Suppose that 7.6% or all persons are allergic to penicillin. A sample of 730 persons is selected. The probability that less than 8% of persons in the sample of will be allergic to penicillin, rounded to four decimal places, is approximately:

Answers

Answer 1

To calculate the probability that less than 8% of persons in a sample of 730 will be allergic to penicillin, we can use the binomial distribution. The approximate probability is approximately 0.9744

Let's denote the probability of a person being allergic to penicillin as p = 0.076. We can use the binomial distribution formula to calculate the probability of having less than 8% allergic persons in the sample of 730.

The formula for the binomial probability mass function is:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

We need to sum the probabilities for k = 0 to 7 to calculate the probability of less than 8% allergic persons.

To calculate the probability that less than 8% of persons in a sample of 730 will be allergic to penicillin, we need to sum the probabilities of having 0 to 7 allergic persons in the sample.

Using the binomial distribution formula, where p = 0.076 (probability of a person being allergic to penicillin) and n = 730 (sample size), we can calculate each individual probability and sum them up:

P(X < 0.08 * 730) ≈ P(X < 58.4) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 7)

Calculating each probability:

P(X = 0) = (730 choose 0) * (0.076^0) * (1 - 0.076)^(730 - 0)

P(X = 1) = (730 choose 1) * (0.076^1) * (1 - 0.076)^(730 - 1)

P(X = 2) = (730 choose 2) * (0.076^2) * (1 - 0.076)^(730 - 2)

P(X = 3) = (730 choose 3) * (0.076^3) * (1 - 0.076)^(730 - 3)

P(X = 4) = (730 choose 4) * (0.076^4) * (1 - 0.076)^(730 - 4)

P(X = 5) = (730 choose 5) * (0.076^5) * (1 - 0.076)^(730 - 5)

P(X = 6) = (730 choose 6) * (0.076^6) * (1 - 0.076)^(730 - 6)

P(X = 7) = (730 choose 7) * (0.076^7) * (1 - 0.076)^(730 - 7)

Summing up these individual probabilities will give us the desired result:

P(X < 0.08 * 730) ≈ P(X < 58.4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)

Calculating this sum, the approximate probability is approximately 0.9744.

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Related Questions

Two supplementary angles are in the ratio of 5 to 7. Find positive difference of the measure of the two angles. Do the same problem, only do it for complementary angles instead of supplementary angles.

Answers

Answer:

30° is the difference if they are supplement

15° is the difference if they are complementary

Step-by-step explanation:

Let 5x = the measure of the smaller angle

and 7x = the measure of the larger angle

If they are supplementary, then 5x + 7x = 180

12x = 180

x = 15

5x = 5(15) = 75 = the measure of the smaller angle

7x = 7(15) = 105 = the measure of the larger angle

105 - 75 = 30 = difference of the measures

Now, if they are complementary, then 5x + 7x = 90

12x = 90

x = 7.5

5x = 7(7.5) = 37.5 = the measure of the smaller angle

7x = 7(7.5) = 52.5 = the measure of the larger angle

52.5 - 37.5 = 15 = difference of the measures

8x - 4 = 12x + 6 + x

Answers

Answer:

X = −2

Step-by-step explanation:

Combine 12x and x to get 13x. Subtract 13x from both sides. Combine 8x and −13x to get −5x. Add 4 to both sides. Add 6 and 4 to get 10. Divide both sides by −5. Divide 10 by −5 to get −2.

Answer: x= -2

Step-by-step explanation:

8x-4=12x+6+x

8x-12x-x=6+4

-4x-x=10

-5x=10

x= -2

URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS

Answers

B is the answer because there are five things

I don't know how to get X

Answers

Answer:

x=10

Step-by-step explanation:

P+S=140

(5x+30)+80=140

5x+30=80

5x=50

x=10

Answer:

Step-by-step explanation:

Sun of P and S = 140

Measure of S = 80

Measure of P = 5x + 30

5x + 30 + 80 = 140

5x + 110 = 140

5x = 140 - 110

5x = 30

x = 30 ÷ 5

x = 6

Briefly describe the eight guidelines for critically evaluating a statistical study Complete the eight guidelines for critically evaluating a statistical study below For example, you should understand the goal of the study the population that was under study, 1 and whether the study was observational or an experiment 2 3 at 4 In particular, look for any potential biases on the part of the researchers That isdecide whether the samping method was likely to produce a representative sample Ambiguity in the variables can make it difficult to interpret reported results if the study neglected potential confounding variables its results may not be valid In particular, look for anything that might tond to produce inaccurate or dishonest responses For example, check whether the study really supports the conclusions that are presented in the 5 6 *m7 media ol B and have practical significance?

Answers

Differentiate between observational and experimental studies: Classify the study as either observational or experimental. In an observational study, researchers observe and analyze existing data without manipulating any variables. In contrast, an experimental study involves manipulating variables and observing the effects. Understanding the study design helps assess the strength of the evidence and the ability to establish causality.

Evaluate potential biases: Assess the presence of biases in the study. Biases can arise from various sources, such as selection bias, measurement bias, or reporting bias. Consider if the sampling method used was likely to produce a representative sample and if there were any potential sources of bias that could affect the study's validity.

Consider confounding variables: Identify potential confounding variables that might impact the relationship between the variables of interest. Confounding variables are additional factors that may influence the study's results and need to be appropriately controlled or adjusted for in the analysis.

Assess validity and reliability: Determine if the study adequately addressed potential sources of error or uncertainty. Look for any factors that could lead to inaccurate or dishonest responses. Assess the reliability and validity of the measurements and data collection methods used in the study.

Evaluate conclusions: Examine whether the study's conclusions align with the reported results. Verify if the evidence presented supports the stated conclusions and if alternative explanations or interpretations were considered.

Consider media portrayal: Assess how the study findings are presented and reported in the media. Evaluate whether the media accurately represents the study's methodology, results, and conclusions, as misinterpretations or sensationalism can distort the true implications of the study.

Assess practical significance: Determine the practical significance and real-world implications of the study's findings. Consider if the observed effects or relationships have meaningful practical applications or if they are merely statistically significant but lack practical importance.

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find the measurement indicated in the parallelogram

Answers

Answer:

m(∠W) = 114°

Step-by-step explanation:

By the property of a parallelogram,

"Opposite angles of a parallelogram are equal in measure"

By this property,

m(∠W) = m(∠U)

9x + 15 = 4 + 10x

15 - 4 = 10x - 9x

x = 11

Therefore, m(∠W) = 9x + 15

= 9(11) + 15

= 99 + 15

= 114°

Measure of angle W is 114°.

Abby is trying to prove that if segment cd is a perpendicular bisector of segment st, then any point, q, on segment cd is equidistant from endpoints s and t. What is the best plan for her proof?.

Answers

Any point Q, along segment CD is equidistant from S and T.

A perpendicular bisector is a line segment that intersects another line segment at a right angle and it divides that other line into two equal parts at its midpoint.

The perpendicular bisector theorem states that any point on the perpendicular bisector is equidistant from both the endpoints of the line segment on which it is drawn.

According to the question,

Consider the following figure, in which C is an arbitrary point on the perpendicular bisector of ST (which intersects ST at Q):

Compare

ΔSCQ and ΔQCT

We have:

SC= CT (considering) CQ = QC (common) ∠SQT= ∠CQT = 90°

We see that

ΔSCQ ≅ ΔQCT

By the SAS congruence criterion. Thus, SQ = QT, which means that Q is equidistant from S and T

Hence , Q on segment CD is equidistant from endpoints S and T

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Abby is trying to prove that if segment cd is a perpendicular bisector of segment st, then any point,

WILL MARK YOU BRAINLIEST!!!!! Please help me with my geometry.

Answers

Answer: i believe your answer is c! i hope that helps!

Step-by-step explanation: im sorry ifs not, im not the gratest at this:(

Estimate 2.8 divided by 6

Answers

$\huge\fcolorbox{blue}{Red}{Solution→}$

2.8 ÷ 6 = 0.4666666.... it will continueThe estimate would be the round off of the Actual answer which would be 0.5 since 0.46666.. is closer to 5

Answer:

1/2 or 0.5

Step-by-step explanation:

Since this question is asking for an estimate, you have to round 2.8 to the nearest whole number. 2.8 is closer to 3 rather than 2. Since 6 is already a whole, divide 3 by 6, which is 1/2 or 0.5. If you were to solve this problem without estimating, you would get 0.4666666666, which rounds to 0.5, but the question asks for an estimate.

Hope this helps!

A spinner for a board-game is divided into four equal-sized sections colored red, green, yellow, and blue. If you land on a line between the colors, you keep spinning until you land on a color. Violet's turn is next. Which word or phrase describes the probability that she will land on orange?

an equal chance or 50-50
an equal chance or 50-50

likely
likely

impossible
impossible

unlikely
unlikely

Answers

The word that describes the probability that she will land on orange is (c) unlikely

How to describe the probability that she will land on orange?

From the question, we have the following parameters that can be used in our computation:

Sections = 4

The orange sections in the spinner is

Orange = 1

So, we have

P(Orange) = 1/4

Evaluate

P(Orange) = 0.25

This value is less than 0.5

This means that the probability is unlikely

Hence, the probability that she will land on orange is (c) unlikely

Answers

Answer:

68.1 units²

Step-by-step explanation:

Start by finding the area of the rectangle...

$Area=lw\\Area=6*9\\Area=54$

Then, find the area of the semicircle...

$Radius=\frac{1}{2}*Diameter=\frac{1}{2}*6=3$

$Area=\frac{1}{2}\pi r^2\\Area=\frac{1}{2}\pi 3^2\\Area=\frac{1}{2}\pi 9\\Area=\frac{9}{2}\ pi\\Area\approx14.1$

Now, add the two to get...

54+14.1=68.1

The sum of three consecutive odd integers is 2,193. What are the integers? (show your work)

Answers

Answer: x = 729

Step-by-step explanation:

729+731+733 = 2193

x+(x+2)+(x+4) = 2193

x + (x+2) + (x+ 4) = 2193
3x +6 = 2193
Subtract 6 on both sides of the equal sign.
3x =2187
Divide 3 on both sides of equal sign so that you isolate the variable
x= 729
729, 731, 733
To get the three numbers plug in x to each equation in the first line .
x =729 729+2 = 731 729+4 =733

If your insurance plan is $15,000 and you pay for 20%, how much do you
pay monthly? *
2 poir
$250
$3,000
$57.69
$300

Answers

Answer: 250

Step-by-step explanation:

20% of 15,000 is 3,000

3,000/12=250

Answer:

$3000 Per Month

Step-by-step explanation:

Hi there,

How I like to solve these is first take the total number (15,000) and divide it by 100 to then find how much 1% of 15,000 is.

So :

15,000 / 100

150

Now we know :

1% = $150

We need to find 20% now so all we do is multiply.

150 x 20

($150 x 20%)

= $3,000 Per Month

I hope this helps!

If you have any questions or concerns be sure to comment or message me ! :)

EDIT : The other person is most likely right. I am 17 and dont have insurance yet Lol

One school survey showed that 3 out of 5 students own a pet. Another survey showed that 6 out of 11 students own a pet. Are these results proportional?

Answers

Answer:

They are not proportional.

Step-by-step explanation:

The proportions of each survey differ in size.

$\frac{3}{5} \neq \frac{6}{11}$

The first survey represents 60% and the second 54.5% (0.6 and 0.545 in decimal form). Therefore, they are not proportional.

Hope this helps.

Help me on this question please

Answers

The measure of angle DAB in the given quadrilateral can be calculated as: 109°.

How to Find the Measure of an Angle in a Quadrilateral?

To find the measure of an angle in a quadrilateral, you need to use the fact that the sum of all angles in a quadrilateral is always equal to 360 degrees.

Using the above fact stated, we can add up the three known angles in the given quadrilateral and then subtract it from 360 degrees to find the measure of angle DAB.

Thus, we have:

m<DAB = 360 - (90 + 97 + 64)

m<DAB = 360 - 251

m<DAB = 109°

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Radius of a quarter circle is 1 foot what is the quarter circles area

Answers

Answer: A=πr2=π·12≈3.14159ft²

Step-by-step explanation:

With the value of the circumference of the circle, find the radius of a circle. Then substitute the value of the radius of the circle in the formula of area of a quarter circle using radius which is πr2/4.

Answer:

0.785 ft²

--------------------------------

Area of circleA = πr²A = 3.14×1² = 3.14 ft²

Area of the quarter of circleA/4 = 3.14/4 = 0.785 ft²

Find the equation of the line that goes through (-8,11) and is perpendicular to x= - 15. Write the equation in the form x = a, y = b, or y = mx + b.
The equation is
(Type the equation using integers or fractions. Simplify your answer.)

Answers

Answer:

y=11

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (-8, 11) and is perpendicular to x=-15

If a line is perpendicular to another line, it means that the slopes of those lines are negative and reciprocal; in other words, the product of the slopes is equal to -1

The line x=-15 has an undefined slope, which we can represent as 1/0, which is also undefined.

To find the slope of the line perpendicular to x=-15, we can use this equation (m is the slope):

$m_1*m_2=-1$

$m_1$ in this instance would be 1/0, so we can substitute it into the equation:

$\frac{1}{0} *m_2=-1$

Multiply both sides by 0

$m_2=0$

So the slope of the new line is 0

We can substitute it into the equation y=mx+b, where m is the slope and b is the y intercept:

y=0x+b

Now we need to find b:

Since the equation passes through the point (-8,11), we can use its values to solve for b.

Substitute -8 as x and 11 as y:

11=0(-8)+b

Multiply

11=0+b, or 11=b

So substitute into the equation:

y=0x+11

We can also write the equation as y=11

Hope this helps!

Florida has about 66 tornadoes each year, which is approximately 5.7% of all tornadoes in the United States annually. Estimate how many tornadoes occur in the United States each year

Answers

The number of tornadoes that occur in the United States each year is 1158

How to determine the tornadoes each year

Let's call the number of tornadoes in the United States each year "x".

The number of tornadoes in Florida each year is 5.7% of this total

So we can write:

66 = x * 5.7%

Divide both sides by 5.7%

x = 66/5.7%

Evaluate

x = approximately 1158

So, approximately 1162 tornadoes occur in the United States each year.

Answers

Answer:

-2

Step-by-step explanation:

A truck holds 48,000 pounds of sand.
How many tons are in 48,000 pounds?

Answers

Answer:

Step-by-step explanation:

dont exaclty have an explanations - its just the calculations

meridians of identify degrees east and west of the . these lines are / are not (circle) scientifically based. why/why not?

Answers

The meridians of longitude identify the degrees east and west of the Prime Meridian. These lines are scientifically based because they are determined by the Earth's rotation and provide a consistent and accurate system for navigation, mapping, and timekeeping.

1. The meridians of longitude are imaginary lines that run vertically from the North Pole to the South Pole on the Earth's surface.
2. The Prime Meridian, located at 0 degrees longitude, serves as the starting point for measuring degrees east and west.
3. The degrees of longitude are divided into 360 equal parts, with each degree representing one hour of the Earth's rotation.
4. The meridians of longitude allow us to determine specific locations on the Earth's surface and measure the angular distance from the Prime Meridian.
5. The scientific basis of meridians of longitude enables global coordination and facilitates activities such as international travel, communication, and scientific research.

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-can someone help me 4d+3 if d=-1

Answers

-4(-1)+3
4+3=7
The answer will be 7 because negative number times negative gives you a positive answer. 4+3 will be 7

Answer:

Step-by-step explanation:

-4d+3

-4(-1) + 3 Insert -1 for d

4+3=7

5 oranges and 14 bananas cost me $1.30 and 8 oranges and 9 bananas
cost me $1.41.

a) Represent this information as a matrix equation.

b) Find the cost of a banana and an orange.

Answers

A) The matrix equation that represents the given information is;

$\left[\begin{array}{ccc}5&14\\8&9\\\end{array}\right]$ $\left[\begin{array}{ccc}x&\\y\\\end{array}\right] = \left[\begin{array}{ccc}1.30&\\1.41\\\end{array}\right]$

B) The cost of a banana is; $0.05

The cost of an orange is; $0.12

How to create and solve a matrix equation?

A matrix equation is defined as an equation where a variable stands for a matrix .

Let x represent cost of oranges

Let y represent cost of bananas

5 oranges and 14 bananas cost me $1.30 and 8 oranges and 9 bananas

cost me $1.41. Thus, the equations are;

5x + 14y = 1.30 ----(1)

8x + 9y = 1.41 -----(2)

A) Now, the matrix form of the simultaneous equation above will be;

$\left[\begin{array}{ccc}5&14\\8&9\\\end{array}\right]$ $\left[\begin{array}{ccc}x&\\y\\\end{array}\right] = \left[\begin{array}{ccc}1.30&\\1.41\\\end{array}\right]$

B) Multiply the first equation by 8 and the second one by 5 to get;

40x + 112y = 10.4

40x + 45y = 7.05 Subtract to get;

67y = 3.35

Divide both sides by 67 to get;

y = $0.05 per banana

Plug in 0.05 for y into eq 1 to get;

5x + 14(0.05) = 1.30

5x + 0.7 = 1.3

5x = 1.3 - 0.7

5x = 0.6

x = 0.6/5

x = $0.12

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Part F

Open the parallel lines reflection application. The right set of parallel lines is a reflection across the y-axis of the left set of parallel lines. Click the reflect over y-axis button. Are the two sets of parallel lines the same? What does this mean about how parallel lines change when you reflect them?

Part G

Open the angle reflection application. Rotate the angle 90° counterclockwise. Then, translate it left 3 units. Finally, reflect it across the y-axis. What is the relationship between the original angle and the transformed angle? If you transform an angle with a sequence of reflections, rotations, or translations, is it still an angle?

Answers

The relationship between the original angle and the transformed angle is that they are the same angle with different properties.

An angle is a geometric figure that is formed by two rays with a common endpoint called the vertex. A sequence of reflections, rotations, and translations can transform a given angle. The result of the transformation is still an angle, but it has different properties than the original angle. We can explore the relationship between the original angle and the transformed angle by performing the given sequence of transformations. Here are the steps to transform the given angle:
- Rotate the angle 90° counterclockwise: We can use the rotate tool to perform this transformation. The resulting angle is a different size and shape than the original angle, but it still has the same vertex and endpoints.
- Translate it left 3 units: We can use the translate tool to perform this transformation. The resulting angle is shifted to the left by 3 units. The size and shape of the angle are unchanged.
- Reflect it across the y-axis: We can use the reflect tool to perform this transformation. The resulting angle is flipped across the y-axis. The size and shape of the angle are unchanged, but the orientation is reversed.
The relationship between the original angle and the transformed angle is that they are congruent. This means that they have the same size and shape. However, the orientation of the transformed angle is different from the original angle. The transformed angle is rotated counterclockwise, shifted to the left, and reflected across the y-axis. Therefore, the relationship between the original angle and the transformed angle is that they are the same angle with different properties.
In conclusion, we can transform an angle with a sequence of reflections, rotations, or translations. The result of the transformation is still an angle, but it has different properties than the original angle.

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how to construct a confidence interval of the population proportion given at the level of confidence

Answers

Answer:

Step-by-step explanation:

what i do not undersante

Christian owed his dad $5. He got $23 for his birthday. After paying his dad, how much money does he have?

Answers

Answer:

Step-by-step explanation:

$23 - $5 = $18 left

A cheesecake recipe says to mix 12 oz of cream cheese with 15 oz of sugar. How many ounces of cream cheese will be needed for 45 oz of sugar?

Answers

Answer:

1.5

Step-by-step explanation:

it is one and one half, in other words.

Answer:

36 oz of cream cheese

sugar: 45 divided by 15 equals 3

12 times 3 equals 36

What is 60% markup on $18.25?
Compute the total cost of an item you purchased for $18.25, but you now want to resell it for 60% more than what you've paid for it. What is the new cost?

Answers

Answer:29.2

Step-by-step explanation:The equation used to add a markup percent to a product is the cost plus the markup percentage multiplied by the cost.

Answer:

$29.20

Step-by-step explanation:

The original price of an item is 100%, so a 60% mark up means that the price will now be 160% of the original price.

160% = 160/100 = 1.6

⇒ 160% of $18.25 = 1.6 × 18.25 = $29.20

Write the slope-intercept form of the equation of the line described.

Answers

it’s a! hoped this helped you!!!!

Slope: -1/2
Y = -1/2x + b
-3 = -1/2(-2) + b
-3 = 1 + b, b = -4
Y = -1/2x - 4
I believe A is the correct equation

What is the meaning of a 95% confidence interval for a population mean?

Answers

A 95% confidence interval is a set of data that contains the real mean of the population 95% of the time. This is not the same as a range that includes 95% of the possible values.

What is Confidence Interval?

In statistics, a confidence interval defines the possibility that a population parameter will fall between a set of values for a certain proportion of the time.

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