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Vlad [161]
3 years ago
8

Someone please help and show work!! I will also mark brainliest. I’ll appreciate it.

Mathematics
1 answer:
Eduardwww [97]3 years ago
5 0

Answer:

1. 53

2. 20

3. 37

4. 29

Step-by-step explanation:

Since your trying to find the hypotenuse you equation is...

1. 28^2 + 45^2 = C^2

    784 + 2025 = C^2

      Square Root 2809= C^2

    C=53

So after you square root 2809 you get 53.

2. 12^2 + 16^2 = C^2

     144 + 256 = C^2

      Square Root 400 = C^2

    C=20

So after you square root 400 you get 40.

3.  12^2 + 35^2 = C^2

    144 + 1225 = C^2

    Square Root 1369 = C^2

   C=37

So after you square root 1359 you get 37.

4. 20^2 + 21^2 = C^2

   400 + 441 = C^2

  Square root 841 = C^2

  C=20

So after you square root 841 you get 29.

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A new antibiotic is effective for 85% of infections. The antibiotic is given to 40 patients. a) Verify that this is a binomial s
Charra [1.4K]
(a)
The binomial distribution can be used because the current situation satisfies all of the following:
1. The probability of success (p=85%) is known and remains constant during the whole experiment
2. The number of trials (n=40) is known and constant.
3. Each trial is a bernoulli trial (success or failure only)
4. All trials are (assumed) independent of each other.
The probability of x successes is therefore
P(X=x)=C(n,x)(p^x)(1-p)^(n-x)

(b) P(X=35) means the probability of 35 successes out of 40 trials at p=0.85
and
P(X=35)=C(40,35)*0.85^35*0.15^5=658008*0.003386*0.00007594
=0.16918

(c) P(X>=35)=∑ P(X=i) for i=35 to 40
=0.16918+0.13315+0.08157+0.03649+0.01060+0.00150
=0.4325

(d) P(X<20)=&sum; P(X=i) for i=0 to 19
=0.00000003513   (individual probabilities are very small).
4 0
3 years ago
What is 3 times 12 plus 23 minus 90 times 300?
Lesechka [4]

I believe it has to be about-9'300

3 0
3 years ago
Write an equation in slope-intercept form then Graph. <br> 3x-6y=-12
algol [13]
<h3><u>y = 1/2x + 2 is the given equation in slope-intercept form.</u></h3>

3x - 6y = -12

Currently, this is in standard form.

In order to convert this to slope-intercept form, we need to isolate y.

Add 6y to both sides.

3x = -12 + 6y

Add 12 to both sides.

3x + 12 = 6y

Divide both sides by 6.


7 0
3 years ago
the band members sold 316 juice drinks for a fundraiser. they sold 52 more grape drinks than strawberry drinks. how many of each
Delvig [45]
S+g=316  "s"=strawberry "g"=grape
g=52+s

plug in for "g" to find "s"
s+(52+s)=316
2s+52=316
2s=316-52
2s=264
s=264/2
s=132

find "g" 
g=52+132
g=184
4 0
3 years ago
Read 2 more answers
What is the product?
Anton [14]

Answer:

2x^2 +5x-3

Step-by-step explanation:

(x+3)(2x-1)

FOIL

first :(x*2x) = 2x^2

outer: x*-1 = -x

inner: 3*2x = 6x

last: -1 *3 = -3

Add together

2x^2 -x+6x-3

Combine like terms

2x^2 +5x-3

6 0
4 years ago
Read 2 more answers
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