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3 years ago

Find two consecutive integers whose sum is 123

Mathematics

1 answer:

Helen [10]3 years ago

8 0

I believe it is 61 and 62 I'm not 100% positive tho

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Solve for t -18 = 6t

mihalych1998 [28]

-18 = 6t

Divide both sides by 6

-18/6 =6t/6

-3 = t

t= -3

5 0

1 year ago

Can a triangle have sides with the given lengths? Explain.

Amiraneli [1.4K]

Answer:

Option A.

Step-by-step explanation:

12 cm, 17cm, 25 cm

7 0

2 years ago

A test tube is cylindrical in shape with a length of 152 mm and a radius of 6.5 mm. What is the volume of the test tube? Report

vazorg [7]

Answer:

20165

Step-by-step explanation:

Given:

Length/height (h) of cylindrical test tube = 152 mm

Radius of cylindrical test tube = 6.5 mm

Volume = $\pi r^2h$

Required:

Volume of cylinder to nearest whole number

Solution:

The volume is given as $V = \pi r^2h$

Take π as 3.14 and plug the values of r and h into the volume formula.

$V = 3.14*6.5^2*152$

$V = 3.14*6.5*152 = 20165.08$

Volume of the test tube = 20165 mm³ (nearest whole number)

5 0

3 years ago

From the Pythagorean theorem, what can you inter about<br> the hypotenuse a right triangle?

wolverine [178]

Answer:

Step-by-step explanation:

it is the side that is oppistie of the right angle

6 0

3 years ago

1) Given P(A) = 0.3 and P(B) = 0.5, do the following.

Delicious77 [7]

Answer:

1) a) 0.8

b) 0.6

2) a) 0.08

b) 0.14

Step-by-step explanation:

1) Given

$P(A) = 0.3$ and $P(B) = 0.5$

Let us learn about a formula:

$P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\OR\\P(A\cup B) = P(A) +P(B) -P(A\cap B)$

(a) If A and B are mutually exclusive i.e. no common thing in the two events.

In other words:

$P(A\ and\ B)$ = $P(A \cap B)$ = 0

Using above formula:

$P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\\Rightarrow P(A\ or\ B) = 0.3 + 0.5 -0 = \bold{0.8}$

(b) P(A and B) = 0.2

Using above formula:

$P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\\Rightarrow P(A\ or\ B) = 0.3 + 0.5 -0.2 = \bold{0.6}$

*************************************

1) Given

$P(A) = 0.4$ and $P(B) = 0.2$

Let us learn about a formula:

$P(A\ and\ B) = P(B) \times P(A/B)$ for dependent events

$P(A\ and\ B) = P(A) \times P(B)$ for independent events.

(a) If A and B are independent events :

Using the above formula for independent events:

$P(A\ and\ B) = 0.4 \times 0.2 = \bold{0.08}$

(b) $P(A / B) = 0.7$

Using above formula:

$P(A\ and\ B) = P(B) \times P(A/B) = 0.2 \times 0.7 = \bold{0.14}$

6 0

3 years ago