Answer:
3b/2 + 3
Step-by-step explanation:
The formula to calculate perimeter of rectangle is 2l + 2w
The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2
Using the formula to calculate perimeter you can substitute and calculate
p= 2l + 2w
p= 2(b/4 + 1/2) + 2(b/2 + 1)
p= 2b/4 +2/2 + 2b/2 +2
p= 1/2b + 1 + b + 2
p= 3/2b + 3
Simplified it's 3b/2 +3
examples of hypothesis testing and confidence intervals in health care
Hypothesis testing and confidence intervals are commonly used in health care research to make statistical inferences and draw conclusions about population parameters.
Hypothesis testing allows researchers to test specific claims or hypotheses, while confidence intervals provide a range of plausible values for a population parameter.
In health care, hypothesis testing can be used to investigate various research questions.
For example, a researcher may hypothesize that a new treatment is more effective than an existing treatment for a certain medical condition. By conducting a hypothesis test, the researcher can analyze data from a sample of patients and determine if there is sufficient evidence to support the hypothesis.
Confidence intervals, on the other hand, provide an estimate of the range within which a population parameter is likely to fall. In health care, confidence intervals are often used to estimate the true prevalence of a disease or the effectiveness of an intervention.
For instance, researchers may estimate the confidence interval for the proportion of individuals with a certain disease in a population based on a sample of patients. This interval provides a measure of uncertainty and helps researchers understand the precision of their estimates.
Both hypothesis testing and confidence intervals are valuable statistical tools in health care research, allowing researchers to make evidence-based decisions, draw meaningful conclusions, and contribute to advancements in medical knowledge and practice.
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Problem: Jessica ordered a pizza. One-half of the pizza had pepperoni only, one-sixth of the pizza had mushrooms, and the rest of the pizza was cheese only. What fraction of the pizza was cheese only?
Answer:
1/3 of the pizza
Step-by-step explanation:
Number of pizza ordered = 1
pepperoni only part = One-half of the pizza = 1/2 of the pizza
Mushrooms part = one-sixth of the pizza = 1/6 of the pizza
Cheese only part = x
Total pizza = pepperoni only part + Mushrooms part + Cheese only part
1 = 1/2 + 1/6 + x
1 = (3+1) /6 + x
1 = 4/6 + x
1 - 4/6 = x
x = 1 - 2/3
= (3-2) / 3
x = 1/3 of the pizza
Cheese only part = x = 1/3 of the pizza
Write 9y−211 as a sum or difference.
Answer:Difference
Step-by-step explanation:
Question 18 of 25
If f) =3*+ 10 and glx) = 2x- 4, find (f+ 9)().
OA. (f+ )() = 5x +6
OB. (f+ g)() = 3*+ 2x+ 6
OC. (f+ 9)() = 3r- 2x+ 14
O D. (f+ 9)() =-3*- 2x-14
SUBN
Answer:
C. (f+ 9)() = 3r- 2x+ 14
Step-by-step explanation:
Use the slope-intercept form to graph the equation y= 6/5x+4
Answer:
point 1- ( 1.2 , 4 )
point 2- (2.4 , 8)
Step-by-step explanation:
using y=6/5x + 4
you would multiply 6/5 times your x value ,in this case you would multiply by 1 then 2 and so on ( same with your y)
-
hopefully you get this right
Approximately 33 comma 200 citizens of a country died in automobile accidents in 2015. Express this toll in deaths per day
The toll of death per day in 2015 is 91.
We are given the approximate number of people who died in year 2015, which is 33,200. Now, as per the known fact, the year 2015 has 365 days. So, we can easily calculate the toll in deaths per day by performing division.
Number of deaths in 365 days = 33,200
Number of deaths each day = 33,200 ÷ 365
Performing division to find the number of deaths per day
Number of deaths each day = 90.96
Rounding off the digits to find number of deaths each day
Number of deaths each day = 91
Hence, this toll in deaths per day is 91.
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Which parabola will have one real solution with the line y = x – 5? y = x2 x – 4 y = x2 2x – 1 y = x2 6x 9 y = x2 7x 4
System of equations y = x² + 7x + 4 has one real root with the line y = x -5.
What is the discriminant in the quadratic equation?A quadratic equation is the polynomial equation of two degrees in one variable. The general form of a quadratic equation is ax² + bx + c = 0.
The quadratic equation formula for the solution of roots.
\(\rm (\alpha ,\beta ) = [ -b\)±\(\rm \sqrt{b^{2} - 4ac} /2ac\)]
The discriminant is the \(\rm \sqrt{b^{2} - 4ac}\) part of the quadratic equation
If D is greater than zero then the roots are real and distinct.
If D is equal to zero then the roots are real and equal.
If D is less than zero then the roots are imaginary and unequal.
y = x² + 7x + 4
From First option, System of equations
y = x² + x – 4
y = x – 5
So, x - 5 = x² + x – 4
x² + x – 4 - x + 5 = 0
x² + 1 = 0
discriminant = b²- 4×a×c
= 0²- 4×1×1
-4 < 0, therefore the equation has no real roots.
From Second option, System of equations
y = x² + 2x – 1
y = x – 5
So, x - 5 = x² + 2x – 1
x² + 2x - 1 - x + 5 = 0
x² + x + 4 = 0
discriminant = b²- 4×a×c
= 1²-4×1×4
-15 < 0 therefore, the equation has no real roots.
From Third option, System of equations
y = x² + 6x + 9
y = x – 5
So, x - 5 = x² + 6x + 9
x² + 6x + 9 - x + 5 = 0
x² + 5x + 4 = 0
discriminant = b²- 4×a×c
= 5²-4×1×4
9 > 0 therefore, the equation has two different real roots.
From Fourth option, System of equations
y = x² + 7x + 4
y = x – 5
So. x - 5 = x² + 7x + 4
x² + 7x + 4 - x + 5 = 0
x² + 6x + 9 = 0
discriminant = b²- 4×a×c
= 6²-4×1×9 = 0
0 therefore, the equation has one real root.
Since, System of equations y = x² + 7x + 4 has one real root with the line y = x -5.
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Answer:
D on edge
Step-by-step explanation:
Two line are perpendicular. The slope of one line is -5/7. What is the slope of the other line? Justify your answer
Answer:
The slope of the other line is 7/5 and it is perpendicular with a line of slope -5/7.
Step-by-step explanation:
Answer:
7/5
Step-by-step explanation:
Perpendicular lines multiply to -1. Let m be the slope of the line perpendicular to the line with the slope of -5/7
-5/7 * m = -1
Multiply each side by -7/5 to get m alone
-7/5 * -5/7 *m = -1 * -7/5
m = 7/5
The slope of the line that is perpendicular to -5/7 is 7/5
Find the equation of the line passing through the points (7, 20) and (-2, 11).
Answer:
y = x + 13
Step-by-step explanation:
1. Use the coordinates to find the slope. (y2-y1)÷(x2-x1) = slope. Substitute values. (11-20)÷(-2-7)= (-9)÷(-9)=1
y=1x+b
2. Substitute coordinates to find b (y-intercept). Let's use (7,20). 20=7+b. b=13
3. Put it all together.
y=x+13
5m - 17 - 5 + 2m
Please help.
Answer:
\(5m - 17 - 5 + 2m \\ 5m + 2m - 17 - 5 \\ = 7m - 12\)
PLEASE MARK ME BRAINLIESTAnswer:
\(7m-22\)
Step-by-step explanation:
5m+2m=7m and -17-5=-22.
find the interest earned on a savings account by depositing $9800 for 15 months at 5% simple interest
Answer:
To find the interest earned on a savings account by depositing $9800 for 15 months at 5% simple interest, we can use the formula:
Interest = (Principal x Rate x Time) / 100
Where:
Principal = $9800
Rate = 5%
Time = 15 months
First, we need to convert the time from months to years by dividing 15 by 12:
Time = 15/12 = 1.25 years
Now, we can substitute the values into the formula:
Interest = (9800 x 5 x 1.25) / 100
Interest = $612.50
Therefore, the interest earned on the savings account is $612.50.
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Use what you know about triangles and angle relationships to determine the value of x and y in this isosceles triangle.
(Note: use whole numbers only, do not type the degree
symbol or the word)
Answer:
x = 13
y = 7
Step-by-step explanation:
✔️Recall that sum of the interior angles of a ∆ = 180°
Therefore:
(3x - 3) + (4x + 20) + (7x - 19) = 180° (sum of ∆)
Solve for x
3x - 3 + 4x + 20 + 7x - 19 = 180
14x - 2 = 180
Add 2 to both sides
14x = 182
Divide both sides by 14
✅x = 13
✔️Recall also that an isosceles has two equal sides, therefore:
8y - 7 = 5x - 16
Plug in the value of x
8y - 7 = 5(13) - 16
8y - 7 = 65 - 16
8y - 7 = 49
Add 7 to both sides
8y = 56
Divide both sides by 8
✍️y = 7
The linear regression equation for a data set is y = 3.2x - 1.2. The actual value at = 4 is 14. What is the residual value
at x = 4?
2.4
B 8.0
11.6
D 12.8
Answer: 11.6
Step-by-step explanation: plug in x for 4. 3.2(4)-1.2 = 11.6
When you got your car fixed, the cost for parts was $75. The cost for labor was $45 per hour. If the total cost was $255 . Find the number of hours
Answer:
3.3
Step-by-step explanation:
Hour : H
subtract the 75 from both sidesso the variable would be on one side and the knowns would be on the other side
45H + 75 = 225
-75 -75
Divide by 45 from both sides
45H = 150
÷45 ÷45
3.33
Please help me with this math problem!! Will give brainliest!! :D
The probability of winning a prize worth more than the price of playing the game is 38%.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of samples
Given that the percentage of the winning price is:-
Toy = 25%
Soda = 25%
Candy = 37%
Mega win = 13%
The probability of winning a prize worth more than the price of playing the game is calculated as:-
P = ( 25 + 13 ) x 100 / 100
P = 0.38 x 100
P = 38%
Therefore, the probability will be 38%.
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9) Find the value of two numbers if their sum is 17 and their difference is 1.
Answer: 9 and 8?
Step-by-step explanation:
The domain and range of a relation are illustrated to the right.
a) Construct a set of ordered pairs that represent the relation.
b) Determine whether the relation is a function. Explain your answer.
what does e mean in math
In mathematics, the letter e is often used to represent the base of the natural logarithm, or Euler's number.
This number is an irrational number and its value is approximately 2.718281828459045. It is used in many mathematical formulas and equations, most notably in exponential growth and decay equations.In mathematics, the letter e is often used to represent the base of the natural logarithm, or Euler's number. For example, an exponential growth equation can be expressed as y=ae^(bt), where y is the dependent variable, a is the initial value, b is the growth rate, and t is the time. The calculation for this equation is y = ae^(bt), where a is the initial value, b is the growth rate, and t is the time. For example, if the initial value is 5, the growth rate is 2, and the time is 3, then the calculation would be y = 5e^(2*3) = 5e^6 = 403.429. This equation can be used to calculate the amount of growth or decay over time.
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Solve for x
X over 4 minus negative nine equals ten point one
X/4 - -9 = 10.1
Answer:
x=4.4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
14x+9=10.1
Step 2: Subtract 9 from both sides.
14x+9−9=10.1−9
14x=1.1
Step 3: Multiply both sides by 4.
4*(14x)=(4)*(1.1)
x=4.4
Company X tried selling widgets at various prices to see how much profit they would
make. The following table shows the widget selling price, x, and the total profit
earned at that price, y. Write a quadratic regression equation for this set of data,
rounding all coefficients to the nearest hundredth. Using this equation, find the
profit, to the nearest dollar, for a selling price of 19.5 dollars.
Price (x) Profit (y)
15.75 22602
18.25 29017
23.00 38820
33.00 42470
37.75 35708
A quadratic regression equation for this set of data is y(x) = -69.27x² + 4921.02x - 37722.14.
For a selling price of 19.5 dollars, the profit is 31897.83.
What is a quadratic function?In Mathematics, the standard form of a quadratic function is represented by the following equation;
ax² + bx + c = 0
Next, we would create a system of equation by using the data points provided above;
a(15.75)² + b(15.75) + c = 22602
248.06a + 15.75b + c = 22602 .....equation 1.
a(18.25)² + b(18.25) + c = 29017
333.06a + 18.25b + c = 29017 .....equation 2.
a(23.00)² + b(23.00) + c = 38820
529.00a + 23.00b + c = 38820 .....equation 3.
By solving the system of equations simultaneously, the values of a, b, and c are as follows;
a = -69.27
b = 4921.02
c = -37722.14
Therefore, the required quadratic function in standard form is given by;
ax² + bx + c = 0
y(x) = -69.27x² + 4921.02x - 37722.14
For a selling price of 19.5 dollars, the profit can be calculated as follows:
y(19.5) = -69.27(19.5)² + 4921.02(19.5) - 37722.14
y(19.5) = 31897.83.
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5n – 2n
I need help asap
Find all real numbers x that satisfy the equation (x-4)(x-8) = 12.
Answer:
10,2
Step-by-step explanation:
How many grams are there in 2 ounces?
Answer:
Step-by-step explanation:
1 ounce = 28.3 gm
2 ounce =x
x =2*28.3
x = 56.6 gm
You and your friends went to dinner and you decided to pay for everyone's meal. The total bill came to $65.00. You decided to give the waiter a 20% tip before tax. You also had to pay 6.8% sales tax. How much did you have to pay in all?
Answer:
In total I had to pay $ 82.42.
Step-by-step explanation:
Since I and my friends went to dinner and I decided to pay for everyone's meal, and the total bill came to $ 65.00, and I decided to give the waiter a 20% tip before tax and also had to pay 6.8% sales tax, for To determine how much did I have to pay in all, the following calculation should be performed:
65 + (65 x 0.2) + (65 x 0.068) = X
65 + 13 + 4.42 = X
78 + 4.42 = X
82.42 = X
Therefore, in total I had to pay $ 82.42.
30. Trisha wants to create the perpendicular bisector of a line segments
AB. She places her compass of point A and opens it with the width more
than 1/2 the length of the line segment AB. She makes arcs above and
below the line segment. What could be Trisha's next step to create the
perpendicular bisector of line segment AB?
A
>connect the two arcs using a straightedge
B>connect each arc with point B using a straightedge
C>place the compass on the approximate midpoint and draw intercepting arcs
D>place the compass on point B and complete the same steps that she did for point A
The answer is D:
Place the compass on point B and complete the same steps that she did for point A
The process is that you draw arcs above and below the line from both ends, but it's crucial that the compass' radius is the same from both ends of the line. Then you draw the line that connects the two intersection points to form your perpendicular bisector.
solve for x, I tried but I got a wrong .
Answer:
im pretty sure its 62
Step-by-step explanation:
What is the value of x in the equation 6(x +11)= -300?
Answer:
-61
Step-by-step explanation:
We use the distributive property to distribute 6 to both x and 11. This gives 6x+66=-300. Subtracting both sides by 66 gives 6x=-366. Dividing both sides gives x=-61.
.Lauren has two bags of counters. Bag A has 4 red & 5 blue counters. Bag B has 3 red & 2 blue counters. She takes a counter at random from each bag
Work out the probability Lauren selects one of each colour.
Answer:
1
A bag contains 7 red balls and 3 green balls. Two balls are taken from the bag. Find the probabilities that they are:
(a)
both red
(b)
both green
(c)
one red and one green.
Show me
2
Weather experts estimate the probability of rain any day as
0.6 if it rained the previous day
0.3 if it did not rain the previous day.
Find the probability that a dry day is followed by,
(a)
two more dry days,
(b)
two wet days,
(c)
a wet day and then a dry day.
Show me
Exercises
1
A bag contains 3 red counters and 4 blue counters. Two counters are taken out of the bag. Find the probability that:
(a)
both counters are red,
Check
(b)
both counters are the same colour,
Check
(c)
the counters are different colours.
Check
2
A card is drawn at random from a full pack of playing cards. It is not put back. A second card is then drawn from the same pack.
(a)
Find the probability that:
(i)
both cards are hearts,
Check
(ii)
only one card is a heart,
Check
(iii)
neither card is a heart.
Check
(b)
Find the probability that:
(i)
both cards are sevens,
Check
(ii)
neither card is a seven,
Check
(iii)
at least one seven is obtained.
Check
3
The probability that a football team win their next match is:
⎧
⎨
⎩
0.3 if they won their last match,
0.8 if they lost their last match.
(a)
Find the probability that if a match is lost, the next two will be won.
Check
(b)
Find the probability that if a match is won, the next two will also be won.
Check
4
A pack of 24 cards contains 12 red cars, 8 yellow cards and 4 pink cards. In a game a player has to select two cards, one after the another. Find the probabilities that a player selects,
(a)
2 red cards,
Check
(b)
2 yellow cards,
Check
(c)
2 pink cards,
Check
(d)
2 cards that are the same colour,
Check
(e)
a pink card and a yellow card in any order.
Check
5
Nisha buys a bag of sweets. The bag contains 3 orange, 17 strawberry and 10 cherry flavour sweets. Nisha eats 3 sweets. Find the probability that she has:
(a)
not eaten an orange sweet,
Check
(b)
eaten 3 sweets of the same flavour,
Check
(c)
only eaten strawberry flavour sweets.
Check
6
Two yachts A and B regularly race against each other. In rough weather the probability that A wins is 0.8 and in fine weather 0.4. The probability of fine weather at a race is 0.7.
(a)
What is the probability that A wins a race?
Check
(b)
If there is a best of 3 races competition, what is the probability that A wins the competition?
Round up to 2 decimal places.
Check
7
Brian enjoys swimming. If it is a sunny day the probability that he swims is 0.9. It the day is not sunny, the probability that he swims is 0.65.
The probability that tomorrow will be sunny is 0.8.
Draw a tree diagram to illustrate this information.
Calculate the probability that Brian will not swim tomorrow.
Check
8
Wes gives Bronwen a box of 25 mixed sweets. 12 of the sweets have soft centres, 8 have toffee centres and 5 have hard centres. All of the sweets have identical wrappers. Bronwen chooses 2 sweets at random.
(a)
What is the probability that Bronwen will choose 2 toffee centred sweets?
Check
After they have eaten 3 soft centred sweets and 2 toffee centred sweets, Wes chooses 3 sweets at random from the 20 sweets that are left.
(b)
What is the probability that Wes will choose a soft centred sweet, followed by a toffee centred sweet, followed by a hard centred sweet?
Check
When there are only 10 sweets left, 3 have soft centres, 4 have toffee centres and 3 have hard centres. Bronwen chooses two sweets at random.
(c)
What is the probability that neither of the sweets will have a hard centre?
Check
9
The fast food chain Macduff's is running a competition.
You obtain a card with 12 circles covered up.
You are allowed to scratch off up to three circles.
You win if 2 or more PALM TREES are revealed.
You lose if two or more CRABS are found.
If you win, you scratch off one of the three squares to show your prize.
Step-by-step explanation:
What is the area of figure plz help
the area of the figure is 113
23x+50x-79x=??
have a great day
Answer:
-6x
Step-by-step explanation:
23x+50x-79x
We take out x from the terms and group them up.
We therefore get (23+50-79)x after taking out x, and grouping the coefficients together.
Calculating 23+50-79 gets us -6, which is the coefficient of the final answer.
So the answer would be -6x.
Answer:
Step-by-step explanation:
Here you go mate,
Step 1
23x+50x-79x Equation/Question
Step 2
23x+50x-79x Simplify
23x+50x-79x
Step 3
23x+50x-79x Combine terms
(23x+50x+(-79x))
Step 4
(23x+50x+(-79x)) Solve
answer
-6x
Hope it helps