Answer:
Step-by-step explanation:
So, to begin the altitude of a triangle is the line segment that starts at the top vertex and ends at the base of the triangle forming a right angle. If we want to find the volume of the of the prism the formula is Ab*h. This is the area of the base, times the height of the prism. This is true because a simple expination of volume is a box filled with stuff. To count how much stuff we have in the box the formula uses layers. Volume is just like a lot of 2 dimential areas stacked on top of each other. So taking the area of the flat base and puting it on top of it self 10 time will give you the same prism thats in the problem. Now we just have to apply the consept. Since the base is a triangle and we need to find the area. The formula is b*h*1/2. Base time height times 1/2. The reason for this is also simlar to area. A triangle is half of a square, so to find the area of a square the formula is L*W. Since a triangle is half of a square you just multipuly it by 1/2. When solved you will get 4*3.5*1/2=7, the area of the base is 7 cm^2. Now appling the topic above we stack the base 10 times, so 7*10=70. In conculstion the volume of the prism would be 70 cm^2.
The probablity that the sample's mean length is greate than 6.3 inches is0.8446.
Given mean of 6.5 inches,standard deviation of 0.5 inches and sample size of 46.
We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.
Probability is the likeliness of happening an event. It lies between 0 and 1.
Probability is the number of items divided by the total number of items.
We have to use z statistic in this question because the sample size is greater than 30.
μ=6.5
σ=0.5
n=46
z=X-μ/σ
where μ is mean and
σ is standard deviation.
First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.
z=6.3-6.5/0.5
=-0.2/0.5
=-0.4
p value from z table is 0.3446
Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.
Hence the probability that the mean length is greater than 6.3 inches is 0.8446.
Learn more about probability at brainly.com/question/24756209
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Answer:
A line that passes through (3, -8) and (7,-2).
Denote equation of that line: y = ax + b
=> Slope a can be directly determined by:
a = (7 - 3)/(-2 - -8) = 4/6 = 2/3
=> y = (2/3)x + b
This line passes (3, -8), then: -8 = (2/3)*3 + b => -8 = 2 + b => b = -10
=> y =(2/3)x - 10
There are other ways to find equation of line.
Hope this helps!
:)
X = 4 y = 3 4x-3y=7 x=13-3y
4(13-3y) -3y =7
52 -12y -3y =7
-15y=-45
-y=-3 y = 3
x=13-(3*3)
x=13-9
x =4
Answer:
Answer: 3
Step-by-step explanation:
Use BODMAS
<u>Step 1: Open bracket (1 2/5 +3.5÷1 1/4 )</u>
<em>Convert mixed fractions into improper fractions</em>
7/5 + 3.5 ÷ 5/4
<em>Divide 3.5 by 5/4</em>
7/5 + 2.8 = 4.2
<u>Step 2: Carry out all divisions</u>
<em>Convert mixed fraction into improper fractions</em>
4.2 ÷2 2/5 +3.4÷2 1 /8 −0.35
4.2 ÷ 12/5 + 3.4 ÷ 17/8 - 0.35
1.75 + 1.6 - 0.35
<u>Step 3: Solve</u>
1.75 + 1.6 - 0.35
3.35 - 0.35
Answer = 3
