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2 years ago

What is the solution for this inequality? 5x ≤ 45

Mathematics

2 answers:

Likurg_2 [28]2 years ago

5 0

Answer:

$x\leq 9$

Step-by-step explanation:

So we have the inequality:

$5x\leq 45$

Divide both sides by 5:

$x\leq 9$

And, we're done!

This means that the solution of the inequality is all values less than or equal to 9.

I hope this helps!

rodikova [14]2 years ago

5 0

Answer:

$x \leq 9$

Step-by-step explanation:

$5x\leq45\\\\\frac{5x\leq45}{5}\\\\ \boxed{x\leq9}$

Hope this helps.

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Let f(x) represent a function.

STatiana [176]

Answer:

For $f(x+\frac{5}{4})$ , $f(x)$ is translated $\frac{5}{4}$ units left.

For $f(x)-\frac{5}{4}$ , $f(x)$ is translated $\frac{5}{4}$ units down.

Step-by-step explanation:

The transformation of $f(x)\rightarrow f(x+C)$ means that the graph shift to left by C units if C is positive number and shifts to right by C units if C is a negative number.

The transformation of $f(x)\rightarrow f(x)+C$ means that the graph shifts up by C units if C is positive number and shifts down by C units if C is a negative number.

Here, in the transformation of $f(x)\rightarrow f(x+\frac{5}{4}),C = \frac{5}{4}>0$ , so, the function translates left by $\frac{5}{4}$ units.

Similarly, in the transformation of $f(x)\rightarrow f(x)-\frac{5}{4},C = -\frac{5}{4}$ , so, the function translates down by $\frac{5}{4}$ units.

3 0

3 years ago

Assume that you have a sample of n 1 equals 6, with the sample mean Upper X overbar 1 equals 50, and a sample standard deviati

tigry1 [53]

Answer:

$t=\frac{(50 -38)-(0)}{7.46\sqrt{\frac{1}{6}+\frac{1}{5}}}=2.656$

$df=6+5-2=9$

$p_v =P(t_{9}>2.656) =0.0131$

Since the p value is higher than the significance level given of 0.01 we don't have enough evidence to conclude that the true mean for group 1 is significantly higher thn the true mean for the group 2.

Step-by-step explanation:

Data given

$n_1 =6$ represent the sample size for group 1

$n_2 =5$ represent the sample size for group 2

$\bar X_1 =50$ represent the sample mean for the group 1

$\bar X_2 =38$ represent the sample mean for the group 2

$s_1=7$ represent the sample standard deviation for group 1

$s_2=8$ represent the sample standard deviation for group 2

System of hypothesis

The system of hypothesis on this case are:

Null hypothesis: $\mu_1 \leq \mu_2$

Alternative hypothesis: $\mu_1 > \mu_2$

We are assuming that the population variances for each group are the same

$\sigma^2_1 =\sigma^2_2 =\sigma^2$

The statistic for this case is given by:

$t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{S_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}$

The pooled variance is:

$S^2_p =\frac{(n_1-1)S^2_1 +(n_2 -1)S^2_2}{n_1 +n_2 -2}$

We can find the pooled variance:

$S^2_p =\frac{(6-1)(7)^2 +(5 -1)(8)^2}{6 +5 -2}=55.67$

And the pooled deviation is:

$S_p=7.46$

The statistic is given by:

$t=\frac{(50 -38)-(0)}{7.46\sqrt{\frac{1}{6}+\frac{1}{5}}}=2.656$

The degrees of freedom are given by:

$df=6+5-2=9$

The p value is given by:

$p_v =P(t_{9}>2.656) =0.0131$

4 0

3 years ago

What is the height, in centimeters, of a rectangular prism that is 80 centimeters wide, 40 centimeters long, and has a volume of

Rainbow [258]

Answer:

The answer to your question is the letter E. 50

Step-by-step explanation:

Data

height = ?

Width = 80 cm

Length = 40 cm

Volume = 160000 cm³

Formula

Volume of a rectangular prism = Width x length x height

Substitution

160000 = 80 x 40 x height

Solve for height

height = 160000 / 80 x 40

Simplification

height = 160000/ 3200

Result

height = 50 cm

4 0

2 years ago

Anyone mind taking the time to help me? Ty?

alekssr [168]

Answer:

Both Lindsay and Sharon are wrong.

Step-by-step explanation:

When Lindsay was doing her problem, she put 100 on the bottom and 45 on the top, when it should have been the other way around.

Sharon would have been correct if she had used the right measuring unit. 2/5 of a milliliter should have been 2/5 of a liter.

6 0

3 years ago

Read 2 more answers

The difference between the acute angles of a right angled triangle is 72degree find them .

MaRussiya [10]

The 2 angles add up to 90 degrees so

x + y = 90, also:-

x - y = 72 (given)

adding the 2 equations:-

2x = 162

x = 81

and therefore

y + 81 = 90

y = 9

Answer the 2 angles are 81 and 9 degrees

5 0

2 years ago