Find the value of each shape so that they will add up to give you the specified sums in each row and each column.


How does this solving problem relate to system of equations?

Answer:

[tex]-\sqrt{2} + \sqrt{2}i[/tex]

Step-by-step explanation:

Angle of 9pi/4

The equivalent angle of [tex]\frac{9\pi}{4}[/tex], on the first lap, is found subtracting this angle from [tex]2\pi[/tex]. Thus:

[tex]\frac{9\pi}{4} - 2\pi = \frac{9\pi}{4} - \frac{8\pi}{4} = \frac{\pi}{4}[/tex]

Thus, the sine and cosine are:

[tex]\sin{(\frac{9\pi}{4})} = \sin{(\frac{\pi}{4})} = \frac{\sqrt{2}}{2}[/tex]

[tex]\cos{(\frac{9\pi}{4})} = \cos{(\frac{\pi}{4})} = \frac{\sqrt{2}}{2}[/tex]

Angle of 3pi/2

On the first lap of the circle, thus no need to find the equivalent angle. We have that:

[tex]\sin{(\frac{3\pi}{2})} = -1, \cos{(\frac{3\pi}{2})} = 0[/tex]

Expression:

[tex]4(\cos{(\frac{9\pi}{4})} + i\sin{(\frac{9\pi}{4})}) \div 2(\cos{(\frac{3\pi}{2})} + i\sin{(\frac{3\pi}{2})})[/tex]

[tex]4(\frac{\sqrt{2}}{2} + i\frac{\sqrt{2}}{2}) \div 2(0 - i)[/tex]

[tex]\frac{2\sqrt{2} + 2\sqrt{2}i}{-2i} \times \frac{i}{i}[/tex]

Considering that [tex]i^2 = -1[/tex]

[tex]\frac{-2\sqrt{2}+2\sqrt{2}i}{2}[/tex]

[tex]-\sqrt{2} + \sqrt{2}i[/tex]

Answer:

The covariance between the variables is 21.10 and the Correlation coefficient is 0.9285.

Step-by-step explanation:

Hence,

Answer:

650

Step-by-step explanation:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

3684

Answer:

C

Step-by-step explanation:

Diameter is 12.

Radius is 6

Center is (3,6)

Answer:

no, in a normal distribution mode=median=mean. So while in theory, the median and the mean can be the same, the mode is not.

Step-by-step explanation:

Based on the maximum possible score, the scores by the student, and the deviation, we cannot say that the test scores are normally distributed.

In a normal distribution, the mean, mode and median have to be equal thanks to the bell-shaped nature of the distribution.

In this case, the median will be the score of the single student who is 10 points off the mean.

The mean will be affected by the extreme values of zero and a perfect score, and the mode will either be zero or 100.

The mean, mode, and median are therefore not the same so this isn't a normal distribution.

Find out more on normal distributions at https://brainly.com/question/23418254.

#SPJ9

Answer:

ディーズナッツ

Step-by-step explanation:

Answer:

a) p = 0.5.

b) s = 0.025.

c) 0.7257 = 72.57% probability that there will be 48.5% or more individuals with IQ scores over 100 in a random sample of 400.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

It is known that 50% of the general population has an IQ score exceeding 100. Sample of 400.

This means that [tex]n = 400, p = 0.5, s = \sqrt{\frac{0.5*0.5}{400}} = 0.025[/tex]

(a) Find the mean of p, where p is the proportion of people with IQ scores over 100 in a random sample of 400 people

By the Central Limit Theorem, p = 0.5.

(b) Find the standard deviation of p.

By the Central Limit Theorem, s = 0.025.

(c) Compute an approximation for P(p is greater than or equal to 0.485), which is the probability that there will be 48.5% or more individuals with IQ scores over 100 in a random sample of 400.

This is 1 subtracted by the p-value of Z when X = 0.485. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.485 - 0.5}{0.025}[/tex]

[tex]Z = -0.6[/tex]

[tex]Z = -0.6[/tex] has a p-value of 0.2743.

1 - 0.2743 = 0.7257.

0.7257 = 72.57% probability that there will be 48.5% or more individuals with IQ scores over 100 in a random sample of 400.

Answer:3

The lines that are parallel have the same slope. For the line y=3x + 5, slope = 3, so, for parallel line slope also will be equal 3

Step-by-step explanation:

The surface area is 150.5 in

Answer:

The surface area of this rectangular prism is 150.5 [tex]inches^{2}[/tex].

Step-by-step explanation:

The formula for finding the surface area of a rectangular prism is this :

A=2(wl + hl + hw)

l = 3.5, w = 9, h = 3.5

Now we substitute those values in and solve for A.

A = 2 · ( 9 · 3.5 + 3.5 · 3.5 + 3.5 ·9) = 150.5

The surface area of this rectangular prism is 150.5 [tex]inches^{2}[/tex].

Hope this helps, please mark brainliest. Have a great day!

Answer:

5

Step-by-step explanation:

(3 + 4i) + (2 - 3i) = 3 + 4i + 2 - 3i = 5 + i

distance between (5 + i) and (9 - 2i) is the difference between them. and difference means subtraction.

(9 - 2i) - (5 + i) = 9 - 2i - 5 - i = 4 - 3i

and since we are looking for a distance, we are looking for the absolute value of that subtraction.

after all, we could have done the subtraction also in the other direction

(5 + i) - (9 - 2i) = -4 + 3i

and this must be the same distance.

|(-4 + 3i)| = |(4 - 3i)|

and that is done by calculating the distance of any of these 2 points from (0,0) on the coordinate grid of complex numbers.

|(a +bi)| = sqrt(a² + b²)

in our case here

distance = sqrt(4² + (-3)²) = sqrt(16 + 9) = sqrt(25) = 5

as you can easily see, this is (as expected) the same for the result of the subtraction in the other direction :

sqrt((-4)² + 3²) = sqrt(16+9) = sqrt(25) = 5

Answer:

[tex]Area = 130977cm^2[/tex]

Step-by-step explanation:

Given

[tex]W=840[/tex]

[tex]U = 350[/tex]

[tex]\angle V = 63^o[/tex]

Required

The area

The area is calculated as:

[tex]Area = \frac{1}{2}UW\sin(V)[/tex]

So, we have:

[tex]Area = \frac{1}{2}*350*840*\sin(63^o)[/tex]

[tex]Area = \frac{1}{2}*350*840*0.8910[/tex]

[tex]Area = 130977cm^2[/tex]

Answer:

we add 49

Step-by-step explanation:

the answer is in the above image

Answer:

26

Step-by-step explanation:

F + V = E + 2

Where,

F = number of faces = 16

V = number of vertices = 12

E = number of edges = ?

F + V = E + 2

16 + 12 = E + 2

28 = E + 2

28 - 2 = E

26 = E

E = 26

E = number of edges = 26

Answer:

b) What is the probability that 35 cars chosen at random will have a mean load weight of less than 49.5 tons of coal? (Round your answer to four decimal places.)

Step-by-step explanation:

Answer: I don't know the exact details but Egypt is home to some of the world's most famous tombs, among them the monumental pyramids. Egyptians built rectangular benches over graves during the fourth dynasty, which was known as the Masabas period. During this time period, pyramids were constructed by stacking square or rectangular tombs on top of one another.

Step-by-step explanation:

Answer:

1.4

Step-by-step explanation:

= [(4 x 2) + (2 x 3)] ÷ 2 x 5

= [8 + 6] / 10

= 14 / 10

= 1.4

3-digit number is abc. ( just call it)

abc= 9d + 3, meaning abc = 3e

abc = 2k + 1, meaning abc is an odd number

abc = 5t + 4, meaning c = 9 ( because abc is an odd number so c can not be 4)

so a+b must be equal 3.

abc can be 309, 219, 129

Answer:

r = 8%

Step-by-step explanation:

Given that,

Interest, I = $24

Principal, P = $1200

Time, t = 90 days = 90/360 = 1/4 years

We need to find the rate.

We know that,

The simple interest is given by :

[tex]I=\dfrac{Prt}{100}[/tex]

Put all the values,

[tex]r=\dfrac{100I}{Pt}\\\\r=\dfrac{100\times 24}{1200\times \dfrac{1}{4}}\\\\r=8\%[/tex]

So, the rate is 8%.

Answer:

0.425

0.5

Step-by-step explanation:

Given :

Outcome 0 1 2 3 4 5 6 7 8 9

Number of Trials 4 2 5 3 2 6 6 3 6 3

The experimental probability of obtaining an odd number :

Odd outcomes are : 1, 3, 5, 7, 9

Total number of trials = Σ(4 2 5 3 2 6 6 3 6 3) = 40

Total number of odd outcomes = (2+3+6+3+3) = 17

Experimental probability = number of prefferwd outcomes / total number of trials

Experimental P(odd). = 17 / 40 = 0.425

The theoretical probability of getting an odd number :

Required outcome / Total possible outcomes

Number of odd values / total number of values

5 / 10 = 1/2

Answer:

0.510

0.500

Step-by-step explanation:

part c) = A

name me brainiest

Given:

Leila is arranging 11 cans of food in a row on a shelf. She has 4 cans of corn, 1 can of peas, and 6 cans of beets.

To find:

The distinct orders can the cans be arranged if two cans of the same food are considered identical.

Solution:

Total number of cans = 11

Cans of corn = 4

Cans of Peas = 1

Cans of beets = 6

We need to find divide total possible arrangements (11!) by the repeating arrangements (1!, 4!, 6!) to find the distinct orders can the cans be arranged if two cans of the same food are considered identical.

[tex]\text{Distinct order}=\dfrac{11!}{1!4!6!}[/tex]

[tex]\text{Distinct order}=\dfrac{11\times 10\times 9\times 8\times 7\times 6!}{1\times (4\times 3\times 2\times 1)\times 6!}[/tex]

[tex]\text{Distinct order}=\dfrac{55440}{24}[/tex]

[tex]\text{Distinct order}=2310[/tex]

Therefore, the total number of distinct orders is 2310.

9514 1404 393

Answer:

  13120

Step-by-step explanation:

The sum of terms of a geometric series is ...

  Sn = a1·(r^n -1)/(r -1)

You have n=8, a1=4, r=3, so the sum is ...

  S8 = 4·(3^8 -1)/(3 -1) = 2(3^8 -1) = 13,120

Answer:

Step-by-step explanation:

hope it helps u too

Answer:

33

Step-by-step explanation:

Pls vote my answer as brainliest

Answer:

33

Step-by-step explanation:

Answer:

Rs. 42000

Step-by-step explanation:

Let us assume that Mr. Ahmed bought the bicycle for Rs. x, and sold it for Rs. y to Mr. Saad. Since he made a loss of 28%, hence:

y = x - 0.28x = 0.72x

Mr. Saad spent Rs.1680 on its repairs, therefore the total cost price of the motorcycle = 0.72x + 1680

He then sold it for Rs.35910 making a profit of 12.5%. Therefore:

0.72x + 1680 + [0.125(0.72x + 1680)] = 35910

0.81x + 1890 = 35910

0.81x = 34020

x = Rs. 42000

Therefore the cost price of the motorcycle for Mr. Ahmed is Rs. 42000

Answer:

Step-by-step explanation:

Answer:

1.894

3.169

2.064

3.690

Step-by-step explanation:

A.) 90% ; sample size = 8

Degree of freedom, df = n - 1

t(1 - α/2, 7) = t0.05, 7 = 1.894

B.) 99% ; sample size = 11

Degree of freedom, df = n - 1

t(1 - α/2, 10) = t0.005, 10 = 3.169

C.) 95% ; sample size = 25

Degree of freedom, df = n - 1

t(1 - α/2, 24) = t0.025,24 = 2.064

(D.) 99.5% and sample size 10.

Degree of freedom, df = n - 1

t(1 - α/2, 9) = t0.0025,9 = 3.690

Answer:

(x - 8y + z)(x - 2y - z)

Step-by-step explanation:

Factorize :

x²-10xy + 16y²-z² + 6yz​

Solution:

x²-10xy + 16y²-z² + 6yz​

Firstly, make sure that all the terms are arranged in a well ordered manner:

x²-10xy + 16y²-z² + 6yz​

Secondly, split the term (16y²) common to both equation:

(x²-10xy + 25y²) - 9y² -z² + 6yz​

Thirdly, factorize both terms:

(x - 5y)² - 1(z² - 6yz + 9y²)

Factorizing the second term:

(x - 5y)² - (z - 3y)²

Using the difference of two squares, that is A² - B² = (A + B)(A - B):

(x - 5y)² - (z - 3y)² = [(x - 5y) + (z - 3y)][(x - 5y) - (z - 3y)]

= [x - 5y + z - 3y][x - 5y - z + 3y]

= (x - 8y + z)(x - 2y - z)

Answer:

x ∈ (-2,−∞)

Step-by-step explanation:

x ∈ (-2,−∞)

this is the answer to the question