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3 years ago

What is the solution for x in the equation -4x+5x-7=10+3x-2x

1 answer:

4 0

You combined the x’s together then u wanna move all the x’s to one side then after that you would want to do the opposite of -7, so then you add 7 to 10 and then you would divide everything by 2 and get x=8.5

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Jerry is planting white daisies and red tulips in his garden and he wants to choose a pattern in which the tulips surround the d

andre [41]

The borders are shown in the picture attached.

As you can see, starting with border 1, we have 6 daises (white squares) surrounded by 10 tulips (colored squares). Through Jerry's expression we expected:
8(b − 1) + 10 =
8(1 − 1) + 10 =
0 + 10 =
10 tulips.

When considering border 2, we expect:
8(b − 1) + 10 =
8(2 − 1) + 10 =
8 + 10 =
18 tulips.
Indeed, we have the 10 tulips from border 1 and 8 additional tulips, for a total of 18 tulips.

Then, consider border 3, we expect:
8(b − 1) + 10 =
8(3 − 1) + 10 =
16 + 10 =
26 tulips.
Again, this is correct: we have the 10 tulips used in border 1 plus other 16 tulips, for a total of 26.

Therefore, Jerry's expression is correct.

6 0

3 years ago

SOS I'm terrible at math.

Tresset [83]

y = -5 cos x is a basic (simple) variation of the basic trig function y = cos x.

The given y = -5 cos x could be re-written as y = -5 cos 1x.
Compare this to the most general form: y = a cos bx.

Here we see that the coefficient b equals 1.

There is a rule for finding the period of such a function: Period = 2pi/b.

Since b = 1 here, the Period here is 2pi/1, or simply 2pi.

Please stop saying "I'm terrible with math." That does not help you at all. Say, instead, "With just a little help I could understand this just fine."

5 0

3 years ago

Find the value of x in the equation x⁄ 4 + x⁄14 + x⁄17 = 71

Morgarella [4.7K]

Hello from MrBillDoesMath!

Answer:

33769/181

Discussion:

Each term contains "x" so factoring it out gives

x( 1/4 + 1/14 + 1/17) = 71 (*)

Use common factor (17*14*4 = 952) as the denominator to combine terms:

1/4 = (17*14)/ 952 = 238/952

1/14 = (17*4)/952 = 68/952

1/17 = (14*4)/952 = 56/952

so 1/4 + 1/14 + 1/17 = (238 + 68 + 56)/ 952 = 362/952 = 181/476

Substituting in (*) gives

x ( 181/476) = 71 => multiply both sides by 476/181

x = (71 * 476)/181 => 71* 476 =33769

x = 33769/181

Thank you,

MrB

4 0

3 years ago

A manufacturer of computer printers purchases plastic ink cartridges from a vendor. When a large shipment is received, a random

g100num [7]

Answer:

97.4% probability

Step-by-step explanation:

Since there is only two possible outcome of inspecting the catridge : either defective or not, we can solve the problem using the binomial probability distribution (approximated to normal).

To approximate the binomial probability to normal, we find the expected value and the standard deviation of the probability of exactly x sucesses on n repeated trials with p probability

Expected values E(X) = np

Standard deviation √V(X) = √np(1-p)

using the z-score formula (X - μ)/σ, we can solve normally distributed problem.

Where μ is the mean and σ is the standard deviation. The Z-score is is the measure of how much a sample is from the mean. The p-value associated with this z-score which is the probability that the value of the measure is smaller than X can be checked on the z-score table.

FOR THIS QUESTION,

a random sample of 200 cartridges is selected

n = 200

Therefore If there are more than 0.02 × 200 = 4 defective, the sample will be returned.

To determine the approximate probability that a shipment will be returned if the true proportion of defective cartridges in the shipment is 0.05

μ = E(X)

= 0.05 × 200 = 10

σ = √V(X) = √np(1-p)

= √200 × 0.05 × 0.95

= 3.08

This probability is 1 subtracted by the pvalue of Z when X =4

Z = (X - μ)/σ

Z= (4 - 10)/3.08

Z = -1.95

Z = -1.95 has a P-value of 0.026 (on the z-score table)

This means that there is a 1 - 0.026 = 0.974

= 97.4% probability that a shipment will be returned if the true proportion of defective cartridges in the shipment is 0.05.

6 0

3 years ago

Graph the function f(x) = 3x2 - 6x - 4. Make sure you plot at least 3 points on the graph and then list at least 3 points in you

Sloan [31]

Answer:

(0,2)(1,-4)((-1,8)

Step-by-step explanation:

3 0

3 years ago