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finlep [7]
3 years ago
6

For a standard normal distribution, which of the following expressions must always be equal to 1?

Mathematics
2 answers:
frosja888 [35]3 years ago
8 0
For a standard normal distribution, the expression that is always equal to 1 is P(z≤-a)+P(-a≤z≤a)+P(Z≥a). This expression represents all of the possible values in a curve, or in other words, the total area of a curve. According to standard normal distribution, the total area of a curve is always equal to 1.


Alchen [17]3 years ago
4 0

Answer: D

Step-by-step explanation: Edg.

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Help? im confused plss!<br> Find the area of the regular polygon with the given radius or apothem
Snezhnost [94]

Answer:

  50 cm²

Step-by-step explanation:

Given that the regular polygon is a square, there are multiple ways you can jump directly to the answer. Perhaps the simplest is to use the formula for the area of a rhombus:

  A = 1/2(d1)(d2)

where d1 and d2 are the lengths of the diagonals. Here, we see that half the diagonal is 5 cm, so the area is ...

  A = (1/2)(10 cm)(10 cm) = 50 cm² . . . . area of the polygon

__

<em>Alternate solution</em>

If you want to use the radius and the number of sides in a formula, you can consider the area of each triangle formed by radii and a side. That triangle has area ...

  A = 1/2r²sin(α)

where r is the radius and α is the central angle. For an n-sided polygon, the area is the sum of n of these triangles, and the central angle is 360°/n. Then the polygon area is ...

  A = n/2·r²·sin(360°/n)

For n = 4 and r = 5 cm, the area is ...

  A = (4/2)(5 cm)²(sin(360°/4)) = 2(5 cm)²(1) = 50 cm² . . . . area of square

_____

<em>Additional comment</em>

The formula is somewhat different if you start with the length of the apothem. One way to find the area is using the above formula and the relation between the radius and apothem:

  r = a·sec(180°/n)

Another formula uses the apothem directly:

  A = n·a²·tan(180°/n)

8 0
2 years ago
Can someone tell me<br> How to solve this and a explanation?
Evgesh-ka [11]

Answer:

C

Step-by-step explanation:

Okay so on Saturday there is a 30% sale plus she comes early so +10% and that makes 40% off.

10% of 400=40

multiply by 4 to get 40%, 40*4=40%

40%=160

400-160=240

Hope this helps

6 0
3 years ago
Read 2 more answers
It has a slope of -7 and passestrough the point (-3,16)
Jlenok [28]

Answer:

y = -7x - 5

Step-by-step explanation:

y-intercept= 16 - (-7) (-3) = - 5

8 0
3 years ago
A culinary club earns $1360 from a dinner service. They sold 45 adult meals and 80 student meals. An adult meal costs twice as m
CaHeK987 [17]

Answer:

$16

Step-by-step explanation:

90m+80m=1360

170m=1360

m=8

8 x 2= 16

5 0
3 years ago
Find the area of the regular hexagon PQRSTU of sides 8 cm as shown in the figure
Lemur [1.5K]

Answer:

Area = 245m^2

Step-by-step explanation:

We can split this figure into 2 parts, a rectangle and a trapezoid.

Rectangle Sides = 10m and 20m

Area = 10m x 20m = 200m

Trapezoid formula = a+b/2(h)

a and b are the 2 bases and h is the height

Using a little deductive reasoning we get the following, 5+10/2(6)

This simplifies to 15/2(6) -->

7.5(6) = 45

Thus, our area is 200 + 45, or 245m^2

6 0
2 years ago
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