P(X≤−1.9)=0.0287165598160018P(X≤−1.9)=0.0287165598160018
P(X≥1.7)=0.044565462758543P(X≥1.7)=0.044565462758543
P(−1.95996398454005≤X≤1.95996398454005)=0.95
Answer:
92.67% probability of obtaining a z value between -1.9 to 1.7.
Step-by-step explanation:
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
For a standard normal distribution, the probability of obtaining a z value between -1.9 to 1.7 is
This probability is the pvalue of z = 1.7 subtracted by the pvalue of z = -1.9.
z = 1.7 has a pvalue of 0.9554.
z = -1.9 has a pvalue of 0.0287.
So there is a 0.9554-0.0287 = 0.9267 = 92.67% probability of obtaining a z value between -1.9 to 1.7.
What are the orders of 3,7,9,11,13,17 and 19(mod20)?does 20 have primitive roots?
Ineed help help me please
please help me!!!
The scale for the map of Missouri is 1 in = 30 mi. On the map, the distance from Springfield to Columbus is about 5.6 in. How far apart are the two cities? Round your answer to the nearest mile.
if 1 inch = 30 miles
thn multiply 30 x 5.6
30 x 5.6 = 168 miles apart
The actual distance between Springfield and Columbia is 168 miles.
Therefore, the correct answer is:
b. 168 mi
To find the actual distance between Springfield and Columbia, we can use the scale provided in the map.
Given that 1 inch on the map represents 30 miles in real life, and the distance on the map from Springfield to Columbia is 5.6 inches, we can use the following calculation to find the actual distance:
[tex]\[ \text{Actual distance} = \text{Map distance} \times \text{Scale factor} \][/tex]
[tex]\[ \text{Actual distance} = 5.6 \, \text{inches} \times 30 \, \text{miles/inch} \][/tex]
[tex]\[ \text{Actual distance} = 168 \, \text{miles} \][/tex]
So, the actual distance between Springfield and Columbia is 168 miles.
Therefore, the correct answer is:
b. 168 mi
Which expression is equivalent to the given expression? 100pts giveaway 3x(1.05) 3x + 3x + 3x 1.05x + 1.05x + 1.05x x + 3.15 1.05x + 3
Under what circumstance are two non right triangles congruent
EASY 5 POINTS!!!!! You have a 1-gallon paint can in the shape of a cylinder. One gallon is 231 cubic inches. The radius of the can is 3 inches. What is the approximate height of the paint can? Use 3.14 for pi.
A.) 5 inches
B.) 25 inches
C.) 8 inches
D.) 26 inches
Answer:
The height of the cylinder shaped can = 8.17 inches
Step-by-step explanation:
Volume of the cylinder shaped can = 1 gallon
1 gallon = 231 cubic inches
So, Volume of the cylinder shaped can = 231 cubic inches
Radius of the can = 3 inches
[tex]\text{Now, Volume of the cylinder = }\pi\times radius^2\times height\\\\\implies 231=3.14\times 3^2\times height\\\\\implies height=\frac{231}{3.14\times 9}\\\\\implies height\approx 8.17\text{ inchjes}[/tex]
Hence, The height of the cylinder shaped can = 8.17 inches
Simplifying expressions with exponents
Factor completely 2x3 + 14x2 + 4x + 28.
Ava wants to wash one load of laundry at a local laundromat. At laundromat A, it costs $6.35 to wash and $1.25 to dry one load of laundry. At laundromat B, it costs $5.95 to wash and $0.85 to dry one load of laundry. Which laundromat has the better price for doing one load of laundry, and by how much?
Laundromat A = 6.35 +1.25 = 7.60 for one load
Laundromat B = 5.95 +0.85 = 6.80 for one load
7.60-6.80 = 0.80
Laundromat B is has the better price by 0.80 cents
The table below shows the number of marbles of different colors in a bag: Color of Marbles Number of Marbles Pink 5 Blue 2 Green 3 Ursula draws a marble from the bag randomly without looking. She then draws another marble from the bag without replacing the first one. Which expression shows the probability of drawing green marbles in both the trials? plz help!!!!
What does the value of the GCF
represent?
Perry has an opportunity to put $2291 into an investment with an APR of 7.6%. How long will it take his investment to double?
Elixir of acetaminophen contains 160 my per 5 milliliters. How much acetaminophen is needed to prepare 2 ounces of elixir?
jack is mowing a lawn that has a shed. needs to know area of lawn to mow. dimensions of yard are 5x by 13 x-4 . she'd are 2x by 2x+4. " find polynomial that describes area of lawn needed to mow. Polynomial in answer should have two terms.
please help.
The sum of two consecutive even integers is 138. Write an equation and solve
The two consecutive even integers that sum to 138 are 68 and 70. The equation n + (n + 2) = 138 was used to determine these integers.
Explanation:The problem is asking for two consecutive even integers whose sum is 138. Let's denote the first integer as n (where n is an even number). As the problem says the numbers are consecutive even integers, we know the next number must be n + 2.
We can form an equation based on the information given. The sum of these two integers is equal to 138, so:
n + (n + 2) = 138If we simplify the equation, it becomes:
2n + 2 = 138By subtracting 2 from both sides, 2n = 136We then divide both sides by 2 to get n = 68Therefore, the two consecutive numbers are 68 and 70 as they add up to 138.
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can someone explain to me multi step algebra equations? 15 points Thaaaanks~
Final answer:
Multi-step algebra equations involve operations like addition, subtraction, multiplication, or division to solve for an unknown. These equations require simplifying terms, solving for unknowns, and checking the answers. Money examples and practice statements are useful for understanding these concepts.
Explanation:
Multi-step algebra equations are problems that require more than one operation, such as addition, subtraction, multiplication, or division, to solve for the unknown variable. The following steps are typically involved in solving these equations:
Eliminate terms wherever possible to simplify the algebra. This might involve combining like terms or canceling out terms on both sides of the equation.Solve the simultaneous equations for the unknowns. This can be done through methods such as substitution or elimination when dealing with more than one equation.Check the answer to ensure it fits the original equation. Substituting the solution back into the original equation can verify its correctness.An example of this process could be the following scenario: You are given two equations in a word problem involving motion, one equation for velocity and another for time. To find the distance traveled, you would identify the known variables and the unknown variable (in this case, distance), simplify both equations as much as possible, and then combine them to solve for distance.
Money examples are often used for educational purposes because they provide a familiar context for understanding mathematical principles, making them easier to grasp. Additionally, practicing with state-ments, such as covering up a number to solve for it with the remaining information, can help build problem-solving skills.
Simplify the expression by using a double-angle formula. 2 cos^2 4 theta -1
The directions for mixing an insect spray say to use 1 1/2 ounces of chemical in each gallon of water. How many ounces of chemical should be mixed with 3 4/5 gallons of water? First, estimate the answer to the application problem. Then find the exact answer.
What is the largest possible value of y, if y = - | 3 - x | + 5
The distribution of the number of occurrences of the letter t on the pages of a book is found to be a normal distribution with a mean of 44 and a standard deviation of 18. If there are 500 pages in the book, which sentence most closely summarizes the data?
The data represents a normal distribution where approximately 68 percent of the pages will have a number of occurrences of the letter t within one standard deviation of the mean, 95 percent within two standard deviations, and more than 99 percent within three standard deviations.
Explanation:The sentence that most closely summarizes the data is: For data having a distribution that is bell-shaped and symmetric, the following are true:
Approximately 68 percent of the data is within one standard deviation of the mean.Approximately 95 percent of the data is within two standard deviations of the mean.More than 99 percent of the data is within three standard deviations of the mean. This is known as the Empirical Rule.Using this information, we can conclude that approximately 68 percent of the pages in the book will have a number of occurrences of the letter t within one standard deviation of the mean, which is 44. Approximately 95 percent of the pages will have a number of occurrences within two standard deviations, and more than 99 percent will have a number of occurrences within three standard deviations.
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if you were to load 225 boxes onto a truck and the boxes are created with each crate containing 9 boxes how many crates would you need to load
Question 11(Multiple Choice Worth 5 points) (09.03 MC) A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table below: Male Female Type A 55 75 Type B 48 22 Compare P(Male | Type A) with P(Male or Type A).
The solution would be like this for this specific problem:
[tex]\large P(F) \times P(B )= \frac {97} {200} \times \frac {70}{200} = \frac {97 \times 70} {200 \times 200} = 0.16975[/tex]
You need to compare the results of: P(female or type B) which is written in correct symbols as:
[tex]\large P (F\cup B) [/tex]
and P(female | given type B) which is written in correct symbols as:
[tex]\large P(FlB)
\large (F\cup B)=0.835 - 0.17 = 0.665
\large P (FlB) = 0.314
\large P (F \cup B) \ \textgreater \ P (F|B)[/tex]
So, the correct answer would be: P (Female or Type B) > P (Female | Type B).
Answer:
The answer is P(Female or Type B) > P(Female | Type B)
Step-by-step explanation:
Just took the test.
Also check if you want the answer for males or females before you choose because they are completely different questions
Find all values of c such that f is continuous on (-∞, ∞). $ f(x) = \left\{ \begin{array}{lcl} {\color{red}5} - x^{2}, & & x \le c \\ x, & & x > c \end{array}\right. $
The values of c such that the function f is continuous are: c = -2.79 and c = 1.79
The function is given as:
[tex]f(x) = \left\{ \begin{array}{lcl} {5} - x^{2}, & & x \le c \\ x, & & x > c \end{array}\right.[/tex]
For the function to be continuous, then the following must be true
[tex]5 - x^2 = x[/tex]
Substitute c for x
[tex]5 - c^2 = c[/tex]
Express as a quadratic function
[tex]c^2 + c - 5 = 0[/tex]
Using a graphing calculator, the values of c are:
c = -2.79 and c = 1.79
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The primary goal of using correlational research is to
Correlational research is used to determine whether there's a relationship between two or more variables without establishing a cause-and-effect connection. It identifies how closely connected variables are by observing them as they naturally occur.
Explanation:The primary goal of using correlational research is to determine whether a relationship exists between two or more variables, but without establishing a cause-and-effect connection. In this method, a researcher may observe variables as they naturally occur with no intervention or manipulation. By examining the degree to which these variables move together, the researcher can identify how closely connected they are. For example, in psychological studies, a correlational research might be used to investigate the relationship between study habits and academic performance. However, it's critical to note that correlation does not imply causation.
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What is 35 divided by 768 plz I am really stuck on this one and need some improvement
The total cost of an item including sales tax is directly proportional to its price. If the total cost of a $25 item is $25.75, what is the total cost on a $60 item?
The total cost of a $60 item including a 3% sales tax, which has been derived from a $25 item that costs $25.75 after tax, is $61.80.
Explanation:
The total cost of an item including sales tax is directly proportional to its price.
This means that the sales tax is a constant ratio to its price.
For a $25 item, the total cost (including sales tax) is $25.75. Therefore, the sales tax is $0.75. The tax rate is consequently $0.75/$25 = 0.03 or 3%. Now, if you want to find the total cost of a $60 item, you will apply this tax rate to the price.Thus, the total cost including tax would be $60 + (3% of $60), or $60 + $1.80 = $61.80.
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14. Simplify (4x^– 4)^– 3.
In the diagram, PN is the perpendicular bisector of AB and is also the angle bisector of
How do you change a ratio into a fraction baseballs to basketballs
is 70 thousand written in standard form or word form