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viva [34]
3 years ago
12

Solve for x. −1/3x≤−6

Mathematics
1 answer:
Olin [163]3 years ago
7 0
-1/3x</= -6
/-1/3      /-1/3
x</= +2
x>/=+2     
The sign changes because you are dividing by a -
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3. The angle measures of a triangle are shown in the diagram below.<br><br> What is the value of x?
Karo-lina-s [1.5K]

Answer:x = 5

Step-by-step explanation:6 x 5 = 30 and 11 x 5 = 55 + 5 = 60 and we know that the other angle = 90. So, 90 + 30 + 60 = 180. So our answer is x = 5

6 0
3 years ago
What is the perimeter of a square which has the same area as a circle with circumference of 4π?
enot [183]

Answer:

perimeter = 8\sqrt{\pi }

Step-by-step explanation:

We require to calculate the area (A) of the circle

A = πr² ← r is the radius

circumference = 4π = 2πr, hence

2πr = 4π ( divide both sides by 2π )

r = 2, hence

A = π × 4 = 4π

The area of the square is therefore 4π and area = s² ← s is the side length

s² = 4π ( take the square root of both sides )

s = \sqrt{4\pi } = 2\sqrt{\pi }, hence

perimeter = 4 × 2\sqrt{\pi } = 8\sqrt{\pi }



8 0
3 years ago
About % of the area under the curve of the standard normal distribution is between z = − 0.9 z = - 0.9 and z = 0.9 z = 0.9 (or w
prisoha [69]

Using the normal distribution, it is found that 63.18% of the area under the curve of the standard normal distribution is between z = − 0.9 z = - 0.9.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The area within 0.9 standard deviations of the mean is the <u>p-value of Z = 0.9(0.8159) subtracted by the p-value of Z = -0.9(0.1841)</u>, hence:

0.8159 - 0.1841 = 0.6318 = 63.18%.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

3 0
2 years ago
Find the distance between the following points (-2,4) (3,2)
galina1969 [7]

Answer:

https://www.mathwarehouse.com/calculators/distance-formula-calculator.php?x1=-2&y1=.4&x2=3&y2=2

Step-by-step explanation:

8 0
3 years ago
19810 rounded to the nearest hundred
Cloud [144]
19,810 rounded to the nearest hundred is 19,800.
8 is in the hundreds place, and the number 1 is in front of it.
 
Numbers 1-4 in front of the number make the number stay the same.

Numbers 5-9 in front of the number make the numbers round up one number.
3 0
3 years ago
Read 2 more answers
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