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fgiga [73]
3 years ago
7

Which numbers belong to the solution set of the inequality?

Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
7 0

Answer:

B.44,50,54,68

Step-by-step explanation:

40+9<78

50+9<78

54+9<78

68+9<78

grandymaker [24]3 years ago
6 0

Answer: B

Step-by-step explanation:

x+9<78 => x< 78-9=> x< 69 => b right

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please help with maths work
prisoha [69]

Given:

In a right angle triangle ABC, \angle B=90^\circ,x=8.7\ m, and \theta = 45^\circ

To find:

The value of AC.

Solution:

In a right angle triangle,

\cos \theta =\dfrac{Adjacent}{Hypotenuse}

\cos \theta =\dfrac{BC}{AC}

\cos (45^\circ) =\dfrac{8.7}{AC}

\dfrac{1}{\sqrt{2}}=\dfrac{8.7}{AC}

On cross multiplication, we get

AC=8.7\times \sqrt{2}

AC=12.30365799

AC\approx 12.304

Therefore, the measure of AC is 12.304 m.

3 0
3 years ago
An experiment was performed to determine whether the annealing temperature of ductile iron affects its tensile strength. Five sp
Tcecarenko [31]

Answer:

There are significant differences among the mean tensile strengths for different temperatures.

Step-by-step explanation:

A one-way ANOVA is used to test whether there is significant difference between the means for more than two groups.

The hypothesis can be defined as follows:

<em>H₀</em>: There is no difference between the means, i.e. \mu_{1}=\mu_{2}=\mu_{3}=\mu_{4}.

<em>Hₐ</em>: There is a significant difference between the means, i.e.at least one of the mean is different.

Use MS-Excel to perform the analysis of variance.

Go to Data → Data Analysis → Anova: Single Factor.

A dialog box will open.

Enter the data and enter Alpha as 0.05.

Press OK.

The output is attached below.

The F-value is, 8.40458.

The <em>p</em>-value of the test is, 0.00139.

Decision Rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

<em>p</em>-value = 0.00139 < <em>α</em> = 0.05

The null hypothesis will be rejected at 5% level of significance.

Concluding that there are differences among the mean tensile strengths for different temperatures.

3 0
3 years ago
2) Tell whether each statement about the expression 5y + 9 is True or False
Snezhnost [94]
True the variable in the expression is y
7 0
3 years ago
Read 2 more answers
Given functions f(x) and g(x):
nadezda [96]

Answer:

5/2

Step-by-step explanation:

f*g = (x+2)(x+1/2) = x^2+5x/2+1

the x term is 5x/2, and the coefficent is 5/2

7 0
3 years ago
Determine if \sqrt{3}
gtnhenbr [62]

Answer:

Irrational

Step-by-step explanation:

The square root of 3 is not a perfect square, therefore it is irrational. Another way you could see if it is rational is if it can be put in a fraction, if it can't, then it is irrational.

8 0
3 years ago
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