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3 years ago

Eight less a number is less than or equal to seventeen

Mathematics

1 answer:

allsm [11]3 years ago

8 0

Answer:

n ≥ -9

Step-by-step explanation:

Let n = the number

8 less than a number means "n – 8", but

8 less a number means "8 – n," so

8 – n ≤ 17 Subtract 8 from each side

-n ≤ 9 Multiply each side by -1

n ≥ -9

Note: When we multiply by a negative number, we must reverse the inequality.

Check:

Try n = -8.

8 – (-8) ≤ 17

8 + 8 ≤ 17

16 ≤ 17

True.

You might be interested in

Which of the following is false for the hyperbola (x+5)^2/4^2 - (y-2)^2/3^2=1

disa [49]

Answer:

C)One of the vertices is (-10,2)

Step-by-step explanation:

Given the hyperbola: $\dfrac{(x+5)^2}{4^2} -\dfrac{ (y-2)^2}{3^2} =1$

The standard equation for a hyperbola with a horizontal transverse axis is:

$\dfrac{(x-h)^2}{a^2} -\dfrac{ (y-k)^2}{b^2} =1$ where the center is at (h, k).

For our given hyperbola, the center (h,k)=(-5,2)

Now:

$c^2=a^2+b^2\\c^2=4^2+3^2\\c^2=25\\c=5$

Since the center is at (-5,2), its foci (-c,0) and (c,0) are:

(-5-5,2) and (-5+5,2)= (-10,2) and (0,2)

Similarly, since the center is at (-5,2), its vertices, (-a,0) and (a,0) are:

(-5-4,2) and (-5+4,2)= (−9,2), (−1,2).

Therefore, the odd option is C.

3 0

3 years ago

45. Which of the following notations represents the number 0.00432?

Murrr4er [49]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A study is done by a community group in two neighboring colleges to determine which one graduates students with more math classe

stealth61 [152]

Answer:

$t=\frac{(4-3.5)-0}{\sqrt{\frac{1.5^2}{11}+\frac{1^2}{9}}}}=0.890$

The p value for this case would be:

$p_v =P(t_{18}>0.890)=0.193$

The p value is higher than the significance level so then we can conclude that we can FAIL to reject the null hypothesis and then the true mean for group A is not significantly higher than the mean for B

Step-by-step explanation:

Information given

$\bar X_{1}=4$ represent the mean for sample A

$\bar X_{2}=3.5$ represent the mean for sample B

$s_{1}=1.5$ represent the sample standard deviation for A

$s_{2}=1$ represent the sample standard deviation for B

$n_{1}=11$ sample size for the group A

$n_{2}=9$ sample size for the group B

$\alpha=0.1$ Significance level provided

t would represent the statistic

Hypothesis to test

We want to verify if the student who graduates from college A has taken more math classes, on the average, the system of hypothesis would be:

Null hypothesis: $\mu_{1}-\mu_{2} \leq 0$

Alternative hypothesis: $\mu_{1} - \mu_{2}> 0$

The statistic is given by:

$t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}}$ (1)

And the degrees of freedom are given by $df=n_1 +n_2 -2=11+9-2=18$

Replacing we got:

$t=\frac{(4-3.5)-0}{\sqrt{\frac{1.5^2}{11}+\frac{1^2}{9}}}}=0.890$

The p value for this case would be:

$p_v =P(t_{18}>0.890)=0.193$

5 0

4 years ago

Can someone please help me with this question?

xz_007 [3.2K]

Uh oh speggego's im telling teacher lol

3 0

3 years ago

Evaluate the expression -3 times 0.4 to the power of 2 + -1.1 to the power of 3?

Alexxandr [17]

Answer:

idk i have the same question

Step-by-step explanation:

6 0

3 years ago