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son4ous [18]
3 years ago
9

Believe this is worth 7 pts please help!

Mathematics
1 answer:
salantis [7]3 years ago
7 0

Answer:

-12

Step-by-step explanation:

The average rate of change is found by

f(4) - f(2)

---------------

4-2

32 - 56

----------

4-2

-24

------

2

-12

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Find the length of STV in the figure.
o-na [289]

Answer: The length of STV is about 76.83 in.

Step-by-step explanation:

The length of an arc is given by :-

l=\frac{\theta}{360^{\circ}}\times2\pi r, where r= radius of the cirle, \theta is the central angke made by arc.

As per given , Radius of the circle : r= 20 in

Central angle of arc SCV = 140^{\circ}

Then, Central angle of arc SCV = 360^{\circ}-140^{\circ}=220^{\circ}

Then, the length of the arc STV =

l=\frac{220^{\circ}}{360^{\circ}}\times2(\frac{22}{7}) (20)\\\\=\frac{11}{18}\times\frac{880}{7}\\\\=76.8253968254\approx76.83\text{ in.}

Hence, the length of STV is about 76.83 in.

5 0
3 years ago
Help plz!<br> I suck at math, and I have already failed this quiz 2 times.
kondaur [170]
It’s A yw loves....
8 0
2 years ago
Delta makes 12-volt car batteries. These batteries are known to be normally
blondinia [14]

Answer:

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that the sample size n =12 -volt car batteries</em>

<em>Let  'X' be a Random variable in a normal distribution</em>

<em>Given that mean of the normal distribution = 45 months</em>

<em>Given that the Standard deviation of the normal distribution = 8months</em>

<u><em>Step(ii):-</em></u>

Let  X₁ = 3 years = 12 × 3 = 36 months

Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125

Let X₂ = 4 years  = 12 × 4 = 48 months

Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375

<u><em>Step(iii)</em></u>:-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = P(-1.125≤Z≤0.375)

                   = P(Z≤0.375) - P(Z≤-1.125)

                   = 0.5 +A(0.375) - (0.5-A(1.125)

                   = 0.5 + 0.1480 - (0.5 -0.3708)

                  = 0.1480 + 0.3708

                 = 0.5188

<u><em>Final answer:-</em></u>

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

<em />

5 0
2 years ago
The probability of winning a lottery by selecting the correct six integers from the positive integers not exceeding 50 is _____
GREYUIT [131]
Can you add the picture ?? If you don’t mind?? It helps me Answer better
8 0
2 years ago
Which ordered pair does NOT lie on the graph of h(x)=-2x + 7
Rus_ich [418]

Answer:

A

Step-by-step explanation:

To determine if the ordered pairs lie on the graph, substitute the x- coordinate of the point into the equation and if the value agrees with the y- coordinate of the point then it lies on the graph

A

x = - 2 : y = -2(- 2) + 7 = 4 + 7 = 11 ≠ 3 ← (-2,3) not on graph

B

x = - 1 : y = - 2(- 1) + 7 = 2 + 7 = 9 ← (- 1, 9) lies on graph

C

x = 3 : y = -2(3) + 7 = - 6 + 7 = 1 ← (3, 1) lies on graph

D

x = 4 : y = - 2(4) + 7 = - 8 + 7 = - 1 ← (4, - 1) lies on graph

8 0
2 years ago
Read 2 more answers
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