Solve the inequality for x. –2x + 3 < –13

Answer:

[tex]x>6[/tex]

Step-by-step explanation:

So we have the inequality:

[tex]-5\sqrt{x-2}<-10[/tex]

Divide both sides by -5. Since we're dividing by a negative, the sign changes:

[tex]\sqrt{x-2} >2[/tex]

Square both sides:

[tex]\sqrt{x-2}^2>2^2\\x-2>4[/tex]

Add two to both sides:

[tex](x-2)+2>4+2\\x>6[/tex]

Therefore, x>6.

However, the expression under the square root cannot be negative. Therefore, there is another inequality. Set the expression under the square root to greater than or equal to 0:

[tex]x-2\geq 0[/tex]

Add 2 to both sides:

[tex]x\geq 2[/tex]

However, previously, we determined that x must be greater than 6. That overrules this, so we will ignore it.

Thus, the answer is:

[tex]x>6[/tex]

So, drag the fourth option onto 6 on the line. This is an open circle and points to the right, so it includes all values greater than 6 not including 6.

Answer:

x > 6

Step-by-step explanation:

Drag the fourth option onto 6 on the line. This is an open circle and points to the right, so it includes all values greater than 6 not including 6.

Answer:

0.40

Step-by-step explanation:

Given the following :

Correlation between monozygotic twins (MZ) = 0.50

Correlation between dizygotic twins (DZ) = 0.30

Heritability Coefficient is obtained by multiplying by 2, the difference between the monozygotic correlation and dizygotic correlation.

Therefore, Heritability coefficient of schizophrenia :

2 × (monozygotic - dizygotic)

2 × (0.50 - 0.30)

2 × (0.20)

= 0.40

Answer:

1) - 6 volts (or 6 volts drop)

2) -22°C  (or 22°C  drop)

Step-by-step explanation:

1. ............................

Initial voltage = -12 volts

Later voltage = - 18 volts

The difference:

2. ............................

Temperature in the chilled vegetable section = 4°C  

Temperature in the frozen fish section = - 18°C  

The difference:

Answer:

48

Step-by-step explanation:

The ages are 18,28,38,48,58,68,78 I don't use 88 bacause the graph don't show any data so there is 88 years old

now lets find the mean

18+28+38+48+58+68+78= 336= 48

7 7

so the mean of the age is 48

i hope u like it

Answer:

2/17

Step-by-step explanation:

Given, [tex] \frac{16}{17} - \frac{14}{17} [/tex], to find the difference, first look for the common denominator of both fractions.

Common denominator of both fractions is 17.

Divide the common denominator by the denominator of each fraction, then multiply the result by its numerator and solve as follows:

[tex] \frac{1(16) - 1(14)}{17} [/tex]

[tex] \frac{16 - 14}{17} [/tex]

[tex] \frac{2}{17} [/tex]

The answer is 2/17

[tex] \frac{16}{17} - \frac{14}{17} [/tex] = 2/17

Each decimal word problem involves multiplication of a whole number with a decimal number. ... These decimal worksheets emphasize decimal multiplication and division. The perfect blend of word problems makes the grade 6 and grade 7 children stronger in performing the multiplication and division operation.

Answer:

The answer is option C.

Answer: 11 yds

Step-by-step explanation: 1 yd=3 ft

Answer:

11 yards is the correct answer

Step-by-step explanation:

a yard = 3 feet

33/3 = 11 yards

Answer:

The equations are:

[tex]T = 2Y[/tex] and [tex]T + 2Y = 15[/tex]

Step-by-step explanation:

Given

Represent bones eaten Today with T and yesterday with Y

Required

Write the equation

In the first statement, we have that:

[tex]T = 2Y[/tex]

Reading further; In the second statement

[tex]T + 2Y = 15[/tex]

Hence, the equations are:

[tex]T = 2Y[/tex] and [tex]T + 2Y = 15[/tex]

Solving further:

Substitute 2Y for  T in the second equation

[tex]2Y + 2Y = 15[/tex]

[tex]4Y = 15[/tex]

Divide both sides by 4

[tex]Y = \frac{15}{4}[/tex]

[tex]Y = 3.75[/tex]

Recall that

[tex]T = 2Y[/tex]

[tex]T= 2 * 3.75[/tex]

[tex]T= 7.5[/tex]

Hey there! The sentence is h + 240 = 18

Answer:

1/4

Step-by-step explanation:

There are 8 possible outcomes

Multiples of 3 are

3,6  = 2 outcomes

P ( multiple of 3) = number of multiples of 3/ total

                            = 2/8

                             = 1/4

The probability of spinning a multiple of 3 The Spinner is 1-8 numbered will be  [tex]P= \dfrac{1}{4}[/tex]

Probability is the extent to which an event is likely to occur, measured by the ratio of the favourable cases to the whole number of cases possible.

There are 8 possible outcomes

Multiples of 3 are

3,6  = 2 outcomes

[tex]\rm P ( multiple \ of\ 3) =\dfrac{ number\ of\ \ multiples\ of\ 3 }{ total }[/tex]  [tex]= \dfrac{2}{8}[/tex]    [tex]= \dfrac{1}{4}[/tex]

Hence the probability of spinning a multiple of 3 The Spinner is 1-8 numbered will be  [tex]P= \dfrac{1}{4}[/tex]

To know more about probability follow

https://brainly.com/question/24756209

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Answer:

r = 6

Step-by-step explanation:

34 = 7r - 8

+8 .       +8  

42 = 7r

__ .  __

7 .     7

6 = r  

Answer:

The number of six non conforming transducers at most =54/60=0.9

The number of fewer than six non conforming transducers =51/60=0.85

The number of at least six non conforming transducers at most =30/60=0.5

d) The center of the histogram is around 2 or 3 and it shows that there is some positive skewness in the data

Step-by-step explanation:

Relative Frequency Frequency       x

6/60=0.1                            6                   0

0.2                                    12                    1

0.2                                   12                     2

0.25                            15                      3

0.1                                    6                       4

0.05                               3                 5

0.05                               3                 6

0.0167                              1                          7

0.033                               2                  8

∑                                    60                  

The number of six non conforming transducers at most

= 6+12+12+15+6+3= 54

The number of six non conforming transducers at most =54/60=0.9

The number of fewer than five non conforming transducers

= 6+12+12+15+6 = 51

The number of fewer than six non conforming transducers =51/60=0.85

The number of at least six non conforming transducers

2+1+3+3+6+15= 30

The number of at least six non conforming transducers at most =30/60=0.5

We plot the histogram by placing the percentages (or relative frequency *100) on the y –axis and the X on the x-axis.

The center of the histogram is given by the mean of the distribution which in this case is = ∑fx/∑f= 161/60= 2.683

So option d is the best answer

d) The center of the histogram is around 2 or 3 and it shows that there is some positive skewness in the data

Because at the center (between 2 and 3) the curve is increasing

Its 1/5.

Parallel lines have the same slope.

Hope this helps.

Answer:

The slope of the green line (and of the red one as well) is:

[tex]\frac{1}{5}[/tex]

Enter it as 1/5 as suggested

Step-by-step explanation:

Recall that parallel lines have the same slope. Therefore we can find the slope of either line and that will be the slope of the other line as well.

So if we use the two point given on the red line: (5,4) and (0,3)

We can find the slope of the segment joining them via the slope equation:

[tex]slope=\frac{4-3}{5-0} =\frac{1}{5}[/tex]

Answer:

14

Step-by-step explanation:

So we have the expression:

[tex]a+bc[/tex]

Substitute 2 for a, 3 for b, and 4 for c:

[tex]=(2)+(3)(4)[/tex]

Multiply:

[tex]=2+12[/tex]

Add:

[tex]=14[/tex]

Answer:

47°

Step-by-step explanation:

Given that m<NLO = 41°, and m<NLM = 88°, according to angle addition postulate, m<OLM + m<NLO = m<NLM

Therefore, subtracting m<NLO from both sides will give us:

m<OLM = m<NLM - m<NLO

m<OLM = 88° - 41°

m<OLM = 47°

Answer:

x = 17

KNM = 131

Step-by-step explanation:

(8x - 5) + (4x - 19) = 180

12x - 24 = 180

12x = 204

x = 17

Answer:

x = 17

Step-by-step explanation:

Opposite Angles must be the Same Value so In other words, 2(8x - 5) + 2(4x - 19) = 360.

2(8x - 5) + 2(4x - 19) = 360

24x - 48 = 360

24x = 408

x = 17

Answer:

C

Step-by-step explanation:

So we have the expression:

[tex]((-3)^2)^3[/tex]

Use the power of a power property, where:

[tex](a^b)^c=a^{b\cdot c}[/tex]

So:

[tex]((-3)^2)^3=(-3)^{2\cdot 3}[/tex]

Simplify:

[tex]=(-3)^6[/tex]

Our answer is C

Answer:

(-3)⁶

Step-by-step explanation:

( (-3)² )³

= (-3)⁽²⁾⁽³⁾

= (-3)⁶

Answer:

[tex] \frac{8}{9}n - 1\frac{1}{3} [/tex]

Step-by-step explanation:

To find the expression that is equivalent to [tex] \frac{4}{9}(2n - 3) [/tex], let's simply as follows:

[tex] \frac{4}{9}(2n) - \frac{4}{9}(3) [/tex] (distributive property of multiplication)

[tex] \frac{4*2n}{9} - \frac{4*3}{9} [/tex]

[tex] \frac{4*2n}{9} - \frac{4*1}{3} [/tex]

[tex] \frac{8n}{9} - \frac{4}{3} [/tex]

[tex] = \frac{8}{9}n - 1\frac{1}{3} [/tex]

[tex] \frac{8}{9}n - 1\frac{1}{3} [/tex] is equivalent to [tex] \frac{4}{9}(2n - 3) [/tex].

The answer is 1.

There is one unique real solution, which is x = -3.

Hello, please consider the following.

[tex]5a^2+30a+45 = 0\\\\<=> 5(a^2+6a+9)=0\\\\<=> a^2+6a+9=0\\\\<=> a^2+2*3*a+3^2=(a+3)^2=0\\\\<=>\boxed{a=-3}[/tex]

Thank you

Answer:

two equal, real solutions

Step-by-step explanation:

The quickest way to determine this is to find the discriminant b^2 - 4ac.  If this determinant (D) is > 0, the quadratic has two different real roots; if + 0, the quadratic has two equal real roots, and if < 0, the quadratic has two imaginary or complex roots.

Here a = 5, b = 30 and c = 45.  The discriminant is

30^2 - 4(5)(45)  =  900 - 900 = 0

and so this quadratic has two equal, real solutions.

Answer:

a) true

Step-by-step explanation:

In case when the interest is compounded on an annually so the amount of money that is accumulated in year 1 would remain the same if there is a simple interest or compound interest situation.

Therefore the given case should be true and hence, the same is to be considered

hence, the correct option is a. true

Step-by-step explanation:

3 - (4m + 1) > 5m - 25

3 - 4m - 1> 5m - 25

3 - 1 +25 > 4m + 5m

27 > 9m

m> 27/9

m> 3

Answer:

0.0792

Step-by-step explanation:

Probability is the likelihood that an event is going to occur. The formula for probability is:

Probability = number of favorable outcomes / total number of outcomes.

Normally in a year there are 365 days and in the month of February there are 28 days but during a leap year there are 366 days in the year and 29 days in the month of February.

Probability that a selected day of a leap year is in February = 29 / 366 = 0.0792

The probability that a selected day of a leap year falls in February is 0.0792

Answer:

  10x -17

Step-by-step explanation:

The perimeter is the sum of the side lengths:

  P = (5x -7) +(3x -4) +(2x -6)

Grouping like terms can make simplification easier:

  P = 5x +3x +2x -7 -4 -6

  P = 10x -17

Answer:

-5

Step-by-step explanation:

think of it on a number line the number furthest to the left is always the smallest and the numbers to the right are bigger

Answer:

-5

Step-by-step explanation:

On a number line, there are negative and positive numbers.

The numbers -2, -4, and -5 are negative (see the little dash sign - ? that's negative).

2 is positive (you see no sign or a plus + before it).

The number line is a good way to learn negative and positive numbers.

go left, and the numbers go smaller

go right and they get bigger

-5 is the smallest since it is the most far left on the number line.

Answer:

(a) The value of P (X = 1, Y = 2) is 0.1583.

(b) The value of P (X + Y = 1) is 0.1055.

Step-by-step explanation:

It is provided that:

[tex]X\sim Bin(n=4,p=0.25)\\\\Y\sim Bin(n=4,p=0.50)[/tex]

The variables X and Y are independent random variables.

The probability mass function of a Binomial distribution is:

[tex]P(U=u)={n\choose u}(p)^{u}(1-p)^{n-u};\ u=0,1,2,3...[/tex]

(a)

Compute the value of P (X = 1, Y = 2) as follows:

[tex]P(X=1,Y=2)=[{n\choose x}(p_{x})^{x}(1-p_{x})^{n-x}]\times [{n\choose y}(p_{y})^{y}(1-p_{y})^{n-y}][/tex]; Independent

                           [tex]=[{4\choose 1}(0.25)^{1}(1-0.25)^{4-1}]\times [{4\choose 2}(0.50)^{2}(1-0.50)^{4-2}]\\\\=0.422\times 0.375\\\\=0.15825\\\\\approx 0.1583[/tex]

Thus, the value of P (X = 1, Y = 2) is 0.1583.

(b)

Compute the value of P (X + Y = 1) as follows:

[tex]P(X+Y=1)=P(X=0,Y=1)+P(X=1,Y=0)[/tex]

                       [tex]=\{[{4\choose 0}(0.25)^{0}(1-0.25)^{4-0}]\times [{4\choose 1}(0.50)^{1}(1-0.50)^{4-1}]\}\\+\{[{4\choose 1}(0.25)^{1}(1-0.25)^{4-1}]\times [{4\choose 0}(0.50)^{0}(1-0.50)^{4-0}]\}\\\\=(0.3164\times 0.25)+(0.422\times0.0625)\\\\=0.0791+0.0264\\\\=0.1055[/tex]

Thus, the value of P (X + Y = 1) is 0.1055.

Answer:

We have this equation:

[tex]x^2 = 169[/tex]

What we do is a square root on both sides, so we get:

[tex]\sqrt{x^2}=\sqrt{169}[/tex]

[tex]x = \sqrt{169}[/tex]

And now, we calculate the square root, remember tehre are always two results when the root index is even:

[tex]\bold{x_1 = 13}[/tex]

[tex]\bold{x_2 = -13}[/tex]

As 13 * 13 = (-13)*(-13)

Answer:

I guess both A and B since they have the same exact answer: ±13

Step-by-step explanation:

The square root of any positive number is both the positive (+) version of the root and the negative (-) version of the root.

169 is a perfect square and its positive square root is 13, but you must also include its negative square root, -13, so the roots of this equation are ±13.

That means both answer choices A and B are correct, since they are exactly the same.

Answer:

146 pounds

Step-by-step explanation:

He starts at 156 pounds.

1st week: He loses 4 pounds, indicating 156 - 4, or 152.

2nd week: He gains 2 pounds, indicating 152 + 2, or 154.

3rd week: He loses 5 pounds, indicating 154 - 5, or 149.

4th week: He loses 3 pounds, indicating 149 - 3, or 146.