Answer:400
Step-by-step explanation:3704
Answer:
58
Step-by-step explanation:
First, draw out your triangle on a piece of paper, and label each point w, x, and y
We are then told that side wx and yw are similar. This means that we have an isosceles triangle with two similar sides.
We are also told that angle w is equal to 64 degrees
with this information, we can assume that angle y is the same as angle x
Another important thing to note is that all triangle measures equals to 180
SO
we can make this expression:
64 + x + x = 180
Now to solve for x:
64 + x + x = 180
64 + 2x = 180
2x = 116
x = 58
Answer:
There can be a number of correct answers. One of them is the ship has traveled 25 miles in 1 hour.
Step-by-step explanation:
The distance from destination f after x hours for the ship is given by f(x)=120-25x
At the beginning, x=0, f(x)=f(0)=120
After 1 hour, f(x)=f(1)=120-25=95
So in 1 hour, the ship has traveled 120-95=25 miles.
Answer:
4, +, 6
Step-by-step explanation:
Answer:
a. H0:μ1≥μ2
Ha:μ1<μ2
b. t=-3.076
c. Rejection region=[tcalculated<−1.717]
Reject H0
Step-by-step explanation:
a)
As the score for group 1 is lower than group 2,
Null hypothesis: H0:μ1≥μ2
Alternative hypothesis: H1:μ1<μ2
b) t test statistic for equal variances
t=(xbar1-xbar2)-(μ1-μ2)/sqrt[{1/n1+1/n2}*{((n1-1)s1²+(n2-1)s2²)/n1+n2-2}
t=63.3-70.2/sqrt[{1/11+1/13}*{((11-1)3.7²+(13-1)6.6²)/11+13-2}
t=-6.9/sqrt[{0.091+0.077}{136.9+522.72/22}]
t=-3.076
c. α=0.05, df=22
t(0.05,22)=-1.717
The rejection region is t calculated<t critical value
t<-1.717
We can see that the calculated value of t-statistic falls in rejection region and so we reject the null hypothesis at 5% significance level.
