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babymother [125]
3 years ago
11

Determine whether the data described below are qualitative or quantitative and explain why. The shoe sizes ( such as 8 or 10 and

one half ) of test subjects Choose the correct answer below. A. The data are qualitative because they don't measure or count anything. B. The data are qualitative because they consist of counts or measurements. C. The data are quantitative because they don't measure or count anything. D. The data are quantitative because they consist of counts or measurements.
Mathematics
1 answer:
dsp733 years ago
6 0

Answer:

D. The data are quantitative because they consist of counts or measurements.

Step-by-step explanation:

The qualitative data is the one that can describe the object, doesn't require to measure, it could be the material, the color, even the smell.

The quantitative data is everything you can measure or count, the height, the number of objects.

The shoe size is quantitative data, can take different numeric values, and represents the length of the foot.

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Sally either walks, cycles or drives to work. She walks about 15% of the time and drives about 3/5 of the time. What percentage
Ivan

Answer:

25%

Step-by-step explanation:

We need to first convert 3/5th to percentage so we are only dealing with percentage.

3/5 doing division would give us 0.6

Multiply that by 100, we get

0.6 * 100 = 60%

Thus, now we can say:

Walking = 15%

Driving = 60%

The remaining time is cycling. How much?

15 % + 60 % + cycling = 100%

75% + cycling = 100%

Cycling = 100 - 75 = 25%

7 0
3 years ago
Complete the identity.<br> 1) sec^4 x + sec^2 x tan^2 x - 2 tan^4 x = ?
Alecsey [184]

Answer:

See Explanation

Step-by-step explanation:

<em>Question like this are better answered if there are list of options; However, I'll simplify as far as the expression can be simplified</em>

Given

sec^4 x + sec^2 x tan^2 x - 2 tan^4 x

Required

Simplify

(sec^2 x)^2 + sec^2 x tan^2 x - 2 (tan^2 x)^2

Represent sec^2x with a

Represent tan^2x with b

The expression becomes

a^2 + ab- 2 b^2

Factorize

a^2 + 2ab -ab- 2 b^2

a(a + 2b) -b(a+ 2 b)

(a -b) (a+ 2 b)

Recall that

a = sec^2x

b = tan^2x

The expression (a -b) (a+ 2 b) becomes

(sec^2x -tan^2x) (sec^2x+ 2 tan^2x)

..............................................................................................................................

In trigonometry

sec^2x =1  +tan^2x

Subtract tan^2x from both sides

sec^2x - tan^2x =1  +tan^2x - tan^2x

sec^2x - tan^2x =1

..............................................................................................................................

Substitute 1 for sec^2x - tan^2x in (sec^2x -tan^2x) (sec^2x+ 2 tan^2x)

(1) (sec^2x+ 2 tan^2x)

Open Bracket

sec^2x+ 2 tan^2x ------------------This is an equivalence

(secx)^2+ 2 (tanx)^2

Solving further;

................................................................................................................................

In trigonometry

secx = \frac{1}{cosx}

tanx = \frac{sinx}{cosx}

Substitute the expressions for secx and tanx

................................................................................................................................

(secx)^2+ 2 (tanx)^2 becomes

(\frac{1}{cosx})^2+ 2 (\frac{sinx}{cosx})^2

Open bracket

\frac{1}{cos^2x}+ 2 (\frac{sin^2x}{cos^2x})

\frac{1}{cos^2x}+ \frac{2sin^2x}{cos^2x}

Add Fraction

\frac{1 + 2sin^2x}{cos^2x} ------------------------ This is another equivalence

................................................................................................................................

In trigonometry

sin^2x + cos^2x= 1

Make sin^2x the subject of formula

sin^2x= 1  - cos^2x

................................................................................................................................

Substitute the expressions for 1  - cos^2x for sin^2x

\frac{1 + 2(1  - cos^2x)}{cos^2x}

Open bracket

\frac{1 + 2  - 2cos^2x}{cos^2x}

\frac{3  - 2cos^2x}{cos^2x} ---------------------- This is another equivalence

8 0
3 years ago
How do you estimate 1,374×6
san4es73 [151]
The best estimate for 1,374 is 1,400 and the best estimate for 6 is 10. This is because anything that is 5 and above you change it. Example: 16 the best estimate for 16 is 20 because 6 is above 5. And when a number is 4 and below you change the number below. Example: 12 the best estimate for 12 is 10 because 2 is below 4. And when the number is perfect like 10, you can keep the number the same. Example:10,20,30,40,50,60etc.
Hope this Helped! :)
4 0
3 years ago
BRAINLIEST IF CORRECT 40 POINTS
kati45 [8]

Answer:

D. The checking account is overdrawn by $15.

Step-by-step explanation:

Since the balance on a checking account represents the remaining money left in that checking account, having a negative value for that would mean an overdrawing of money, or drawing more money than is in that account in the first place.

Therefore, the answer would be that the checking account is overdrawn by $15.

Hope this helped!

4 0
3 years ago
SOMEONE PLS HELP ME WITH THIS: Jack Thomas has an fudge sundae with 450 calories. How long would it take him to burn off the cal
KATRIN_1 [288]

Answer:

It would take him 450 minutes to burn off the calories by sleeping

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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