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2 years ago

X + 4 < 8 HELP please

Mathematics

1 answer:

labwork [276]2 years ago

5 0

Answer:

x + 4 < 8

- 4 -4

x < 4

Step-by-step explanation:

So, Basically anything less than 4 is a solution for this equation.

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In the figure below AB is a diameter of circle P. What is the arc measure of minor arc AC in degrees?

arlik [135]

Answer:

$P = 139$

Step-by-step explanation:

See attachment for complete question

Required

Determine measure of Arc length AC

The interpretation of this question is to find P

If AB is the diameter, then

$P + 41 = 180$

$P + 41 - 41= 180 - 41$

$P = 139$

<em>Hence, the measure is 139 degrees</em>

3 0

3 years ago

(3x+2)∧2=9 how do i solve this in the square root property

Irina18 [472]

$(3x+2)^2=9 \\\\9x^2+12x+4-9=0\\\\9x^2+12x-5=0\\\\a=9,\ \ b=12, \ \ c=-5$

$x_{1}=\frac{-b-\sqrt{b^2-4ac}}{2a}=\frac{-12-\sqrt{12^2-4 \cdot9 \cdot (-5)}}{2 \cdot 9}=\frac{-12-\sqrt{144+180}}{18}=\\\\=\frac{-12-\sqrt{324}}{18}=\frac{-12-18}{18}=\frac{-30}{18}=-\frac{5}{3}\\\\x_{2}=\frac{-b+\sqrt{b^2-4ac}}{2a}=\frac{-12+\sqrt{12^2-4 \cdot9 \cdot (-5)}}{2 \cdot 9}=\frac{-12+18}{18}=\frac{6}{18}=\frac{1}{3} \\\\Answer: \ x=-\frac{5}{3}\ \ and \ \ x=\frac{1}{3}$

6 0

3 years ago

An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equa

Setler [38]

Answer:

b=0.5 in

b=2 in

Step-by-step explanation:

we know that

The perimeter of triangle is equal to

$2a+b=15$

Solve for a

$a=\frac{15-b}{2}$ -----> equation A

Applying the Triangle Inequality Theorem

a+a > b

2a > b -----> inequality B

<u>Verify each case</u>

case 1) b=-2 in

This value not make sense, the length side cannot be a negative number

case 2) b=0 in

This value not make sense

case 3) b=0.5 in

substitute the value of b in the equation A and solve for a

$a=\frac{15-0.5}{2}=7.25\ in$

substitute the values of b and a in the inequality B

2a > b

2(7.25) > 0.5

14.50 > 0.5 -----> is true

therefore

b=0.5 in make sense for possible values of b

case 4) b=2 in

substitute the value of b in the equation A and solve for a

$a=\frac{15-2}{2}=6.5\ in$

substitute the values of b and a in the inequality B

2a > b

2(6.5) > 2

13 > 2 -----> is true

therefore

b=2 in make sense for possible values of b

case 5) b=7.9 in

substitute the value of b in the equation A and solve for a

$a=\frac{15-7.9}{2}=3.55\ in$

substitute the values of b and a in the inequality B

2a > b

2(3.55) >7.9

7.1 > 7.9 -----> is not true

therefore

b=7.9 in not make sense for possible values of b

5 0

3 years ago

Read 2 more answers

From a barrel of colored marbles, you randomly select 3 blue, 2 yellow, 7 red, 8 green, and 2 purple marbles. Find the experimen

svet-max [94.6K]

My guess is D. Not for sure though.

3 0

3 years ago

Read 2 more answers

Need help

aleksandr82 [10.1K]

Using the normal distribution, the probabilities are given as follows:

a. 0.4602 = 46.02%.

b. 0.281 = 28.1%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

The parameters are given as follows:

$\mu = 959, \sigma = 263, n = 37, s = \frac{263}{\sqrt{37}} = 43.24$

Item a:

The probability is <u>one subtracted by the p-value of Z when X = 984</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{984 - 959}{263}$

Z = 0.1

Z = 0.1 has a p-value of 0.5398.

1 - 0.5398 = 0.4602.

Item b:

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem:

$Z = \frac{X - \mu}{s}$

$Z = \frac{984 - 959}{43.24}$

Z = 0.58

Z = 0.58 has a p-value of 0.7190.

1 - 0.719 = 0.281.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

8 0

2 years ago