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pychu [463]
3 years ago
11

The area of a right triangle is 210 square inches. The height of the right triangle is 35 inches.

Mathematics
1 answer:
Semmy [17]3 years ago
7 0

Answer:

37 inch

Step-by-step explanation:

Area of ∆ = ½ height x base

210 = ½ x 35 x base

12 = base

Using Pythagoras theorem,

=> hypotenuse = √height² + base²

=> hypotenuse = √35² + 12² = 37

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A group of friends were working on a student film with a budget of $700, which they
Westkost [7]

Answer:

76%

Step-by-step explanation:

First do 700 - 168 which is 532

Next we see that 700 is 100% in this scenario

Then we will use the value we seek as ‘x’

So, x% = 532

We can put the two equations, 100%/x% = 700/532

they both have LHS

We can take the inverse from both sides yields

Therefore, the answer is 76%

8 0
2 years ago
You have been hired as the quality control office of a pharmaceutical company that manufactures aspirin tablets. According to th
Firlakuza [10]

Answer:

P(X=0)=(24C0)(0.04)^0 (1-0.04)^{24-0}=0.375413  

P(X=1)=(24C1)(0.04)^1 (1-0.04)^{24-1}=0.  

So then the probability that the batch would be accepeted is:

0.375413+0.375413=0.7508

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=24, p=0.04)

On this case p=0.04 represent the probability that a random the tablet would be NOT accepted

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

They accept the batch if there is only one or no tablet that doesn’t meet the test specification, so let's find the individual probabilities for this case:

P(X=0)=(24C0)(0.04)^0 (1-0.04)^{24-0}=0.375413  

P(X=1)=(24C1)(0.04)^1 (1-0.04)^{24-1}=0.  

So then the probability that the batch would be accepeted is:

0.375413+0.375413=0.7508

3 0
2 years ago
25 km<br> 7 km<br> 18 km<br> 24 km<br> Find the area!!
Anna35 [415]

Answer:

75600k^4 m^4 Hope that help !

Step-by-step explanation:

1. Take out the constants (25×7×18×24) kkkkmmmm

2. Simplify 25×7=175 (175×18×24)kkkkmmmm

3. Simplify 175×18=3150 (3150×24)kkkkmmmm

4. 3150×24= 75600kkkkmmmm

5. The answer would be 75600k^4 m^4

7 0
2 years ago
Solve the inequality for <br> 8w-35&lt; 3−(5-4w)<br><br> Simplify the answer as much as possible
Finger [1]

Answer:

w<33/4

Step-by-step explanation:

8w-35<3-(5-4w)

8w-35<3-5+4w

8w-35<-2+4w

8w-4w-35<-2

4w-35<-2

4w<-2+35

4w<33

w<33/4

7 0
3 years ago
NEED HELP ASAP ILL GIVE YOU BRAINLIST
lesya [120]

Answer is D  You'll do the diameter squared then you multiply by π

6 0
2 years ago
Read 2 more answers
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