Find the z-scores that delineate the middle 96% of all values from the others. enter your answers to 2 or 3 decimal places. from to
At the corner store, Nico bought 5 pencils for $0.10 each and 3 pens for $0.50 each. He used t to represent the sales tax, in dollars, that he also paid. He paid a total of $2.12, including tax.
Nico wrote this equation to represent what he paid. What errors, if any, did he make?
5(0.10) + 3(0.50) - t = 2.12
He should have multiplied 0.10 by 3 instead of 5.
He should have multiplied 0.50 by 5 instead of 3.
He should have added t instead of subtracting t.
He should have multiplied by t instead of subtracting t.
Answer:
C. He should have added t instead of subtracting t.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
A recipe calls for 1 1/2 cups of flour, 3/4 cup of white sugar, and 1/3 cup of brown sugar. The recipe makes 6 servings.
How many cups of flour are there per serving? Show your work.
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How many total cups of sugar (white and brown) are there per serving? Show your work.
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Suppose you modify the recipe so that it makes 9 servings. How much more flour do you need for the modified recipe than you need for the original recipe? Show your work.
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Answer all 3 questions.
Assume that you select two 3-digit numbers at random from the set of consecutive integers from 000 through 999. The selections are made with replacement and are independent of one another. If the two numbers are the same, you make $700. If they are different, you lose $2. A random variable XX is defined as your gain or loss.
How many different values are possible for the random variable XX
Answer:
the answer is: 2
Step-by-step explanation:
from 000 to 999 makes a total of 1000 numbers from which we are selecting two numbers with replacement. This means that the possible combinations will be double of 1000.
1000 * 1000 = 1000000
to have the same number twice means that the possible combinations will be only 1000. (As there are only 1000 numbers).
But whether they are same or not there will be only two possible values of XX , 2 dollars or 700 dollars which will be the loss or gain for one trial, as the numbers picked will either be same or different.
f(x) = x2 + 5x – 1 is shifted 3 units left. The result is g(x). What is g(x)?
A. g(x) = (x – 3)2 + 5(x – 3) – 1
B. g(x) = x2 + 5x + 2
C. g(x) = (x + 3)2 + 5x – 1
D. g(x) = (x + 3)2 + 5(x + 3) – 1
Answer:
g(x) = (x+3)² + 5(x+3) – 1.
Step-by-step explanation:
Given : f(x) = x² + 5x – 1 is shifted 3 units left.
To find : The result is g(x). What is g(x).
Solution : We have given that
f(x) = x² + 5x – 1 is shifted 3 units left.
By the transformation rule : If f(x) →→ f(x +h) shifted by h unit left .
f(x) = x² + 5x – 1 is shifted 3 units left.
Here , h = 3
Then g(x) = (x+3)² + 5(x+3) – 1.
Therefore, g(x) = (x+3)² + 5(x+3) – 1.
E xex2 + y2 + z2 dv, where e is the portion of the unit ball x2 + y2 + z2 ≤ 1 that lies in the first octant.
The question is asking to evaluate the triple integral of a function over a portion of the unit sphere lying in the first octant. It involves the use of multivariable calculus and spherical coordinates
Explanation:This question is asking to evaluate the triple integral of E xex2 + y2 + z2 dv over the region e, which is the section of the unit sphere x2 + y2 + z2 ≤ 1 within the first octant. Here, dV is the differential volume element, and x, y, and z are the Cartesian coordinates. As the first octant is defined by x ≥ 0, y ≥ 0, and z ≥ 0, we will only need to consider positive values for these variables.
To evaluate the integral, the formula for the volume of the unit sphere in three dimensions x2 + y2 + z2 should be used. Furthermore, as the integral is taken over the first octant, each variable would be bound between 0 and 1.
It is important to note that this is a multivariable calculus problem and involves the concept of integration in spherical coordinates. This topic is typically covered in a college-level calculus course.
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the volume of 10000 drops of liquid is 100 fluid ounces. what is the volume of 10 drops?
Answer:
0.1 fluid ounces
Step-by-step explanation:
If 10000 drops lof liquid is 100 fluid ounces we can determine the drops of liquid per fluid ounces by dividing the two values:
[tex]100/10000=0.01[/tex]
Therefore 0.01 fluid ounces is equivalent to 1 drop. We have our conversion factor now we can determine the volume by multiplying the conversion factor by the number of drops:
[tex]0.01*10=0.1[/tex]
10 drops is 0.1 fluid ounces
What is 0.3 * 1.3 = ?
Please help me!
what is the equation of the line graph shown? (-2,-3), (3, -3)
Owl can clean piglets house in 25 minutes. eeyore can clean piglets house in 40 minutes. how long will it take owl and eeyore to do the job if they work together?
Let us say that the task of cleaning the house is equal to 1 job. Therefore the rates are:
rate of Owl = 1 job / 25 minutes
rate of eeyore = 1 job / 40 minutes
So working together, the time is:
(1 / 25) + (1 / 40) = 1 / t
0.065 = 1 / t
t = 15.38 minutes
So it takes about 15.38 minutes working together.
Choose the equation that represents the graph below: Graph of a line passing through points 0 comma 4 and 3 comma 0 y = −three fourthsx + 4 y = −four thirdsx + 4 y = three fourthsx − 4 y = 4 thirdsx − 4
Break apart and distribute to solve 56/8
Given a normal distribution with mu equals 100μ=100 and sigma equals 10 commaσ=10, complete parts (a) through (d). loading... click here to view page 1 of the cumulative standardized normal distribution table. loading... click here to view page 2 of the cumulative standardized normal distribution table.
a. what is the probability that upper x greater than 85x>85? the probability that upper x greater than 85x>85 is nothing.
I believe the parts are:
A. What is the probability that Upper X greater than 95X>95?
B. What is the probability that Upper X less than 75X<75?
C.What is the probability that Upper X less than 85X<85 and Upper X greater than 125X>125?
D. 95% of the values are between what two X-values (symmetrically distributed around the mean)?
Solution:
We use the equation for z score:
z = (X – μ) / σ
Then use the standard normal probability tables to locate for the value of P at indicated z score value.
A. Z = (95 – 100) / 10 = - 0.5
Using the tables, the probability at z = -0.5 using right tailed test is:
P = 0.6915
B. Z = (75 – 100) / 10 = - 2.5
Using the tables, the probability at z = -2.5 using left tailed test is:
P = 0.0062
C. Z = (85 – 100) / 10 = - 1.5
Using the tables, the probability at z = -2.5 using left tailed test is:
P = 0.0668
Z = (125 – 100) / 10 = 2.5
Using the tables, the probability at z = 2.5 using right tailed test is:
P = 0.0062
So the probability that 85<X and X>125 is:
P(total) = 0.0668 + 0.0062
P(total) = 0.073
D. P(left) = 0.025, Z = -1.96
P(right) = 0.975, Z = 1.96
The X’s are calculated using the formula:
X = σz + μ
At Z = -1.96
X = 10 (-1.96) + 100 = 80.4
At Z = 1.96
X = 10 (1.96) + 100 = 119.6
So 95% of the values are between 80.4 and 119.6 (80.4< X <119.6).
Which of the following expressions is in simplified form?
1n + 2.9n
4w - 5
-2 + 1.4m + 0.5
9j - 3 - j
For homework, a student had to complete 54 problems total. If she finished 9 problems in class, what is the ratio of problems she still needs to complete the problems that she already finished?
Answer:
29
Step-by-step explanation:
Tuiton at a certain college recently increased from $4000 to $5000. Find the ratio of the increase in price to the original price.
A music school has budgeted to purchase 3 musical instruments. they plan to purchase a piano costing $4,000, a guitar costing $600, and a drum set costing $750. the mean cost for a piano is $5,000 with a standard deviation of $2,000. the mean cost for a guitar is $550 with a standard deviation of $250. the mean cost for drums is $950 with a standard deviation of $100. (enter your answers to two decimal places.) how many standard deviations above or below the average piano cost is the piano
To solve this, we can use the z statistic. The formula for z score is given as:
z = (x – u) / s
where x is the actual cost = 4000, u is the mean cost = 5000, and s is the standard deviation = 2000
Solving for z:
z = (4000 – 5000) / 2000
z = - 0.5
Therefore the piano cost is only 0.5 standard deviations below the average cost.
What is 200 times 180
Answer:
36000
Step-by-step explanation:
If you multiply 200x180 it equals 36000
A way you can find this out is by writing it down
200
x
180
________
36000
3/4xy What are the factors of the expression?
The factors of the given expressions are [tex]\dfrac{3}{4},x,y[/tex].
Given:
The given expression is [tex]\dfrac{3}{4}xy[/tex].
To find:
The factors of the given expression.
Explanation:
Factors of an expression are the terms or expressions whose product is equal to that expression.
We have,
[tex]\dfrac{3}{4}xy[/tex]
Therefore, the factors of the given expressions are [tex]\dfrac{3}{4},x,y[/tex].
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A line has a slope of -2/3 and a y-intercept of (0, 3). What is the value of y when x = 4?
brainleiest!!! What is the unit rate for 4543.08 km in 52.4 h? Enter your answer, as a decimal, in the box. km/h
Answer:
86.7
Step-by-step explanation:
you divide 4543.08 by 52.4
An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people below. One buckets dumps water every 18 min. The other buckets dumps water every 21min. It is currently 1:15 p.m. and both buckets dumped water 5 minutes ago. Find the next two times that both buckets dump water at the same time
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2l + 2w = 16, where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle?
Joe wants to saw a wooden plank into 3/4 meter prices the lenght of the wooden plank is 3 3/4 meter how many 3/4 meter prices pieces can joe saw from the wooden plank
How many proper subsets are there for each set? {a,b,c}
find the measure of each marked angle (2x-21) and (x+3)
Since the ratios for sides of triangles are the same, when the angles are the same, ? have been developed which show these ratios for every angle encountered in a triangle. select one:
a. cos tables
b. sin tables
c. tan tables
d. trigonometric tables
Answer: d. trigonometric tables
Step-by-step explanation:
A trigonometric table would provide all of the ratios of the sides in respect to the angles. Sin, cos, and tan are parts of trigonometric table.
Trigonometry table, tabulated values for some or all of the six trigonometric functions for various angular values.
Since the ratios for sides of triangles are the same, when the angles are the same, trigonometric tables have been developed which show these ratios for every angle encountered in a triangle.
what is scatterplot ?
A scatter plot is a graph in which the data is plotted on a coordinate grid. The horizontal axis will be the x-axis and the vertical axis will be the y-axis.
Suppose bob uses the rsa cryptosystem with a very large modulus n for which the factorization cannot be found in a reasonable amount of time. suppose alice sends a message to bob by representing each alphabetic character as an integer between 0 and 25 (a s 0, . . . , z s 25), and then encrypting each number separately using rsa with large e and large n. is this method secure? if not, describe the most efficient attack against this encryption method.
The answer is this method is not secure but a frequency attack can be applied. Knowing the public key in this case is, nonetheless, adequate for an attacker to calculate a table, on behalf of one-to-one communication between the plaintext and the cipher text. Computed table allows him/her to decrypt any ciphertext, encoded using RSA Cryptosystem in such a means.
Encrypting each character separately in RSA is insecure due to the limited set of characters and can be compromised by frequency analysis. RSA's security typically relies on the difficulty of factorizing large numbers, but with only 26 character possibilities, patterns can emerge that allow decryption.
When Alice sends a message to Bob using the RSA cryptosystem, each alphabetic character is represented as an integer between 0 and 25 and then encrypted using RSA with a large exponent e and a large modulus n. Although this method uses a robust encryption algorithm, encrypting each character separately can be insecure due to the limited number of possible characters (26 in this case). An efficient attack against this method is a frequency analysis attack, where the attacker could exploit the fact that some letters appear more frequently in a language than others. The attacker could potentially guess the encrypted values of these common characters and use patterns to decrypt the rest of the message.
RSA encryption is one of the oldest and widely used public key encryption algorithms and relies on the difficulty of factoring very large numbers. This difficulty provides the security in RSA; however, when the encryption is done on a small set of possibilities—as is the case with single alphabetic characters—the security can be compromised, making RSA vulnerable in such a scenario.
You have a well-shuffled 52-card deck. on average, how many pairs of adjacent cards are there such that both cards are red?
The average number of pairs of adjacent cards in a well-shuffled 52-card deck that are both red is about 12 or 13 pairs. This is calculated based on the probability of drawing red cards.
Explanation:In a well-shuffled 52-card deck, there are 26 red cards out of the total 52 cards. Thus, the probability of drawing a red card is 26/52 = 0.5.
Now, let's consider two neighboring cards as an ordered pair. There are 51 such pairs in a 52-card deck. We are looking for pairs where both cards are red. The probability that the first card of any given pair is red is 0.5, as already noted. The probability that the next card (in that pair) is also red, assuming the first one is red, is now 25/51 (since one red card is assumed as taken already).
Thus, the probability that a given pair of adjacent cards are both red is 0.5 * (25/51) = 25/102 ≈ 0.245.
Given that we have 51 possible pairs, the expected number of red pairs is 51 * (probability of red pair) which equals about 12.48.
Therefore, on average, you can expect about 12 or 13 pairs of adjacent cards to be both red.
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