1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
chubhunter [2.5K]
3 years ago
5

Numbers AMBER 1 Explain how we know V30 lies between 5 and 6.

Mathematics
1 answer:
Anastasy [175]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

5² = 25 and 6² = 36

(\sqrt{30} )² = 30

Then

25 < 30 < 36

Thus \sqrt{30} lies between 5 and 6

You might be interested in
Which of the following is the solution set of x² + 8x + 12 = 0?
raketka [301]

Answer:

\fbox{\begin{minipage}{9em}x = -2 and x = -6\end{minipage}}

Step-by-step explanation:

Given:

x^{2} + 8x + 12 = 0

Solve for:

x

Solution:

Step 1: Select the formula to solve for x

There are some ways to solve quadratic equations.

One of the simple way (if possible) is performing the factorization.

Another way is using the quadratic formula.

Here, we are going to use factorization.

Step 2: Perform factorization

      x^{2} + 8x + 12 = 0

<=>x^{2}  +  2x + 6x  + 12 = 0

<=>(x^{2} + 2x) + (6x + 12) = 0

<=>x(x + 2) + 6(x + 2) = 0

<=>(x + 2)(x + 6) = 0

<=> x = -2 or x = -6

Hope this helps!

:)

4 0
3 years ago
Draw the image of the following triangle after a dilation centered at the origin with a scale factor of 2.
Natasha_Volkova [10]
I really don’t know but I guess 2
5 0
3 years ago
The random variable x has the following probability distribution: x f(x) 0 .25 1 .20 2 .15 3 .30 4 .10 a. Is this probability di
Reptile [31]

Answer and Explanation:

Given : The random variable x has the following probability distribution.

To find :

a. Is this probability distribution valid? Explain and list the requirements for a valid probability distribution.

b. Calculate the expected value of x.

c. Calculate the variance of x.

d. Calculate the standard deviation of x.

Solution :

First we create the table as per requirements,

x      P(x)         xP(x)           x²            x²P(x)

0    0.25           0               0                0

1     0.20        0.20             1              0.20

2    0.15          0.3               4             0.6

3    0.30         0.9               9             2.7

4    0.10          0.4               16             1.6

   ∑P(x)=1     ∑xP(x)=1.8               ∑x²P(x)=5.1

a) To determine that table shows a probability distribution we add up all five probabilities if the sum is 1 then it is a valid distribution.

\sum P(X)=0.25+0.20+0.15+0.30+0.10

\sum P(X)=1

Yes it is a probability distribution.

b) The expected value of x is defined as

E(x)=\sum xP(x)=1.8

c) The variance of x is defined as

V=\sum x^2P(x)-(\sum xP(x))^2\\V=5.1-(1.8)^2\\V=5.1-3.24\\V=1.86

d) The standard deviation of x is  defined as

\sigma=\sqrt{V}

\sigma=\sqrt{1.86}

\sigma=1.136

5 0
3 years ago
URGENT !!!!!!!!!!!! Please answer correctly !!!!!!!!! Will<br> Mark Brianliest !!!!!!!!!!!!!!!!
mina [271]

Answer:

MLH is congruent to JKI

LNK is congruent to HNI

I think that's how you're supposed to answer it...

3 0
3 years ago
A total investment of $10,700 is made into two savings accounts. One account yields 5% simple interest and the other 6% simple i
AlladinOne [14]

Answer:

He earn $535.00 in the 5% account

Step-by-step explanation:

I =  \frac{prt}{100}

I = interest amount

p = $10 700

r = 5%

t = 1 year

I = (10700×5×1)/100

= $535.00

(Correct me if i am wrong)

5 0
3 years ago
Read 2 more answers
Other questions:
  • An artist made purple paint by mixing 1/2 quart of red paint and 3/4 quart of blue paint. What is the ration of red paint to blu
    8·1 answer
  • Analyze the diagram below and complete the instructions that follow.<br> Solve for x.
    15·1 answer
  • The picture shows a triangular island:
    8·2 answers
  • The nth term of a sequence is n squared + 1. Find the 100th term
    11·2 answers
  • Which of the following is true about the US federal government’s ability to borrow money
    14·1 answer
  • Can somebody help me please.​
    8·2 answers
  • Please help with this math problem!
    11·1 answer
  • Find the perimeter of the<br> triangle.<br> 16% + 16) cm<br> (9%-11) cm
    15·1 answer
  • HURRY ONLY HAVE 1 MIN!!!!!!!!!!!!!!!!
    9·1 answer
  • I’ll mark Brainliest
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!