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wel
2 years ago
11

Which of the following expressions is equivalent to 12x - 3 + 2x +13

Mathematics
2 answers:
lianna [129]2 years ago
7 0
Answer :

Simplify the expression.

14x+10

Maru [420]2 years ago
4 0

Answer:

Are there multiple choice options? If so, please include them. That way I will actually be able to help you :)

Step-by-step explanation:

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MN and KL are parallel. If JM=9, MK=45, and LN=40, what is NJ?
Lostsunrise [7]

Answer: NJ = 8

Step-by-step explanation:

Given: In triangle JKL , MN is a line segment parallel to KL intersects the other sides into two distinct points at M and N.

The basic proportionality theorem says that a line is parallel to a side of a triangle which intersects the other sides into two different points then the line divides those sides in proportion.

So by basic proportionality theorem we have :-

\frac{JM}{MK}=\frac{NJ}{LN}\\\\\Rightarrow\frac{9}{45}=\frac{NJ}{40}\\\\\Rightarrow NJ=\frac{40}{5}\\\\\Rightarrow NJ=8

6 0
3 years ago
A population has a mean, μ = 89 and a standard deviation,σ = 24.
Cloud [144]

Answer:

\bar X \sim N(\mu=89, \frac{24}{\sqrt{64}}=3)

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Solution to the problem

Let X the random variable of interest for a population. We know from the problem that the distribution for the random variable X is given by:

X\sim N(\mu =89,\sigma =24)

We take a sample of n=64 . That represent the sample size.

The sample mean is defined as:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And if we find the expected value and variance for the sample mean we got:

E(\bar X) = \mu

Var(\bar X) = \frac{\sigma^2}{n}[/tex]

The distribution for the sample mean is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

\bar X \sim N(\mu=89, \frac{24}{\sqrt{64}}=3)

3 0
3 years ago
82.8cm measured to the nearest tenth of a centimetre.
RoseWind [281]

Answer:

82.8 cm measured to the nearest tenth of 80cm.

6 0
2 years ago
Solve for x thanks .
OleMash [197]

Answer:

x = 3.87

Step-by-step explanation:

Using the right angle altitude theorem, we know that all three triangles are congruent, so the lengths of corresponding sides of the triangles are in proportion..

AD/DB = DB/DC

15/x = x/1

x² = 15

x = √15

x = 3.87

8 0
2 years ago
116.PS-9<br> Question Help<br> Find the surface area of the prism.<br> 8 cm<br> 5 cm13cm<br> 12 cm
Ivanshal [37]

Answer:

6,240 cm

Step-by-step explanation:

8 cm x 5 cm x 13 cm x 12 cm = 6,240 cm

8 0
2 years ago
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