Answer:
V = ( 2 +H ) × ( 1 +H ) × H = (2 + 3H + H² ) unit³
Step-by-step explanation:
according to question :
Let the Height be = H unit
The measure of width = (1 inch + H) unit
The measure of length = 1 inch + width =( 1 inch + 1 inch + H) unit = (2 + H) unit
So, the volume V = Length × width × Height
Or, V = ( 2 +H ) × ( 1 +H ) × H = (2 + 3H + H² ) unit³ Answer
Answer:
The probability that 13 of them were very confident their major would lead to a good job is 1.08%.
Step-by-step explanation:
Given : A 2017 poll found that 56% of college students were very confident that their major will lead to a good job. If 15 college students are chosen at random.
To find : What's the probability that 13 of them were very confident their major would lead to a good job?
Solution :
Applying Binomial distribution,
Here, p is the success p=56%=0.56
q is the failure
n is the number of selection n=15
The probability that 13 of them were very confident their major would lead to a good job i.e. x=13
Substitute the values,
The probability that 13 of them were very confident their major would lead to a good job is 1.08%.
Answer:
see explanation
Step-by-step explanation:
sum the parts of the ratio, 2 + 1 = 3 parts , thus
81 cm² ÷ 3 = 27 cm² ← value of 1 part of the ratio
2 parts = 2 × 27 = 54 cm²
Area of A = 54 cm² and area of B = 27 cm²
The side of the original square = = 9 cm
The width of both rectangles is 9 cm ( width remains unchanged after cut )
Thus
Rectangle A
9 × length = 54 ( divide both sides by 9 )
length = 6 cm
Rectangle B
9 × length = 27 ( divide both sides by 9 )
length = 3 cm
Rectangle A → length = 6 cm, width = 9 cm
Rectangle B → length = 3 cm , width = 9 cm
Answer:
(0,6) and (-2, 0)
Step-by-step explanation:
All straight lines follow the equation, y = mx + c. where c is the y-intercept (the point where the line meets the y-axis) and m is the gradient.
In this equation, c = 6. So, the point where the line meets the y-axis is (0, 6).
Remember: the point where the line meets the y-axis always has an x-coordinate of 0 and the point where the line meets the x-axis has a y-coordinate of 0.
using this information, we can substitute y in the equation with 0 becoming
0 = 6 + 3x
now we can solve for x.
0 -6 = 3x
-6 / 3 = x
x = -2
the coordinate is (-2, 0)
Answer:
Step-by-step explanation:
Put hypotheses as:
(Two tailed test at 4%)
Since population std deviation is given we can do Z test.
Test statistic t = mean diff/se =
p value=0.075
Since p >0.04 our alpha, we accept null hypothesis.
At alphaequals0.04, we cannot reject the company's claim