<u>→ Chapter : Linear Equation of Two Variables ←</u>
<em><u>≡ We know that:</u></em>
↔ y = 4x + 6
⇔ 3x + y = 41
↔ y = 41 - 3x
<u><em>≡ Solution:</em></u>
<em>⇔ First, find the value of x:</em>
⇒ y = y
⇒ 4x + 6 = 41 - 3x
⇒ 4x + 3x = 41 - 6
⇒ 7x = 35
<u>⇒ x = 5</u>
<em>⇔ Then, find the value of y:</em>
⇒ y = 4x + 6
⇒ y = 4(5) + 6
⇒ y = 20 + 6
<u>⇒ y = 26</u>
<em>∴ So, the solution of that equation is (5, 26)</em>
Answer:
We do not reject the null
Step-by-step explanation:
Given that :
Sample size, n = 41
Test statistic ; Zstatistic ;= 1.53
Critical value ; Zcritical ; = 2.57
The null hypothesis H0 ;
H0: μ1 - μ2 = 0
Alternative hypothesis, H1 ;
H1: μ1 ≠ μ2
Decision region :
Reject Null ; if |Zstatistic ≥ Zcritical|
Zstatistic > Zcritical
Result :
1.53 < 2.57
Zstatistic < Zcritical
Hence, we do not reject the null ; there is no significant evidence that there is difference in the average yield of the two samples.
Answer: There are 6 bricks in the bag.
Step-by-step explanation:
Convert from mixed number to decimal number. To do it, divide the numerator of the fraction by the denominator and add the result to the whole number part. Then:
Convert from fraction to decimal number. To do it you need to divide the numerator by the denominator. Then, you get:
Let be "x" the number of bricks in the bag<em>.</em>
<em> </em>Based on the information given in the exercise, you can set up the following proportion:
Finally, you must solve for "x" in order to find its value. This is:
Answer:
17
Step-by-step explanation:
5.50 + 1.25 = 6.75
20 - 6.75 = 13.25
13.25 / .75 = 17
he will have $0.50 left
