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Firdavs [7]
2 years ago
6

A store manager is inspecting two large bags of nuts. In bag A, 35% of the nuts are cashews. In bag B, 40% of the nuts are cashe

ws. She selects a simple random sample of 30 nuts from bag A and a simple random sample of 35 nuts from bag B. What is the approximate probability that the proportion of cashews in the sample from bag A is greater than the proportion of cashews from bag B
Mathematics
1 answer:
MrMuchimi2 years ago
3 0

Answer:

0.339

Step-by-step explanation:

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The kittens, Annie and Josie, are pushing a ball, Annie with a force magnitude of 80 N in a direction of 133 degrees, and Josie
kvv77 [185]

Answer: Then the magnitude of the force is 37.86N, and the direction is 54.35°

Step-by-step explanation:

We can write the forces as vectors.

We know that Annie pushes with a magnitude of 80N in a direction of 133° (Remember that the angles are always measured from the x-axis)

The components of this force, (Ax, Ay), are then:

Ax = 80N*cos(133°)

Ay = 80N*sin(133°)

And we know that Josie pushes with a magnitude of 95N in direction of 290°

The components of this force, (Jx, Jy), are:

Jx = 95N*cos(290°)

Jy = 95N*sin(290°)

When we add these forces, the total force acting on the ball is:

F = (80N*cos(133°) ,  80N*sin(133°)) + (95N*cos(290°), 95N*sin(290°))

F = (80N*cos(133°) + 95N*cos(290°), 80N*sin(133°) + 95N*sin(290°))

Now, the third kitten wants to do a force K, in a direction θ, such that the net force acting on the ball is zero.

Then we must have that, each component of the force of the third cat (K*cos(θ)  on the x-axis and k*sin(θ) on the y-axis), is such that:

K*cos(θ) + 80N*cos(133°) + 95N*cos(290°) = 0

k*sin(θ)  + 80N*sin(133°) + 95N*sin(290°) = 0

Now we need to solve that system for k and θ

if we simplify the equations we get:

k*cos(θ) - 22.07N = 0

k*sin(θ)  -30.76N  = 0

Now we can rewrite them as:

k*cos(θ) = 22.07N

k*sin(θ)   = 30.76N  

Now we can take the quotiet between both equations to get:

(k*sin(θ))/(k*cos(θ)) = 30.76N/22.07N

Tan(θ) = 1.394

θ = Atan(1.394) = 54.35°

Now that we know the angle, we can find the value of the magnitude k, by using one of the two equations of the system:

k*cos(54.35°) = 22.07N

k = 22.07N/cos(54.35°) = 37.86N

Then the magnitude of this force is 37.86N, and the direction is 54.35°

7 0
2 years ago
HELP ME PLEASEEEEEEE
scoray [572]

Answer:

It would be in this order:

Types of Quads:

Rectangle

Square

Rhombus

Trapezoid

Type of Triangles:

Equaliteral

Isoceles

Scalene

Step-by-step explanation:

Hope it helps

6 0
3 years ago
Larissa takes a dose of 4 drops of medicine every day, three times a day. One milliliter (mL) of the medicine contains about 20
professor190 [17]

Answer:

The bottle will last for 20 days.

Step-by-step explanation:

Given that:

Number of drops in a dose = 4 drops

Dose is taken three times a day, therefore,

Number of drops taken in a day = 4*3 = 12 drops

One milliliter = 20 drops

12 mL = 20*12 = 240 drops

Number of days the bottle will last can be find out by calculating total number of drops by the number of drops consumed in a day.

Number of days bottle will last = \frac{240}{12}=20

Hence,

The bottle will last for 20 days.

3 0
3 years ago
Lucy went for a drive in her new car. She drove for 3 hours at a speed of 37.5 miles per hour. For how many miles did she drive?
zimovet [89]

Answer:

She drove a 122.5 miles

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
I really need help with number 3 and 4 please help me
madam [21]
#3) 9/3= 3
      90/3=30
      900/3=300
      9.000/3=3.3000
#4)1/2, 2/3, 2/5, 3/4
8 0
3 years ago
Read 2 more answers
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