Which expression represents the intersection of A and B?

Two students were given the expression shown to simplify. Use the drop-down menus to complete the statements about whether each

sdas [7]

Answer:

Step-by-step explanation:

6 - (2 - 4x)

sophia : 6 + 2 + 4x

sophia's expression is incorrect because she didn't distribute the negative sign thru the parenthesis correctly.

ursula : 6 - (-2x)

ursula's expression is incorrect because....well....I dont know how she got what she got...she possibly subtracted 2 from - 4x and got -2x

a correct equivalent expression is : 6 - 2 + 4x or 4 + 4x

6 0

1 year ago

Read 2 more answers

Henry is painting a house. He placed a 24 foot ladder 15 feet away from the base of the house so that it leaned up against the h

Misha Larkins [42]

Answer:

the answer is 3.2 i think

4 0

2 years ago

A psychologist is collecting data on the time it takes to learn a certain task. For 50 randomly selected adult subjects, the sam

tatuchka [14]

Answer: $(15.263,\ 17.537)$

Step-by-step explanation:

According to the given information, we have

Sample size : n= 50

$\overline{x}=16.40$

$s=4.00$

Since population standard deviation is unknown, so we use t-test.

Critical value for 95 percent confidence interval :

$t_{n-1,\alpha/2}=t_{49, 0.025}= 2.009575\approx2.010$

Confidence interval : $\overline{x}\pm t_{n-1, \alpha/2}\dfrac{s}{\sqrt{n}}$

$16.40\pm (2.010)\dfrac{4}{\sqrt{50}}\\\\=16.40\pm1.13702770415\\\\=16.40\pm1.1370\\\\=(16.40-1.1370,\ 16.40+1.1370)\\\\=(15.263,\ 17.537)$

Required 95% confidence interval : $(15.263,\ 17.537)$

8 0

1 year ago

Researchers studying the effectiveness of a diet on heart disease divided the study's participants into two groups—those with Ty

madreJ [45]

Answer:

The correct option is A) Nominal.

Step-by-step explanation:

Consider the provided information.

Researchers studying the effectiveness of a diet on heart disease divided the study's participants into two groups those with Type A personalities and those with Type B personalities.

Type of measurement scales:

Ratio: We can compare quantity as a multiple of one another.

For example: A father's weight is twice to his son.

Interval: Interval is the measurement scale in which each of the position is equidistant from another.

Level of excitement, rated from 1 to 5.

Ordinal: Ordinal measurement scale in which sets are in order by their position.

For example: First, second, third in a competition.

Nominal: Nominal data are objects distinguished by a straightforward scheme of naming.

For example: The employees in a office can be male or female.

Now, from the above definition it is clear that the type of measurement scale which can depict the scenario is Nominal.

Hence, the correct option is A) Nominal.

3 0

1 year ago

World wind energy generating1 capacity, W , was 371 gigawatts by the end of 2014 and has been increasing at a continuous rate of

Sunny_sXe [5.5K]

Answer:

a) $W(t) = 371(1.168)^{t}$

b) Wind capacity will pass 600 gigawatts during the year 2018

Step-by-step explanation:

The world wind energy generating capacity can be modeled by the following function

$W(t) = W(0)(1+r)^{t}$

In which W(t) is the wind energy generating capacity in t years after 2014, W(0) is the capacity in 2014 and r is the growth rate, as a decimal.

371 gigawatts by the end of 2014 and has been increasing at a continuous rate of approximately 16.8%.

This means that

$W(0) = 371, r = 0.168$

(a) Give a formula for W , in gigawatts, as a function of time, t , in years since the end of 2014 . W= gigawatts

$W(t) = W(0)(1+r)^{t}$

$W(t) = 371(1+0.168)^{t}$

$W(t) = 371(1.168)^{t}$

(b) When is wind capacity predicted to pass 600 gigawatts? Wind capacity will pass 600 gigawatts during the year?

This is t years after the end of 2014, in which t found when W(t) = 600. So

$W(t) = 371(1.168)^{t}$

$600 = 371(1.168)^{t}$

$(1.168)^{t} = \frac{600}{371}$

$(1.168)^{t} = 1.61725$

We have that:

$\log{a^{t}} = t\log{a}$

So we apply log to both sides of the equality

$\log{(1.168)^{t}} = \log{1.61725}$

$t\log{1.168} = 0.2088$

$0.0674t = 0.2088$

$t = \frac{0.2088}{0.0674}$

$t = 3.1$

It will happen 3.1 years after the end of 2014, so during the year of 2018.

7 0

1 year ago