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horrorfan [7]
3 years ago
15

On the number line below, show the set of values of x for which –2 < x + 3 ⩽ 4

Mathematics
1 answer:
Jlenok [28]3 years ago
7 0

Answer:

-5 < x ⩽ 1

Step-by-step explanation:

Given the compount inequality

–2 < x + 3 ⩽ 4

Subtract 3 from all the sides

-2-3 < x+ 3 - 3 ⩽ 4 - 3

-5 < x ⩽ 1

This can be expressed as;

-5 <x and x ⩽ 1

x > -5 and x ⩽ 1

Hence the reqiures set of values of x are values from -4 to 1

S ={-4, -3, -2, -1, 0, 1}

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1) What is the solution to x - 5 = 27?
Phoenix [80]
X - 5 = 27

Isolate the x, add 5 to both sides (because of equal sign)

x - 5 = 27
x - 5 (+5) = 27 (+5)
x = 27 + 5
x = 32

x = 32 is your answer

hope this helps
3 0
2 years ago
Pls help urgently extra points and mark brainlist easy reading
Burka [1]

Answer:

Fail :b

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Does cold salty water sink or rise along the ocean floor as deep as a current​
rewona [7]

Answer:

In cold regions, such as the North Atlantic Ocean, ocean water loses heat to the atmosphere and becomes cold and dense. When ocean water freezes, forming sea ice, salt is left behind causing surrounding seawater to become saltier and denser. Dense-cold-salty water sinks to the ocean bottom.

Step-by-step explanation:

7 0
2 years ago
At a financial institution, a fraud detection system identifies suspicious transactions and sends them to a specialist for revie
labwork [276]

Answer:

a. E(X) = 54.4

b. E(X) = 2.5

c. P(Y=2) = .0116

Step-by-step explanation:

a.

    E(X) = np = .40 probability * 136 trials = 54.4 blocked transmissions

    To get the expected value, we simply multiply probability times number of trials. You can look at it in simple terms by thinking if there's a 50% chance of flipping heads and you flip a coin twice, in an ideal world you will have .5*2 = 1 head.

b.

    i. Let X represent the number of suspicious transmissions reviewed until finding the first blocked one. We will use a geometric distribution to model the "first" transmission. Whenever we're looking for the "first" time something happens, we use geometric.

   ii. E(X) = 1/p , according to the geometric model.

              = 1/.4 = 2.5.

       We expect that the specialist will review 2.5 suspicious transactions <em>on average </em>before finding the first transmission that will be blocked.

c.

    i. Let Y represent the exact number of blocked transmissions out of 10. We will use a binomial distribution to model the "fixed" number of transmissions. Whenever we're looking for a "fixed" number of times something happens, we use binomial.

    ii. P(Y=k) = (n choose k)(p^k)(q^n-k)

        P(Y=2) = (¹⁰₂)(.4^2)(.6^10-2)

                    = 45 (.4^2)(.6^10-2) = .0016

        As for calculator notation, the n choose k can be accessed on a TI-84 via MATH -> PRB -> nCr. It looks like 10 nCr 2 on the display.

        Hence the probability that two transactions out of ten will be blocked is .0016 by the binomial model.

5 0
3 years ago
Find the measure of the missing angles. Both of them is wrong. (Picture included)
Ymorist [56]

Answer: you need to add them together then add BAND D to the same expersion

6 0
2 years ago
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