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2 years ago

For what values of x is the inequality 15≥ 5x true? a. x ≥3, b. x ≤ 3, c. x ≥ 1/3 or d. x≤ 1/3

Mathematics

2 answers:

Ann [662]2 years ago

8 0

Answer:

Step-by-step explanation:

15 ≥ 5x

Divide both sides by 5,

3 ≥ x

Rearranging the inequality,

x ≤ 3

eimsori [14]2 years ago

4 0

Answer:

b. x ≤ 3

Step-by-step explanation:

15 ≥ 5x

15 ÷ 5 ≥ x

3 ≥ x

x ≤ 3

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Conner scored 4,370 points in a game.Amy scored 1,089 fewer points then Conner how many points did Amy scored

statuscvo [17]

SOLUTION:

Connor's score = 4, 370 points

Amy's score = Connor's score - 1, 089

Amy's score = 4, 370 - 1089

Amy's score = 3, 281 points

Therefore, Amy scored 3, 281 points.

Hope this helps! :)
Have a lovely day! <3

3 0

3 years ago

PLEASE RESPOND ASAP!!what is the value of z in the figure below??

Nookie1986 [14]

Answer:

126

Step-by-step explanation:

By cyclic quadrilateral theorem:

$(180 \degree - 85 \degree) = \frac{1}{2} (z \degree + 64 \degree) \\ 95 \degree \times 2 = z \degree + 64 \degree \\ 190 \degree = z \degree + 64 \degree \\ 190 \degree - 64 \degree = z \degree \\ 126\degree = z \degree \\ z = 126$

4 0

2 years ago

A coin bank has 250 coins dimes and quarters worth 39.25 how many of each type of coins are there?

Maurinko [17]

Set up a system of equations.

0.10d + 0.25q = 39.25
d + q = 250

Where 'd' represents the number of dimes, and 'q' represents the number of quarters.

d + q = 250

Subtract 'q' to both sides:

d = -q + 250

Plug in '-q + 250' for 'd' in the 1st equation:

0.10(-q + 250) + 0.25q = 39.25

Distribute 0.10:

-0.10q + 25 + 0.25q = 39.25

Combine like terms:

0.15q + 25 = 39.25

Subtract 25 to both sides:

0.15q = 14.25

Divide 0.15 to both sides:

q = 95

Now plug this into any of the two equations to find 'd':

d + q = 250

d + 95 = 250

Subtract 95 to both sides:

d = 155

So there are 95 quarters and 155 dimes.

8 0

2 years ago

Read 2 more answers

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took these 100 customer

AlladinOne [14]

Answer:

$4-2.326\frac{1}{\sqrt{100}}=3.767$

$4+2.326\frac{1}{\sqrt{100}}=4.233$

So on this case the 98% confidence interval would be given by (3.767;4.233)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=4$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=1$ represent the population standard deviation

n=100 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.01,0,1)".And we see that $z_{\alpha/2}=2.326$