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MAVERICK [17]
3 years ago
12

Seclect all the sets of numbers that are possible values for x in the inequalit, x > - 8. { -10, -8, -6}. { -8, 0, 8}. { -9,

1, 7}. { -6, -4, -2}​
Mathematics
1 answer:
Sauron [17]3 years ago
4 0

Answer:

{ -6, -4, -2}

Step-by-step explanation:

Since x > - 8, x can be any number greater than - 8.

x = -7, -6, -5, -4,...

BUT, it can't be equal because it's not using this sign \geq

--------------------------------------------------------------------------------

--------------------------------------------------------------------------------

1. { -10, -8, -6} can't be an inequality of x because it has -10, -8.

2.{ -8, 0, 8} can't be an inequality of x because of -8.

3.{ -9, 1, 7} can't be an inequality of x because -9 isn't greater than x.

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Select the correct volume.
kati45 [8]

Answer:

the answer is 10 5. you welcome

4 0
3 years ago
Need help with a math question
ludmilkaskok [199]

Answer:

There are 10 possible ways the student can schedule the three classes

Step-by-step explanation:

The college student is choosing 3 classes to take during the first, second, and third semester from 5 electives.

Therefore, the student is choosing 3 items from a total of 5 and the order is not of key concern here. This is thus a combination problem;

5C3 = 10

read as 5 choose 3

The above mathematical operation can be performed using any modern calculator.

7 0
3 years ago
The NWBC found that 42.1% of women-owned businesses provided retirement plans contributions.
Natasha_Volkova [10]

Answer:

Sample size of 586 or higher.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

What sample size could be 95% confident that the estimated (sample) proportion is within 4 percentage points of the true population proportion?

Sample size of at least n when M = 0.04

42.1% of women-owned businesses provided retirement plans contributions, which means that p = 0.421. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.421*0.579}{n}}

0.04\sqrt{n} = 0.9677

\sqrt{n} = \frac{0.9677}{0.04}

\sqrt{n} = 24.19

\sqrt{n}^{2} = (24.19)^(2)

n = 585.2

We need a sample size of 586 or higher.

3 0
3 years ago
The area of a rectangle is 24 cm² and the perimeter is 22 cm .What is the lenth and width of this rectangle?
oksano4ka [1.4K]

Step-by-step explanation:

length × width = 24

2×length + 2×width = 22

length + width = 11

length = 11 - width

this we use in the first equation again :

(11 - width) × width = 24

11×width - width² = 24

width² - 11×width + 24 = 0

the general solution to an quadratic equation :

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = width

a = 1

b = -11

c = 24

and so we get

width = (11 ± sqrt((-11)² - 4×1×24))/2×1) =

= (11 ± sqrt(11² - 96))/2 = (11 ± sqrt(121-96))/2 =

= (11 ± sqrt(25))/2 = (11 ± 5)/2

width1 = (11 + 5)/2 = 16/2 = 8 cm

width2 = (11 - 5)/2 = 6/2 = 3 cm

and teenaged to this is then

length1 = 11 - width1 = 11 - 8 = 3 cm

length2 = 11 - width2 = 11 - 3 = 8 cm

so, it is clear. one dimension has to be 8 cm, and the other one 3 cm. it does not matter which is which.

5 0
2 years ago
A picnic basket was marked up 95% from an original cost of $9.57. Last Friday, Rosanne bought the picnic basket and paid an addi
Montano1993 [528]

Answer:

$20.15

Step-by-step explanation:

Given data

Original cost =  $9.57

Markup= 95%

Let us find the new cost of the basket

=95/100*9.57

=0.95*9.57

=$9.0915

Hence the cost of the basket is

= 9.57+9.0915

=18.66

Also, the sales tax is 8%

=8/100*18.66

=0.08*18.66

=1.4928

Therefore, the total amount to be paid is

=18.66+1.4928

=$20.15

8 0
3 years ago
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