Step-by-step explanation:
a^2 + b^2 = c^2
a = 6
b = x
c = 11
6^2 + b^2 = 11^2
36 + b^2 = 121
b^2 = 121 - 36
b^2 = 85
Find the square root of both sides.
b = 9.22
Peter rolls 2 fair dica and adds tje result from each.worl out the probability of getting a total of 11
Answer:
6/11
Step-by-step explanation:
During a flu vaccine shortage in the United States, it was believed that 45 percent of vaccine-eligible people received flu vaccine. The results of a survey given to a random sample of 2,350 vaccine-eligible people indicated that 978 of the 2,350 people had received flu vaccine. Construct a 99 percent confidence interval for the proportion of vaccine-eligible people who had received flu vaccine. Use your confidence interval to comment on the belief that 45 percent of the vaccine-eligible people had received flu vaccine. Suppose a similar survey will be given to vaccine-eligible people in Canada by Canadian health officials. A 99 percent confidence interval for the proportion of people who will have received flu vaccine is to be constructed. What is the smallest sample size that can be used to guarantee that the margin of error will be less than or equal to 0.02
Answer:
Answer:
Part A: 99% CI is given by : (0.38998, 0.44236)
Part B:
The given proportion 45 % or 0.45 is not included in the 99% confidence interval which is 0.39- 0.44 . So it is not consistent with the statement that 45 % got vaccinated.
Part C:
There should be at least 4148 vaccine eligible people in Canada to guarantee that the margin of error will be less than 0.02
Step-by-step explanation:
Part A:
The test statistic p^ ±z sqrt (p`q`/n) will be used because
It is a random sample and both np^≥10 also nq^≥10 so the large sample interval procedure is used.
Here
p= proportion of vaccine- eligible people who received flu vaccine
Sample size= n= 2350
Sample success= p^=978/2350= 0.4161
Sample failure= q^= 1-p`= 1- 0.4161= 0.5838
For 99% CI the z- value is 2.576
Using the test static
p^ ±z sqrt (p^q^/n)
0.4161± 2.576 sqrt( 0.4161*0.5838/2350)
0.4161± 2.576 * 0.010167
0.4161± 0.02619
(0.38998, 0.44236)
Part B:
The given proportion 45 % or 0.45 is not included in the 99% confidence interval which is 0.39- 0.44 . So it is not consistent with the statement that 45 % got vaccinated.
Part C:
z* sqrt ( p^q^/n) ≤ 0.02
sqrt ( p^q^/n) ≤ 0.02/z
Taking square of both sides
( p^q^/n) ≤ [0.02/z]²
Reciprocating both sides
n/p^q^ ≥[ z/ 0.02]²
n≥[ z/ 0.02]²p^q^
n≥ z²p^q^/[ 0.02]²
Putting the values
n ≥(2.576)² (0.5)(0.5)/ 0.2²
n≥ [2.576 /2 (0.02) ]²
n≥4,147.36
There should be at least 4148 vaccine eligible people in Canada to guarantee that the margin of error will be less than 0.02
Simplify: |5.74 + 2.89| – |16.20 + 41.32|
Answer:
-48.89
Step-by-step explanation:
|5.74 + 2.89| – |16.20 + 41.32
|8.63| – |57.52|
= - 48.89
Simplify 15c−8d0
15
c
−
8
d
0
. Write your answer using only positive exponents.
Answer:
The expression is simplified to:
15/(c^8)
Step-by-step explanation:
I have attached an image to make the question clearer.
15c^(-8)d^(0).
Using the zero exponent property (a^0 = 1),
d^0 = 1. Therefore we have:
15c^(-8)(1) = 15c^(-8).
Using the negative exponent rule [a^(-r) = 1/(a^r)],
c^(-8) = 1/(c^8). Therefore we have:
15 x 1/(c^8) = 15/(c^8).
Therefore, The expression is simplified to: 15/(c^8).
Solve each problem.
1) Which option shows the numbers ordered
smallest to largest?
A. 3.37, 3.34, 3, 3.4
B. 4.3, 4.28, 4.13, 4
C. 8.2, 8, 8.3, 8.21
D.9, 9.03, 9.08, 9.4
Answer:
D
Step-by-step explanation:
Consider the sample space given below.
A die is a cube with six sides on which each side contains one to six dots. Suppose a blue die and a gray die are rolled together, and the numbers of dots that occur face up on each are recorded. The possible outcomes of the sample space S are listed as follows, where in each case the die on the left is blue and the one on the right is gray.
S= {11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66}
Write the following event as a set.
The event that the numbers showing face up are the same.
E = ....................?
Compute the probability of E.
Answer:
1 / 6
Step-by-step explanation:
Probability is a measure of the likelihood of an event to occur. The probability for an event to occur is between 0 and 1.
The Probability of an event occurring is the ratio of the number of event in the sample space to the total number of possible outcomes.
The number of possible outcomes [n(S)] from rolling a blue die and a gray die is 36.
n(S) = 36
Let E be an event that the numbers showing face up are the same.
E = {11, 22, 33, 44, 55, 66}, n(E) = 6
The probability of E = P(E) = number event / number of possible outcomes =
P(E) = n(E) / n(S) = 6 / 36 = 1 / 6
PLEASEE HELPP IM DESPERATE I’LL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST CORRECTLY
The function below has at least one rational zero. Use this fact to find ALL zeros of the function.
g(x)=5x^3+x^2-20^x-4
If there is more than one zero, separate them with commas. Write exact values, not decimal approximations.
Answer:
x = 2, -2, -1/5
Step-by-step explanation:
g(x)= 5x^3+x^2-20x-4
g(x)= x^2(5x+1)-4(5x+1)
g(x)=(x^2-4)(5x+1)
g(x)=(x-2)(x+2)(5x+1)
x-2=0
x= 2
x+2=0
x= -2
5x+1=0
x= -1/5
Sara had $108 to spend on 8 books. After buying them she had $12 left. Let b represent the cost of each book. Which equation represents this situation?
Answer:
12
Step-by-step explanation:
you take 108-12=96
then you take 96/8=12
WILL MARK BRAINLIEST PLS HELP MEE
Answer:
17.93
Step-by-step explanation:
y= 2.11x+5.27
x= the # of years
y=total
2000---->2006, six years have past
y=2.11(6)+5.27
y=17.93
How do you figure out the square root of a number?
Answer:
Step-by-step explanation:
You have to find 1 number that equals the number you are given when you multiply it by itself.
for example a times a = b
Square root of 144?
12x12=144
We can calculate the square root of a number as follows -
A = √x
What is Square root?In mathematics, a square root of a number x is a number y such that
y² = x.
Given is number and it is asked to find its square root.
Assume the number whose square root is to be found be [x]. Then, we can calculate the square root as -
A = √x
For example -
x = 9
A = √9
A = √(3 x 3)
A = √(3)²
A = 3
Therefore, we can calculate the square root of a number as follows -
A = √x
To solve more questions on square root, visit the link below-
https://brainly.com/question/13305065
#SPJ2
two walls are 10 ft long and the other 2 walls are 7 ft long what’s the total square foot of the room
Answer:
70
Step-by-step explanation:
10 * 7 = 70 square ft
Select all the correct locations on the map.
Identify the three trade routes used during the Hellenistic era.
SCYTHIA
EUROPE
SINAE
AFRICA
ARABIA
INDIA
—
PLS HELP IM BEGGING 39 POINT
Answer:
The Correct answers are, the top two (a and d), and the very bottom one (c).
Step-by-step explanation:
I got the answers right in my test!
Have a great day!!
if you help i will say thank you
Answer:
C
Step-by-step explanation:
(5,-4)
Answer:
C
Step-by-step explanation:
(5,-4) by using elimination method
Harper is making pudding cups for a big celebration. She made 5 pounds of pudding, but she needed to separate the pudding into individual 4 ounce cups. How many total individual pudding cups did Harper make?
Answer:
20 individual cups
Step-by-step explanation:
5 pounds is equivalent to (5 lb)(16 oz/lb) = 80 oz.
Dividing 80 oz by 4 oz, we get 20. Harper made 20 individual cups.
plzzz help I picked A already and it was wrong
Answer:
probably C I'm terrible at math but that look about right
PLZ HELP MY TEACHER IS GIVING ME SO MUCH WORK
If you walking on the sidewalk and your pencil falls how many toddlers did you eat last night with Tom Holland???
Angle C has a measure of π/6 radians. A circle with a radius length of 10 inches is centered at Angle C's vertex. What is the length of the subtended arc along this circle?
 inches
Answer:
Step-by-step explanation:
arc length = rθ = 10·π/6 = 5π/3 ≅ 5.2 inches
The sum of the squares of two numbers is 26. The difference of the two
numbers is 4. Find the two numbers.
Answer:
i dont know the answer but good luck
Step-by-step explanation:
help help help help help help
Answer:
1.parenthesis, exponents, multiplication, division, addition, subtraction (pemdas is the Oder of operations)
2. please enjoy my dish and seafood
3.14
4. 4
5. 5
6. 7
7.25
How would I prove KM = HM?
Given that GJ is the perp bisector of HK
Answer: See step by step
Step-by-step explanation:
Since GJ is the perpendicular bisector of HK it bisects HK and make J the midpoint of HK. Since J is the midpoint we can construct a congruence statement of KJ≅JH. Then we know in the diagram Angle MJK= 90°, becuase it form a ⊥ line so it is 90° that also means MHJ forms a 90 ° angles becuase they also form a ⊥ line. So that means KJM≅HJM because of transitive property(a=b, b=c, then a=c). Both triangles also include side MJ, so using the reflexitive property( a=a),They are congruent. Since we proved they have a two congruent sides, with a included angle in between them we can use the SAS theorem (Side-Angle-Side) to prove they are congruent. So ΔKMJ≅ΔHMJ Then KM=HM by CPCTC.
Principal: $2600
Rate: 3%
Time: 3 years
What is the interest made?
Answer:
$234
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
I = 2600 × 0.03 × 3 = 234
I = $ 234.00
The simple interest accumulated
on a principal of $ 2,600.00
at a rate of 3% per year
for 3 years is $ 234.00.
Answer:
$234
Step-by-step explanation:
What’s the units?? Plz need help
Answer: 4 units
Step-by-step explanation:
workout the highest common factor of 63 and 105
Answer: Detailed Answer:
The Greatest Common Factor (GCF) for 63 and 105, notation CGF(63,105), is 21. Explanation: The factors of 63are 1,3,7,9,21,63; The factors of 105are 1,3,5,7,15,21,35,105.
Step-by-step explanation:
Hope it helps!!!!!what is the quotient of 8/9
and 2/3
Answer:
ractions division calculator is an online basic math function tool to find what's the equivalent fraction for dividing 8/9 by 2/3. 8/9 ÷ 2/3 = 24/18 as simplified as 4/3 in fraction form. 8/9 ÷ 2/3 = 1.3333 in decimal form.
Step-by-step explanation:
Which are equations? Check all that apply.
Answer:
numbers 1,4,6,7 are all equations
Step-by-step explanation:
just look for the equal sign if there's no equal sign then its an expression not an equation
Answer:
All of the equations are the ones with the equal signs (=)
I hope this helps!
An art class costs $45 for materials and then
$10 per class. Write an equation to represent
the total spent for any given number of art
classes. Identify your variables.
3/5 + 1/5 pls help meee
Answer:
[tex]\frac{3}{5} +\frac{1}{5} =\frac{4}{5}[/tex]
Step-by-step explanation:
The denominator doesn't really matter here. You just have to add the numerators and then put the denominator back on again. The numerators are 3 and 1 and if you add 3 and 1 you will get 4. Now you have to put the denominator back on to the bottom of the numerator. So, if you but 5 on the bottom of 4 it will be [tex]\frac{4}{5}[/tex].
Triangle JKL is similar to triangle MNO. Find the measure of side OM. Figures are not drawn to scale.
Answer:
16.8
Step-by-step explanation:
Because 2 to 8.4 is a scale factor of 1:4.2, you must solve 4*4.2. 4*4.2=16.8, so side OM is 16.8.
Answer:
16.8 is the measurement of OM
Step-by-step explanation:
In the JKL triangle the line LK is measured by 2 while the LJ is 4 the measurement is doubled and it is stated that JKL and MNO have the same measurement therefore the pattern can be seen in the traingle JKL.
You deposit $2200 in a bank account. Find the balance after 4 years if the account pays 2% annual interest compounded daily
Answer:
$8800 might be wrong on that not sure
During a dry season it did not rain for
128 days. How many weeks and days is this?
11