Ask question

Ask question

All categories

2 years ago

9

Write this statement as a conditional statement in the form “if p, then q.”

1 answer:

Nezavi [6.7K]2 years ago

6 0

Answer:

if three points are all located on the same line, then, the points are collier points.

Step-by-step explanation:

the if or p statement is called the hypothesis.

the then or q statement is called the conclusion.

You might be interested in

A box contains 24 transistors,4 of which are defective. If 4 are sold at random,find the following probabilities. i. Exactly 2 a

zavuch27 [327]

SOLUTION

This is a binomial probability. For i, we will apply the Binomial probability formula

i. Exactly 2 are defective

Using the formula, we have

$\begin{gathered} P_x=^nC_x\left(p^x\right?\left(q^{n-x}\right) \\ Where\text{ } \\ P_x=binomial\text{ probability} \\ x=number\text{ of times for a specific outcome with n trials =2} \\ p=\text{ probability of success = }\frac{4}{24}=\frac{1}{6} \\ q=probability\text{ of failure =1-}\frac{1}{6}=\frac{5}{6} \\ ^nC_x=\text{ number of combinations = }^4C_2 \\ n=\text{ number of trials = 4} \end{gathered}$

Note that I made the probability of being defective as the probability of success = p

and probability of none defective as probability of failure = q

Exactly 2 are defective becomes the binomial probability

$\begin{gathered} P_x=^4C_2\times\lparen\frac{1}{6})^2\times\lparen\frac{5}{6})^{4-2} \\ P_x=6\times\frac{1}{36}\times\frac{25}{36} \\ P_x=\frac{25}{216} \\ =0.1157 \end{gathered}$

Hence the answer is 0.1157

(ii) None is defective becomes

$\begin{gathered} \lparen\frac{5}{6})^4=\frac{625}{1296} \\ =0.4823 \end{gathered}$

hence the answer is 0.4823

(iii) All are defective

$\begin{gathered} \lparen\frac{1}{6})^4=\frac{1}{1296} \\ =0.00077 \end{gathered}$

(iv) At least one is defective

This is 1 - probability that none is defective

$\begin{gathered} 1-\lparen\frac{5}{6})^4 \\ =1-\frac{625}{1296} \\ =\frac{671}{1296} \\ =0.5177 \end{gathered}$

Hence the answer is 0.5177

3 0

9 months ago

What is the answer?

rosijanka [135]

Answer: 60

Step-by-step explanation:

It’s an equilateral triangle based on the congruent sides.

4 0

3 years ago

Find the area of a trapezoid with base 1 side = 10 base 2 side = 16 and 3

mart [117]

Answer:

Area of Trapezoid is 39 unit²

Step-by-step explanation:

Given as :

For A Trapezoid

The measure of base side 1 = $b_1$ = 10 unit

The measure of base side 2 = $b_2$ = 16 unit

The height of the Trapezoid = h = 3 unit

Let The Area of Trapezoid = A square unit

<u>Now, From Formula</u>

Area of Trapezoid = $\dfrac{1}{2}$ × (sum of opposite base) × height

I.e A = $\dfrac{1}{2}$ × ( $b_1$ + $b_2$ ) × h

Or, A = $\dfrac{1}{2}$ × (10 unit + 16 unit) × 3 unit

Or, A = $\dfrac{1}{2}$ × (26 unit) × 3 unit

Or, A = $\dfrac{1}{2}$ × 78 unit²

Or, A = $\dfrac{78}{2}$ unit²

I.e A = 39 unit²

So, The Area of Trapezoid = A = 39 unit²

Hence, The Area of Trapezoid is 39 unit² . Answer

6 0

3 years ago

Jol 26, 12:24:35 PM

love history [14]

Answer:

x = 16.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 71 = x /5.7

5.7 tan 71 = x

x=16.55400

Rounding to the nearest tenth

x = 16.6

6 0

2 years ago

A bike path is 6 3/4 miles long. What whole number is closest to 6 3/4?

Naddik [55]

It'll be 7 because 3/4 is greater than 1/2 so you round it up.

3 0

3 years ago