Divide the perimeter by 2, this will give you the sum of one length and one width.
68/2 = 34 yards
Now the length is 10 yards more, so subtract 10 from the 34 and divide by 2 again:
34 - 10 = 24
24 /2 = 12
The width is 12 yards.
The length is 12 + 10 = 22 yards.
First we need to write the null and alternate hypothesis for this case.
Let x be the average number of text message sent. Then
Null hypothesis: x = 100
Alternate hypothesis: x > 100
The p value is 0.0853
If p value > significance level, then the null hypothesis is not rejected. If p value < significance level, then the null hypothesis is rejected.
If significance level is 10%(0.10), the p value will be less than 0.10 and we reject the null hypothesis and CAN conclude that:
The mean number of text messages sent yesterday was greater than 100.
If significance level is 5%(0.05), the p value will be greater than 0.05 and we cannot reject the null hypothesis and CANNOT conclude that:
The mean number of text messages sent yesterday was greater than 100.
Answer:
In one second it turns 200 / 60 = 3 1/3 revolutions. Since one revolution is 360°, the answer is 6 2/3 π radians.
Answer:
2g + 2f = 5.16
7g + 9f = 21.24
Step-by-step explanation:
Let
Gala = g ; Fuji = f ; jazz = j
g + f + j = 5.16 - - - (1)
j = g + f - - - (2)
From (1):
g + f + g + f = 5.16
2g + 2f = 5.16 - - - (3)
Total pound picked by Tanner = 12
3 Pounds of g ; 5 pounds of f
j = 12 - (5 +3) = 4 pounds
3g + 5f + 4j = 21.24 - - - (4)
3g + 5f + 4(g + f) = 21.24
3g + 5f + 4g + 4f = 21.24
7g + 9f = 21.24 - - - - - (5)
As shown in the image, we have a 30 degree angle and x, which is what we want. By doing tan30, we can find x, so tan30=x/70 and 70*tan30=x= 70*sqrt(3)/3. 120-x=height of first tower = 120-(70*sqrt(3)/3) = roughly 79.59
