Ask question

Ask question

All categories

2 years ago

13

peter ran 3.4 miles on monday , 2.1 miles on tuesday , 6 miles on wednesday and 1/2 mile on thursday how far did peter run on th

ese four days

1 answer:

alukav5142 [94]2 years ago

8 0

Answer:

12 miles

Step-by-step explanation:

Add em up

:]

You might be interested in

g Suppose a factory production line uses 3 machines, A, B, and C for making bolts. The total output from the line is distributed

Vladimir [108]

Answer:

The probability that it came from A, given that is defective is 0.362.

Step-by-step explanation:

Define the events:

A: The element comes from A.

B: The element comes from B.

C: The element comes from C.

D: The elemens is defective.

We are given that P(A) = 0.25, P(B) = 0.35, P(C) = 0.4. Recall that since the element comes from only one of the machines, if an element is defective, it comes either from A, B or C. Using the probability axioms, we can calculate that

$P(D) = P(A\cap D) + P(B\cap D) + P(C\cap D)$

Recall that given events E,F the conditional probability of E given F is defined as

$P(E|F) = \frac{P(E\cap F)}{P(F)}$ , from where we deduce that

$P(E\cap F) = P(E|F)P(F)$ .

We are given that given that the element is from A, the probability of being defective is 5%. That is P(D|A) =0.05. Using the previous analysis we get that

$P(D) = P(A)P(D|A)+P(B) P(D|B) + P(C)P(D|C) = 0.05\cdot 0.25+0.04\cdot 0.35+0.02\cdot 0.4 = 0.0345$

We are told to calculate P(A|D), then using the formulas we have

$P(A|D) = \frac{P(A\cap D)}{P(D)}= \frac{P(D|A)P(A)}{P(D)}= \frac{0.05\cdot 0.25}{0.0345}= 0.36231884$

3 0

3 years ago

Solve Systems by Substitution<br> 2x+5y=-3<br> x+8y=4<br> and<br> 2x+y=7<br> x-2y=-14

ASHA 777 [7]

2x + 5y = -3 ⇒ 2x +   5y = -3
1x + 8y = 4 ⇒ <u>2x + 16y = 8
</u>     -<u>11y</u> = <u>-11 </u>
      -11   -11
      y = 1
      2x + 5(1) = -3
      2x + 5 = -3
   <u>    -5    -5</u>
      <u>2x</u> = <u>-8</u>
   2 2
      x = -4
      (x, y) = (-4, 1)

2x + 1y = 7    ⇒ 2x + 1y = 7
1x - 2y = -14 ⇒ <u>2x - 4y = -28</u>
         <u>5y</u> = <u>35</u>
      5 5
   y = 7
   2x + 7 = 7
   <u> -7   -7</u>
   <u>2x</u> = <u>0</u>
      2    2
      x = 0
      (x, y) = (0, 7)

4 0

3 years ago

A circular cone has volume 1200 cubic inches and radius 5 inches. What is the height of the cone, to the nearest tenth inch?

asambeis [7]

I multiply 1200 times 5 and yet 6000 because it says what is the height

3 0

3 years ago

In a study of preferences in leafcutter ants, a researcher presented 20 randomly chosen ant colonies with leaves from the two mo

Rufina [12.5K]

Answer:

uyjytyhy

Step-by-step explanation:

tthtyi

tyujftyu

yijy

8 0

3 years ago

If the smallest angle of a triangle is 20° and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest

lawyer [7]

Answer:

$3.5$

Step-by-step explanation:

The smallest side of a triangle is formed by the smallest angle in the triangle.

To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, $c^2=a^2+b^2-ab\cos \gamma$ , where $a$ , $b$ , and $c$ are the three sides of the triangle and $\gamma$ is the angle opposite to $c$ .

Let $c$ be the side opposite to the 20 degree angle.

Assign variables:

$a\implies 4$
$b\implies 7$
$\gamma \implies 20^{\circ}$

Substituting these variables, we get:

$c^2=4^2+7^2-2(4)(7)\cos 20^{\circ},\\c^2=16+49-56\cos 20^{\circ},\\c^2=12.377213236,\\c=\sqrt{12.377213236}=3.51812638147\approx \boxed{3.5}$

Therefore, the shortest side of this triangle is 3.5.

5 0

3 years ago