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1 year ago

Every 4 hours a machine produces 12 baskets what is the unit rate

Mathematics

2 answers:

tatyana61 [14]1 year ago

8 0

Answer:

Step-by-step explanation:

3 hours per basket

yanalaym [24]1 year ago

6 0

Answer:

unit rate of 3

Step-by-step explanation:

12/4 = 3 basket per hour

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Special taxes may be placed on an estate.<br> true<br> or<br> false

kondor19780726 [428]

Answer:false

Step-by-step explanation:

5 0

2 years ago

A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is

Vladimir79 [104]

Answer:

Step-by-step explanation:

Since the distance travelled on 1 gallon of fuel is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the distance travelled.

µ = mean distance

σ = standard deviation

From the information given,

µ = 50 miles

σ = 8 miles

A) P(x > 53) = 1 - P(x ≤ 53)

For x = 53,

z = (53 - 50)/8 = 0.38

Looking at the normal distribution table, the probability value corresponding to the z score is 0.648

B) P(x < 42)

For x = 42

z = (42 - 50)/8 = - 1

Looking at the normal distribution table, the probability value corresponding to the z score is 0.1587

C) P(44 ≤ x ≤ 53)

For x = 44

z = (44 - 50)/8 = - 0.75

Looking at the normal distribution table, the probability value corresponding to the z score is 0.2266

For x = 55,

z = (55 - 50)/8 = 0.63

Looking at the normal distribution table, the probability value corresponding to the z score is 0.7357

Therefore,

P(44 ≤ x ≤ 53) = 0.7357 - 0.2266 = 0.5091

8 0

1 year ago

Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is

Katarina [22]

Answer: A

Step-by-step explanation:

5 0

2 years ago

Suppose that a college determines the following distribution for X = number of courses taken by a full-time student this semeste

lidiya [134]

Answer:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74$ In order to find the variance we need to calculate first the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36$ And the variance is given by:

$Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924$

And the deviation would be:

$Sd(X) =\sqrt{0.8924} =0.9447$

Step-by-step explanation:

Previous concepts

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).

Solution to the problem

For this case we have the following distribution given:

X 3 4 5 6

P(X) 0.07 0.4 0.25 0.28

We can calculate the mean with the following formula:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74$

In order to find the variance we need to calculate first the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36$

And the variance is given by:

$Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924$

And the deviation would be:

$Sd(X) =\sqrt{0.8924} =0.9447$

3 0

2 years ago

Kendrick and Rishaun spend a total of $112 at an amusement park. They spend $32 on parking, $12 on lunch, and the rest on 2 admi

Elena-2011 [213]

Each ticket is $34 each
32+12+2x=112
44+2x=112
-44 -44
———————-
2x=68
— —
2 2
x=$34

6 0

2 years ago