1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
viktelen [127]
2 years ago
14

The solution of the equation 2d - 6 = 5 is _____.

Mathematics
2 answers:
xeze [42]2 years ago
7 0

Answer: d = 11/2 or 5 1/2

Step-by-step explanation:

2d - 6 = 5

    + 6  + 6

2d = 11

/2     /2

d = 11/2 or 5 1/2

statuscvo [17]2 years ago
7 0

Answer:

The answer is

Step-by-step explanation:

So the first step in solving is to isolate the variable. To do that we are going to add 6 on both sides. That will cancel out the -6.

2d - 6 = 5

    + 6    + 6

2d = 11

Now, you're left with 2d = 11.

All you have to do now is divide each side by 2.

You get d = 5.5.

Hope this helps!

You might be interested in
Simplify: 10(-5x+4) A 5x + 4 B - 50x + 4 - 50x + 40 5x + 40​
ELEN [110]

Answer:

-50x+40

Step-by-step explanation:

4 0
2 years ago
A certain article indicates that in a sample of 1,000 dog owners, 610 said that they take more pictures of their dog than of the
lbvjy [14]

Answer:

(a) The 90% confidence interval is: (0.60, 0.63) Correct interpretation is (3).

(b) The 95% confidence interval is: (0.42, 0.46) Correct interpretation is (1).

(c) First, the confidence level in part(b) is <u>more than</u> the confidence level in part(a) is, so the critical value of part(b) is <u>more than</u> the critical value of part(a), Second the <u>margin of error</u> in part(b) is <u>more than</u> than in part(a).

Step-by-step explanation:

(a)

Let <em>X</em> = number of dog owners who take more pictures of their dog than of their significant others or friends.

Given:

<em>X</em> = 610

<em>n</em> = 1000

Confidence level = 90%

The (1 - <em>α</em>)% confidence interval for population proportion is:

CI=\hat p\pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

The sample proportion is:

\hat p=\frac{X}{n}=\frac{610}{1000}=0.61

The critical value of <em>z</em> for a 90% confidence level is:

z_{\alpha/2}=z_{0.10/2}=z_[0.05}=1.645

Construct a 90% confidence interval for the population proportion of dog owners who take more pictures of their dog than their significant others or friends as follows:

CI=\hat p\pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.61\pm 1.645\sqrt{\frac{0.61(1-0.61}{1000}}\\=0.61\pm 0.015\\=(0.595, 0.625)\\\approx(0.60, 0.63)

Thus, the 90% confidence interval for the population proportion of dog owners who take more pictures of their dog than their significant others or friends is (0.60, 0.63).

<u>Interpretation</u>:

There is a 90% chance that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends falls within the interval (0.60, 0.63).

Correct option is (3).

(b)

Let <em>X</em> = number of dog owners who are more likely to complain to their dog than to a friend.

Given:

<em>X</em> = 440

<em>n</em> = 1000

Confidence level = 95%

The (1 - <em>α</em>)% confidence interval for population proportion is:

CI=\hat p\pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

The sample proportion is:

\hat p=\frac{X}{n}=\frac{440}{1000}=0.44

The critical value of <em>z</em> for a 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Construct a 95% confidence interval for the population proportion of dog owners who are more likely to complain to their dog than to a friend as follows:

CI=\hat p\pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.44\pm 1.96\sqrt{\frac{0.44(1-0.44}{1000}}\\=0.44\pm 0.016\\=(0.424, 0.456)\\\approx(0.42, 0.46)

Thus, the 95% confidence interval for the population proportion of dog owners who are more likely to complain to their dog than to a friend  is (0.42, 0.46).

<u>Interpretation</u>:

There is a 95% chance that the true proportion of dog owners who are more likely to complain to their dog than to a friend falls within the interval (0.42, 0.46).

Correct option is (1).

(c)

The confidence interval in part (b) is wider than the confidence interval in part (a).

The width of the interval is affected by:

  1. The confidence level
  2. Sample size
  3. Standard deviation.

The confidence level in part (b) is more than that in part (a).

Because of this the critical value of <em>z</em> in part (b) is more than that in part (a).

Also the margin of error in part (b) is 0.016 which is more than the margin of error in part (a), 0.015.

First, the confidence level in part(b) is <u>more than</u> the confidence level in part(a) is, so the critical value of part(b) is <u>more than</u> the critical value of part(a), Second the <u>margin of error</u> in part(b) is <u>more than</u> than in part(a).

4 0
3 years ago
50 PTS PLUS I WILL MARK BRAINLIEST
ch4aika [34]
Subtract 5x to both sides
7 0
3 years ago
Read 2 more answers
You are filling paper cones with popcorn for a party.
Sunny_sXe [5.5K]

Answer:

The amount of popcorn needed to  fill the paper cone is V=1,005\ cm^{3}

Step-by-step explanation:

we know that

The volume of a cone is equal to

V=\frac{1}{3}\pi r^{2} h

In this problem we have

r=8\ cm

h=15\ cm

\pi =3.14

substitute

V=\frac{1}{3}(3.14)(8)^{2}(15)

V=1,005\ cm^{3}

8 0
3 years ago
Can someone answer this
rosijanka [135]

Answer:

The slope is 1.

Step-by-step explanation:

Remember:

m = \frac{y_2 - y_1 }{x_2 - x_1}

Let's plug in!

m = \frac{ 9 - 4}{4 - ( -1)} = \frac{ 5}{ 5} = 1

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the simplified expression for –2a2b + a2 – 5ab + 3ab2 – b2 + 2(a2b + 2ab)?
    12·1 answer
  • There are 20 wild pigs on an island and the number of pigs doubled each year for the past 5 years. The independent variable is
    9·2 answers
  • The construction shows angles CAB and IDE. There is a circle created from point A that intersects with ray AC, creating point F,
    9·2 answers
  • For the following inequality, indicate whether the boundary line should be dashed or solid.
    15·2 answers
  • If the relation is a function, list the domain and range. If the relation is not a function, choose "not a function".
    8·1 answer
  • The sum of three consecutive odd integers is 76 less then seven times the middle number.Find three integers
    12·1 answer
  • On Friday night, John ate pizza for dinner and had 1/2 of the pizza left over. On Saturday, he ate 1/3 of what was left. How muc
    6·1 answer
  • The formula to calculate the area of a circle from its circumference is:<br><br><br> A =c2/4π
    5·1 answer
  • What is 2/3 dived by the greatest comman facter of 4 and 8?
    9·2 answers
  • 4325 as a product of its prime factors <br>​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!