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adoni [48]
3 years ago
14

A researcher takes a random sample of 2,496 drivers and finds that 1,603 put their phone in "drive mode” to not be distracted wh

ile driving. A 90% confidence interval for the proportion of drivers who use "drive mode” on their phones is (0.626, 0.658). Which statement correctly interprets the interval? The researcher can be 90% confident that 64% of all drivers will use “drive mode” while driving. There is a 90% probability that the proportion of drivers who use “drive mode” lies between 0.626 and 0.658. The researcher can be 90% confident that the interval from 0.626 to 0.658 captures the true proportion of all drivers who use “drive mode.” If this procedure is repeated many, many times, the true proportion of drivers who use “drive mode” will be captured 90% of the time.
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
7 0

Answer:

The researcher can be 90% confident that the interval from 0.626 to 0.658 captures the true proportion of all drivers who use “drive mode.”

Step-by-step explanation:

edge2021

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:((( please answer! Thanks.
Slav-nsk [51]

Answer:

66

Step-by-step explanation:

71+43=114

180-114=66

7 0
3 years ago
Read 2 more answers
Solve the equation by factoring. 8x^2+10x-7=0<br><br> What is the solution set?
nydimaria [60]

Answer:

\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}

Step-by-step explanation:

Given: 8x² + 10x - 7 = 0

<u>When factoring trinomials of the form ax² + bx + c</u>:

  • multiply the leading coefficient and the last term.
  • find the product factors that add to give you the coefficient of the middle term.
  • rewrite the polynomial with those factors replacing the middle term.

1. Split the middle term:

⇒ 8 × -7 = -56 [multiply the leading coefficient and the last term]

⇒ 14, -4 [find the product factors that add to the middle term's coefficient]

⇒ 8x² + 14x - 4x - 7 = 0 [rewrite with those factors replacing the middle term.]

2. Factor by grouping:

⇒ 8x² + 14x - 4x - 7 = 0 [factor out 2x]

⇒ 2x(4x + 7) - 4x - 7 = 0 [factor out -1 or the negative sign]

⇒ 2x(4x + 7) -1(4x + 7) = 0 [factor out 4x + 7]

⟹ (4x + 7)(2x - 1) = 0

3. Separate into 2 cases:

  1. 4x + 7 = 0
  2. 2x - 1 = 0

 

<u><em>Case 1:</em></u>

⇒ 4x + 7 = 0 [subtract 7 from both sides]

⇒ 4x + 7 - 7 = 0 - 7

⇒ 4x = -7 [divide both sides by 4]

⇒ 4x ÷ 4 = -7 ÷ 4

⟹ x = \bold{-\dfrac{7}{4}}

<u><em>Case 2:</em></u>

⇒ 2x - 1 = 0 [subtract 1 from both sides]

⇒ 2x - 1 + 1 = 0 + 1

⇒ 2x = 1 [divide both sides by 2]

⇒ 2x ÷ 2 = 1 ÷ 2

⟹ x = \bold{\dfrac{1}{2}}

Solutions:

\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}

Learn more about quadratic equations here:

brainly.com/question/27750885

brainly.com/question/27739892

brainly.com/question/27638369

7 0
2 years ago
Read 2 more answers
What's 2×8=??????????????????????????
Fynjy0 [20]

The answer is 16

8+8 = 16 which is 2*8

2*9 = 18

9+9 = 18

Have a nice day❤︎

---

<em>Kearsi</em>

5 0
4 years ago
Read 2 more answers
Please help with my geometry!!!!
dlinn [17]

I wish i remembered that but it has been a while


3 0
3 years ago
The vertices of a triangle are A(0, 0), B(3, 8), and C(9, 0). What is the area of this triangle?
Harlamova29_29 [7]
Answer: 36 units squared.


Explanation:
Area of a traingle is given by,

| 0.5{x1(y2-y3) + x2(y3-y1) + x3(y1-y2)} |

Accepting the values of the coordinates in x's and y's,

x1 =0, y1=0

x2=3, y2=8

x3 =9, y3=0

= | 0.5 × (-72)|
= 36 unit squared.
8 0
4 years ago
Read 2 more answers
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