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ZanzabumX [31]
3 years ago
8

Write a linear function with the values f(-1)=8 and f(5)=6

Mathematics
1 answer:
lukranit [14]3 years ago
3 0
(-1,8) and (5,6) are points on the line.
Slope of line = (8-6)/(-1-5) = 2/(-6) = -⅓
y-6 = -⅓(x-5)
y = -⅓x + 5/3 + 6 = -⅓x + 7⅔
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Find the values of f(x) = 8x²-1 for the domain values {-2,5} (input answers from least to greatest}
Whitepunk [10]

Answer:

So i just used the calculator to help me find the two co exisiting lines and then worked my way up to find the nearest decimal to fit the equation for the missing parablar length which was parallel to find the cointerior angle which lead me to get a decimal number involving an ordinary form number.

7 0
2 years ago
Simply 3 26/27 + 2 3/4 + 15 1/9
cupoosta [38]
1) 3+2+15=20
2) 3/4= 27/36  1/9=4/36
3) 27/36+4/36=31/36
4) 26/27=936/972   31/36= 637/972
5) 936/972 + 637/972= 1573/972=  1 601/972
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3 years ago
Read 2 more answers
Can someone plz help me with math?? theres only 3 parts!!!
vovikov84 [41]
To find the volume of each prism, you will multiply the length by the width by the height.

V = lwh
3 3/4 x 3 x 3 1/4
V = 36 9/16 cubic feet

V = lwh
1/4 x 1/4 x 1/4
V= 1/64 cubic feet

Both boxes are similar in that they can be described as a rectangular prism.

They are different because one prism has congruent edges, so we call it a cube. The other one has varying side lengths, therefore it is only a rectangular prism.

3 0
3 years ago
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Andrea's living room floor is a rectangle 12 feet by 15 feet. She wants to buy a rug that is geometrically similar to her living
Sliva [168]

Answer:

180 square feet

Step-by-step explanation:

A rug that is geometrically similar to her room floor is one that has the same size as her room floor.

The floor has dimensions 12 feet by 15 feet.

The area of the floor and hence, the rug is:

A = 12 * 15 = 180 square feet

She should buy a rug that is 180 square feet

7 0
3 years ago
Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 64% of vehi
ira [324]

Answer:

a) 0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

b) 0.996 is the probability that more than half of the vehicles  carry just one person.    

Step-by-step explanation:

We are given the following information:

A) Binomial distribution

We treat vehicle on road with one passenger as a success.

P(success) = 64% = 0.64

Then the number of vehicles follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

P(x \geq 6) = P(x =6) +...+ P(x = 10) \\= \binom{10}{6}(0.64)^6(1-0.64)^4 +...+ \binom{10}{10}(0.64)^{10}(1-0.79)^0\\=0.7291

0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

B) By normal approximation

Sample size, n = 92

p = 0.64

\mu = np = 92(0.64) = 58.88

\sigma = \sqrt{np(1-p)} = \sqrt{92(0.64)(1-0.64)} = 4.60

We have to evaluate the probability that more than 47 cars carry just one person.

P(x \geq 47)

After continuity correction, we will evaluate

P( x \geq 46.5) = P( z > \displaystyle\frac{46.5 - 58.88}{4.60}) = P(z > -2.6913)

= 1 - P(z \leq -2.6913)

Calculation the value from standard normal z table, we have,  

P(x > 46.5) = 1 - 0.004 = 0.996 = 99.6\%

0.996 is the probability that more than half out of 92 vehicles carry just one person.

5 0
3 years ago
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