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3 years ago

Find the total surface area of this square based pyramid

Mathematics

2 answers:

Masteriza [31]3 years ago

8 0

Answer:

300ft²

Step-by-step explanation:

base=LW = 10x10=100

triangles=1/2bh = 1/2(10)(10)=50 (4 of them)

100+4(50)=

100+200=300ft²

Shkiper50 [21]3 years ago

8 0

Answer:

300 ft²

Step-by-step explanation:

Surface area= area of base + 4*area of triangle

a= 10 ft

h= 10 ft

Surface area:

10*10+ 4*1/2*10*10= 300 ft²

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The number of hours per day that Americans spend on social networking is approximately normally distributed. A random sample of

-Dominant- [34]

Answer:

B. (2.869, 3.411)

Step-by-step explanation:

The question is incomplete:

The number of hours per day that Americans spend on social networking is approximately normally distributed. A random sample of 20 Americans who use social networks had M = 3.14 hours and s = 0.58 hours. Find a 95% confidence interval for the actual mean number of hours that Americans spend on social networking.

A. (2.860, 3.420)

B. (2.869, 3.411)

C. (2.886, 3.394)

D. Not appropriate

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=3.14.

The sample size is N=20.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

$s_M=\dfrac{s}{\sqrt{N}}=\dfrac{0.58}{\sqrt{20}}=\dfrac{0.58}{4.472}=0.13$

The degrees of freedom for this sample size are:

$df=n-1=20-1=19$

The t-value for a 95% confidence interval and 19 degrees of freedom is t=2.093.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_M=2.093 \cdot 0.13=0.271$

Then, the lower and upper bounds of the confidence interval are:

$LL=M-t \cdot s_M = 3.14-0.271=2.869\\\\UL=M+t \cdot s_M = 3.14+0.271=3.411$

The 95% confidence interval for the mean is (2.869, 3.411).

3 0

3 years ago

if you reflect any shape across the x-axis and then rotate it 90 degrees clockwise about the origin, do you get the same results

vampirchik [111]

it is easy 90x+90y then divide by 4

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The given line passes through the points (0, −3) and (2, 3).

Fed [463]

If the 2 lines are parallel, their slopes are the same.

The slope of both is
3+3
m = ---------- = 3
2 - 0

If the new line passes through the point (−1, −1), then the equation in point slope form is:

y+1 = 3(x+1).

4 0

3 years ago

Choose whether it's always, sometimes, never

Keith_Richards [23]

Answer: An integer added to an integer is an integer, this statement is always true. A polynomial subtracted from a polynomial is a polynomial, this statement is always true. A polynomial divided by a polynomial is a polynomial, this statement is sometimes true. A polynomial multiplied by a polynomial is a polynomial, this statement is always true.

Explanation:

The closure property of integer states that the addition, subtraction and multiplication is integers is always an integer.

If $a\in Z\text{ and }b\in Z$ , then a+b\in Z.

Therefore, an integer added to an integer is an integer, this statement is always true.

A polynomial is in the form of,

$p(x)=a_nx^n+a_{n-1}x^{x-1}+...+a_1x+a_0$

Where $a_n,a_{n-1},...,a_1,a_0$ are constant coefficient.

When we subtract the two polynomial then the resultant is also a polynomial form.

Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.

If a polynomial divided by a polynomial then it may or may not be a polynomial.

If the degree of numerator polynomial is higher than the degree of denominator polynomial then it may be a polynomial.

For example:

$f(x)=x^2-2x+5x-10 \text{ and } g(x)=x-2$

Then $\frac{f(x)}{g(x)}=x^2+5$ , which a polynomial.

If the degree of numerator polynomial is less than the degree of denominator polynomial then it is a rational function.

For example:

$f(x)=x^2-2x+5x-10 \text{ and } g(x)=x-2$

Then $\frac{g(x)}{f(x)}=\frac{1}{x^2+5}$ , which a not a polynomial.

Therefore, a polynomial divided by a polynomial is a polynomial, this statement is sometimes true.

As we know a polynomial is in the form of,

$p(x)=a_nx^n+a_{n-1}x^{x-1}+...+a_1x+a_0$

Where $a_n,a_{n-1},...,a_1,a_0$ are constant coefficient.

When we multiply the two polynomial, the degree of the resultand function is addition of degree of both polyminals and the resultant is also a polynomial form.

Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.

3 0

3 years ago

Read 2 more answers

Renee deposits $4,000 in a savings account that earns 2% simple interest per year. how much interest will she earn after 1 year?

Vera_Pavlovna [14]

I believe it's 80 dollars.

7 0

4 years ago