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vova2212 [387]
2 years ago
15

Which equation represents the line that contains the point ( 7 , − 1 ) ( 7 , − 1 ) and is parallel to the line represented by 3

x + y = 4
Mathematics
1 answer:
krek1111 [17]2 years ago
4 0

Answer:

Step-by-step explanation:

3x+y = 5

slope of line is -3

slope of any parallel to the line is also -3

point-slope equation for line of slope -3 that passes through (7,-1):

y+1 = -3(x-7)

You haven't provided the choices, but one of them is equivalent to the point-slope equation.

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Determine 7th term in the geometric sequence whose first term is 5 and whose common ratio is 2.
blagie [28]
\bf n^{th}\textit{ term of a geometric sequence}
\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=5\\
r=2\\
n=7
\end{cases}
\\\\\\
a_7=5\cdot 2^{7-1}\implies a_7=5\cdot 2^6\implies a_7=320
7 0
3 years ago
The graphs below have the same shape. What is the equation of the blue<br> graph?
hoa [83]

Answer:

B

Step by Step Explanation

It is because the y intercept is -2 and here since it is a curve, it is ()^2.

7 0
3 years ago
If there are 7 girls and three boys in the class, what percent of the class is boys ?​
Ostrovityanka [42]

Answer:

30% 10 people 3 of 10 is 30%

Step-by-step explanation:

6 0
3 years ago
Obtain the required confidence interval for the difference between two population proportions. Assume that independent simple ra
Thepotemich [5.8K]

Answer:

The 95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program = ( -0.293, 0.023)

Step-by-step explanation:

The formula for confidence interval for the difference between the proportions is given as:

p1 - p2 ± z × √p1 (1 - p1)/n1 + p2(1 - p2)/n2

From the question

We have two groups.

Group 1 = For women

A survey found that 37 of 74 randomly selected women

p1 = x/n1

n1 = 74

x1 = 37

p1 = 37/74

p1 = 0.5

Group 2 = For Men

A survey found out that 47 of 74 randomly selected men follow a regular exercise program

p2 = x/n1

n2= 74

x2 = 47

p2 = 47/74

p2 = 0.6351351351 ≈ 0.635

z = z score for 95% Confidence Interval = 1.96

The confidence interval for the difference between the proportions is given as:

p1 - p2 ± z × √p1 (1 - p1)/n1 + p2(1 - p2)/n2

0.5 - 0.635 ± 1.96 × √0.5 (1 - 0.5)/74 + 0.635(1 - 0.635)/74

-0.135 ± 1.96 × √(0.5 × 0.5)/74 + (0.635× 0.365)/74

-0.135 ± 1.96 × 0.08068750209663572

-0.135 ± 0.158147504109406

Hence:

= -0.135 - 0.158147504109406

= -0.2931475041

Approximately = -0.293

= -0.135 + 0.158147504109406

= 0.0231475041

Approximately = 0.023

Therefore, the 95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program = ( -0.293, 0.023)

6 0
3 years ago
What is the y-intercept of the graph below?
irinina [24]

Answer:

the y intercept is 2

Step-by-step explanation:

we can see this because the line crossed the 2 on the y axis line

4 0
3 years ago
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