Answer:
Step-by-step explanation:
a 2m+5=13
2m=8
m=4
b 3m/5=-6
3m=-30
m=-10
c 4-5x=19
-5x=15
x=-3
d x/4-10=2
x=48
e -24=8(h+3)
-24=8h+24
-48=8h
h=-6
f -3+d/2=9
-3+d=18
d=21
To model 75% of 16 pieces you would shade in 12 because 12/16=75%/100.
Answer: b. H0: μ ≥ 5; Ha: μ < 5
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean.
While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
The mean is 5 years and they claim it will perform for more than 5 years.
Therefore, for the case above;
H0: μ ≥ 5; Ha: μ < 5
Note: a null hypothesis must always include an equal to sign.
Answer:
These are the rules of rotation for geometry.
1) 90° clockwise rotation: (x,y) becomes (y,-x)
2) 90° counterclockwise rotation: (x,y) becomes (-y,x)
3) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
4) 270° clockwise rotation: (x,y) becomes (-y,x)
5) 270° counterclockwise rotation: (x,y) becomes (y,-x)
Step-by-step explanation:
I hope this helps! I also added a picture to make this more clear.
Answer:
34
Step-by-step explanation:
The mean is calculated as
mean = 
let x be the missing frequency, then
Total frequency × midpoint
= (16 × 2) + 7x + (20 × 12) + (10 × 17) = 32 + 7x + 240 + 170 = 442 + 7x
Total frequency = 16 + x + 20 + 10 = 46 + x, thus
= 8.5 ( cross- multiply )
442 + 7x = 8.5(46 + x)
442 + 7x = 391 + 8.5x ( subtract 8.5x from both sides )
442 - 1.5x = 391 ( subtract 442 from both sides )
- 1.5x = - 51 ( divide both sides by - 1.5 )
x = 34
The missing frequency is 34