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Umnica [9.8K]
3 years ago
6

5 x : 9 = 7 : 3 Calculate the value of x .

Mathematics
1 answer:
tia_tia [17]3 years ago
6 0

Answer:

x=21/5, also known as 4.2

Step-by-step explanation:

5x:9 = 7:3

Solve it like a proportion and get any of these answers

5x/9 = 7/3

cross product property

3(5x) = 63

15x = 63

x = 63/15 = 21/5 in fraction form = 4.2 in decimal form

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Determine whether the study depicts an observational study or a designed experiment. A poll is conducted in which 574 high schoo
Anna35 [415]

Answer:  observational study

Step-by-step explanation:

Observational study : A study in which an observer analyse one or more characteristics of a population (depends on the objective of the study) by just observing the individuals in a sample of the population, but he / she never  influence the variables of interest.

Design experiment : In this experimenter design an experiment with a series of tests to check the change in the dependent variable. Here , the experimenter influences the variables of interest.

Given : A poll is conducted in which 574 high school students are asked about how often they listened to music during the past week.

here , the poll is just observing the interest of students instead of influencing them.

Hence, the study depicts an observational study.

4 0
4 years ago
A bag contains 12 discs
trasher [3.6K]

Answer:

If they are both red, 7/22

If both blue, 1/22

Yellow, 1/66

Step-by-step explanation:

7/12 times 6/11 (both decrease by one because there is no replacement)

3/12 times 2/11

2/12 times 1/11

8 0
3 years ago
Consider the matrix
DaniilM [7]

\mathbf A=\begin{bmatrix}4&0&0\\1&3&0\\-4&5&-1\end{bmatrix}


The characteristic polynomial is given by \det(\mathbf A-\lambda\mathbf I):


\mathbf A-\lambda\mathbf I=\begin{bmatrix}4-\lambda&0&0\\1&3-\lambda&0\\-4&5&-1-\lambda\end{bmatrix}


Compute the determinant by Laplace expansion along the first row:


\det(\mathbf A-\lambda\mathbf I)=(4-\lambda)\begin{vmatrix}3-\lambda&0\\5&-1-\lambda\end{vmatrix}=(4-\lambda)(3-\lambda)(-1-\lambda)


\implies\det(\mathbf A-\lambda\mathbf I)=-\lambda^3+6\lambda^2-5\lambda-12

6 0
3 years ago
Please help me and dont scam me
Rom4ik [11]

Answer:

10 yards

Step-by-step explanation:

1 yard is 36 inches. Divide 360 by 36 and you get your answer of 10 yards.

6 0
3 years ago
What value of m satisfies the equation<br> m-2=2-m?<br>​
zhuklara [117]

Hello,

Answer: m = 2

Step-by-step explanation:

       m - 2 = 2 - m

⇔ m - 2 + m = 2 - m + m

⇔ 2m - 2 = 2

⇔ 2m - 2 + 2 = 2 + 2

⇔ 2m = 4

⇔ 2m/2 = 4/2

⇔ m = 2

7 0
2 years ago
Read 2 more answers
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