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irga5000 [103]
3 years ago
8

i had $3 and my mom gave me $10 and my father gave $30 and my aunt and my uncle gave me $100 and i had another $7.how did i have

​
Mathematics
1 answer:
EleoNora [17]3 years ago
5 0

Answer: The answer is $150.00

I hope this helps

Step-by-step explanation:

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Given A(2,0) and B(8,4), show that P(3,5) is on the perpendicular bisector of line AB by these 2 methods
Shalnov [3]

1) First we need to find midpoint M of segment AB.

... M = (A+B)/2 = ((2+8)/2, (0+4)/2) = (5, 2)

Then vector AB is B-A = (8-2, 4-0) = (6, 4)

and vector PM is P-M = (3-5, 5-2) = (-2, 3)

The latter has slope that is 3/-2 = -3/2. The former has slope that is 4/6 = 2/3.

The product of these slopes is -1, indicating these vectors are perpendicular.

2) Vector PA is P-A = (3-2, 5-0) = (1, 5).

Vector PB is P-B = (3-8, 5-4) = (-5, 1).

The lengths of both of these vectors are √(1²+5²) = √26.

7 0
3 years ago
Find the minimum or maximum value of the function g(x)=−3x2−6x+5
polet [3.4K]

Step-by-step explanation:

g(x) = ax²+bx+c

g(x)=−3x²−6x+5

a = -3, b= -6, c = 5

since a <0 , the function has only maximum value.

=> g'(x) = 0

-6x -6 = 0

-6x = 6

x = -1

the maximum value => g(-1) =

-3(-1)²-6(-1)+5 = -3+6+5 = 9

the domain : {x | x € Real numbers}

the range : {y| y ≤ 9, y € Real numbers}

the function is increasing for x < -1

the function is decreasing for x > -1

4 0
3 years ago
A stone is an Old English unit of weight and equal to 14 slug. How many kilograms are there in 6 stones? (1 slug = 14.59 kg) Ans
Ber [7]

Answer:

1225.56 kg

Step-by-step explanation:

1 stone = 14 slugs

1 slug = 14.59 kg

\text{6 stones} ( \dfrac{14 slug}{1 stone})(\dfrac{14.59 kg}{1 slug})

numerator 6 * 14 * 14.59 = 1225.56 kg

denominator = 1

Answer 1225.56 kg in 6 stones

8 0
3 years ago
Brad is installing a hot tub in his 30 ft by 20 ft back yard. The hot tub has a radius of 5 feet. If he randomly shoots
ddd [48]

Answer:

13% chance

Step-by-step explanation:

Area of backyard = length * width

A = 30 ft * 20 ft

A = 600 ft^{2}

Area of bathtub = π r^{2}

A = π * 5^{2}

A = 78.54 ft^{2}

Probability of arrow landing in tub can be found by dividing Area of the bathtub by the area of the backyard, and then multiplying by 100 for a percentage

Prob. = 78.54/600

Prob. = 0.13

Prob. = 0.13 * 100

Prob. = 13%

7 0
3 years ago
According to a Human Resources report, a worker in the industrial countries spends on average 419 minutes a day on the job. Supp
MA_775_DIABLO [31]

Answer:

A) Between 388 and 450

B) Between 357 and 481

C) Between 326 and 512

D) 99.995%

E) 72.907%

Step-by-step explanation:

We are given;

Mean; x¯ = 419 minutes

Standard deviation; σ = 31 minutes

A) From the empirical rule, 68% falls within 1 standard deviation.

Thus, it will be between;

419 - 1(31) and 419 + 1(31)

Thus gives;

Between 388 and 450

B) From the empirical rule, 95% falls within 2 standard deviation.

Thus, it will be between;

419 - 2(31) and 419 + 2(31)

Thus gives;

Between 357 and 481

C) From the empirical rule, 99.7% falls within 2 standard deviations.

Thus, it will be between;

419 - 3(31) and 419 + 3(31)

Thus;

Between 326 and 512

D)between 359 and 479 minutes, we will use z-s roe formula;

z = (479 - 359)/31

z = 3.871

From the z-table attached, we see that the probability is 0.99995 and as such, the percentage is 99.995%

E) worker spent 400 minutes on the job.

Thus;

z = (419 - 400)/31

z = 0.613

From z-tables, p = 0.72907

In percentage, we have; 72.907%

6 0
3 years ago
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