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Georgia [21]
3 years ago
13

What area formula does a triangle have?

Mathematics
2 answers:
ANTONII [103]3 years ago
7 0

Answer:

The area of a triangle can be found using:

a=1/2 bh

or

a=(bh)/2

where b is the base and h is the height

EastWind [94]3 years ago
7 0

Answer:

Perimeter of a triangle = a + b + c. Area\; of \; a\; triangle= \frac{1}{2}bh. Where, b is the base of the triangle. h is the height of the triangle.

Hope this helps you:)

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Question Help When purchasing bulk orders of​ batteries, a toy manufacturer uses this acceptance sampling​ plan: Randomly select
horrorfan [7]

Answer:

The probability is P(X  \le 2 ) = 0.9072

The company will accept 90.72% of the shipment and will reject (100 -90.72) =  9.2\% of the shipment , so many of the shipment are rejected

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  36

   The  proportion that did not meet the requirement is  p =  0.03

Generally the probability that the whole shipment is accepted is equivalent to the probability that there is at most 2 batteries that do not meet the requirement , this is mathematically represented as

     P(X  \le 2 ) = [ P(X =  0 ) +  P(X =  1 ) + P(X = 0)]

=>   P(X  \le 2 ) = [ [^{n}C_0 * (p)^{0} *(1-p)^{n-0} ] +  [^{n}C_1 * (p)^{1} *(1-p)^{n-1} ] +  [^{n}C_2 * (p)^{2} *(1-p)^{n-2} ]]

Here C stands for Combination (so we will be making the combination function in our  calculators )

So

=> P(X  \le 2 ) = [ [^{36}C_0 * (0.03)^{0} *(1-0.03)^{36-0} ] +  [^{36}C_1 * (0.03)^{1} *(1-0.03)^{36-1} ] +  [^{36}C_2 * (0.03)^{2} *(1-0.03)^{36-2} ]]

=> P(X  \le 2 ) = [ [1 * 1 * 0.3340  ] +  [36* 0.03 *0.3444 ] +  [630 * 0.0009 *(0.355 ]]

=>P(X  \le 2 ) = 0.9072

The company will accept 90.72% of the shipment and will reject (100 -90.72) =  9.2\% of the shipment , so many of the shipment are rejected

 

8 0
3 years ago
What is the equation of a line that passes through point R(3, 7) and has a slope of 6?
elena55 [62]
Y=mx+b
7=6(3)+b
7-18=b
b=-11
y=6x-11 (i guess that is the answer)
4 0
3 years ago
An item has a listed price of $65 . If the sales tax rate is 3%, how much is the sales tax (in dollars)?
larisa86 [58]

Answer:

$1.95         hope this helped

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
An insurance policy on an electrical device pays a benefit of 4000 if the device fails during the first year. The amount of the
lora16 [44]

Answer:

Expected benefit under this policy = $ 2694

Step-by-step explanation:

Given - An insurance policy on an electrical device pays a benefit of

            4000 if the device fails during the first year. The amount of the

            benefit decreases by 1000 each successive year until it reaches 0.

            If the device has not failed by the beginning of any given year, the

            probability of failure during that year is 0.4.

To find - What is the expected benefit under this policy ?

Proof -

Let us suppose that,

The benefit = y

Given that, the probability of failure during that year is 0.4

⇒Probability of non-failure = 1 - 0.4 = 0.6

Now,

If the device fail in second year , then

Probability = 0.6×0.4

If the device fail in third year, then

Probability = 0.6×0.6×0.4 = 0.6² × 0.4

Going on like this , we get

If the device is failed in n year, then

Probability = 0.6ⁿ⁻¹ × 0.4

Now,

The probability distribution is-

Benefit , x       4000       3000             2000            1000              0

P(x)                 0.4         0.6×0.4         0.6² × 0.4     0.6³ × 0.4     1 - 0.8704

                      (0.4)       (0.24)            (0.144)         (0.0864)       (0.1296)

At last year, the probability = 1 - (0.4+ 0.24+ 0.144+ 0.0864) = 1 - 0.8704

Now,

We know that,

Expected value ,

E(x) = ∑x p(x)

       = 4000(0.4) + 3000(0.24) + 2000(0.144) + 1000(0.0864) + 0(0.1296)

       = 1600 + 720 + 288 + 86.4 + 0

       = 2694.4

⇒E(x) = 2694.4 ≈ 2694

∴ we get

Expected benefit under this policy = $ 2694

5 0
2 years ago
Brenna is going on a backpacking trip with her family. They need to hike to their favorite camping spot and set up the camp befo
Nostrana [21]

Answer:

Latest time for start hiking = 4:57 PM

Step-by-step explanation:

Given:

Time of sunset = 9:26 P.M

Time taken for hiking = 3 hours and 3 minutes (03:03)

Time taken for set up = 1 hour and 26 minutes (1:26)

Find:

Latest time for start hiking

Computation:

Latest time for start hiking = Time of sunset - Time taken for set up - Time taken for hiking

Latest time for start hiking = 9:26 - 1:26 - Time taken for hiking

Latest time for start hiking = 8:00 PM - 03:03

Latest time for start hiking = 7:60 - 03:03

Latest time for start hiking = 4:57 PM

6 0
3 years ago
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