Answer:
(2, 5)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y - 3x = 1
2y - x = 12
<u>Step 2: Rewrite Systems</u>
y - 3x = 1
- Add 3x on both sides: y = 3x + 1
<u>Step 3: Redefine Systems</u>
y = 3x + 1
2y - x = 12
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2(3x + 1) - x = 12
- Distribute 2: 6x + 2 - x = 12
- Combine like terms: 5x + 2 = 12
- Isolate <em>x</em> term: 5x = 10
- Isolate <em>x</em>: x = 2
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: 2y - x = 12
- Substitute in <em>x</em>: 2y - 2 = 12
- Isolate <em>y </em>term: 2y = 10
- Isolate <em>y</em>: y = 5
Answer:
the test I will perform is d. Two-sided t-test
Step-by-step explanation:
When we are to compare between different data, critical regions occur on both sides of the mean of a normal distribution,they are as a result of two-tailed or two-sided tests.
In such tests, consideration has to be given to values on both sides of the mean.
for this question, it is expected to compare weather it is true that first born have different intelligent or not, weather to accept a null hypothesis or reject.
For example, if it is required to show that the percentage of metal, p, in a
particular alloy is x%, then a two-tailed test is used, since the null hypothesis is incorrect if the percentage of metal is either less than x or more than x.
Answer:
YES
Step-by-step explanation:
First, let's find the total number of seats int he airplane.
14 + 64 + 4 * 108 = 510
The airplane has a total or 510 seats.
Half of the number of seats is 510/2 = 255.
Now let's calculate the number of seats being used and compare with 255.
5/7 * 14 + 5/16 * 64 + 5/9 * 4 * 108 =
= 2 * 5 + 4 * 5 + 12 * 4 * 5
= 10 + 20 + 240
= 270
270 seats are being used.
270 is greater than 255, so more than half of the seats are being used.
Answer: YES
The Venn diagram which represents the distribution of the participant in the drug trial is attached below. The Number of participants in the drug trial that has anxiety is 370
We can find the number of participants who has dizziness(D). Fatigue(F) and anxiety(A) can be calculated thus :
n(D) = n(D only) + (DnF only) + (DnA only) + (DnAnF)
271 = 36 + 86 + 23 + x
271 = 145 + x
x = 271 - 145
x = 126
<u>Number who has </u><u>atleast one of the three</u><u> side effects can be expressed thus</u> :
n(A only) + n(F only) + n(D only) + (DnF only) + (DnA only) + (DnAnF) + n(FnA only) = 585
36 + 23 + 62 + 86 + 126 + 93 + n(FnA) only = 585
- n(FnA only) = 585 - 426 = 159
<u>Number of participants</u><u> who has </u><u>anxiety</u><u> can be calculated thus</u> :
n(DnAnF) + (DnA only) + n(FnA only) + n(A only)
126 + 23 + 159 + 62 = 370 participants
Therefore, 370 of the total participants has Anxiety.
Learn more : brainly.com/question/12570490
