Answer:
514 feet
Step-by-step explanation:
Just simply use the pythagorean thereom:
a^2 +b^2 = c^2
put in the values of a, b, and c with the side lengths of the triangle:
x feet, 64 feet, and x+4 feet
x^2 +64^2 = (x+4)^2 , thus x =510
the hypotenuse = x+4 feet = 510 + 4 = 514
ANSWER: 514 feet
Answer:
The population standard deviation is not known.
90% Confidence interval by T₁₀-distribution: (38.3, 53.7).
Step-by-step explanation:
The "standard deviation" of $14 comes from a survey. In other words, the true population standard deviation is not known, and the $14 here is an estimate. Thus, find the confidence interval with the Student t-distribution. The sample size is 11. The degree of freedom is thus
.
Start by finding 1/2 the width of this confidence interval. The confidence level of this interval is 90%. In other words, the area under the bell curve within this interval is 0.90. However, this curve is symmetric. As a result,
- The area to the left of the lower end of the interval shall be
. - The area to the left of the upper end of the interval shall be
.
Look up the t-score of the upper end on an inverse t-table. Focus on the entry with
- a degree of freedom of 10, and
- a cumulative probability of 0.95.
.
This value can also be found with technology.
The formula for 1/2 the width of a confidence interval where standard deviation is unknown (only an estimate) is:
,
where
is the t-score at the upper end of the interval,
is the unbiased estimate for the standard deviation, and
is the sample size.
For this confidence interval:
Hence the width of the 90% confidence interval is
.
The confidence interval is centered at the unbiased estimate of the population mean. The 90% confidence interval will be approximately:
.
value of x =-4 and value of y=-3
(-4,-3) is the solution of system of equations.
Step-by-step explanation:
We need to solve the system of equations

Rearranging:

Multiply eq(2) with 3 and subtract eq(2) from eq(1)

Putting value of x = -4 into eq(1)

So, value of x =-4 and value of y=-3
(-4,-3) is the solution of system of equations.
Keywords: system of equations.
Learn more about system of equations at:
#learnwithBrainly
The answer is 176 because there are 16 fl oz in a pound and since pounds are greater than fl oz You multiply 11×16 to get you product
X=38, y=76
2x+y=76
2x+(0)=76
2x/2=76/2
x=38
2x+y=76
2(0)+y=76
y=76