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bija089 [108]
3 years ago
9

8x +144 < 2000 Solve the in equation and graph

Mathematics
1 answer:
avanturin [10]3 years ago
7 0

Answer:

8x + 144 < 2000

-144

8x < 1856

- ------

8 8

x < 232

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Answer: nah

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
a square figure with side 4 ft has a semicircle with radius 2ft at the top what is the perimeter of the figure ? what formula sh
andreyandreev [35.5K]

Answer:

~18.28 ft. / 12 + 2π ft. (Read explanation please!)

Step-by-step explanation:

<u>I) Find the square's perimeter:</u>

Obviously, a square's perimeter is its side length x 4. However, there would be a semicircle on top of it. So, to find it we use:

4 x 3 = 16 ft. (Since 1 of the sides is covered by the semicircle)

<u>II) Find the semicircle's perimeter:</u>

Finding the semicircle's perimeter is a bit more complicated, but no worries! We can use this formula:

<em>πr + 2r (pi x radius + radius x 2)</em>

But WAIT: We need to make sure we remove that one side of the square we mentioned earlier. So we would use:

<em>πr (pi x radius)</em>

In terms of π, the perimeter would be:

<em>2π = 2π ft.</em>

Or, if you used a standard approximation of π, let's say 3.14, it would be:

<em>2(3.14) = ~6.28 ft.</em>

<u>III) Add them up:</u>

If we wanted to state the total perimeter using 3.14 as π, we would say the formula is:

2(3.14) + 4(3) = 18.28 ft.

Or in terms of π:

2π + 4(3) = 12 + 2π ft.

6 0
3 years ago
Coli bacteria double in population every thirty minutes. The initial population is 85. What is the population after three hours?
vodka [1.7K]
After 3 hours: 5,440
after a day: 23,925,400,000,000,000
8 0
3 years ago
If BC = 3x, CD = 7x, and BD = 10, what is BC?
blsea [12.9K]

Answer:

BC= 3

Step-by-step explanation:

Suppose a line BD is 10 and it has a point C somewhere on the  line. It is given that BC is  3times and CD is 7 times  or algebraically  if we take x as a variable then according to the given information

BC+ CD= BD

3x+ 7x= 10

10x= 10

x= 10/10

x= 1

3x would give 3 (1)= 3

Hence the Line BC = 3

and the line CD= 7

5 0
3 years ago
A psychology professor assigns letter grades on a test according to the following scheme. A: Top 7% of scores B: Scores below th
NISA [10]

Answer:

The minimum score required for an A grade is 89.8.

Step-by-step explanation:

We are given that a psychology professor assigns letter grades on a test according to the following scheme. A : Top 7% of scores. B : Scores below the top 7% and above the bottom 64%. C : Scores below the top 36% and above the bottom 25%. D : Scores below the top 75% and above the bottom 6%. F : Bottom 6% of scores.

Scores on the test are normally distributed with a mean of 78.4 and a standard deviation of 7.6.

<u><em>Let X = Scores on the test</em></u>

SO, X ~ Normal(\mu=78.4,\sigma^{2} =7.6^{2})

The z-score probability distribution for normal distribution is given by;

                              Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = mean time = 78.4

            \sigma = standard deviation = 7.6

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, the minimum score required for an A grade so that it represents Top 7% of scores is given by;

      P(X \geq x) = 0.07   {where x is the required minimum score

      P( \frac{X-\mu}{\sigma} \geq \frac{x-78.4}{7.6} ) = 0.07

       P(Z \geq \frac{x-78.4}{7.6} ) = 0.07

<em>So, the critical value of x in the z table which represents the top 7% of the area is given as 1.4996, that is;</em>

                        \frac{x-78.4}{7.6} =1.4996

                        {x-78.4}{} =1.4996\times 7.6

                        x  = 78.4 + 11.39696 = <u>89.8 or 90</u>

Hence, the minimum score required for an A grade is 89.8.

8 0
3 years ago
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