All categories

3 years ago

Select the statement that represents all the solutions of the inequality.

Mathematics

2 answers:

Phantasy [73]3 years ago

4 0

Answer:

D/ all rational numbers less than 7

Step-by-step explanation:

I did de quiz and assingment.

maksim [4K]3 years ago

3 0

Answer:

All rational numbers less than 7

Step-by-step explanation:

You might be interested in

This is Mrs. Galicia’s solution for the equation. Is Mrs. Galicia’s solution correct? Explain in complete sentences also, what a

horrorfan [7]

Given:

Given that Mrs. Galicia’s solution for the equation.

We need to determine whether Mrs. Galicia’s solution is correct or not.

Also, we need to determine the correct solutions.

Mrs. Galicia’s solution:

Step 4: $(x-4)^2=25$

Step 5: $x-4=25$

After step 4, Mrs. Galicia’s did not take square root on both sides to determine the value of x.

Thus, Mrs. Galicia’s made in mistake in step 5, by solving the equation without taking square root on both sides.

Hence, Mrs. Galicia’s solution is wrong.

Correct solutions:

The equation is $x^{2} -8x-9=0$

Solving, we get;

$x^2-8x=9$

Completing the square, we have;

$x^2-8x+16=9+16$

$(x-4)^2=25$

Taking square root on both sides, we get;

$x-4=\pm 5$

Thus, the values of x are given by

$x-4=5$ and $x-4=-5$

$x=9$ and $x=-1$

Thus, the correct solutions are x = 9 and x = -1

6 0

3 years ago

Ignore the comment just look at the pic ‍

Luden [163]

Answer:

7 x 10^-7

Step-by-step explanation:

If you use scientific notation,

move the decimal 7 places to the right to find a whole number between 1 and 9.

then, count the number of spaces.

in this instance, since the original number was a decimal, you need to put a negative power of 10.

hope this helps :)

please crown me brainliest!!!

5 0

3 years ago

A slope of 72 degrees is created by which slope ratio?

Elden [556K]

Answer:

9 and 8 9:8 would be the ratio

Step-by-step explanation: When you multiply 9 times 8 you get 72

7 0

3 years ago

A store has 650 fiction books and 710 nonfiction books. ⅓ of the fiction books are checked out. ⅓ of the nonfiction books are ch

Amanda [17]

Answer:

226 books are due

Step-by-step explanation:

650 divided by 3 equals 216

710 divided by 3 equals 236

216+236=452

452 divided by 2 equals 226

4 0

3 years ago

Read 2 more answers

At a local sandwich shop the average customer spends $25 at dinner with a standard deviation of $2.30. In a simple random sample

oee [108]

Answer:

The probability that the mean receipt for dinner is between $24.50 and $25.50 is

P(24.50≤ x ≤ 25.50)= 0.8324

Step-by-step explanation:

Step(i):-

Given mean of Population(μ) = $25

Given standard deviation of the Population (σ) = 2.30

Sample size 'n' = 40

Let 'X' be the random variable in normal distribution

Given X₁ = 24.50

$Z_{1} =\frac{x-mean}{\frac{S.D}{\sqrt{n} } } = \frac{24.50-25}{\frac{2.30}{\sqrt{40} } } = -1.375$

Given X₂ = 25.50

$Z_{2} =\frac{x-mean}{\frac{S.D}{\sqrt{n} } } = \frac{25.50-25}{\frac{2.30}{\sqrt{40} } } = 1.3751$

Step(ii):-

The probability that the mean receipt for dinner is between $24.50 and $25.50

P(x₁≤ x ≤ x₂) = P(Z₁≤ z ≤ Z₂) = A(Z₂) + A(z₁)

P(24.50≤ x ≤ 25.50) = P(-1.375≤ z ≤ 1.375) = A(1.375) + A(1.375)

P(24.50≤ x ≤ 25.50)= 2 A( 1.375)

= 2 × 0.4162 ( from normal table)

= 0.8324

Final answer:-

The probability that the mean receipt for dinner is between $24.50 and $25.50 is 0.8324

4 0

3 years ago