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Elza [17]
3 years ago
5

What is the value of x in the equation? 5 1 10 x − 6 4 5 = 3 1 4 A) 1 1 9 B) 1 1 5 C) 1 3 20 D) 1 33 34

Mathematics
1 answer:
Butoxors [25]3 years ago
6 0

Answer:

no answer in choose

Step-by-step explanation:

b/c 5110x- 645=314

5110x=314+645

5110x=959

x=0.19

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According to data from the state blood program, 40 percent of all individuals have group A blood. If six individuals give blood,
Serjik [45]

Answer: 0.27648

Step-by-step explanation:

Given : The proportion of all  individuals have group A blood : p=0.040

Total individuals give blood : n= 6

Let X be the number of individuals have group A blood.

Since all individual are independent of each other.

X\sim Bin(n=6, p=0.40)

Formula : P(X=x)=^nC_xp^x(1-p)^{n-x} , where n= sample size , p = probability of getting success in each trial.

The probability that exactly three of the individuals have group A blood. :

P(x=3)= ^6C_3(0.40)^3(1-0.4)^3\\\\= \dfrac{6!}{3!3!}\times(0.40)^3(0.60)^3\\\\=0.27648

The probability that exactly three of the individuals have group A blood. is 0.27648

8 0
3 years ago
Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle is translated 4 units down and 3 units left. Which rule r
crimeas [40]

Option C: (x, y) \rightarrow(x-3, y-4) ; (5,-1) is the coordinates of C after translation.

Explanation:

The triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3).

Also, given that the triangle is translated 4 units down and 3 units left.

We need to determine the coordinates of the vertex C after translation.

The triangle is shifted 4 units down means subtracting 4 units from the y - coordinate of the graph.

Thus, it can be written as y-4

Also, the triangle is shifted 3 units left means subtracting 3 units from the x - coordinate of the graph.

Thus, it can be written as x-3

Thus, the translation is given by

(x, y) \rightarrow(x-3, y-4)

The vertices of C after translation can be determined by

(8, 3) \rightarrow(8-3, 3-4)\implies (5,-1)

Thus, (x, y) \rightarrow(x-3, y-4) ; (5,-1) is the coordinates of C after translation.

Hence, Option C is the correct answer.

3 0
3 years ago
Read 2 more answers
80 81 82 83 84 85 86 87 88 89 90
cluponka [151]

Answer:

Step-by-step explanation:

Um... there is no "Lorenzo's scores."

8 0
3 years ago
A circle with radius 4 inches is inscribed in an equilateral triangle. Find the area of the triangle.
LUCKY_DIMON [66]

The inscribed circle has its center at the point of intersection of the angle bisectors, which also happen to be the medians. Hence the altitude of the triangle is 3 times the radius, or 12 inches.

The side length of this triangle is 2/√3 times the altitude, so the area is

... Area = (1/2)·b·h = (1/2)·(24/√3 in)·(12 in)

... Area = 48√3 in² ≈ 83.1384 in²

7 0
3 years ago
Esther pays $355 per month for 5 years for a car. She made a down payment of $2,500. If the loan costs 7.1% per year compounded
oksano4ka [1.4K]
The cash price of the car includes the amount of the loan plus the amount of the down payment
Cash price=the loan of the car+down payment

First find the amount of the loan by using the formula of the present value of an annuity ordinary which is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Pv the amount of the loan ?
PMT payment per month 355
R interest rate 0.071
K compounded monthly 12
N time 5years
Pv=355×((1−(1+0.071÷12)^(−12
×5))÷(0.071÷12))
=17,885.56

Cash price=17,885.56+2,500
=20,385.56....answer
5 0
3 years ago
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