The answer is A A number line with a closed circle on 3-
Its the 3rd choice if we have to shade the unwante part
1. Slope 3/4, through (4,-1)
y = 3/4 x + b
-1 = 3/4(4) + b
-1 = 3 + b
-1 - 3 = b
-4 = b
y = 3/4 x - 4
2. Slope = - 1/2, through (3,0)
y = -1/2 x + b
0 = -1/2(3) + b
0 = -1.5 + b
0 + 1.5 = b
1.5 = b
y = -1/2 x + 1.5
Answer:
328 feet
Step-by-step explanation:
From a boat ont he lake, the angle of elevation to the top of a cliff is 11° 50'. If the base of the cliff is 1568 feet from the boat, how high is the cliff (to the nearest foot)
Step 1
Note that
that 11°50' is just 11 degrees and 50 minutes
60 minutes = 1 degree,
thus 50 minutes = x degree
50/60 degrees
= 0.83°
Hence: 11°50' = 11.83°.
Step 2
We solve using Trigonometric function of tan
tan theta = Opposite/Adjacent
theta = 11.83°
Adjacent = 1568 feet
Opposite = Height of the cliff = x
tan 11.83° = x/1568
Cross Multiply
x = tan 11.83 × 1568
x = 328.429195 feet
Approximately = 328 feet
The height of the cliff is 328 feet
Answer:
Interval for t statistic = (-1.345, 1.345)
Step-by-step explanation:
given that a random sample of size 15 is selected from a normal population. The population standard deviation is unknown.
Since population std deviation is unknown and also sample size <30, we have to use t test only for testing of hypothesis
Given it is a two tailed test at 10% significance level.
Degree of freedom = 15-1 =14
t critical value for df 14 two tailed is
1.345
Hence our test statistic should lie between
(-1.345, 1.345)
Then null hypothesis is accepted
Other wise it is rejected.
