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photoshop1234 [79]
4 years ago
9

Find the area of the shape shown below. 9 3 3

Mathematics
1 answer:
Andre45 [30]4 years ago
7 0

Answer:

The answer would be 18

Step-by-step explanation:

the formula for area of a triangle is 1/2b*h

so would mulitply 3*3 and get 9/2 which would be 4.5 do that on the otherside and you would get 4.5 again add together and you would get 9

for the square you would calculate the area by multplying b*h to get 9 so 9+9=18

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Solve for x: 3|x − 3| + 2 = 14
sammy [17]
\left\{\begin{array}{ccc}a&for& a\geq0\\-a&for&a \ \textless \  0\end{array}\right \\\\3|x-3|+2=14\ \ \ |subtract\ 2\ from\ both\ sides\\\\3|x-3|=12\ \ \ \ |divide\ both\ sides\ by\ 3\\\\|x-3|=4\iff x-3=4\ or\ x-3=-4\ \ \ |add\ 3\ to\ both\ sides\\\\\boxed{x=7\ or\ x=-1}
8 0
4 years ago
Read 2 more answers
How many integers are there that consist of four digits (from 1000 to 9999) where the first digit is a 5 or an 8 and the third d
Ostrovityanka [42]

Answer:

1600 integers

Step-by-step explanation:

Since we have a four digit number, there are four digit placements.

For the first digit, since there can either be a 5 or an 8, we have the arrangement as ²P₁ = 2 ways.

For the second digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.

For the third digit, since it neither be a 5 or an 8, we have two less digit from the total of ten digits which is 10 - 2 = 8. So, the number of ways of arranging that is ⁸P₁ = 8.

For the last digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.

So, the number of integers that can be formed are 2 × 10 × 8 × 10 = 20 × 80 = 1600 integers

5 0
3 years ago
A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts. Estimate the true proportion
Andreas93 [3]

Answer: (0.5496, 0.5754)

Step-by-step explanation:

The confidence interval for population proportion (p) is given by :-

\hat{p}\pm z*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}  , where \hat{p}= Sample proportion , n= sample size , z*= Critical z-value.

Let p be the  proportion of all college students who are in favor of banning Hawaiian shirt.

Given, A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts.

i.e. n=4000

\hat{p}=\dfrac{2250}{4000}=0.5625

z-value for 90% confidence level is 1.645

Now , 90% confidence interval for p would be :

0.5625\pm (1.645)(\sqrt{\dfrac{0.5625(1-0.5625)}{4000}})

=0.5625\pm (1.645)(\sqrt{0.0000615234375})\\\\=0.5625\pm (1.645)(0.00784368774876)\\\\\approx0.5625\pm0.0129\\\\=(0.5625-0.0129, \ 0.5625+0.0129)\\\\=(0.5496,\ 0.5754)

Hence, the required 90% interval = (0.5496, 0.5754)

6 0
4 years ago
Gary gets paid 150% of his hourly rate for every hour he works over 40. Last, week he worked 55 hours . How much did he get paid
Alenkasestr [34]

Answer:

$937.50

Step-by-step explanation:

For the first 40 its simply $15 an hour coming to $600. After that you increase his hourly to $22.5 and take that for 15 hours. That together comes to 937.5

5 0
3 years ago
1 5≥2p+1 what does p =
Simora [160]

Answer: I am pretty sure the answer is 7.


Step-by-step explanation:

15≥2p+1

subtract 1 from each side to get

14≥2p

divide 2 by each side to get

7≥p

I hope this helped


5 0
3 years ago
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