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Nataliya [291]
3 years ago
13

Consider the inequality -5(x+7)<-10 Write an inequality representing the solution for x

Mathematics
1 answer:
Naddik [55]3 years ago
7 0
-5(x+7)<-10
-5x-35<-10
+35. +35
-4x<25
both divided by-4
x> -6.25
i flipped the sign because I divided with a negative number. and I hope you can make -6.25 into a fraction, I can't because I don't have a calculator with me :(
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Felicity the unicorn is in the forest. She is enjoying a delicious melon. A weasel grabs the melon out of her mouth and starts t
pshichka [43]

Answer:

21 animals in the forest

Step-by-step explanation:

The weasel

Felicity

The 19 other animals

Hope this helped

7 0
3 years ago
g A sample of 3 items is chosen at random from a box containing 20 items, out of which 4 are defective. Let X be the number of d
professor190 [17]

Answer:

The variance and standard deviation of <em>X</em> are 0.48 and 0.693 respectively.

The variance and standard deviation of (20 - <em>X</em>) are 0.48 and 0.693 respectively.

Step-by-step explanation:

The variable <em>X</em> is defined as, <em>X</em> = number of defective items in the sample.

In a sample of 20 items there are 4 defective items.

The probability of selecting a defective item is:

P (X)=\frac{4}{20}=0.20

A random sample of <em>n</em> = 3 items are selected at random.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 3 and <em>p </em>= 0.20.

The variance of a Binomial distribution is:

V(X)=np(1-p)

Compute the variance of <em>X</em> as follows:

V(X)=np(1-p)=3\times0.20\times(1-0.20)=0.48

Compute the standard deviation (σ (X)) as follows:

\sigma (X)=\sqrt{V(X)}=\sqrt{0.48}=0.693

Thus, the variance and standard deviation of <em>X</em> are 0.48 and 0.693 respectively.

Now compute the variance of (20 - X) as follows:

V(20-X)=V(20)+V(X)-2Cov(20,X)=0+0.48-0=0.48

Compute the standard deviation of (20 - X) as follows:

\sigma (20-X)=\sqrt{V(20-X)} =\sqrt{0.48}0.693

Thus, the variance and standard deviation of (20 - <em>X</em>) are 0.48 and 0.693 respectively.

3 0
3 years ago
Find the product of 3 1/5 and 1 2/7. Express your answer in simplest form.
nydimaria [60]

Answer:

4\frac{1}{56}

Step-by-step explanation:

3\frac{1}{8} * 1 \frac{2}{7} = 4\frac{1}{56}

4 0
3 years ago
Read 2 more answers
A 65-story office tower has a height of 910 feet. Write an expression to find the height of each story. Then, use the expression
gizmo_the_mogwai [7]
Assuming each story is the same height
910=65 stories put together
910=65 times (height of each story)
910=65h
divide both sides by 65
14=h
each story is 14 feet

the equation is 910=65h
4 0
3 years ago
Read 2 more answers
Is the order pair (2,1) a solution to the equation 4x-2y=5?
torisob [31]

No.

When you insert the numbers you get 8-2=5

This is inaccurate.

Please vote brainliest!

6 0
3 years ago
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