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3 years ago

Solve the inequality -8x < 32

Mathematics

2 answers:

slava [35]3 years ago

8 0

Step-by-step explanation:

divide the both sides by -8

$x > - 4$

you have to change the sign of inequality because you have divided by negative number

deff fn [24]3 years ago

4 0

Answer:

x>-4

Step-by-step explanation:

-8x<32 - First isolate the x by dividing both sides by -8

-8x/-8<32/-8

x>-4

<h2>When you divide or multiply by a negative the inequality sign flips.</h2>

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A literature professor decides to give a 10-questiontrue-false quiz to determine who has read an as-signed novel. She wants to c

Darya [45]

Answer:

The teacher should set the score 7 as the lowest passing grade.

Step-by-step explanation:

Let X = number of correct guesses.

All the questions are of true-false format.

The probability of getting a correct answer is, p = 0.50.

The total number of questions is, n = 10.

The random variable X follows a Binomial distribution with parameters n = 10 and p = 0.50.

The probability mass function of X is:

$P(X=x)={10\chose x}0.50^{x}(1-0.50)^{10-x};\ x=0,1,2,3...$

Now the teaches chose the grading scheme such that the probability of passing a student who guesses on every question is less than 0.05.

Then the probability of failing such a students is at least 1 - 0.05 = 0.95.

Compute the probability distribution of X.

Consider the probability distribution attached below.

The value of x for which P (X ≤ x) is at least 0.95 is, x = 7.

So the teacher should set the score 7 as the lowest passing grade.

7 0

3 years ago

Write the subtraction expression as an equivalent addition expression and then evaluate it.

solniwko [45]

The subtraction expression is solved to get -27 gives while the equivalent addition expression is -65 + 35 evaluating gives -47

<h3>What is subtraction and addition?</h3>

Subtraction refers taking away a value from a certain value while addition implies increasing a value by a certain value

Given data

-15 - 12

solving we have

-15 - 12 = -27

equivalent addition

-62 + 35

evaluating the equivalent addition

-65 + 35 = --27

Read more on addition and subtraction here: brainly.com/question/4721701

#SPJ1

4 0

2 years ago

Segment AB is rotated to form A'B'¯¯¯¯¯¯¯ . The coordinates of point A are (1, 5) and the coordinates of point B are (−6, 4)

dem82 [27]

It is rotated 180 degrees, and it doesn't matter wether clockwise or counterclockwise. 180 degrees results in the same thing both ways

6 0

3 years ago

Read 2 more answers

determine whether each statement is always, sometimes, or never true. an absolute value function of the form f(x)=/x+a/+b has ex

Ksivusya [100]

Answer-

The statement that f(x) = |x+a| + b has exactly one x-intercept is sometimes correct.

Solution-

It solely depends on b, whether the function will have one or two or zero x intercept.

This plot of the given function, f(x) = |x+a| + b will be the basic absolute value graph i.e V shape, with vertex translated to (-a, b), instead of origin.

1- If b is zero, the graph will have exactly one x-intercept, at x= -a

2- If b is positive, the whole graph will be above the x-axis, hence it will have no x-intercepts.

3- If b is negative, the graph will be below the x-axis, hence it will have two x-intercepts.

∴ The statement is sometimes true.

4 0

4 years ago

2. An empty ice cream cone has a height of 3.02 inches and a radius

ololo11 [35]

Answer:

Approximate volume of ice cream = 3.03 inches

Step-by-step explanation:

Given - An empty ice cream cone has a height of 3.02 inches and a radius

of 0.98 inches.

To find - What is the approximate volume of ice cream it will hold within the cone ?

Proof -

We know that,

Volume of the cone = $\frac{1}{3}\pi r^{2}h$

where

r is the radius of the cone

h is the height of the cone

Here,

Given that,

r = 0.98 inches

h = 3.02 inches

So,

Volume = $\frac{1}{3}\pi r^{2}h$

= $\frac{1}{3}(3.14) (0.98)^{2}(3.02)$ ( Consider the value of $\pi$ = 3.14)

= 3.0373

∴ we get

Approximate volume of ice cream = 3.03 inches

So,

The correct option is - G. 3 in 3

8 0

3 years ago