Answer:
h=-11.4
Step-by-step explanation:
because, 5.7+-5.7=-11.4
10) A drug causes side effects for 18% of patients. If the drug is given to 230 patients, find the probability that the number ofpatients who experience side effects isa)exactly 35b) less than 30c) between 37 and 45 inclusived)more than 5011) Let the random variable X represent the number of patients who experience side effects in problem #10.a)Compute the mean, variance, and standard deviation of X.b) Interpret the mean.C)Would it be unusual if 32 patients experienced side effects? (explain why or why not)
a)
The drug causes side effects for 18% of patients, that is, every patient who was exposed to the drug has p = 18% chance of have side effects.
If X represent the number of patients who experience side effects betwen n = 230 observed, and considering a binomial distribution, we have:
\(\begin{gathered} Mean(X)=n\cdot p \\ Mean(X)=230\cdot0.18 \\ Mean(X)=41.4 \end{gathered}\)Since or data set only deals with whole numbers, we can approximate the mean to 41
The variance is given by:
\(\begin{gathered} Var(X)=n\cdot p\cdot(1-p) \\ Var(X)=230\cdot0.18\cdot(1-0.18) \\ Var(X)=33.9\approx40 \end{gathered}\)Then, the standard deviation of X is:
\(\begin{gathered} \sigma=\sqrt{Var(X)} \\ \sigma=\sqrt{50} \\ \sigma\approx6 \end{gathered}\)b)
The mean is the expected value of a variable. That is, most probable value to be identified,
c)
Since the 95% tolerance range is between 29 and 53, is would be usual if 32 patients experience side effects
Simplify
\( \frac{ {x}^{2} - 9 }{ {x}^{2} - 3x} \)
CORRCET ANSWER+EXPLANATION SHALL BE MARKED BRAINLIEST+RECEIVE 34 POINTS
Thanks xx
A bag contains 20 coloured marbles. Copy and
complete the table below to show the probability of
picking each colour at random and the number of
each colour marble in the bag. What is the
probability, as a percentage (%), of picking a purple
marble at random? How many purple marbles are in
the bag?
Colour
Yellow
Blue
Green
Purple
Probability
10%
15%
Number of marbles
6
does anyone here know how to write negative 1 on there
Answer:
you fo to the fourth box on there and put - then go to the box after that and put 1
Step-by-step explanation:
sorry if im wrong
Help pleaseeeee Its very diffucult
Answer:
The result is a right cone
Step-by-step explanation:
Question 6 (1 point)
How many solutions does the following equation have?
3x -7 = 3(x-3) +2
оа
Zero
Infinite
Ob
ос
One
Answer:
Zero
Step-by-step explanation:
3x - 7 = 3x - 9 + 2
3x - 7 = 3x - 7
Add 7 on both sides
3x = 3x
Subtract 3x you get 0.
Hope this helps.
A school math team consists of 3 juniors and 5 seniors. How man different groups can be formed that consist of one junior and 2 seniors
Please answer these questions I will mark brainliest
Gerri says that if a number is a multiple of 9 it is also a multiple of 3.Do you agree? Explain.
Please Help!!
It's urgent :)
Answer:
hope this helps
Step-by-step explanation:
For a.) I would do the simplist example possible and make all 3 angles equal. So you would divide 180° degrees by 3. This gives you 60° for each angle. That is still acute.
b.) complementary angles mean they add up to 90°
If one has to be greater than 45° you can so 68° and 22°.
c.) 100 - 10,10; 20,5; 50,2; 4,25
You can choose any pair for the length and width of the ones I put above. :)
d.) angle ABC can equal 32° and angle CBD can be 10°
Step-by-step explanation:
a, 90*, 90*, 90*
b, 135,135
c, 60,40
d, 152,166
Complete the table to show the interest earned for different savings principals, interest rates, and time periods
The interest earned increases with higher principal amounts, higher interest rates, and longer time periods.
Principal (P) | Interest Rate (r) | Time Period (t) | Interest Earned (I)
$1,000 | 2% | 1 year | $20
$5,000 | 4% | 2 years | $400
$10,000 | 3.5% | 3 years | $1,050
$2,500 | 1.5% | 6 months | $18.75
$7,000 | 2.25% | 1.5 years | $236.25
To calculate the interest earned (I), we can use the simple interest formula: I = P * r * t.
For the first row, with a principal of $1,000, an interest rate of 2%, and a time period of 1 year, the interest earned is calculated as follows: I = $1,000 * 0.02 * 1 = $20.
For the second row, with a principal of $5,000, an interest rate of 4%, and a time period of 2 years, the interest earned is calculated as follows: I = $5,000 * 0.04 * 2 = $400.
For the third row, with a principal of $10,000, an interest rate of 3.5%, and a time period of 3 years, the interest earned is calculated as follows: I = $10,000 * 0.035 * 3 = $1,050.
For the fourth row, with a principal of $2,500, an interest rate of 1.5%, and a time period of 6 months (0.5 years), the interest earned is calculated as follows: I = $2,500 * 0.015 * 0.5 = $18.75.
For the fifth row, with a principal of $7,000, an interest rate of 2.25%, and a time period of 1.5 years, the interest earned is calculated as follows: I = $7,000 * 0.0225 * 1.5 = $236.25.
These calculations show the interest earned for different savings principals, interest rates, and time periods.
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2+2 but make it longer and overdo it(have fun with it)
Help me please thank u for helping me
Answer:
d
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
x=1/4
Suppose that three customers are selected randomly, without replacement, for a survey. what is the probability that at least two selected customers use express shipping?
Answer:
3 upon 2. that's the answer ..
A washer and a dryer cost $782 combined. The washer costs $68 less than the dryer. What is the cost of the dryer
Let's call the cost of the dryer "x".
We know from the problem that the washer costs $68 less than the dryer, so the cost of the washer would be "x - 68".
The problem also tells us that the combined cost of the washer and dryer is $782. So we can set up an equation:
x + (x - 68) = 782
Simplifying this equation, we get:
2x - 68 = 782
Adding 68 to both sides, we get:
2x = 850
Dividing both sides by 2, we get:
x = 425
So the dryer costs $425.
If someone used 100 beads to make a necklace. What decimal number would 3 beads represent
Answer:0.03
Step-by-step explanation:
Answer:
0.03
Step-by-step explanation:
1 necklace uses 100 beads.
3 beads are 3/100 of the necklace = 0.03
lise z scorkt is cotapre the gron yidut Hus was Hase 6et entes? Sence the z score for the tallest man is z= and the z score for the shortest man is z= the man had the height that was more extreme. (Round to two decimal places.)
The tallest man had a height that was more extreme. Rounding to two decimal places, we get that the tallest man's height was 79.20 inches.
Z-scores, also known as standard scores, are a statistical measure that quantifies how many standard deviations an individual data point is away from the mean of a distribution. The given statement compares the heights of two people who have different heights in terms of their z-scores.
It is given that the z-score for the tallest man is z=2.40 and that for the shortest man is z=-1.30.
We can conclude which of the two men had a more extreme height by calculating their actual heights using the z-score formula and comparing them. The formula for calculating z-score is given by:
z = (x - μ) / σ
Where z is the z-score,
x is the actual observation and
μ is the population mean
σ is the population standard deviation
We know that the z-score for the tallest man is 2.40.
Let the height of the tallest man be x₁.
Also, we are given that the mean height of the people in the group is 72 inches with a standard deviation of 3 inches.
z = (x - μ) / σ
2.40 = (x₁ - 72) / 3
Solving for x₁ , we get:
x₁ = (2.40 x 3) + 72 = 79.20 inches
Similarly, we know that the z-score for the shortest man is -1.30.
Let the height of the shortest man be x₂.
z = (x - μ) / σ
1.30 = (x₂ - 72) / 3
Solving for x₂, we get:
x₂ = (-1.30 x 3) + 72 = 67.10 inches
Therefore, the tallest man is 79.20 inches tall and the shortest man is 67.10 inches tall.
We can now compare which of the two men had a more extreme height.
The man with the height that is more different from the mean is the one who is more extreme.
We can see that the tallest man's height is further from the mean than the shortest man's height.
Hence, the tallest man had a height that was more extreme.
Rounding to two decimal places, we get that the tallest man's height was 79.20 inches.
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Samuel orders four DVDs from an online music store. Each DVD costs $9.97. He has a 25% discount code, and sales tax is 7.75%. Round sales tax amounts to the nearest cent. What is the total cost of his order?
The total cost of his order of DVDs will be $32.23.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Samuel orders four DVDs from an internet-based music store. Every DVD costs $9.97. He has a 25% markdown code, and the deal charge is 7.75%.
The cost of DVDs after discount will be given as,
⇒ 4 x $9.97 x (1 - 0.25)
⇒ $29.91
The cost of DVDs after tax will be given as,
⇒ $29.91 x (1 + 0.0775)
⇒ $32.23
The total cost of his order of DVDs will be $32.23.
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Chase recently opened a new bank account and after 8 months he has $890 in the bank. Based on the information, how much money is chase putting in the bank each month? What is the average rate of change?
Answer:
E
Step-by-step explanation:
The equation of a circuits in the form: (in the picture)
If the circle is centered in Quadrant I, what must be true of h and k?
(Answer choices in the picture as well)
Answer: h>0 and k>0
Step-by-step explanation:
If the circle is centered in Quadrant I, then both the x and y coordinates of the center are positive.
This means that h>0 and k>0.
solve sinx = 2x-3 using false position method
The root of the equation sinx = 2x-3 is 0.8401 (approx).
Given equation is sinx = 2x-3
We need to solve this equation using false position method.
False position method is also known as the regula falsi method.
It is an iterative method used to solve nonlinear equations.
The method is based on the intermediate value theorem.
False position method is a modified version of the bisection method.
The following steps are followed to solve the given equation using the false position method:
1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.
Here, f(x) = sinx - 2x + 3.
2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))
3. Evaluate the function at point c and find the sign of f(c).
4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.
5. Repeat the steps 2 to 4 until we obtain the required accuracy.
Let's solve the given equation using the false position method.
We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.
So, the root lies between 0 and 1.
The calculation is shown in the attached image below.
Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).
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an inequity that can be written in the form ax by < c (where a and b are not both zero) is called a ____?____ inequality in two variables.
An inequality that can be written in the form ax + by < c (where a and b are not both zero) is called a linear inequality in two variables.
An inequality that represents a line in a two-dimensional coordinate system is referred to as a linear inequality. The set of points that satisfies the inequality is a half-plane bounded by a line that may be dashed or solid.
In contrast to a linear equation, which represents a line, a linear inequality represents a half-plane. The points on one side of the line, rather than the points on the line, are solutions to the inequality.
The method of shading is used to graph a linear inequality in two variables. First, graph the boundary line, which is usually represented by a solid or dashed line, and then select a test point on one side of the line. Shaded regions of the half-plane containing the test point satisfy the inequality.
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The population of your town is about 30,000. This is about 1/10 the population of your friend’s town about what is the population of your friend’s town?
The population of your friend's town is 300,000 if the population of your town is about 30,000.
To solve this problem, we can use the fact that if one quantity is a fraction of another quantity, we can multiply or divide the given quantity by that fraction to find the other quantity. In this case, we know that the population of your town is 1/10th of your friend's town's population, so we can multiply your town's population by 10 to get your friend's town's population.
If the population of your town is about 30,000, and it's about 1/10 the population of your friend's town, we can calculate your friend's town's population by multiplying your town's population by 10.
So, the population of your friend's town is
30,000 x 10 = 300,000
Therefore, your friend's town has a population of about 300,000.
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The booster club needs to raise at least $7,000 for new football uniforms. So far, they have raised $1,210. Enter an inequality to find the average amounts each of the 96 members can raise to meet the club's objective.
Each of the 96 members needs to raise at least $60.31 on average to meet the club's objective of raising at least $7,000.
What is the average amount that each of the 96 members?Let x be the average amount that each of the 96 members can raise to meet the club's objective. Then the total amount raised by the 96 members is 96x.
To meet the objective of raising at least $7,000, we can write the following inequality:
96x + 1210 >= 7000
Simplifying this inequality, we get:
96x >= 5790
Dividing both sides by 96, we get:
x >= 60.31
Therefore, each of the 96 members needs to raise at least $60.31 on average to meet the club's objective of raising at least $7,000.
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can y’all help me answer question 4 pleas e
Answer:
b = a + 13
Step-by-step explanation:
bc 1 + 13 = 14
Hope this helps !
y=2x^2-5x+3, what is the value of its y-intercept?
Answer:
y- intercept = 3
Step-by-step explanation:
To find the y- intercept, let x = 0 and evaluate for y
y = 2(0)² - 5(0) + 3 = 0 - 0 + 3 = 3
A cellular company offers a price of $19.95 for 200 minutes. Find the unit rate in cost per minute.
Answer:
≈ $0.10 /min
Step-by-step explanation:
Find the value of x.
x = [?]
Calculate the size of the largest angle in the triangle. Give your answer to an appropriate degree of accuracy.
Answer:
110.9° = 111°
Step-by-step explanation:
Given ∆ABC, where
length of side AB = 15 cm,
length of side AC = 7 cm
length of side BC = 11 cm
Required:
Size of largest angle in ∆ABC
SOLUTION:
The size of the largest angle in the triangle is the angle that has the largest side length opposite it.
Therefore, the largest angle in ∆ABC = <C, which has a side length of 15 cm opposite it.
=>Find the angle of C using the Law of Cosine
Cos C = (a² + b² - c²)/2ab
Cos C = (11² + 7² - 15²)/2*11*7
Cos C = (121 + 49 - 225)/154
Cos C = -55/154
Cos C = -0.3571
C = Cos-¹(-0.3571)
C = 110.9° ≈ 111°
what is the y-intercept of the equation 6x-3y=36
Answer:
(0, -12)
Step-by-step explanation:
Using the slope-intercept form, the y-intercept is 12.