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romanna [79]
3 years ago
12

Which of the following is an inequality sentence?

Mathematics
2 answers:
marusya05 [52]3 years ago
6 0

Step-by-step explanation:

C.x<5 is an inequality sentence.

ziro4ka [17]3 years ago
3 0

Answer:

C. x

Step-by-step explanation:

  • Option A [x+5=20]tells us that: When we add 5 to a variable x, we get 20. As it has a unique value for x and is completely equal to it(i.e. 15), It is an equality.
  • Option B[x=5] tells us that: A variable x equals to 5. Hence, as x is unique for 5 and is wholly equal to it, it's an equality too.
  • Option C[x tells us that: A variable x isn't 5 but lesser than it. As we cannot equate it to 5, nor we are given the nature of the variable x, it is an Inequality.
  • Option D[x+5] is an expression; It can't be called an equation or an inequality unless we relate it with another expression.

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An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 110 engines
slava [35]

Answer:

we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7 psi

Step-by-step explanation:

Let's first define the hypothesis;

Null hypothesis: H0: μ = 4.7

Alternative hypothesis: Ha: μ ≠ 4.7

We have;

Sample size; n = 110

Sample mean; x¯ = 4.6

Variance: σ² = 0.64

Standard deviation; σ = √0.64 = 0.8

Formula for test statistic is;

z = (x¯ - μ)/(σ/√n)

z = (4.6 - 4.7)/(0.8/√110)

z = -0.1/0.0763

z = -1.31

From online p-value from z-score calculator attached, using; z = -1.31, two tailed hypothesis, significance value of 0.1, we have;

P-value = 0.190196

The p-value is greater than the significance value and thus we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7

σ μ

8 0
2 years ago
Which of the following equations is the translation 2 units left of the graph of y = |x|?
nignag [31]

Answer:

The correct option is 1.

Step-by-step explanation:

The given function is

y=|x|

It is an absolute function. The transformation of function is defined as

y=|x+a|+b

Where, a is horizontal shift and b is vertical shift.

If a>0, then graph shifts a units left, if a<0, then graph shifts a units right.

If b>0, then graph shifts b units up, if b<0, then graph shifts b units down.

If is given that the graph translate 2 units left. Therefore the value of a is 2 and the value of b is 0.

The required function is

y=|x+2|+0

y=|x+2|

Therefore the correct option is 1.

6 0
3 years ago
Convert 255,000 centimeters to kilometer and answer must be in significant figure
monitta

Answer:

25

Step-by-step explanation:

3 0
3 years ago
A momma bird is sitting on the ground. The baby bird in the nest can see her momma at an angle of depression of 54°. If the momm
dmitriy555 [2]

Answer:

  • B. 25 ft

Step-by-step explanation:

<u>We have the following points:</u>

  • B- position of baby bird
  • M- position of momma bird
  • G- base of the tree

<u>Given:</u>

  • GM = 18 feet
  • BG = x
  • m∠BMG = 54°

<u>Find the value of x:</u>

  • x / GM = tan ∠BMG
  • x / 18 = tan 54°
  • x = 18 tan 54°
  • x = 24.77 ≈ 25 ft

Correct choice is B

5 0
3 years ago
Two-step equation<br> 2x+5x=-1<br> What's the answer for x=
xxTIMURxx [149]
-1 / 7 = x

You need to combine the 2x and 5x then devise the 7x from -1
5 0
3 years ago
Read 2 more answers
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