which of the following changes represents a percent decrease?

a) 10 gallons to 24 gallons
b) 24 songs to 78 songs
c) 72 paper clips to 63 paper clips
d) 12 inches to 36 inches​

Answer:

1. -2/3   (-0.66666)

2. 45%  (-0.45)

3. 5.1%  (0.051)

4. 0.053 (0.053)

Step-by-step explanation:

Hope this helped!

Answer:

The dimensions of the rectangle are length = 22 meters and width = 13 meters.

Step-by-step explanation:

It is given that the length of a rectangle is 4 meters less than twice the width and if the area of the rectangle is 286 square meters we need to calculate the dimensions.

Firstly, let us look at the dimensions of the rectangle;

=> Let 'l' be the length and 'b' be the width of the rectangle.

Now, let us look at the area of a rectangle;

=> l × b

So, we get an equation from the above condition;

=> l = 2b - 4

Now, the area of the rectangle is given that is 286 square​ meters;

=> A = 286 sq. m.

Using the above-mentioned formula for the area of the rectangle we get;

=> A = l × b

=> 286 = (2b - 4) × b

=> 286 = 2b² - 4b

=> 2b² - 4b - 286 = 0

After solving it further we get;

=> 2b² - 4b - 286 = 0

=> b² - 2b - 143 = 0

=> b² - 13b + 11b - 143 = 0

=> (b - 13) + (b + 11) = 0

Now, after equating both the sides we get;

=> (b - 13) = 0

=> b = 13

and

=> (b + 11) = 0

=> b = -11

But, b = -11 is not possible so, the width of the rectangle is 13 meters.

And the length of the rectangle would be,

=> l = 2b - 4

=> l = 2 × 13 - 4

=> l = 22

Therefore, the dimensions of the rectangle are length = 22 meters and width = 13 meters.

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Answer:

Step-by-step explanation:

We know the diagonals of a parallelogram bisect each other.

If O is the point of intersection of diagonals, AC is split into AO and OC.

Since AO = OC, the length of AC is:

Answer: B

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Answer:

d) no because they are skew

Step-by-step explanation:

e2020

Answer:

It's D

Step-by-step explanation:

A and D are both in different planes, skew lines are line that will never intersect because they are noncoplanar, meaning they are never in  the same plane. If they aren't in the same plane, they can't intersect.

The probability that a randomly selected group of 16 individuals from the campus will be selected is 0.8023 or 80.23%

Based on the sign in the elevator of the college library, the limit of 16 persons and weight limit of 2,500 pounds need to be adhered to. To ensure compliance with both limits, we need to consider both the number of people and their weight.

Assuming that the distribution of weights of individuals on campus is approximately normal with an average weight of 155 pounds and a standard deviation of 29 pounds, we can use this information to estimate the total weight of a group of 16 randomly selected individuals.

The total weight of a group of 16 individuals can be estimated as follows:

Total weight = 16 x average weight = 16 x 155 = 2480 pounds

To determine if this total weight is within the weight limit of 2,500 pounds, we need to consider the variability in the weights of the individuals. We can do this by calculating the standard deviation of the total weight using the following formula:

Standard deviation of total weight = square root of (n x variance)

where n is the sample size (16) and variance is the square of the standard deviation (29 squared).

Standard deviation of total weight = square root of (16 x 29^2) = 232.74

Using this standard deviation, we can calculate the probability that the total weight of the group of 16 individuals is less than or equal to the weight limit of 2,500 pounds:

Z-score = (2,500 - 2,480) / 232.74 = 0.86

Using a standard normal distribution table or calculator, we can find that the probability of a Z-score less than or equal to 0.86 is approximately 0.8023.

Therefore, the probability that a randomly selected group of 16 individuals from the campus will comply with both the number and weight limits in the elevator of the college library is approximately 0.8023 or 80.23%.

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Answer:

The answer is c

Hope this helped :)

Answer:

C-7/8

R-8/9

P-61/66

L-11/18

I-3/4

A-7/12

O-47/55

H-29/40

S-28/33

T-4/5

M-11/12

E-71/84

U-13/42

N-19/20

I swear to god if I don’t get brainliest I’m going to lose it I haven’t done this math in like four years and it kinda took a while.... but I hope it helped u ☺️☺️☺️❤️❤️❤️❤️

Step-by-step explanation:

Answer:

I-9/12 or 3/4

T- 8/10 or 4/5

C- 7/8

A- 7/12

M- 11/12

R- 7/9

O- 36/55

E- 71/84

P- 61/66

H- 29/40

U- 13/42

L- 11/18

S- 28/33

N- 19/20

Step-by-step explanation:

if any are wrong, just lmk and i'll see what I did. But, i'm pretty sure they're right

Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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Answer:

Yes

Step-by-step explanation:

17/5 is equal to 3 2/5 which is equal to 3 4/10 which is equal to 3.4 and 3.4 is a rational number so the answer is yes

Answer:

Yes

Step-by-step explanation:

17/5 = 3.4

A rational number is either a repeating decimal or a terminating decimal.

3.4 is a terminating decimal.

Therefore it is a rational number.

Hope I helped :)

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Answer:

3⁸ or 6561

Step-by-step explanation:

First, let's look at PEMDAS - Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

There are no parentheses, so let's solve the exponents.

3² • 9³

3² = 9

9³ = 729

Your expression is:

9 • 729

Now let's multiply.

= 6561

This number can also be expressed with exponents.

Since 9 = 3², 9³ = 3²⁽³⁾

Now your expression is:

3² • 3²⁽³⁾

First, solve the exponents by multiplying.

3² • 3⁶

When you multiply two expressions with exponents that have the same base (3), you add the exponents.

3² • 3⁶ = 3⁽²⁺⁶⁾ = 3⁸

3⁸ also equals  6561.

Your answer is 3⁸ or 6561.

Hope this helps!

Answer:

if ∠Q=∠R

draw an angular bisector from P to QR in which it intersect wit Qr at point S

now we have two triangle : QPS and RSP

in which angle : QPS=RPS ( PS is angular bisector)

and we have angle Q and angle R are equal

and PS is common side

this makes triangle QPS and RSP are congruent by AAS(angle angle side)

which also means that pQ=PR ( proved)

Using the P-value method of testing hypotheses with a significance level of 0.05, the sample provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

To test the claim that the mean score of job applicants from the university is greater than 160, we will perform a one-sample t-test using the P-value method. The null hypothesis (H0) assumes that the mean score is equal to 160, while the alternative hypothesis (Ha) assumes that the mean score is greater than 160.

First, we calculate the test statistic, which is the t-value. The formula for the t-value is:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Plugging in the given values, we have:

t = (183 - 160) / (12 /   √(25))

  = 23 / (12 / 5)

  = 23 * (5 / 12)

  ≈ 9.58

Next, we find the P-value associated with the test statistic. The P-value represents the probability of obtaining a test statistic as extreme as the observed value, assuming the null hypothesis is true. Since the alternative hypothesis is one-sided (greater than 160), we calculate the P-value by finding the probability of the t-distribution with 24 degrees of freedom being greater than the calculated t-value.

Consulting statistical tables or using software, we find that the P-value is very small (less than 0.0001).

Since the P-value (less than 0.0001) is less than the significance level (0.05), we reject the null hypothesis. This provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

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Answer: Why is the basic math question is here? But the answer is 49, don’t put the basic expression next time!

Step-by-step explanation:

Answer: this is 2 grade stuff but ok... 49

Answer:

D

Step-by-step explanation:

we have to see the value of y on x=-2

which is 2

so g(-2)=2

Answer:

I think option no B

hope it will help you

7686:9=854

(7200+486):9=(800 + 54)

Two consecutive whole numbers representing the estimated square root of 50 are 7 and 8.

Number need to estimate square root  = 50

To estimate √50,

Neal found that the two perfect squares nearest 50 are 49 and 64.

Since 50 is closer to 49 than to 64,

Square root of 49 is equal to 7

Square root of 64 is equal to 8.

We know that √50 is closer to the square root of 49 which is 7.

Estimated two consecutive whole numbers are 7 and 8.

Therefore, estimated √50 is between the two consecutive whole numbers 7 and 8.

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The above question is incomplete, the complete question is:

Neal estimated √50 by determining that the two perfect squares nearest 50 are 49 and 64. Select the two consecutive whole numbers that the √50 is between to complete the sentence.

The probability that they win the coin toss in exactly 10 of their 16 games.

What is the probability?

Probability is a mathematical concept that deals with the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain to occur. The probability of an event A, denoted as P(A), is calculated as the number of favorable outcomes divided by the number of possible outcomes.

P(getting heads on one toss) =  1 / 2 because the coin is unbiased.

So P(getting all heads in 10 tosses).

= \((1/2)^{10}\)

=  1/ 1024

= .0009765

Hence, the probability that they win the coin toss in exactly 10 of their 16 games.

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No, the given data set is not a time series because it does not show changes or trends over time.

The data is grouped according to different educational levels and does not reflect any chronological progression. A time series data set is defined as a set of data points that are collected at regular intervals over a period of time.

The data set should reflect changes in a particular variable or set of variables over time.

Therefore, in order to be considered a time series, the data should be arranged in chronological order and represent changes over time, rather than grouped by different categories or variables.

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Answer:

Step-by-step explanation:

7. Hours                    Money earned

       4                             34

        8                             68

        10                            85

         14                            119

8. Seconds                     yards

          1                              9

          3                             27

           6                             54

            10                            90

9.    Minutes                          Cost

             5                              $1.50

            12                              $3.60

            24                              $7.20

             30                              $9.00

Let's find each side first

Using the distance formula

B(-2,-4), C(3, 3),

C(3, 3), D(-2, 3)

D(-2, 3) B(-2,-4)

Now, to find the angles, use the cosine formula

BD = c = 7

BC = d = 8.6

CD = b =5

Using the formula;

substitute the values into the formula and evaluate

Take the cos ⁻ ' of both-side

To find angle C, we will use the cosine formula

substitute the values and evaluate

Take the cos ⁻ ' of both-side

To find the third side

B + C + D = 180° (sum of angle in a triangle)

36 + 54 + D = 180°

90 + D = 180°

D = 180° - 90°

D = 90°

The length of the bracket after 1 iteration is 100%.

Let  f(x) = x³-15x² + 50x

a = 0, b=10.

Let the golden ratio be  

GR=√5-1 / 2=0.618

Now, d = GR (b-a)

= 0.618 (10-0) = 6·18

\(x_{1}\)= a+d = 0 + 6·18 = 6.18

\(x_{2}\) = b-d = 10- 6·18 = 3.82

f(\(x_{1}\)) = (6·18)³ - 15 (6·18)² + 50(6·18) = -27.887  

f(\(x_{2}\)) = (3.82)³-15(3.82)²+50(3.82)=27.857

so, f(\(x_{2}\)) > f(\(x_{1}\)) new interval is [a,x,]

i.e., maximum lies in [0, 6·18]

so, Xmax = \(x_{2}\)= 382

Uncertainty in measurement will be,

∈= \(\frac{1-GR) (b-a)}{Xopt}\) =\(\frac{((1-0.618) X (10-0)}{382}\) × 100%

∈ = 100%

In arithmetic, quantities are within the golden ratio if their ratio is the same as the ratio in their sum to the larger of the 2 portions. Expressed algebraically, for quantities a and b with \(a > b > 0\), \(\frac{(a+b)}{a}\) = \(\frac{a}{b}\)= φ

The golden ratio turned into known as the acute and suggest ratio by way of Euclid, and the divine proportion using Luca Pacioli, and also is going through numerous other names. The golden ratio seems in some patterns in nature, such as the spiral association of leaves and different elements of plants.

A few twentieth-century artists and architects, together with Le Corbusier and Salvador Dalí, have proportioned their works to approximate the golden ratio, believing them to be aesthetically appealing. these uses often appear in the form of a golden rectangle.

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Answer:

6

Step-by-step explanation:

first we do 90-11.65=78.35

then we need to find out how much money she can spend

so you do 78.35-56=22.35

so she can spend a total of 22.35 on her comic books

now you need to find out how much books she can buy with the 22.35 that she has

so the equation would be 22.35÷3.72=6

she can buy 6 comics total

Answer:

A.) n >- 6

Step-by-step explanation:

im doin tha test but im  90% sure dat is  A

PLS CHECK

z = \(\frac{13}{20}+\frac{19}{20}i\) is in the form z = a+ ib, where a = 13/20 and b = 19/20

Exact value of |z| = 1.151

Argument of z = 55.6197

Consider the complex number z = (2+7i)/(6+2i)

6a. Here z is in a rational form and we need to simplify it to represent it in the form a+ ib.

Multiplying and dividing the conjugate of the denominator to z, we get,

z = \(\frac{2+7i}{6+2i} \times \frac{6-2i}{6-2i}\)

⇒ z = \(\frac{12 +38i +14}{6^2+2^2}\)

⇒ z = \(\frac{26+38i}{40}\)

⇒ z = \(\frac{13}{20}+\frac{19}{20}i\)

is in the form z = a+ ib, where a = 13/20 and b = 19/20

6b.modulus of z = |z| = √(a²+b²)

                                  = \(\sqrt{\frac{13^2}{20^2} +\frac{19^2}{20^2} }\)

                                  = \(\sqrt{\frac{530}{400}}\)

                                  = √(53/40)

                                  = 1.151

6c. Argument of z = tan⁻¹(b/a)

                              = tan⁻¹((19/20)/(13/20))

                              = tan⁻¹(19/13)

                              = 55.6197

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Answer:

Well, at least you improved.  But maybe you should use another source besides brainly for your tests.  Sometimes people put the wrong answers just to get points.

I hope you do better next time!  Good luck!!

The samples of size n = 2 that can be drawn from this population is 28

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

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

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Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Volumes.

Volume of cuboid= L*B*H

here, L=B=20cm and H=10cm

hence , we get as,

Volume = 20*20*10 => Volume = 4000 cubic cm.

hence the volume is ===> 4000 cm^3.

Answer:

$2.49p = c

Step-by-step explanation:

sorry if wrong

Answer:

c=2.49p

Step-by-step explanation:

Answer:

e

Step-by-step explanation:

When using substitution to solve systems of equations that have no solution or indefinitely many solutions, the variable terms are the same on both sides. How is the solution determined by the constants in the equations?

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