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Kobotan [32]
3 years ago
5

The area between z=0 and z=1 under the standard normal curve is ?

Mathematics
1 answer:
Alex17521 [72]3 years ago
7 0

According to the Empirical Rule, 68% of data lies within 1 std. dev. of the mean. Thus, between z=0 and z=1 lie half of that, or 34%, of the data.


Using a calculator for a more precise answer:


normalcdf(0,1) = 0.3413 (answer)

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Write an equation in slope-intercept form for the line that passes through the point (-8, 2) and is perpendicular to the line y
tamaranim1 [39]

Answer:

y = -5x/4 - 8

Step-by-step explanation:

Two lines that are perpendicular have slopes that are opposite reciprocals.

Since the slope of the given line is 4/5, the opposite reciprocal of that is -5/4. So the equation has a slope of -5/4.

Since we know the coordinate of a point of the other equation, we can plug that into the point-slope form equation y - y1 = m(x - x1):

y - 2 = -5/4(x-(-8))

Simplify:

y - 2 = -5/4(x+8)

y - 2 = -5x/4 - 10

So the equation in slope-intercept form is:

y = -5x/4 - 8

3 0
3 years ago
Find the value of a and YZ if Y is between X and Z. XY = 7a, YZ = 5a, XZ = 6a + 24 = YZ =​
Aleksandr-060686 [28]
  • x-y-z

\\ \sf\longmapsto XY+YZ=XZ

\\ \sf\longmapsto 7a+5a=6a+24

\\ \sf\longmapsto 12a=6a+24

\\ \sf\longmapsto 12a-6a=24

\\ \sf\longmapsto 6a=24

\\ \sf\longmapsto a=\dfrac{24}{6}

\\ \sf\longmapsto a=5

  • YZ=5a=5(5)=25
5 0
3 years ago
△ABC is similar to △QRS by the AA Similarity Postulate . The measure of ∠A is 72º and the measure of ∠S is 56º.
Inessa [10]
A △  Has to have 180º so 72+56 b would have to be appx. 52degrres 
8 0
3 years ago
What is the significance of the point of intersection of a pair of simultaneous equations
Alex777 [14]

Answer:

The point of intersection gives the solution set(s) of the associated system.

Step-by-step explanation:

If we have a pair of simultaneous equations in 2 variables in x and y, then the point of intersection is the ordered pair (x,y).

This could be a unique intersection, only one point or infinitely many intersection.

This gives us the solution of the simultaneous equations.

Therefore the significance of the point of intersection of a pair of simultaneous equations is that, it gives us the solution set(s) of the associated system.

7 0
3 years ago
Find the surface area of each figure to the nearest tenth.
Stells [14]
For the cylinder on the left-hand-side,

\bf \textit{surface area of a cylinder}\\\\
S=2\pi r(h+r)\quad 
\begin{cases}
r=radius\\
h=height\\
------\\
h=10\\
r=5
\end{cases}\implies S=2\pi (5)(10+5)

now, for the triangular prism on the right-hand-side,

notice is really just 2 triangles and 3 rectangles, stacked  up to each other at the edges.

the triangles have a base of 4, and a height of 1.5.

the rectangle on the left and the one on the right is a 6x2.5 rectangle.

the rectangle at the bottom, is a 4x6 rectangle.

adding their areas, is the area of the prism,

\bf \stackrel{two~triangles}{2\left[\cfrac{1}{2}(4)(1.5)  \right]}+\stackrel{left-right~rectangles}{2(6\cdot 2.5)}+\stackrel{bottom~rectangle}{4\cdot 6}
\\\\\\
6~~+~~30~~+~~24
7 0
3 years ago
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