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
777dan777 [17]
3 years ago
6

If the statement "If it is cold, then I wear a jacket" is assumed to be true, is its converse, "If I wear a jacket, then it must

be cold," also always true?
Mathematics
1 answer:
Ad libitum [116K]3 years ago
8 0

it is false, there could be other reasons they wear a jacket other than being cold.

You might be interested in
Simplify. x^2-3x-18/x+3
andre [41]

Answer:

1. Option C is correct

2. Option A is correct

3. Option C is correct

4. Option B is correct

5. Option D is correct

Step-by-step explanation:

1. x^2-3x-18/x+3

Factorize the numerator

x^2-6x+3x-18/x+3

x(x-6)+3(x-6)/x+3

(x+3)(x-6)/x+3

x-6

x-6 where x≠6

Option C is correct.

2. x-2/x^2+4x-12

Factorizing the denominator

x-2/x^2+6x-2x-12

x-2/x(x+6)-2(x+6)

x-2/(x-2)(x+6)

1/x+6

1/x+6 where x≠-6

Option A is correct.

3. 5x^3/7 x^3+x^4

5x^3/7x^3+x^4

5x^3/x^3(7+x)

5/7+x

Option C is correct

5/7+x where x≠-7

4. Simplify x/6x-x^2

x/6x-x^2

x/x(6-x)

1/6-x

Option B is correct

1/6-x where x≠6

5. 2/3a * 2/a^2

Multiplying both terms

4/3a^3

Option D is correct.

4/3a^3 where a≠0

7 0
3 years ago
The price of gold is often reported per ounce. At the end of 2005, this price was $513. At the end of 2015, it was $1060. By wha
erastova [34]

Answer:

106.63%.

Step-by-step explanation:  

We have been given that at the end of 2005, this price was $513. At the end of 2015, it was $1060.

To find the percentage of the price per ounce of gold increase we will use % increase formula.

\text{Percent Increase}=\frac{\text{Final value-Initial value}}{\text{Initial value}}\times 100

Let us substitute our given values in above formula.

\text{Percent Increase}=\frac{1060-513}{513}\times 100

\text{Percent Increase}=\frac{547}{513}\times 100

\text{Percent Increase}=1.0662768031189084\times 100

\text{Percent Increase}=106.62768031189084\approx 106.63

Therefore, the price of per ounce of gold increased by 106.63%.

5 0
3 years ago
Tom bought 7 new baseball trading cards to add to his collection the next day his dog ate half of his collection. There are now
Ede4ka [16]

Answer: 83 cards

Step-by-step explanation:

38 x 2 + 7 = 83

6 0
3 years ago
A publisher reports that 344% of their readers own a particular make of car. A marketing executive wants to test the claim that
inysia [295]

Answer:

No, there is not enough evidence at the 0.02 level to support the executive's claim.

Step-by-step explanation:

We are given that a publisher reports that 34% of their readers own a particular make of car. A random sample of 220 found that 30% of the readers owned a particular make of car.

And, a marketing executive wants to test the claim that the percentage is actually different from the reported percentage, i.e;

Null Hypothesis, H_0 : p = 0.34 {means that the percentage of readers who own a particular make of car is same as reported 34%}

Alternate Hypothesis, H_1 : p \neq 0.34 {means that the percentage of readers who own a particular make of car is different from the reported 34%}

The test statistics we will use here is;

                T.S. = \frac{\hat p -p}{\sqrt{\frac{\hat p(1- \hat p)}{n} } } ~ N(0,1)

where, p = actual % of readers who own a particular make of car = 0.34

            \hat p = percentage of readers who own a particular make of car in a

                  sample of 220 = 0.30

            n = sample size = 220

So, Test statistics = \frac{0.30 -0.34}{\sqrt{\frac{0.30(1- 0.30)}{220} } }

                             = -1.30

Now, at 0.02 significance level, the z table gives critical value of -2.3263 to 2.3263. Since our test statistics lie in the range of critical values which means it doesn't lie in the rejection region, so we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that the actual percentage of readers who own a particular make of car is same as reported percentage and the executive's claim that it is different is not supported.

3 0
3 years ago
Can somebody like tell me the answer
nasty-shy [4]

Answer:

Mason is incorrect.

Step-by-step explanation:

Equivalent ratios are formed when the same number is MULTIPLIED to each number in the ratior, not when the same number is added. So for example, a ratio equivalent to 2:3 would be 4:6, because 2*2=4 and 3*2=6. You multiply to create equivalent ratios, not add.

(That would be your explanation)

3 0
3 years ago
Read 2 more answers
Other questions:
  • Find the exact values of the sine, cosine, and tangent of the angle. 255=300-45
    13·1 answer
  • Solve this system of linear equations. separate the x- and y- values with a coma. -2x=8-6y
    8·1 answer
  • A pound of chocolate costs 6 dollars. Diane buys P pounds. Write an equation to represent the total cost c that Diane pays.
    7·1 answer
  • I am just started doing trigonometry and I am already lost. Help?
    13·1 answer
  • Mrs. Brown gives two tests to her class. 30% of the class passed both tests and 45% of the class passed the first test. What per
    10·1 answer
  • What is the midpoint of BD
    9·1 answer
  • Write an expression of the perimeter of the rectangle.<br> help asap
    11·1 answer
  • A triangle has side lengths of 14 cm and 8 cm. Which could be the value of the third side, 26 cm or 18 cm?
    6·1 answer
  • What time is shown on the clock?
    15·1 answer
  • HELP I'LL GIVE 50 POINTS IF YOU CAN HELP WITH THIS MATH QUESTION<br>IMAGE BELOW...​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!