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
Based on the model, the total amount of money in the joined account after the 5 weeks is $767.30
<h3>What are linear equations</h3>
Linear equations are equations that have constant rates
A linear equation is represented as:
y = mx+ b
In this case,
- m represents the deposit per week
- b represents the initial deposit
So, the linear equations are:
- y =153.46x --- for Monica
- y = 128.90+ 127.68x -- For Lauren
To calculate the number of weeks, when they have the same amount, we equate both equations
Collect like terms
Solve for x
Substitute 5 for x in
Hence, it will take 5 weeks for both accounts to have the same amount of $767.30
Read more about linear equations at:
brainly.com/question/14323743
Explanation:
The circumference and the are of a circle with radius r
are:
If we use pi = 3.14 and the radius is 9m:
Answers:
• Area: ,254.34 m²
,
• Circumference: ,56.52 m
First, you need to rewrite the expression into binomial form, so you are working with two terms (as you world with a quadratic):
(x²)²-3(x²)-4=0
Now, you can place the x²s into brackets as the coefficient is now 1:
(x² )(x² )
Next, find out two numbers that add together to give you -3 and multiply to give -4 (these are the leftover integers after removing the x²s). These two numbers are -4 and 1.
Place the -4 and 1 into the brackets:
(x²-4)(x²+1)=0
Notice that the x²-4 is a difference of two squares, so can be further factorised into (x+2)(x-2)
This leaves you with a final factorisation of:
(x+2)(x-2)(x²+1)=0
Now we handle each bracket individually to obtain our four solutions for x:
x+2=0
x=-2
x-2=0
x=2
x²+1=0
x²=1
x=<span>±1</span>
Answer:
f(1) = 3
Step-by-step explanation:
f(t) = t² - 1t + 3
we want to find f(1)
all we have to do is replace the t's with 1 and evaluate
f(1) = (1)² - 1(1) + 3
evaluate exponent 1² = 1
f(1) = 1 - 1(1) + 3
multiply
f(1) = 1 - 1 + 3
subtract
f(1) = 3
