Find the value of x please.

Probability that -2.51 < z < -1.53 = 0.057

Given that z is a standard normal random variable. Then the z - values are given by the area under standard normal curve. It can be found from the standard normal tables.

Now probability that  -2.51 < z < -1.53  = P( -2.51 < z < -1.53 )

                                                               = P( -2.51 < z < 0 ) - P( -1.53 < z < 0 )

                                                               = P( 0 < z < 2.51) - P( 0 < z < 1.53 ) [Since areas are equal for same positive and negative values]

P( 0 < z < 2.51) = 0.4940

P( 0 < z < 1.53) = 0.4370  

[From the normal tables]

Therefore, Probability that -2.51 < z < -1.53 = 0.4940 - 0.4370  = 0.057

Learn more about standard normal random variable at https://brainly.com/question/26430051

#SPJ4

It will take Joe 738.3 seconds (12.3 minutes) to climb from street level to the roof of the sears tower.

To find how long will it take joe to climb from street level to the roof of the sears tower:

Therefore, it will take Joe 738.3 seconds (12.3 minutes) to climb from street level to the roof of the sears tower.

Know more about speed here:

https://brainly.com/question/13943409

#SPJ4

It is realistic that 3 owners spend $720 a year on their graph

Given that

To find

So, according to the question

We can say that,

3 owners are present and,

A pet's annual cost is $720.

So, the option C (Yes, it is realistic that 3 owners spend $720 a year on their pet(s) ) is correct explanation of it.

Because no fractional value can represent the number of owners. Therefore, having 7.2 owners is not feasible and other options showing only one value. So A, B, and D are wrong answer.

To learn more about graph please click on the link:

https://brainly.com/question/13210568

#SPJ9

Answer: The orthocenter and varicenter  of an equilateral triangle are the same point?

Step-by-step explanation

Answer: De nuevo, puedes ver que el baricentro, el ortocentro y el circuncentro son todos el mismo punto para un triángulo equilátero. Tenemos un centro más para comparar, el incentro. Como habrás sospechado, el incentro es el mismo punto que los otros tres para un triángulo equilátero.

Step-by-step explanation:

Answer:

A set is well-defined so that we can always tell what is and what is not a member of the set

Answer: Human calculator says 21 x 21 = 441!

Good Luck!

Answer:

243

Step-by-step explanation:

3 to the power of 5

3 x 3 x 3 x 3 x 3

3 x 3 = 9 x 3 = 27 x 3 = 81 x 3 = 243

The amount of 5% lemon juice mixture and 20% lemon juice mixture that needed to be mixed is 14 liters and 28 liters, respectively.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the amount of 5% lemon juice mixture that is needed to be mixed be represented by x, then the amount of 20% lemon juice mixture will be represented by (42-x), because the total mixture is needed to be 42 liters.

Now, given that George wants 42 liters of a mixture of water and 15% lemon juice with a mixture of 5% lemon juice, and a mixture of 20% lemon juice. Therefore, we can write,

5% of x + 20% of (42-x) = 15% of 42 liters

0.05x + 0.2(42 - x) = (0.15×42)

0.05x + 8.4 - 0.2x = 6.3

0.05x - 0.2x = 6.3 - 8.4

-0.15x = -2.1

x = -2.1 / -0.15

x = 14

Further, the amount of mixture of lemon juice that is needed to be mixed can be written as,

Hence, the amount of 5% lemon juice mixture and 20% lemon juice mixture that needed to be mixed is 14 liters and 28 liters, respectively.

Learn more about Percentages here:

https://brainly.com/question/6972121

#SPJ4

The simplification of the given expression using laws of Indices is; y³z⁷

We want to simplify the expression y raised to the negative second power times z raised to the third power end quantity over quantity z raised to the negative fourth power times y raised to the fifth power end quantity all raised to the negative second power.

The above can be expressed as;

(y⁻² * z³)/(z⁻⁴ * y⁵)

Collecting like terms gives;

(y⁻²/y⁵) * (z³/z⁻⁴)

= y⁻² ⁺ ⁵ * z³ ⁺ ⁴

= y³z⁷

Read more about Laws of Indices at; https://brainly.com/question/10339517

#SPJ1

Answer:

y^18/z^18

Step-by-step explanation:

Answer:

2. D, E, and F

Step-by-step explanation:

Points lie on the same straight line also called euclidean geometry.

A scaled-down version of parallelogram is parallelogram be. What does w equal for U

X has a value of 4.

Line BC and line AD are parallel in the picture that was submitted, and segment 15 is the midpoint.

The Midsegment TrapezoidTheorem states that a line going through the midpoint of a trapezoid leg, parallel to both bases, will also go through the midpoint of the other leg

The formula for calculating a trapezoid's midsegment is as follows:

As a result, x has a value of 4.

A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.

To learn more about trapezoid,

Visit : https://brainly.com/question/20374834

#SPJ9

Answer: 2x+9>17 or  5x+10<10 compound inequalities is x<0

Step-by-step explanation:

What is Meant by Compound Inequality?

In Mathematics, a compound inequality is a sentence which has two statements connected using the word “and” or by the word “or”. If the statements are connected using the word “and”, then both the statements of the compound sentence are true at the same time. If the statements are connected using “or”, then the compound sentence is true if at least one statement is true.

2x+9>17 or  5x+10<10

Let take 2x+9>17

Subtract -9 on both sides

2x+9-9>17-9

2x+0>8

2x>8

Now we need to divide by 2 both sides

2x÷2>8÷2

x>4

Now we solve 5x+10<10

we need to subtract -10 on both side

5x+10-10<10-10

5x+0<0

5x<0

Now we need to divide  5 on both sides

5x÷5<0÷5

x<0

Learn more about area here https://brainly.in/question/19328677

#SPJ9

0<x>4

the value of x lies between 0 and 4.

A compound inequality is an inequality that combines two simple inequalities. A compound inequality is made up of two inequalities connected by the word “and” or the word “or.” To solve a compound inequality means to find all values of the variable that make the compound inequality a true statement.

lets take 2x+9>17

now lets subtract 9 from both sides.

2x + 9 > 17

     - 9 > -9

2x > 8

now divide both sides by 2

2x ÷ 2 > 8 ÷ 2

x > 4

lets take the second part i.e 5x +10 <10

substract 10 from both sides

5x + 10 < 10

     - 10 < -10

5x < 0

now divide both sides by 5

5x ÷ 5< 0 ÷ 5

x < 0

0<x>4

the value of x lies between 0 and 4.

To learn more about compound inequalities visit,  brainly.com/question/28578031

#SPJ9

The value of AB in the geometry is 24 units.

According to the diagram,

BD ≅ BC

BD = 5x - 26

BC = 2x + 1

AC = 43

Therefore, the value of AB can be found using the knowledge of geometry.

BD = BC

5x - 26 = 2x + 1

5x  - 2x = 1 + 26

3x = 27

divide both sides by 3

x = 27 / 3

x = 9

Therefore,

BC = 2x + 1 = 2(9) + 1 = 18 + 1 = 19

AC = BC + AB

AB = AC - BC

AB = 43 - 19

AB = 24 units

learn more on Geometry here: https://brainly.com/question/17432787

#SPJ1

Answer:

All the lines (A,B,C) are perpendicular because they are all intersecting at a 90 degree angle.

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answers are in bold

======================================================

Explanation:

The x is a placeholder for a number.

When we say f(5), we mean f(x) when x = 5

So we'll replace every copy of x with 5 like so...

[tex]f(\text{x}) = -3\text{x}^2 - 2\\\\f(5) = -3(5)^2 - 2\\\\f(5) = -3(25) - 2\\\\f(5) = -75 - 2\\\\f(5) = -77\\\\[/tex]

Notice how I used the order of operations PEMDAS after x = 5 was plugged in.

A similar situation happens with g(-4). We'll plug x = -4 into g(x) to get the following:

[tex]g(\text{x}) = 2\text{x} +4\\\\g(-4) = 2(-4) +4\\\\g(-4) = -8 +4\\\\g(-4) = -4\\\\[/tex]

You can use a graphing calculator or graphing software (eg: Desmos or GeoGebra) to confirm these answers quickly.

Answer:

B

Step-by-step explanation:

5x + 4y >= 2

4y >= -5x + 2

y >= -5/4x + 1/2

Since the equation is >=, everything on or above the line y = -5/4x + 1/2 should be shaded.

Answer:

16

Step-by-step explanation:

x=-3

g(x)=4(-4(-3)-8)

g(x)=4(4)

g(x)=16

There are 98.4252 inches in 2.50m.

Unit Conversion is defined as a process that involves multiplication and division by a numerical factor or a particular conversion factor.

For Example .Convert 2m into cm.

As we know that 1m=100cm

multiplying both sides by 2 we get

2m = 200 cm.

According to the question

It is given that 2.54 cm = 1 inch

[tex]1cm = \frac{1}{2.54} inch[/tex]

[tex]100cm=\frac{100}{254} inch[/tex]

[tex]1m = \frac{100}{2.54}[/tex] ( as 100cm = 1m)

we need 2.50 m So we multiply both sides by 2.50

[tex]2.50m=\frac{2.50*100}{2.54} \\\\ 2.50m=\frac{250}{2.54}[/tex]

[tex]2.50m=98.4252 inch[/tex]

Therefore , there are 98.4252 inches in 2.50m.

Learn more about Unit Conversion here https://brainly.com/question/14523259

#SPJ4

Apply the definition of linear pair, the measure of angle 1 is calculated as: 33°.

If two angles are a linear pair, then, the sum of their angle measures equal 180 degrees.

We are given that angle 1 and angle 2 are a linear pair. This means that:

Measure of angle 1 + measure of angle 2 = 180

Measure of angle 1 = x

Measure of angle 2 = 5x - 18

Substitute

x + 5x - 18 = 180

6x - 18 = 180

6x = 180 + 18

6x = 198

6x/6 = 198/6

x = 33

Measure of angle 1 = x = 33°.

Learn more about the linear pair on:

https://brainly.com/question/13218054

#SPJ1

The value of x is 7.6cm and the sides of the triangle are 19cm, 22.8cm and 18.2cm

Perimeter of triangle

The perimeter of a triangle is defined as the total length of its boundary.

The formula for the perimeter of a scalene triangle is

Perimeter = a + b + c,

where

"a", "b", and "c" are the three different sides.

Given,

A triangle has sides measuring 2.5x cm, 3x cm, and (2x+3) cm.

The perimeter measures 60 cm.

Here we need to find the value of x and the sides of the triangle.

Let the values of

a = 2.5x cm

b = 3x cm

and

c = (2x+3) cm

Then,

Apply the values on the formula for perimeter,

Then we get,

=> P = (2.5x) + (3x) + (2x +3)

=> P = 7.5x + 3

Now, apply the value of perimeter,

As P= 60,

Then.

=> 60 =  7.5x + 3

=> 7.5x = 60 - 3

=> 7.5x = 57

=> x = 57/7.5

=> x = 7.6

So, the sides of the triangle are,

a = 2.5x => 2.5 (7.6) = 19

b = 3x => 3(7.6) = 22.8

c = (2x+3) => 2(7.6) +3 = 15.2 + 3 = 18.2

Therefore, the sides of the triangle are 19, 22.8 and 18.2.

To know more about Perimeter of triangle here.

https://brainly.com/question/23935199

#SPJ4

The required GCF is 8.

The greatest common factor is that greatest number from the factors which divides the number completely.

For example take numbers 12 and 16.

The factors of 12 are 2×2×3.

And the factors of 16 are 2×2×2×2.

We can clearly see that the common factors are 2×2 which gives 4. So, 4 is the greatest common factor which divides both 12 and 16.

Here it is given to find the greatest common factor of 16 and 40.

Factors of 16 = 2×2×2×2

Factors of 40 = 2×2×2×5

We can see clearly the common factors are 2×2×2 which gives 8.

So, 8 is the greatest common factor.

To learn more about the factors visit the link :

https://brainly.com/question/24182713

#SPJ9

Answer:

the answer is 3 and 9. 9 is 6 greater than 3 and 9 squared and 3 squared added up give you 90.

Answer:

16cm

Step-by-step explanation:

The area of a 2d figure is w x h. We know the area, a, is 80cm^2, the height, h, is 5, and the width, w, is 2x + 8.

Since we are solving for x, we want to isolate the variable.

5 x 2x + 8 = 80
80/5 = 2x + 8

We can now solve for x.

80/5 = 2x + 8
16 = 2x + 8
16 - 8 = 2x + 8 - 8
8 = 2x
8/2 = 2x/2
4 = x

We aren't done, we still need to solve for w, where we now know x = 4

w = 2x + 8
w = 2(4) + 8
w = 8 + 8
w = 16

The simplest expression that represents the total number of beads in her bracelet design is 2b + 7.

Expression:

An expression is the  sentence with a minimum of two numbers or variables and at least one math operation.

This math operation can be addition, subtraction, multiplication, or division.

The structure of an expression is:

Expression = (Number/variable, Math Operator, Number/variable)

Given,

Jewelry Marena is using a certain number of blue beads in a bracelet

design. she will use 7 more red beads than blue beads.

Here we need to write an expression in simplest form that represents the total number of beads in her bracelet design.

Assign a variable for the unknown value.

Let b be the number of blue beads for the bracelet.

The number of red beads will be represented as b + 7.

Determine the expression for the total number of beads.

Then we can written it as,

=> b + (b +7)

=> 2b + 7.

Therefore, the total number of beads can be written as 2b + 7.

To know more about Expression here.

https://brainly.com/question/14083225

#SPJ4

Answer:

None

Step-by-step explanation:

[tex]3b+4-3b=10+3b-3b\\4=10\\\sf Sides\:unbalanced.[/tex]

It is true that the sample mean and the sample standard deviation remain unaffected.

Mean is the average of the given data.

According to the given question when each entry is multiplied by a constant k each term will k times of the previous term.

Suppose we have 3 terms x, y, z.We know that their mean will the middle term as there are odd number of terms which is y.

Now if we multiply each term by a constant k the terms will be kx, ky, kz and the middle term is ky.

As each term is multiplied by k we have divide by k which is

= ky/k

= y.

So from both the results we can observe that the mean and the standard deviation remains same.

learn more about mean here :

https://brainly.com/question/15829822

#SPJ4

Answer:

123

Step-by-step explanation:

supplementary angles add up to 180

(5x - 22) + (x + 28) = 180

5x - 22 + x + 28 = 180

6x + 6 = 180

6x = 180 - 6

6x = 174

x = 174/6

x = 29

<A = 5x - 22 = 5(29) - 22 = 123

The inequality that depicts when Gilberta has much more wallpaper left throughout her room than Mara does in hers using linear functions is:

t< 5.

A linear function has a straight line as its graph. The following is the form of a linear function. a + bx = y = f(x). One independent variable but one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.

Following t hours, the quantities Gilberta and Maria have remaining are determined by:

G(t) = 35 - 4.3t.

M(t) = 30.5 - 3.4t.

Gilberta has more papers when:

G(t) > M(t).

So,

35 - 4.3t > 30.5 - 3.4t

-0.9t < -4.5

Multiplying by -1:

0.9t < 4.5

t < 4.5/0.9

t < 5.

The inequality is:

t < 5.

The inequality that depicts when Gilberta has much more wallpaper left throughout her room than Mara does in hers using linear functions is:

t< 5.

To know more about linear functions visit:

https://brainly.com/question/28166260

#SPJ4

Answer:

Step-by-step explanation:

1) Find the LCD and multiply what is missing: LCD (x)(14)

-1x/14x + 33/14x

2) Get rid of the denominators

-1x+33

-x+33

That should be right! Sorry if it isn't!

Answer:

Step-by-step explanation:

Mistake in step 3 the (2x+1) and the (x-1) both cancel out but the other binomials (x + 3) and (x - 3) are different so don't cancel out.

Step 3 should be 3(x-3) / 4(x+3)

3 should not be an excluded value.