Answer:
3x +4y = 118
5x+6y =180
y= $25
Step-by-step explanation:
Let x = the cost of a flashlight
Let y = the cost of a sleeping bag
3x +4y = 118
5x+6y =180
Multiply the first equation by -5
-5(3x +4y) = -5*118
-15x -20y = -590
Multiply the second equation by 3
3(5x+6y) =3*180
15x + 18y = 540
Add the modified equations together.
We are using elimination to eliminate the variable x
-15x -20y = -590
15x + 18y = 540
----------------------------
-2y = -50
Divide by -2
-2y/-2 = -50/-2
y =25
Each sleeping bag costs $25
It's rise over run message me and I can explain
Answer:
solution below
Step-by-step explanation:
The question says 6 working mother's were selected so <u>n = 6</u><u> </u><u>not</u><u> </u><u>0</u><u>.</u><u>6</u>
We are expected to find
P(X = 0,1,2,3,4,4,6)
1. <u>When x = 0</u>
6C0*(0.34)⁰*(0.66)⁶
= 1 *1* 0.827
= 0.0827
<u>2. When X = 1</u>
6C1*(0.34)¹*(0.66)⁵
= 6 x 0.34 x 0.252
= 0.2555
<u>3. When X = 2</u>
6C2*(0.34)²*(0.66)⁴
= 15 x 0.1156 x 0.1897
= 0.3289
<u>4. When x = 3</u>
6C3*(0.34)³*(0.66)³
20 x 0.039304 x 0.2875
= 0.2599
<u>5. When X = 4</u>
6C4*(0.34)⁴*(0.66)²
= 15 x 0.01336 x 0.4356
= 0.8729
<u>6. When x = 5</u>
6C5*(0.34)⁵*(0.66)¹
= 6 x 0.0045 x 0.66
= 0.01782
<u>7. When x = 6</u>
6C6*(0.34)⁶*(0.66)⁰
1 x 0.0015 x 1
= 0.0015
Answer:
(-2, 4.111)
(-1, 4.333...)
(0,5)
(1, 7)
Step-by-step explanation:
So for this, you just substitute x with a cero to obtain the x-axis.
So, (0,5)
Then, you do the same with other numbers (replace x) and get the points to later graph it.
Also, you can use desmos, it really helps
Answer:
5. 50.3 m²
6. 113.1 cm²
7. 102.1 yards²
8. 50.3 yards²
9. 452.2 ft²
10.379.8 ft²
Step-by-step explanation:
Area of a circle = nr²
The circumference of a circle = 2nr
n = pi = 22/7
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
radius = diameter / 2
5. (22/7) x 4² = 50.3 m²
6. (22/7) x 6² =113.1 cm²
7. radius = 11.4/2 = 5.7 yards
(22/7) x 5.7² =102.1 yards²
8. radius = 8/2 = 4 yards
(22/7) x 4² = 50.3 yards²
9. 2nr = 75.4 yards
2 x (22/7) x r = 75.4
to find r, divide both sides of the equation by 2 and 7/22
r = 12 ft
Area = (22/7) x 12² = 452.2 ft²
10. 2nr = 69.1 yards
2 x (22/7) x r = 69.1
to find r, divide both sides of the equation by 2 and 7/22
r = 10.99 ft²
Area = (22/7) x 10.99² = 379.8 ft²
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
