Answer:
Tamara incorrectly factored the whole expression.
Step-by-step explanation:
Note that
•21x=3·7·x;
•56xy=2·2·2·7·x·y.
Mark in bold all common factors, then GCF(21x,56xy)=7·x=7x.
Thus,
21x+56xy=7x(3+8y).
Hence, Tamara correctly found the GCF of numbers 21 and 56, but incorrectly factored the whole expression.
Answer: 7x^2+21x+14
Step-by-step explanation:
(7x+7)(x+2)
Multiply each term in the first parentheses by each term in the second parentheses (FOIL)
7x×x+7x×2+7x+7×2
↘ ↙
7x×x calculate product
7x^2+7x×2+7x+7×2
↘ ↙
7x×2 calculate product
7x^2+14x+7x+7×2
↘↙
7×2 multiply numbers
7x^2+14x+7x+14
↘ ↙
21x collect like terms
7x^2+21x+14 is your end result.
Answera and Step-by-step explanation: Correlation Coefficient is the measure of how strong two variables are. There are numerous types of correlation coefficients and the product moment correlation coefficient, also known as <em>Pearson's correlation</em> or <em>Pearson's R</em> is most commonly used in linear regression. The formula to calculate it is:
r = n(∑xy) - (∑x)(∑y) / √[∑x² - (∑x)²].[n∑y² - (∑y)²]
To find the value of R:
1) Separate the values of X and Y and out them in 2 columns.
2) Add 3 more columns: for xy, x² and y²;
3) Find the values of each column;
4) Add each column;
5) Put the sum of each column in its place on the formula above;
6) Find the correlation.
i) For this question, r = 0.9645. As it's <u>positive</u>, means that the two variables are directly linked, i.e., an increase in one variable will produce an increase in the other variable in the same proportion.
ii) The Senator should distribute Norvasc to the old adults groups, because, as the <u>population grows</u>, the death associated with high blood pressure will <u>also grow</u>, as explained by the correlation coefficient.
Answer:
order
500x+38000
500(22)+38000
11000+38000
49000
Step-by-step explanation:
We can write the following equation
38000+500x= salary
where x is the number of air conditioners sold
To get the answer just plug in 22 for x
38000+500(22)=49000
Answer:
Length is 7.7 and width is 9.2
Step-by-step explanation:
The length and width of the rectangle will be the y and x coordinate of the diagonal line at angle of 40 degrees
Length L = dsin theta
Width W = d coos theta
d is the length of the diagonal
Given
d = 12
theta = 40°
Substitute
Length = 12sin40°
Length = 12(0.6428)
Length = 7.7135
Length ≈ 7.7
Width = 12cos 40
Width = 12(0.7660)
Width = 9.192
Width = 9.2
Hence the length is 7.7 and width is 9.2
