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Archy [21]
2 years ago
12

20 POINTS AND BRAINLIEST!

Mathematics
2 answers:
spayn [35]2 years ago
8 0

Answer:

i honestly dont know i just need the point please marke me as brainleist

Step-by-step explanation:

Advocard [28]2 years ago
7 0

Answer:

<A =21

<B = 84

<c = 75

Step-by-step explanation:

<A =x

<B = 4x

<C =5x-30

The sum of A+B+C = 180

 x+ 4x + 5x-30 = 180

Combine like terms

10x -30 = 180

Add 30 to each side

10x-30+30 = 180+30

10x = 210

Divide by 10

10x/10 = 210/10

x= 21

Since x =21 we can find the value of the angles

Substituting x into the equations for angles A, B and C

<A =21

<B = 4x = 4*21 = 84

<C = 5x-30 = 5*21-30 = 105-30 = 75

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A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes
hammer [34]

Answer:

a) The probability that this whole shipment will be​ accepted is 30%.

b) Many of the shipments with this rate of defective aspirin tablets will be rejected.

Step-by-step explanation:

We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.

We select a sample of size 48 and test for defectives.

If more than one aspirin is defective, the batch is rejected.

The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48

We have to calculate the probabilities that X is equal or less than 1: P(X≤1).

P(X\leq1)=P(X=0)+P(X=1)\\\\\\P(0)=\binom{48}{0}(0.05)^0(0.95)^{48}=1*1*0.0853=0.0853\\\\\\P(1)=\binom{48}{1}(0.05)^1(0.95)^{47}=48*0.05*0.0897=0.2154\\\\\\P(X\eq1)=0.0853+0.2154=0.3007

8 0
3 years ago
a triangle has verticals A(-5,-4), B(2,6), C(4,-3) The center of dilation is the origin and (x,y) (3x,3y). what are the vertices
Gnom [1K]

A' (3(-5),3(-4))= (-15,-12)

B' (3(2),3(6))=(6,18)

C'(3(4),3(-3))=(12,-9)

6 0
1 year ago
The length of a rectangle is 3 centimeters less than four times its width. Its area is 10 square centimeters. Find the dimension
Kay [80]

Answer:

W = 2 cm

L = 5 cm

Step-by-step explanation:

A rectangle is a four sided shape with 4 perpendicular angles. It has two pairs of parallel sides which are equal in distance: width and length. Its area, the amount of space inside it, can be found using the formula A = l*w. If the area is 10 cm² and the length is "3 cm less than 4 times the width" or 4w - 3, you can substitute and solve for w.

A = l*w

10 = (4w - 3)(w)

10 = 4w² - 3w

Subtract 10 from both sides to make the equation equal to 0. Then solve the quadratic by quadratic formula.

4w² - 3w - 10 = 0

Substitute a = 4, b = -3 and c = -10.

w = \frac{3 +/- \sqrt{(-3)^2 - 4(4)(-10)} }{2(4)} = \frac{3 +/- \sqrt{9 +160)} }{8} =  \frac{3 +/- \sqrt{169} }{8} = \frac{3+/-13}{8}

There are two possible solutions which can be found.

3 + 13 / 8 = 16/ 8 = 2

3 - 13 / 8 = -10/8 = -5/4

Since w is a side length or distance, it must be positive so w = 2 cm.

If the width is 2 cm then the length is 4(2) - 3 = 8 - 3 = 5 cm.

8 0
2 years ago
an empty container has a mass of 120 grams. 50 ml of sugar solution is added and the total mass rises to 190g. what is the densi
uranmaximum [27]
The mass of the solution is 190 g - 120 g = 70 g.  Thus, it's density is 70 g / 50 mL = 1.4 g/mL.
7 0
3 years ago
Need help with this! Explain it to plz
nikitadnepr [17]
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------------- =  ---------- = ----- = 1 B
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3 0
3 years ago
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