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3 years ago

The base of a triangle measures (3x − 6) units and the height measures (2x + 4) units.

Mathematics

1 answer:

ella [17]3 years ago

5 0

Answer With Step-by-step explanation:

Part A:

.5[ (3x – 6) (2x + 4) ]

.5(6x^2 - 24)

3x^2 - 12

Part B:

Second Degree Binomial

Part C:

For Part A, a polynomial was multiplied by another polynomial. The resulting product was a polynomial. This is a demonstration of the closure property for multiplying polynomials.

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For a certain population of men, 8 percent carry a certain genetic trait. For a certain population of women, 0.5 percent carry t

Lena [83]

Answer:

(D) 200 men and 2,000 women

Step-by-step explanation:

To have an approximately normal distribution for the difference between proportions, we have to have sample sizes that are big enough to satisfy this conditions:

$np>10\\\\n(1-p)>10$

For men, we have p=0.08, so we have:

$n*0.08>10\Rightarrow n>125\\\\n(1-0.08)=n*0.92>10 \Rightarrow n>11$

The sample size for men has to be at least 125 individuals.

For women, we have p=0.005:

$n*0.005>10\Rightarrow n>2000\\\\n(1-0.005)=n*0.995>10 \Rightarrow n>11$

The sample size for women has to be at least 2000 individuals.

The option that satisfy the requirements for men and women is Option D, as the others don't have enough sample size for women.

5 0

3 years ago

The data represents the number of days it takes for different tomato plant to produce tomatoes. Use the information to complete

andre [41]

Answer:

1, 5, 10, 10, 7, 1

Step-by-step explanation: Count

5 0

3 years ago

Shannon test-drives a car in Germany and drives 95 kilometer per hour. What is her speed in miles per hour? (1 kilometer < 0.

victus00 [196]

Answer:

58.9 miles per hour

Step-by-step explanation:

Step 1: Convert 95 Kilometers per hour to miles per hour

1 Kilometer = 0.62 miles

95 Km x $\frac{0.62 miles}{1 km}$

cancel Km

95 Km x $\frac{0.62 miles}{1 km}$ = $\frac{95}{1}$ x $\frac{0.62 miles}{1}$ = $\frac{58.9 miles}{1}$ or 58.9 miles

Change it into speed

58.9 miles per hour (59 miles per hour (Round off))

(Note: I don't know if I should round off because the instructions aren't that clear. This solution might or might not have been thought to you by your lecturer.)

4 0

2 years ago

A toy maker claims his best product has an average lifespan of exactly 14 years. A skeptical quality control specialist asks for

slamgirl [31]

Answer:

interval = [17.3948 , 20.6052]

Step-by-step explanation:

given,

random sample (n) = 45

average product lifespan = 19 years

standard deviation = 4 years

confidence interval of 99 % = ?

we know,

t* = qt(1.99/2 + 44 ) = qt(0.995,44)

t* = 2.692

so,

interval

$x = 19 \pm t* \times (\dfrac{s}{\sqrt{n}})$

$x = 19 \pm 2.692 \times (\dfrac{4}{\sqrt{45}})$

$x = 19 \pm 2.692 \times 0.5963$

$x = 19 \pm 1.6052$

interval = [19 - 1.6052 , 19 + 1.6052]

interval = [17.3948 , 20.6052]

4 0

3 years ago

What is the square root of 216?

KATRIN_1 [288]

$\sqrt{216}=\sqrt{36\cdot6}=\sqrt{36}\cdot\sqrt6=6\sqrt6$

$216|2\\108|2\\.\ 54|2\\.\ 27|3\\.\ \ 9|3\\.\ \ 3|3\\.\ \ 1\\\\216=2^2\cdot3^2\cdot2\cdot3\\\\\sqrt{216}=\sqrt{2^2\cdot3^2\cdot2\cdot3}=\sqrt{2^2}\cdot\sqrt{3^2}\cdot\sqrt6=2\cdot3\cdot\sqrt6=6\sqrt6$

5 0

3 years ago