Answer:
g=1.5
Step-by-step explanation:
-0.4+0.9=0.5
0.5*3 1.5
Answer:
c) -1.75°
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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.
Mean of 0, standard deviation of 1:
This means that ![\mu = 0, \sigma = 1](https://tex.z-dn.net/?f=%5Cmu%20%3D%200%2C%20%5Csigma%20%3D%201)
Find the reading that separates the bottom 4% from the others.
This is the 4th percentile, which is X when Z has a p-value of 0.04, so X when Z = -1.75.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![-1.75 = \frac{X - 0}{1}](https://tex.z-dn.net/?f=-1.75%20%3D%20%5Cfrac%7BX%20-%200%7D%7B1%7D)
![X = -1.75*1](https://tex.z-dn.net/?f=X%20%3D%20-1.75%2A1)
![X = -1.75](https://tex.z-dn.net/?f=X%20%3D%20-1.75)
The correct answer is given by option c.
Answer:
Hello! answer:
rectangle a: 8
rectangle b: 24
figure: 32
Step-by-step explanation:
Hello I'll show a demonstration, with a picture and explanation. Ok so as shown in the picture i circled the base and height those are basically what you have to multiply to find the area.
we are given the height for rectangle a but not the base so we have to find it we know the base at the bottom for the whole thing is 5 and the base for B is. 3 so we can just subtract 3 from 5 to find A's base so... 5 - 3 = 2
now we have everything we need to find the area so....
4 × 2 = 8 so rectangle a is 8
3 × 8 = 24 so rectangle b is 24
then for the whole figure we can just add those two up for the entire area so...
24 + 8 = 32 therefore the figures area is 32 Hope that helps!
Answer:Cost each item is : Pass = $21 , Souvenir = 2x/3 = $14 , Burger = x/6 =$3.5 .
Step-by-step explanation:
Here we have , Danny brought $43.00 to the state fair. He bought a burger, a souvenir, and a pass. The burger was 1/4 as much as the souvenir, and the souvenir cost 2/3 the cost of the pass. Danny had $4.50 left over after buying these items. We need to find What was the cost of each item . Let's find out:
Let value of pass is x ! So , the souvenir cost 2/3 the cost of the pass i.e.
⇒
Now , The burger was 1/4 as much as the souvenir i.e.
⇒
⇒
Total Cost = $43 , According to question we have following conditions :
⇒
⇒
⇒
⇒
⇒
⇒
Therefore , Cost each item is : Pass = $21 , Souvenir = 2x/3 = $14 , Burger = x/6 =$3.5 .
Step-by-step explanation:
Answer:
y = - 5x - 16
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 5, then
y = - 5x + c ← is the partial equation
To find c substitute (- 4, 4) into the partial equation
4 = 20 + c ⇒ c = 4 - 20 = - 16
y = - 5x - 16 ← equation of line