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Aleksandr-060686 [28]
2 years ago
8

Johnny says that he solved

Mathematics
1 answer:
tatuchka [14]2 years ago
7 0

Answer:

Yes 10.7

Step-by-step explanation:

You might be interested in
The management of a relatively new social networking website named BooglePlus is conducting a pilot study comparing use of its o
zavuch27 [327]

Answer:

0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x

Step-by-step explanation:

Given the data in the question;

sample size n = 28

slope of the least squares regression line of y on x or sample estimate = 0.0623

standard error = 0.0224

95% confidence interval

level of significance ∝ = 1 - 95% = 1 - 0.95 = 0.05

degree of freedom df = n - 2 = 28 - 2 = 26

∴ the equation will be;

⇒ sample estimate ± ( t-test) ( standard error )

⇒ sample estimate ± ( t_{\alpha /2, df) ( standard error )

⇒ sample estimate ± ( t_{0.05 /2, 26) ( standard error )

⇒ sample estimate ± ( t_{0.025, 26) ( standard error )

{ from t table; ( t_{0.025, 26) = 2.055529 = 2.056

so we substitute

⇒ 0.0623 ± ( 2.056 )( 0.0224 )

Therefore, 0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x

5 0
3 years ago
Which graph represents the solution set of the system of inequalities? {x+y<12 y≥x−4
RSB [31]

Answer: The graph in the bottom right-hand corner

(see figure 4 in the attached images below)

===========================================

Explanation:

Let's start off by graphing x+y < 1. The boundary equation is x+y = 1 since we simply change the inequality sign to an equal sign. Solve for y to get x+y = 1 turning into y = -x+1. This line goes through (0,1) and (1,0). The boundary line is a dashed line due to the fact that there is no "or equal to" in the original inequality sign. So x+y < 1 turns into y < -x+1 and we shade below the dashed line. The "less than" means "shade below" when y is fully isolated like this. See figure 1 in the attached images below.

Let's graph 2y >= x-4. Start off by dividing everything by 2 to get y >= (1/2)x-2. The boundary line is y = (1/2)x-2 which goes through the two points (0,-2) and (4,0). The boundary line is solid. We shade above the boundary line. Check out figure 2 in the attached images below.

After we graph each individual inequality, we then combine the two regions on one graph. See figure 3 below. The red and blue shaded areas in figure 3 overlap to get the purple shaded area you see in figure 4, which is the final answer. Any point in this purple region will satisfy both inequalities at the same time. The solution point cannot be on the dashed line but it can be on the solid line as long as the solid line is bordering the shaded purple region. Figure 4 matches up perfectly with the bottom right corner in your answer choices.

5 0
2 years ago
Read 2 more answers
PLEASE HELP I REALLY NEED IT!!!! WORTH 100 POINTS
-Dominant- [34]

Answer:

Question 1 : The answer is 143.3 miles

Question 2 : The answer is 120 minutes

Step-by-step explanation:

1.Based on the give conditions:

43 \times 90 \div 27 \\ calculate \frac{43 \times 90}{27}  =  \frac{430}{3}= 143.3

2. 90 miles = 75min

143.3 ÷ 90 = 1.6

75 × 1.6 = 120

so the answer is 120 min

3 0
1 year ago
H(x) = -3(x²)<br><br><br> describe the transformation
Shkiper50 [21]

Answer:

The parent function is the simplest form of the type of function given.

g

(

x

)

=

x

2

The transformation being described is from  

g

(

x

)

=

x

2

to  

h

(

x

)

=

−

3

x

2

.

g

(

x

)

=

x

2

→

h

(

x

)

=

−

3

x

2

The horizontal shift depends on the value of  

h

. The horizontal shift is described as:

h

(

x

)

=

f

(

x

+

h

)

- The graph is shifted to the left  

h

units.

h

(

x

)

=

f

(

x

−

h

)

- The graph is shifted to the right  

h

units.

In this case,  

h

=

0

which means that the graph is not shifted to the left or right.

Horizontal Shift: None

The vertical shift depends on the value of  

k

. The vertical shift is described as:

h

(

x

)

=

f

(

x

)

+

k

- The graph is shifted up  

k

units.

h

(

x

)

=

f

(

x

)

−

k

- The graph is shifted down  

k

units.

In this case,  

k

=

0

which means that the graph is not shifted up or down.

Vertical Shift: None

The graph is reflected about the x-axis when  

h

(

x

)

=

−

f

(

x

)

.

Reflection about the x-axis: Reflected

The graph is reflected about the y-axis when  

h

(

x

)

=

f

(

−

x

)

.

Reflection about the y-axis: None

Compressing and stretching depends on the value of  

a

.

When  

a

is greater than  

1

: Vertically stretched

When  

a

is between  

0

and  

1

: Vertically compressed

Vertical Compression or Stretch: Stretched

Compare and list the transformations.

Parent Function:  

g

(

x

)

=

x

2

Horizontal Shift: None

Vertical Shift: None

Reflection about the x-axis: Reflected

Reflection about the y-axis: None

Vertical Compression or Stretch: Stretched

image of graph

The parent function is the simplest form of the type of function given.

g

(

x

)

=

x

2

The transformation being described is from  

g

(

x

)

=

x

2

to  

h

(

x

)

=

−

3

x

2

.

g

(

x

)

=

x

2

→

h

(

x

)

=

−

3

x

2

The horizontal shift depends on the value of  

h

. The horizontal shift is described as:

h

(

x

)

=

f

(

x

+

h

)

- The graph is shifted to the left  

h

units.

h

(

x

)

=

f

(

x

−

h

)

- The graph is shifted to the right  

h

units.

In this case,  

h

=

0

which means that the graph is not shifted to the left or right.

Horizontal Shift: None

The vertical shift depends on the value of  

k

. The vertical shift is described as:

h

(

x

)

=

f

(

x

)

+

k

- The graph is shifted up  

k

units.

h

(

x

)

=

f

(

x

)

−

k

- The graph is shifted down  

k

units.

In this case,  

k

=

0

which means that the graph is not shifted up or down.

Vertical Shift: None

The graph is reflected about the x-axis when  

h

(

x

)

=

−

f

(

x

)

.

Reflection about the x-axis: Reflected

The graph is reflected about the y-axis when  

h

(

x

)

=

f

(

−

x

)

.

Reflection about the y-axis: None

Compressing and stretching depends on the value of  

a

.

When  

a

is greater than  

1

: Vertically stretched

When  

a

is between  

0

and  

1

: Vertically compressed

Vertical Compression or Stretch: Stretched

Compare and list the transformations.

Parent Function:  

g

(

x

)

=

x

2

Horizontal Shift: None

Vertical Shift: None

Reflection about the x-axis: Reflected

Reflection about the y-axis: None

Vertical Compression or Stretch: Stretched

image of graph

Step-by-step explanation:

8 0
3 years ago
Y varies directly as x y = 120 when x = 8 find y when x = 14
ANTONII [103]

Answer:

y = 120

Step-by-step explanation:

this is the formula

y = kx

now insert the numbers to find k

120 = k8

120/8

k = 15

now insert 15 into the equation where k was

y = 15 x 14

y = 210

3 0
3 years ago
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