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Scrat [10]
3 years ago
13

*PLS ANSWER CORRECTLY WITH DETAILS* What is the surface area of this regular pyramid?

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0

Answer:

340

Step-by-step explanation:

Base Surface Area =  102

=  100 feet^2

Lateral Surface Area =  

2×10×√  (10/2)^2+ 12^2

=  260 feet^2

Total Surface Area = 340 feet^2

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Which binomial is a factor of 9x2 – 64? 3x – 8 9x – 32 3x 32 9x 8
aalyn [17]

The binomial factor of the equation \rm 9x^2 -64 is 3x-8.

<h3>What is a binomial factor?</h3>

The algebraic expression which contains only two terms is called binomial. It is a two-term polynomial. Also, it is called a sum or difference between two or more monomials.

Factoring binomials means breaking down a binomial expression into its simplest form.

Binomials are algebraic expressions with two terms.

The given binomial is;

\rm 9x^2 -64

The binomial is determined in the following steps given below.

\rm =9x^2 -64\\\\= (3)^2x^2-8^2\\\\= (3x)^2-8^2\\\\= (3x-8)(3x+8)

Hence, the binomial factor of the equation \rm 9x^2 -64 is 3x-8.

To know more about the Binomial factor click the link given below.

brainly.com/question/1493247

3 0
3 years ago
A sample of weights of defensive tackles on Big 10 football teams are: Johnson, 202 pounds; Patrick, 215 pounds; Junior, 207 pou
ExtremeBDS [4]

Answer:

the sample standard deviation is 4.926 pounds

Step-by-step explanation:

the sample standard deviation s is defined as

s =√[ 1/(n-1) ∑ ( x- m)²]  for x=1 to x=n

where

n= sample size = 10

x= weights of defensive tackles

m= sample mean

m= 1/n ∑ x*  for x=1 to x=n

then

m= 1/10 (202 + 215... +208) = 209.66 pounds

thus

s =√[ 1/(10-1) ∑ ( x- m)²] = √[ 1/(10-1) [ ( 202 - 209.66 )² + ( 215 - 209.66 )² +  ( 28 - 209.66 )² ] ] = 4.926 pounds

then the sample standard deviation is 4.926 pounds

4 0
4 years ago
Marcel received an award for community service. The award included a check for $2,265. Three businesses each contributed the sam
natima [27]
$755 each this is so simple you just divide 2265 by 3.
8 0
3 years ago
Read 2 more answers
You read 9.75 pages in your science book and 24.5 pages of a play for English class. It takes you 1.2 minutes to read each page
Rama09 [41]

Answer:

9.75*1.2= 11.7min (time spent reading in science)

24.5*0.8=19.6min (time spent reading play)

19.6+11.7= 31.3min (total time spent reading)

4 0
3 years ago
The amount of time required to reach a customer service representative has a huge impact on customer satisfaction. Below is the
Vika [28.1K]

Answer:

The value of the test statistic is t=1.12.

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that the mean amount of time required to reach a customer service representative significantly differs between the two hotels.

Then, the null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0

The sample 1, of size n1=20 has a mean of 2.65 and a standard deviation of √2.952=1.72.

The sample 2, of size n2=20 has a mean of 2.01 and a standard deviation of √2.952=1.89.

The difference between sample means is Md=0.64.

M_d=M_1-M_2=2.65-2.01=0.64

The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2+\sigma_2^2}{n}}=\sqrt{\dfrac{1.72^2+1.89^2}{20}}\\\\\\s_{M_d}=\sqrt{\dfrac{6.531}{20}}=\sqrt{0.327}=0.571

Then, we can calculate the t-statistic as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{0.64-0}{0.571}=\dfrac{0.64}{0.571}=1.12

5 0
4 years ago
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