The probability that both will be girls is 1/30.
What is probability?Probability is a branch of mathematics that deals with the numerical description of how likely an event will occur or not.
To find the probability of both girls as president and vice president, first, we need to find the probability of picking a girl as the president and then also find the probability of picking a girl as the vice president and multiply both together.
The probability of picking a girl as the president(Pr(pres) = Total numbers of girls(n)/Total members in the club(M)Pr(pres) = n/M............Equation 1From the question,
Given:
M = 25 n = 5Substitute into equation 1
Pr(Pres) = 5/25Pr(Pres) = 1/5.Also, we need to find the probability of selecting a girl as the vice president.
Pr(v.p) = (n-1)/(M-1)Where:
Pr(v.p) = Probability of selecting a girl as the vice presidentFinally,
The probability that both will be girls is = (1/5)(1/6)The probability that both will be girls = 1/30Hence, The probability that both will be girls is 1/30.
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A. In cell a6, enter a formula without using a function that references cell a6 in the washington worksheet.
The formula to use without using a function is 'Washington worksheet'a6!
What is Cell Referencing?In Microsoft Excel, A cell reference is the referencing of a cell or a group of cells on a worksheet that can be used in computation to discover the data values that you want to calculate.
So, suppose we have a cell a6 on the worksheet and we want to go to the Washington worksheet.
We need to follow these procedures:
Take the name of the Washington worksheetEnclose it in single quotation marks. Use an exclamation point. i.e. 'Washington worksheet'a6!This will take the value from cell a6 and place it in our cell.
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Let a =⟨–7, 3⟩ and b =⟨–2, –12⟩, and c = a + b. What is the magnitude and direction angle of c?.
Answer:
lcl = 9 radical 2; theta = 225 degrees
Explanation:
The answer is D!
There are 1,000 golden delicious and 1,000 red delicious apples in a cooler. In a random sample of 75 of the golden delicious apples, 48 had blemishes. In a random sample of 75 of the red delicious apples, 42 had blemishes. Assume all conditions for inference have been met. Which of the following is closest to the interval estimate of the difference in the numbers of apples with blemishes (golden delicious minus red delicious) at a 98 percent level of confidence?.
Using the z-distribution, it is found that the 98% confidence interval for the difference in the proportion of apples with blemishes is of (-0.1055, 0.2655).
Sample proportions and standard errorsThe sample proportions, and standard error for each sample, are given as follows:
[tex]p_G = \frac{48}{75} = 0.64[/tex]
[tex]s_G = \sqrt{\frac{0.64(0.36)}{75}} = 0.0554[/tex]
[tex]p_R = \frac{42}{75} = 0.56[/tex]
[tex]s_R = \sqrt{\frac{0.56(0.44)}{75}} = 0.0573[/tex]
Distribution of differencesThe distribution of differences has mean and standard error given by:
[tex]p = p_G - p_R = 0.64 - 0.56 = 0.08[/tex]
[tex]s = \sqrt{s_G^2 + s_R^2} = \sqrt{0.0554^2 + 0.0573^2} = 0.0797[/tex]
What is the confidence interval?The confidence interval is given by:
[tex]p \pm zs[/tex]
z is the critical value. We have a 98% confidence level, hence, using a z-distribution calculator, it is of z = 2.327.
The lower limit of this interval is:
[tex]\pi - zs = 0.08 - 2.327(0.0797) = -0.1055[/tex]
The upper limit of this interval is:
[tex]\pi + zs = 0.08 + 2.327(0.0797) = 0.2655[/tex]
The 98% confidence interval for the difference in the proportion of apples with blemishes is of (-0.1055, 0.2655).
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Gustav was out for his daily walk when he was approached by a thief who demanded his wallet. He immediately felt an increase in his breathing and heart rate. Which of the following accurately describes gustav’s physiological response?.
The term that accurate describes Gustav's physiological response is: alarm reaction.
What is the Alarm Reaction Stage?The alarm reaction stage is characterized by what we can call the "fight-or-flight" response. This occurs when the body receives signal of danger or stress, and thereby puts the body on high alert.
When this occurs, the body initiates psychological response such as increased breathing and heart rate, which prepares the body to either protect or flee from the perceived danger.
Therefore, the term that accurate describes Gustav's physiological response is: alarm reaction.
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Which of the following statements best illustrates a social-cognitive explanation for the development of depression?.
Answer:
Yolanda ruminates about her failures, so she is more likely to develop depression
Explanation:
What is the molar mass of diazepam (valium ® ) if 0. 05570 mol has a mass of 15. 86 g ?.
Answer:
What is the molar mass of diazepam (valium) if 0.05570 mol has a mass of 15.86 g?
A:
= 15.86 g
Consider the situation in which the health inspector finds the sample mean of the 4 pools to be outside the safe ph levels. As a result, the inspector declares that the population mean is not 7. 5. However, if the population mean really is 7. 5, the inspector will have made an error. Such an error is called a type i error. Find the probability that the inspector will make a type i error with the sample of 4 pools. Show your work.
The probability of Type I error is the likelihood of finding a mean outside
the safe zone for the 4 pools.
The probability that the inspector will make a Type I error is 0.0026What is a Type I error and what is the probability that it will occur?In hypothesis testing, a Type I error is the error of rejecting a true null
hypothesis.
From a similar question, the possible parameters are;
The safe pH levels for swimming pools is between 7.2 and 7.8
The standard deviation is 0.2
The probability that the pH is within the safe zone is found as follows;
[tex]The \ z-score, \ Z = \mathbf{\dfrac{\overline x - \mu}{\dfrac{\sigma}{n} }}[/tex]
Which gives;
[tex]\mathbf{P \left(\dfrac{7.2 - 7.5}{\dfrac{0.2}{\sqrt{4} } } < \dfrac{\overline x - \mu}{\sigma} < \dfrac{7.8 - 7.5}{\dfrac{0.2}{\sqrt{4} }} \right)} = P(-3 < Z < 3)[/tex]
P(-3 < Z < 3) = P(Z < 3) - P(Z > -3) = P(Z < 3) - (1 - P(Z < 3))
P(Z < 3) - (1 - P(Z < 3) = 2·P(Z < 3) - 1
2·P(Z < 3) - 1 = 2 × 0.9987 - 1 = 0.9974
The probability that the swimming pool is not safe = 1 - (2·P(Z < 3) - 1)
1 - (2·P(Z < 3) - 1) = 1 - 0.9974 = 0.0026
Which gives;
The probability that the mean will be seen as not in the safe zone and therefore not 7.5 is 0.0026 and the probability that the inspector will make a Type I error is 0.0026Learn more about hypothesis testing here:
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Driving cattle on the cattle trails was very hard work in hot, dry locations. Which incentive did people have to do this difficult work?.
Answer:
The price they could get for selling cattle was high
Explanation:
Sam is proving the product property of logarithms. Step justification mc030-1. Jpg given mc030-2. Jpg substitution which expression and justification completes the third step of her proof? mc030-3. Jpg; power rule of exponents mc030-4. Jpg subtraction property of exponents mc030-5. Jpg multiplication rule of exponents mc030-6. Jpg division property of exponents.
Based on the properties of logarithms, Sam's justification for the third step would be [tex]log_{b} ( b ^{x} ^{+} ^{y})[/tex] power rule of exponents.
Why would this be the third step?When multiplying bases that are the same but with different exponents, the exponents should be added.
= [tex]log_{b} (b^{x} . b^{y})[/tex]
Can be written as:
= [tex]log_{b} ( b ^{x} ^{+} ^{y})[/tex]
In conclusion, option C is correct.
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Answer:
c
Explanation:
got it right on edge 2022
If quadrilateral pqrs is a kite, which statements must be true? select three options qp ≅ qr pm ≅ mr qr ≅ rs ∠pqr ≅ ∠psr ∠qps ≅ ∠qrs.
If quadrilateral pqrs is a kite, the statements that must be true is that:
qp ≅ qr pm ≅ mr ∠qps ≅ ∠qrs.What are quadrilateral?This is a term that is found in geometry. A quadrilateral is known to be a kind of a closed, two-fold shape that has four straight sides.
The polygon is also known to have four vertices or corners. The shape of quadrilaterals can be seen in a lot of things around us. If quadrilateral pqrs is a kite, the statements that best shows that it is a kite are qp ≅ qr, pm ≅ mr , and ∠qps ≅ ∠qrs.
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Answer:
A, B, and E are the correct options.
Explanation:
Two disjoint pairs of consecutive sides are congruent by definition - QP≅QR and QR is not congruent to RS (one side can’t be used in both pairs);
One diagonal (segment QS, the main diagonal) is the perpendicular bisector of the other diagonal (segment PR, the cross diagonal), so PM≅MR;
The opposite angles at the endpoints of the cross diagonal are congruent, thus ∠QPS≅∠QRS.
∠PQR is not congruent to ∠PSR, because they are not angles at the endpoints of the cross diagonal.
Therefore, A, B, and E are the correct options.
This figure consists of a rectangle and semicircle. What is the perimeter of this figure? use 3. 14 for pi.
Answer:
Wheres the figure
Explanation:
hey guys are you able to search up peoples names to freind them my main acc got banned and i cant find my freind please help me guys
Answer:
do you remember a question or answer that they asked or said?
Explanation:
you can search for the question and find them through there
this is my pictures of leafpool and jayfeather
Answer:
it looks really good, i like the details of the ears!
Explanation:
Sara’s guatemalan host mother often sings around the house. Sara asks her to write down the lyrics to one of her favorite songs so that she can learn to sing along. Which one of the following themes does not appear in the lyrics to this song?.
Answer:
C. Prayer
Explanation:
got it right on edg. :)
In 2004, the general social survey (which uses a method similar to simple random sampling) asked, "do you consider yourself athletic?" for this question, 255 people said that that they did out of 2373 randomly selected people. We will make a 99% confidence interval for:.
Using the z-distribution, as we are working with a proportions, it is found that the 99% confidence interval for the proportion of people who consider themselves athletic is (0.0911, 0.1239).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, the parameters are as follows:
[tex]z = 2.575, n = 2373, \pi = \frac{255}{2373} = 0.1075[/tex]
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1075 - 2.575\sqrt{\frac{0.1075(0.8925)}{2373}} = 0.0911[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1075 + 2.575\sqrt{\frac{0.1075(0.8925)}{2373}} = 0.1239[/tex]
The 99% confidence interval for the proportion of people who consider themselves athletic is (0.0911, 0.1239).
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Light stimuli entering the eye encounter a series of structures while traveling to the brain. Place the structures in the correct order.
Placing the structures encountered by light stimuli when entering the eye in correct order is as follows :
Cornea --> Retina ---> Rods and cones ----> Ganglion cells ---> Optic nerve ----> Thalamus ----> Primary visual cortex
Steps followed by the light stimuli
When light enters the eye it will have to travel through these structures before the light stimuli will get to the optic nerve which relates the stimuli to the brain for interpretation and relay of message to the eye.
The cornea is part of the outermost part of the human eye that receives the stimuli before relating it to the retina which in turn sends the stimuli to the rods and cones and so on.
Hence we can conclude that the correct order is as follows : Cornea --> Retina ---> Rods and cones ----> Ganglion cells ---> Optic nerve ----> Thalamus ----> Primary visual cortex.
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Which of the following equation has x = 6 as the solution?.
In the early 1600s which issue regarding contact between.
What is the craziest thing you guys have ever done-
Yes this is needed for school since they are asking what is the craziest thing I have ever done.
Answer:
laughed àt myself in the mirror at the morning
Which style did the artist use to decorate this horse bit from luristan?.
Answer:
The artist used Animal Style
Explanation:
Please mark me as brainliest
A triangle is inscribed in a semicircle. One angle measures 50°. What is the measure of the other two angles?.
Answer:
90 degrees and 40 degrees
Explanation:
When finding angles of a triangle within a semicircle the triangle would usually be a right triangle. One common fact about right triangles is always that they have 90-degree angles, one common fact about triangles angles in general is that all three angles add up to 180 degrees.
So, if we have 50-degree angle and a 90-degree angle:
[tex]180-90=90[/tex]
[tex]90-50=40[/tex]
[tex]=40[/tex]
Therefore, your three angles are "50, 90, and 40 degrees."
Hope this helps.
Which of the following best describes the effect of the new deal on the great depression.
Answer:Roosevelt's "New Deal" aimed at promoting economic recovery and putting Americans back to work through Federal activism. New Federal agencies attempted to control agricultural production, stabilize wages and prices, and create a vast public works program for the unemployed.
Explanation:
In 1933, american farms ran on electrical power. The rural electrification authority worked to solve this problem. Helped set up power lines across the country. By 1950, farms ran on electrical power.
Answer:
1.one out of 10
2.private utility companies
3.nine out of 10
Explanation:
Arrange the jumbled sentences to form an organized paragraph.
Answer:
what sentences??
Explanation:
Strawberry sells bicycles. One bicycle sells for $85, and the cost to produce a bicycle is $65. What is strawberry's return on investment (roi)?.
We will see that the return on investment is 30.77%
How to get the return on investment?
The return on investment is given by the formula:
ROI = 100%*(selling price - cost)/(cost).
Here we have:
Selling price = $85Cost = $65.Replacing that on the above formula, we get:
ROI = 100%*($85 - $65)/$65= 30.77%
This means that the store wins 30.77% of what the pay for the product.
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A client has requested adjustments to the arrangement and placement.
Based on the situation described above, the client wants to make changes to the composition of the painting in general.
What is the arrangement and placement of an image?In the visual arts, mostly in the aspect of painting, graphic design, photography. etc., the composition is known to be the placement or arrangement of visual elements or factors imbedded in a work of art.
The client wants to make changes to the composition of the painting because he or she may not have like some of the elements used in the image.
See full question below
a client has requested adjustments to the arrangement and placement of elements on an image. what does the client want changed?
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A sociologist is studying the social media habits of high school students in a school district. The sociologist wants to estimate the average total number of minutes spent on social media per day in the population. A random sample of 50 high school students was selected, and they were asked, "how many minutes per day, on average, do you spend visiting social media sites?" which of the following is the most appropriate inference procedure for the sociologist to use?.
Answer:
A one-sample z-interval for a population proportion
Explanation:
One-sample z-interval for a population proportion.
Who is Sociologist?Sociology is the study of how people affect and are affected by society. According to the dictionary, "the systematic study of society and social interaction" is what sociology is.
The word "sociology," which is described as "reasoned conversation concerning friendship," is derived from the Latin word socius, which means "fellow," and the Greek word logos, which means "saying or reason."
Sociologists use a variety of methods to study society and social behavior. They examine how people develop social structures, organizations, communities, cultures, and groups before applying these lessons to the real world.
Therefore, One-sample z-interval for a population proportion.
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In united states history the term wildcatter would be most associated with which of these images.
Answer:
should be the oil rig image the only oil rig
Explanation:
Seeing as if you just look it up on whatever browser you're using. searching "wildcatter Texas" you will find many sites and images backing me up. One site saying and I quote "W.A. MONCRIEF: I think a wildcatter is a man who is imbued with a spirit of making a real discovery and is willing to take greater chances and play greater odds than the oil companies or men who are more conservative. MAT BARTON: Takes money. It takes money and plenty of it to do a wildcat well. And a man who hasn't got too much sense." Many sites also say the same thing. but if you are curious then go check yourself. I think this is also why many schools in Texas are Wildcats seeing as oil was one of the best things to happen in Texas.
Answer: b
Explanation: I took test plus oil was very very important
Both leopold and matthai believe that we must protect the environment and and preserve our natural resources so the good life is possible for future generations. Discuss a solution that each of them proposes, describe how they are similar and how they are different, and explain which author makes the most compelling argument in your opinion.
Leopoldo and Matthai's arguments in relation to environmental preservation are similar in the sense that they have the same scope, which is the protection of the environment to maintain the quality of life for current and future generations.
Regarding the differences in the basis of the argument between the two, Maathai builds his argument through a personal discourse, whereas Leopoldo's argument is related to a general problem, such as the lack of information available to the population on the subject.
Triple Botton LineIt corresponds to fundamental aspects that must be integrated into societies and their institutions in order to promote the sustainable development of natural resources and society. The Triple Botton Line is formed by the pillars:
SocialEconomicEnvironmentalTherefore, Leopoldo and Matthai's arguments are positive and contribute to the dissemination of information and the promotion of discussion about the importance of environmental preservation and its impacts on everyone's lives.
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A number decreased by 12 is equal to 9 what is the number.
Answer:
21 is the correct answer
Explanation:
9+12=21
21-12=9