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lutik1710 [3]
2 years ago
14

The velocity of a car on the highway is given by v(t) where 0 ≤ t ≤ 10 in minutes. Which of the following represents the rate at

which the velocity is changing at 2 minutes?
Mathematics
1 answer:
vfiekz [6]2 years ago
4 0

Step-by-step explanation:

v=s/t

0<t represents ie s

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3.5 pounds $1.19 per pound how much did she spend? to the nearest cent
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Evaluate<br> 8a-b<br> if a = 10 and b= 6
solniwko [45]

Answer:

74

Step-by-step explanation:

(8x10) - 6 =

80 - 6 = 74

4 0
1 year ago
Plot the following points to create a rectangle.
Tanya [424]

Answer:

(5, -1)

Step-by-step explanation:

The three coordinates of a triangle are given as:

(5,3), (-5,3), (-5,-1).

To find:

The missing vertex = ?

Solution:

Let us label the vertices:

A (5,3),

B(-5,3),

C(-5,-1).

Let the missing vertex be (x, y).

Let us recall the properties of a rectangle.

The <em>opposite sides</em> of the rectangle are equal and parallel to each other.

Let us consider the side AB, we can see that only x coordinate is changed from A to B.

Let us consider the side BC, we can see that only y coordinate is changed from B to C.

A and B are adjacent vertices.

Similarly the opposite vertices will be C and D.

Same pattern will be followed in CD as that of AB.

x coordinate will be changed by same difference as that of AB.

Change in x coordinate from D to C = -5-x

Change in x coordinate from A to B = -5-5 =-10

Equating them:

-5-x=-10\\\Rightarrow x = 5

Same pattern is followed in BC and AD.

Their change in y coordinate will be same.

-1-3=y-3\\\Rightarrow y =-1

Missing vertex is <em>(5, -1)</em>.

Please refer to the attached image for the rectangle.

3 0
3 years ago
2.
laiz [17]

Answer:

B) 0.02

Step-by-step explanation:

<u>Use the Binomial Theorem</u>

\displaystyle P(X=x)=\binom{n}{x}p^xq^{n-x}\\\\P(X=4)=\binom{30}{4}(0.30)^4(1-0.30)^{30-4}\\\\P(X=4)=\frac{30!}{4!(30-4)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30!}{4!(26)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30*29*28*27}{4*3*2*1}(0.30)^4(0.70)^{26}\\ \\P(X=4)=27405(0.30)^4(0.70)^{26}\\\\P(X=4)\approx0.0208

We have the probability of success, p=0.30, and the probability of failure, q=1-0.30=0.70. The binomial coefficient, \binom{n}{k}, represents the amount of possible combinations that k items can be chosen out of n items, with its respective formula \frac{n!}{k!(n-k)!}.

Hence, the best choice for the probability that 4 students chosen at random from the class of 30 that want the next test to be on Monday will be option B, 0.02

7 0
2 years ago
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