All categories

3 years ago

Which values are solutions to the inequality below? Check all that apply

Mathematics

1 answer:

Fiesta28 [93]3 years ago

7 0

Given inequality:

$\sqrt{x} \leq 7$

To find:

Which values are solutions to the inequality.

Solution:

Substitute the values in the x place.

Option A: 48

$\sqrt{48} \leq 7$

6.9 ≤ 7

Therefore 48 is one solution of the inequality.

It is true.

Option B: -5

$\sqrt{-5} \leq 7$

$\sqrt{5}i \leq 7$

We cannot compare a complex number and a real number.

Therefore -5 is not a solution of the inequality.

it is not true.

Option C: 50

$\sqrt{50} \leq 7$

7.07 > 7

Therefore 50 is not a solution of the inequality.

It is not true.

Option D: 49

$\sqrt{49} \leq 7$

7 ≤ 7

Therefore 49 is one solution of the inequality.

It is true.

Option E: 44

$\sqrt{44} \leq 7$

6.6 ≤ 7

Therefore 44 is one solution of the inequality.

It is true.

Option F: 2401

$\sqrt{2401} \leq 7$

49 > 7

Therefore 2401 is not a solution of the inequality.

It is not true.

Therefore 48, 49 and 44 are solutions to the inequality.

You might be interested in

Minor surgery on horses under field conditions requires a reliable short-term anesthetic producing good muscle relaxation, minim

andreev551 [17]

Answer:

$p_v =P(t_{74}$

If we compare the p value and a significance level for example $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean it's not significantly less than 20 min.

Step-by-step explanation:

Data given and notation

$\bar X=18.81$ represent the average lateral recumbency for the sample

$s=8.4$ represent the sample standard deviation

$n=75$ sample size

$\mu_o =20$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to apply a left tailed test.

What are H0 and Ha for this study?

Null hypothesis: $\mu \geq 20$

Alternative hypothesis : $\mu < 20$

Compute the test statistic

The statistic for this case is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{18.81-20}{\frac{8.4}{\sqrt{75}}}=-1.227$

The degrees of freedom are given by:

$df=n-1=75-1=74$

Give the appropriate conclusion for the test

Since is a one side left tailed test the p value would be:

$p_v =P(t_{74}$

Conclusion

3 0

3 years ago

One card is selected at random from a deck of cards. determine the probability of selecting a card that is less than 99 or a spa

Kitty [74]

Since these events are independent, you add the possibilities

the number of cards less than 9 is 32
the number of spades is 13
there are 52 cards in a deck, so you put those numbers over 52

32/52 + 13/52 = 45/52

the answer is 45/52

8 0

3 years ago

!please help me:( i will give u BRAINLYEST!! Please just help me!!

Oduvanchick [21]

Answer:

Mathematically speaking, both of these are what are called measures. They are ways of getting at the size of something.

The circumference of a circle is a line, which is one-dimensional, which means it has length but zero width. The area of a circle, in contrast, is two-dimensional. This is the essential difference.

The consequence of this is that circumference is measured in units like centrimetres, or inches, or miles. But area is measured in units like square-centimetres, square inches, or square miles.

Is this what you meant?

6 0

3 years ago

Read 2 more answers

A rectangle has a length of

cupoosta [38]

Answer:

Perimeter of the rectangle=16 x

Step-by-step explanation:

Step 1: Determine the dimensions of the rectangle

Width=x

Length=7 x

But;

Step 2: Determine the perimeter of the rectangle

P=2(L+W)

where;

P=perimeter

L=length

W=width

In our case;

P=unknown

W=x

L=7 x

replacing;

2(x+7 x)=2 x+14 x

16 x

Perimeter of the rectangle=16 x

5 0

3 years ago

M/8-15=-12<br> What would m equal??

Ipatiy [6.2K]

Answer:

24?

Step-by-step explanation:

7 0

3 years ago

Which values are solutions to the inequality below? Check all that apply​

Which values are solutions to the inequality below? Check all that apply