly generated value of X is greater than a randomly generated value of Y

This means that the subtraction of X by Y has to be positive.

When we subtract two normal variables, the mean is the subtraction of their means, and the standard deviation is the square root of the sum of their variances. So

$\mu = \mu_X - \mu_Y = 45 - 35 = 0$