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daser333 [38]
3 years ago
5

I need help. PQRS is an isosceles trapezoid. Enter coordinates for point R.

Mathematics
1 answer:
MakcuM [25]3 years ago
4 0

Step-by-step explanation:

The trapezoid is isosceles, so PQ is the same length as RS, meaning the trapezoid is symmetrical.

Therefore, R is at (c−a, b).

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The position of an object at time t is given by s(t) = -9 - 3t. Find the instantaneous velocity (by using the limit) at t = 8 by
Ede4ka [16]

Answer: v=-3

Step-by-step explanation:

Given

The position of a particle is s(t)=-9-3t

Velocity is given by the derivative of position with respect to time

\Rightarrow v=\dfrac{ds}{dt}\\\Rightarrow v=-3

So, velocity is constant at any point in time.

At t=8, it is v=-3

5 0
3 years ago
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes
DerKrebs [107]

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
Solve for Y<br><br> ABC = DEF
suter [353]

Answer:

12

Step-by-step explanation:

△ABC ≅ △DEF means that these two triangles are congruent to each other. Congruent triangles also have corresponding sides and angles that are equal to each other!

This means that angle A corresponds to angle D; and thus, we can set up in equation for these two to solve for y.

First, let's try to decipher what exactly we are solving. Y is what we are multiplying by five to get 60°, or angle A (congruent angle).

Now, we just solve it!

60=5y

y=12

4 0
3 years ago
PLEASE HELP QUICK!! If the probability of an event is 0.95, what is the probability of its complement?
Scrat [10]
.05
Complement=1-probability
1-.95=.05
6 0
4 years ago
Read 2 more answers
HELP ME GUYS PLZ I NEED HELP 15 POINTS ON THE LINE!! AND BRAINLIEST!!!!which expression calculates the speed in meters per secon
irakobra [83]

Answer:

Step-by-step explanation:

distance = rate * time.( d = rt).....rate is speed....but we are looking for rate, so let me rearrange this formula...... r = d / t

r = d / t

distance (d) = 40m

time (t) = 10 seconds

so the rate (speed) can be found thru division....

r = 40 / 10 = 4m per second

so 40 divided by 10 is ur answer <===

5 0
3 years ago
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