Y=90° by inspection
w=180-(50+y)=160-(50+90)=40°
x=180-(w+x)=180-(40+97)=43°
z=180-(x+90)=180-(43+90)=47°
Answer:
The probability of missing both two-point conversion attempts is 7.5%
Step-by-step explanation:
We are informed that the probability of missing the first attempt is 50% of the time. Furthermore, the probability of missing on the second attempt given that he missed the first attempt is 15% of the time
Now,the probability of missing on both the two-point conversion attempts will simply be given by the product of these two probabilities since the events are independent;
50%*15% = 0.5 * 0.15 = 7.5%
Therefore, the probability of missing both two-point conversion attempts is 7.5%
Answer:
520
Step-by-step explanation:
If you make it into a proportion where the percent of boys is 85% then you get 85/100=442/w. When you cross multiply you get 85w=44200. Then you simplify and get w=520 so there are 520 students in total
Answers in order top to bottom:
8
6
-8
__________
The equation can be simplified by dividing both sides by 2
remember, anything times 0 is 0.
4x + 3y = 24
Now plug in values
if x = 0;
4(0) + 3y = 24
3y = 24
y = 8, this is the first answer
if y = 0;
4x + 3(0) = 24
4x = 24
x = 6, this is the second answer
if x = 12;
4(12) + 3y = 24
48 + 3y = 24
3y = -24
y = -8, this is the third answer.
Answer:
Step-by-step explanation:
From the information given,
Mean, μ = (10.31 + 17.22 + 26.62 + 22.84)/4 = 19.2475
Standard deviation, σ = √summation(x - mean)/n
Summation(x - mean) = (10.31 - 19.2475)^2+ (17.22 - 19.2475)^2 + (26.62 - 19.2475)^2 + (22.84 - 19.2475)^2 = 151.249475
σ = √(151.249475/4)
σ = 6.15
number of sample, n = 4
The z score for 98% confidence interval is 2.33
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
It becomes
19.2475 ± 2.33 × 6.15/√4
= 19.2475 ± 2.33 × 3.075
= 19.2475 ± 7.16
The lower end of the confidence interval is 19.2475 - 7.16 = 12.09
The upper end of the confidence interval is 19.2475 + 7.16 = 26.41
