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2 years ago

1. Which is equivalent to this expression?

Mathematics

2 answers:

makkiz [27]2 years ago

8 0

A.
Hope this helped sjsujsjejejsjs

My name is Ann [436]2 years ago

5 0

Answer:

totyo drift

Step-by-step explanation:

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99 points AND BRAINLIEST answer to the person who can do this for me. I WILL REPORT ANY DUMB ANSWERS! PLEASE HELP ASAP!

Evgen [1.6K]

ΔADC ≅ ΔBCD (SAS congruency)

∠AED ≅ ∠BEC (opposite angles)

ΔAED ≅ ΔBEC (ASA congruency)

Therefore DE <span>≅ CE (corresponding sides of the two congruent triangles AED and BEC)</span>

8 0

2 years ago

Read 2 more answers

What's the slope of the line?

mixas84 [53]

Answer:

The slope is -1

Step-by-step explanation:

It's decreasing which means it's negative and it decreases by 1 every time x increases by 1.

6 0

2 years ago

A pen company averages 1.2 defective pens per carton produced (200 pens). The number of defects per carton is Poisson distribute

nlexa [21]

Answer:

a. P(x = 0 | λ = 1.2) = 0.301

b. P(x ≥ 8 | λ = 1.2) = 0.000

c. P(x > 5 | λ = 1.2) = 0.002

Step-by-step explanation:

If the number of defects per carton is Poisson distributed, with parameter 1.2 pens/carton, we can model the probability of k defects as:

$P(k)=\frac{\lambda^{k}e^{-\lambda}}{k!}= \frac{1.2^{k}\cdot e^{-1.2}}{k!}$

a. What is the probability of selecting a carton and finding no defective pens?

This happens for k=0, so the probability is:

$P(0)=\frac{1.2^{0}\cdot e^{-1.2}}{0!}=e^{-1.2}=0.301$

b. What is the probability of finding eight or more defective pens in a carton?

This can be calculated as one minus the probablity of having 7 or less defective pens.

$P(k\geq8)=1-P(k$

$P(0)=1.2^{0} \cdot e^{-1.2}/0!=1*0.3012/1=0.301\\\\P(1)=1.2^{1} \cdot e^{-1.2}/1!=1*0.3012/1=0.361\\\\P(2)=1.2^{2} \cdot e^{-1.2}/2!=1*0.3012/2=0.217\\\\P(3)=1.2^{3} \cdot e^{-1.2}/3!=2*0.3012/6=0.087\\\\P(4)=1.2^{4} \cdot e^{-1.2}/4!=2*0.3012/24=0.026\\\\P(5)=1.2^{5} \cdot e^{-1.2}/5!=2*0.3012/120=0.006\\\\P(6)=1.2^{6} \cdot e^{-1.2}/6!=3*0.3012/720=0.001\\\\P(7)=1.2^{7} \cdot e^{-1.2}/7!=4*0.3012/5040=0\\\\$

$P(k$

c. Suppose a purchaser of these pens will quit buying from the company if a carton contains more than five defective pens. What is the probability that a carton contains more than five defective pens?

We can calculate this as we did the previous question, but for k=5.

$P(k>5)=1-P(k\leq5)=1-\sum_{k=0}^5P(k)\\\\P(k>5)=1-(0.301+0.361+0.217+0.087+0.026+0.006)\\\\P(k>5)=1-0.998=0.002$

5 0

3 years ago

after 45 sec camdens bathtub fills with 3 inches of water how many seconds will it take to fill tub with 20 inches of water?

Marizza181 [45]

3/45 = 20/x...3 in to 45 seconds = 20 in to x seconds
cross multiply
(3)(x) = (45)(20)
3x = 900
x = 900/3
x = 300...300 seconds (or 5 minutes)to fill the tub with 20 inches

4 0

3 years ago

The height of a triangle is 4 m less than its base. the area of the triangle is 48m^2 what is thr length of the base

romanna [79]

Base = x
height = x-4
Area = .5 * height * base
48 = .5 * (x-4) * x
96 = x^2 -4x
x^2 -4x -96=0
x = 12
base = 12
height = 8

8 0

3 years ago