The weight of 10,000 identical samples of a substance is 10 pounds. What is the weight of 100 samples?

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.

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.

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

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

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.

https://brainly.com/question/31657068

#SPJ3

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.

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.

https://brainly.com/question/32006589

#SPJ12

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.

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

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.

No Euclidean triangles can have angles that sum to more than 180°, so there are zero triangles with the given measures in Euclidean space; however, exactly one right-angled spherical triangle with these angles exists on a curved surface like a sphere.

The question asks how many triangles exist with the given angle measures of 55°, 45°, and 90°. In Euclidean geometry, the sum of the interior angles of a triangle must equal exactly 180°. Since 55° + 45° + 90° = 190°, which is greater than 180°, no Euclidean triangle can have those angle measures. Therefore, there are zero triangles that can exist with the given angle measures in a flat, two-dimensional Euclidean space.

However, in the context of spherical geometry, triangles can have angles that sum to more than 180°. The provided angles actually describe a right-angled spherical triangle, of which exactly one exists with these measures. This is because on a spherical surface, the sum of the angles of a triangle can be greater than 180° due to the curvature of the space.

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.

Answer:

29

Step-by-step explanation:

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).

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].

Learn more:

https://brainly.com/question/15814437

Answer:

C. He should have added t instead of subtracting t.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

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.

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.