Answer:
Step-by-step explanation: 0.2 of 2/10 and 2 is a whole number.
after 4 days 88 boats will have passes under the bridge
Answer:
y = (x+3)^2 -1
Step-by-step explanation:
The vertex form of the equation is
y = a(x-h)^2 +k where (h,k) is the vertex
The vertex is (-3,-1)
y = a(x- -3)^2 -1
y = a(x+3)^2 -1
Pick another point (-2,0) and substitute it into the equation
0 = a(-2+3)^2 -1 to find a
0 =a(1)^2 -1
0 = a-1
1 = a
y = (x+3)^2 -1
Answer:
The perimeter of a rhombus with diagonals of 12 feet and 18 feet would be 60 feet.
Step-by-step explanation:
Perimeter of a rhombus: S1 + S2 + S3 + S4 = answer. (S stands for side.)
12 ft. + 18 ft. + 12 ft. + 18 ft. = 60 ft.
Answer:
The null and alternative hypotheses are:
![H_{0}:\mu=75](https://tex.z-dn.net/?f=H_%7B0%7D%3A%5Cmu%3D75)
![H_{a} : \mu>75](https://tex.z-dn.net/?f=H_%7Ba%7D%20%3A%20%5Cmu%3E75)
Under the null hypothesis, the test statistic is:
![t=\frac{\bar{x}-\mu}{\frac{s}{\sqrt{n}} }](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B%5Cbar%7Bx%7D-%5Cmu%7D%7B%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20%7D)
Where:
is the sample mean
is the sample standard deviation
is the sample size
![\therefore t= \frac{83-75}{\frac{9.8206}{\sqrt{10}} }](https://tex.z-dn.net/?f=%5Ctherefore%20t%3D%20%5Cfrac%7B83-75%7D%7B%5Cfrac%7B9.8206%7D%7B%5Csqrt%7B10%7D%7D%20%7D)
![=2.58](https://tex.z-dn.net/?f=%3D2.58)
Now, we can find the right tailed t critical value at 0.01 significance level for df = n-1 = 10 - 1 = 9 using the t distribution table. The t critical value is given below:
Since the test statistic is less than the t critical value, we therefore, fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim that the people do better with the new edition.