Answer:
a. 0.71
b. 0.9863
Step-by-step explanation:
a. From the histogram, the relative frequency of houses with a value less than 500,000 is 0.34 and 0.37
-#The probability can therefore be calculated as:
Hence, the probability of the house value being less than 500,000 is o.71
b.
-From the info provided, we calculate the mean=403 and the standard deviation is 278 The probability that the mean value of a sample of n=40 is less than 500000 can be calculated as below:
Hence, the probability that the mean value of 40 randomly selected houses is less than 500,000 is 0.9863
Answer: <em> 
</em>
Step-by-step explanation:
<h3>
<em>
The complete exercise is:"A gardener has 27 tulip bulbs, 45 tomato plants, 108 rose bushes, and 126 herb seedlings to plant in the city garden. He wants each row of the garden to have the same number of each kind of plant. What is the greatest number of rows that the gardener can make if he uses all the plants?"</em></h3><h3 />
The first step to solve the exercise is to find the Greatest Common Factor (GCF) between 27, 45, 108 and 126.
You can follow these steps in order to find the GCF:
1. You must decompose 27, 45, 108 and 126into their prime factors:
2. You must multiply the commons with the lowest exponents. Then:
<em>
</em>
Therefore, the greatest number of rows that the gardener can make if he uses all the plants is:
Answer:
1.95secs
Step-by-step explanation:
Given the height of the float expressed as h(t) = -16t2 - 3t + 55.
The floats reach the swimmer at h(t) = 0
Substitute
0 = -16t^2 - 3t + 55.
16t^2 + 3t - 55 = 0
Using the general formula;
t = -3±√3²-4(16)(-55)/2(16)
t = 3±√9+3520/32
t = 3±√3529/32
t = 3+59.41/32
t = 62.41/32
t = 1.95
Hence it will take 1.95secs
Answer:
The amount of change she received was 
dollar.
Step-by-step explanation:
Price of each carton of milk is 
cents and she bought 3 cartons of milk.
We know that, <u>1 dollar = 100 cents</u>
So, 1 cent = 
dollar.
and cents 
dollar.
Thus, <u>the total price of 3 cartons of milk</u> 
dollar.
She gave the cashier $10.
So, the amount of change she received 
dollar.
The Given Expression is : → x² + 13
= x² + (√13)²
= x² - ( i √13)² As , i²= -1 because , i = √-1
= (x - i√13)(x +√13) → Using the formula , A² - B² = (A-B)(A+B)
Out of the four options Given : Option C →(x - i√13)(x +√13) is true regarding the expansion of function x² + 13.
