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4 years ago

Read the true statement below and tell whether the converse, inverse, and contrapositive are also true.

Mathematics

1 answer:

IgorC [24]4 years ago

5 0

Converse: False because he can live somewhere else but still belong in Hawaii

Inverse: False because he can live somewhere else but still belong in Hawaii

Contrapositive: True because Honolulu belongs to Hawaii so if he doesn't live in Hawaii he absolutely can't live in Honolulu

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The vector v has initial point P(1, 0) and terminal point Q that is on the y-axis and above the initial point. Find the coordina

zloy xaker [14]

Answer:

The terminal point is Q(0,4)

Step-by-step explanation:

We are given the following in the question:

Initial point of vector, P(1,0)

The terminal point Q lies on the y-axis, thus Q have coordinates of the form:

$Q(0,y)$

The magnitude of the vector is $\sqrt{65}$

Magnitude is given by:

$v = \sqrt{(x_2-x_2)^2+(y_2-y_1)^2}\\\sqrt{65}=\sqrt{(0-1)^2+(y-0)^2}\\\sqrt{65}=\sqrt{1+y^2}\\65 = 1+y^2\\y^2 = 64\\y = \pm 8$

But since the terminal point is above the initial point, thus,

$y > 0\\\Rightarrow y = 4$

Thus, the terminal point is Q(0,4)

4 0

3 years ago

One car went 10 miles farther when traveling at 50 mph than a second car that traveled 2 hours longer at a speed of 40 mph. How

lesya [120]

<span>times t hours and (t+2) hours)
d1 = 50 t
d2 = 40(t+2)

50 t = 10 + 40(t+2)

10 t = 90

t = 9
</span>

5 0

4 years ago

Definition of Inquality

ratelena [41]

Answer:

inequality: difference in size, degree, circumstances, etc.; lack of equality.

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

A pathologist has been studying the frequency of bacterial colonies within the field of a microscope using samples of throat cul

nata0808 [166]

Answer:

P(0) = 0.055

P(1) = 0.16

P(2) = 0.231

P(3) = 0.224

P(4) = 0.162

P(5 or more) = 0.168

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Here λ = 2.90 is the average number of bacteria colonies per field.

This means that $\mu = 2.90$

Compute P(r) for r = 0, 1, 2, 3, 4, and 5 or more.

$P(0) = \frac{e^{-2.9}*(2.9)^{0}}{(0)!} = 0.055$

$P(1) = \frac{e^{-2.9}*(2.9)^{1}}{(1)!} = 0.16$

$P(2) = \frac{e^{-2.9}*(2.9)^{2}}{(2)!} = 0.231$

$P(3) = \frac{e^{-2.9}*(2.9)^{3}}{(3)!} = 0.224$

$P(4) = \frac{e^{-2.9}*(2.9)^{4}}{(4)!} = 0.162$

5 or more:

This is

$P(X \geq 5) - 1 - P(X < 5)$

In which:

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.055 + 0.16 + 0.231 + 0.224 + 0.162 = 0.832$

$P(X \geq 5) - 1 - P(X < 5) = 1 - 0.832 = 0.168$

P(5 or more) = 0.168

7 0

3 years ago

Dylan is rollerblading along an 8 mile trail in the forest park she stopped for water after 2.4 miles. After another 3.1 miles,

mr_godi [17]

Add up the amount of miles she actually reached to

2.4 + 3.1 =

5.5 = miles already traveled

And then subtract it from the 8 mile trail

8 - 5.5 =

2.5 miles

About 2.5 or 3 miles (rounded to the tenth or whole number?)

4 0

3 years ago