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2 years ago

3.

Mathematics

1 answer:

Aleks [24]2 years ago

3 0

Ruby studied her science test for 1/2 of an hour

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Jamal spent 1 1/2 (1.5) hours studying for his science test ruby studied for 1/3 the amount of time that Jamal studied.

Amount of time ruby studied = (1/3) * (1.5) = 1/2 of an hour

Ruby studied for 1/2 of an hour

Find out more on equation at: brainly.com/question/1214333

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Can u simplify 66/90

vova2212 [387]

Answer:

Step-by-step explanation:22/ 30 just divide by 3

3 0

3 years ago

Read 2 more answers

The probability that a child will learn to swim before age 6 is 0.312. If you take a group of 12 children, what is the probabili

vagabundo [1.1K]

Answer:

The probability of 1 or less children from that group to learn how to swim before 6 years of age is 0.072

Step-by-step explanation:

In this case we need to compute the probability of none of these 12 children learns to swim before 6 years of age. This is given by:

p(0) = (1 - 0.312)^(12) = 0.688^(12) = 0.01124

We now need to calculate the probability that one child learns to swim before 6 years of age.

p(1) = 12*0.312*(1 - 0.312)^(11) = 3.744*(0.688)^(11)

p(1) = 3.744*0.01634

p(1) = 0.0612

The probability of 1 or less children from that group to learn how to swim before 6 years of age is:

p = p(0) + p(1) = 0.01124 + 0.0612 = 0.07244

6 0

3 years ago

Line segment ST is dilated to create line segment S'T' using the dilation rule DQ,2. 25. Point Q is the center of dilation. Line

abruzzese [7]

The distance between points S' and S is x= 2.5 units.

<h2>Given that</h2>

Line segment ST is dilated to create line segment S'T' using the dilation rule DQ 2. 25.

Point Q is the center of dilation.

Line segment ST is dilated to create line segment S prime T prime.

The length of QT is 1. 2 and the length of QS is 2.

The length of SS prime is x and the length of TT prime is 1. 5.

<h3>We have to determine</h3>

What is x, the distance between points S' and S?

<h3>According to the question</h3>

Line segment ST is dilated to create line segment S'T' using the dilation rule DQ, 2.25.

Also, SQ = 2 units, TQ = 1.2 units, TT'=1.5, SS' = x.

Since the line ST is dilated to S'T' with the center of dilation Q, the triangles STQ and S'T'Q must be similar.

We know that the corresponding sides of two similar triangles are proportional.

So, from ΔSTQ and ΔS'T'Q.

$\dfrac{SQ}{S'Q} = \dfrac{TQ}{T'Q}\\
\\
\dfrac{SQ}{SQ+SS} = \dfrac{TQ}{TQ+TT'}\\
\\ 
\dfrac{2}{2+x} = \dfrac{1.2}{1.2+1.5}\\\rm 
\\
\dfrac{2}{2+x} = \dfrac{1.2}{2.7}\\\\ \dfrac{2}{2+x} = \dfrac{12}{27}\\\\2(27) = (2+x) 12\\\\ 54 = 24 + 12x\\
\\
12x = 54-24\\
\\
12x=30\\
\\
x = \dfrac{30}{12}\\
\\
x = 2.5$

Hence, the distance between points S' and S is x= 2.5 units.

To know more about Pythagoras Theorem click the link given below.

brainly.com/question/16016926

5 0

2 years ago

The potential energy of an object varies jointly with the mass of the object and the height of the object off the ground. A 25-k

xxMikexx [17]

Answer:

This is physics. By the way look the explanation.

Step-by-step explanation:

The formula of Potential Energy is E=mgh, where m is the mass of the object, g the gravitational, and h the height of the object. Given that the potential energy of the object is 150 Joules at 3 meters height, Represent m=E/(g*h), considering g=9.8 m/s^2(Because this value was used for the first object), we get m=150/9.8/3=5.102

Rounding to 2 decimals` 5.10 kg

4 0

2 years ago

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Y=3x^2+2x-8 in factored form

Phantasy [73]

Y=(3x-4)(x+2)

x=-2,4/3

7 0

3 years ago