Answer:
Angle 1 is 22°
Angle 2 is 78°
Step-by-step explanation:
Angles on a straight line always add up to 180°.
To find Angle 2, you would have to do 180° take away 102°.
180-102=78°
Angles in a triangle also add up to 180°.
So to find Angle 1, you would have to add the two Angles you already have and take it away from 180°.
80+78=158°
180-158=22°
Hope this helps :)
It will take 10 classes for YOGA FOR US & STRETCH LAND to have the same amount of money spent on yoga classes.
For Yoga For Us after 10 classes . You would have spent 50 dollars for the classes,plus our $30 fee is (50+30) which is $80
For Stretch Land after 10 classes. You would have spent 20 dollars for the classes,plus our $60 fee is (60+20) which is $80.
Each yoga studio will have gathered $80 after 10 classes.
Hope this helps <3 & don't forget to drink water!!
Answer:
21.94% of people aged 20 to 34 have IQs between 125 and 150.
Step-by-step explanation:
<u>The complete question is:</u> Scores on the Wechsler Adult Intelligence Scale (a standard IQ test) for the 20 to 34 age group are approximately Normally distributed with μ = 110 and σ = 25.
What percent of people aged 20 to 34 have IQs between 125 and 150?
Let X = <u><em>Scores on the standard IQ test for the 20 to 34 age group</em></u>
SO, X ~ Normal(
)
The z-score probability distribution for the normal distribution is given by;
Z =
~ N(0,1)
where,
= population mean = 110
= standard deviation = 25
Now, the percent of people aged 20 to 34 have IQs between 125 and 150 is given by = P(125 < X < 150) = P(X < 150) - P(X
125)
P(X < 150) = P(
<
) = P(Z < 1.60) = 0.9452
P(X
125) = P(
) = P(Z
0.60) = 0.7258
The above probability is calculated by looking at the value of x = 1.60 and x = 0.60 which has an area of 0.9452 and 0.7258.
Therefore, P(125 < X < 150) = 0.9452 - 0.7258 = 0.2194 or 21.94%
Answer:

Step-by-step explanation:

multiply constants and add the exponents
