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sp2606 [1]
3 years ago
6

Solve -2.5n + 8.7 > 5.45.

Mathematics
1 answer:
sp2606 [1]3 years ago
6 0

Answer:

Solved for n: <em>n</em> < 1.3

Step-by-step explanation:

Are there answer choices included?

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The measures of two sides of a triangle are 4in and 13in. Find all possible values that the third side of this triangle can be?
ElenaW [278]

Answer:

9 < x < 17 is the possible length of the third side of a triangle.

Step-by-step explanation:

The Triangle Inequality theorem defines that if we are given two sides of a triangle, the sum of any two given sides of a triangle must be greater than the measure of the 3rd side.

Given the two sides of the triangle

  • 4 in
  • 13 in

Let 'x' be the length of 3rd size.

According to the Triangle Inequality theorem,

The difference of two sides < x < The sum of two sides

13 - 4 < x < 13+4

9 < x < 17

Therefore, 9 < x < 17 is the possible length of the third side of a triangle.

5 0
3 years ago
2. If m &lt;1 = 43, what is m &lt;4?
Alex17521 [72]
I do need help please
6 0
4 years ago
How can I turn -4/slope ,0/y-intercept into a slope intercept form equation
Rainbow [258]

Answer:

y = - 4x

Step-by-step explanation:

Here, it is given that the slope of a line is - 4 and the y-intercept is 0.

Now, if the slope of a straight line is m and the y-axis intercept is c, the by slope-intercept form the equation of the straight line is given as  

y = mx + c ......... (1)

Therefore, in our case m = - 4 and c = 0 and using equation (1), the equation of the given straight line is  

y = - 4x (Answer)

4 0
3 years ago
Which function is the inverse of f(x) = -5x- 4?
almond37 [142]

Answer:

Inverse of  - 5 x - 4 = \frac{x + 4}{5}

Step-by-step explanation:

Let y = -5x-4

Swap y and x

x = -5y -4

Solve for y

x+4 = -5y

y=- \frac{x + 4}{5}  which is the inverse

3 0
2 years ago
The feet of the average adult woman are 24.6 cm long, and foot lengths are normally distributed. If 16% of adult women have feet
nevsk [136]

Answer:

Approximately 16% of adult women have feet longer than 27.2 cm.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

The feet of the average adult woman are 24.6 cm long

This means that \mu = 24.6

16% of adult women have feet that are shorter than 22 cm

This means that when X = 22, Z has a p-value of 0.16, so when X = 22, Z = -1. We use this to find \sigma

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

-1 = \frac{22 - 24.6}{\sigma}

-\sigma = -2.6

\sigma = 2.6

Approximately what percent of adult women have feet longer than 27.2 cm?

The proportion is 1 subtracted by the p-value of Z when X = 27.2. So

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

Z = \frac{27.2 - 24.6}{2.6}

Z = 1

Z = 1 has a p-value of 0.84.

1 - 0.84 = 0.16

0.16*100% = 16%.

Approximately 16% of adult women have feet longer than 27.2 cm.

3 0
3 years ago
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