A set of average city temperatures in April are normally distributed with a mean of 19.7 Celsius in a standard deviation of two Celsius the average temperature of Kabul is 15 Celsius what proportion of the average city temperatures are lower than that of Kabul?

The value of x is 4 and 0

Algebra is a branch of mathematics that helps translate real-world problems or situations into mathematical formulas. Mathematical operations like addition, subtraction, multiplication, and division as well as variables like x, y, and z are needed to construct a valid mathematical expression. Coordinate geometry, calculus, and trigonometry are just a few of the mathematics topics that involve algebra. A simple algebraic equation is 2x + 4 = 8. Algebraic expressions are the result of performing operations on variables and constants, such as addition, subtraction, multiplication, division, etc. Consider that James and Natalie came up with the notion to arrange matchsticks into numerical patterns when they were fiddling with them.

Given that : [tex](x-2)^{2} = 2[/tex]

[tex](x-2)^{2} = 2[/tex]

(x-2)=±2

x= 4

x=0

To learn more about basic algebra visit:

brainly.com/question/15167098

#SPJ9

Simplify the expression.

___________________

...^Here are all three solutions depending on what you are looking for. Hope this helps! If so, please lmk! Thanks and good luck!

Answer:

Yes.

Step-by-step explanation:

distance = rate x time

Let r = rate

567 = r6  Divide both sides by 6

94.5 = r  If he was driving at a constant rate the whole time then he was driving at 94.5 miles per hour which is faster than 90

638x636y73637zy

Answer:

Because first multiple and divide and Again Multiple and ans

Using the midpoint theorem, the length of AM is 43

From the question, we are to determine the length of AM

From the given information,

Point M is the midpoint of AB

Thus,

From the midpoint theorem

We can write that

AM + MB = AB

AM = MB

AM + AM = AB

2AM = AB

Also, from the given information,

AM = 2x + 9

and

AB = 8x - 50

Therefore,

From 2AM = AB  

2(2x + 9) = 8x - 50

Solve for x

2(2x + 9) = 8x - 50

4x + 18 = 8x - 50

18 + 50 = 8x - 4x

68 = 4x

x = 68/4

x = 17

But,

AM = 2x + 9

Substituting the value of x

Thus,

AM = 2(17) + 9

AM = 34 + 9

AM = 43

This means the length of AM is 43

Learn more on Calculating length of a line here: https://brainly.com/question/16689533

#SPJ1

When one is testing the null hypothesis that the population proportion equals 45, the. z score is -3.02.

The null and alternative hypothesis is illustrated as the population proportion equals 45,

P0 = 0.45

1 - P0 = 1 - 0.45 = 0.55

Test statistic = z

This will be illustrated as:

= 0.30 - 0.45/ [✓(0.45 * 0.55) / 100]

Test statistic = z = -3.02

Therefore, the z score is -3.02.

Learn more about hypothesis on:

https://brainly.com/question/606806

#SPJ1

Step-by-step explanation:

a probability is always

desired cases / totally possible cases

a 50% probability means 1/2 or 0.5.

that means

desired cases = 1/2 × totally possible cases

at start we have

3 red

3 white

5 blue

that makes 5 + 3 + 3 = 11 totally possible cases and 3 desired cases.

so, the starting probability to pull a white marble is

3/11.

now, we need to say

(3 + x) = 1/2 × (11 + x) (= (3+x)/(11+x) = 1/2)

to make is simpler we multiply both sides by 2 (so we get rid of the 1/2 fraction).

6 + 2x = 11 + x

6 + x = 11

x = 5

we need to add 5 white marble to give us a 50% probability to pull a white marble.

we have then

3 red

3 + 5 = 8 white

5 blue

that makes 5+8+3 = 16 totally possible cases and 8 desired cases.

so, the probability is

8/16 = 1/2

=> our calculation was correct

The number of white marbles should be added to the bag to make the probability of pulling a white marble 50% will be 5.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

A bag contains 3 red marbles, 3 white marbles, and 5 blue marbles. only white marbles will be added to the bag.

Let 'x' be the number of white marble added. Then the equation is given as,

0.50 = (x + 3) / (x + 3 + 3 + 5)

Simplify the equation, then we have

0.50 = (x + 3) / (x + 3 + 3 + 5)

0.50 = (x + 3) / (x + 11)

0.50x + 5.5 = x + 3

0.50x = 2.5

x = 5

The number of white marbles should be added to the bag to make the probability of pulling a white marble 50% will be 5.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Answer:

Derivative of y=(x⁴-2x³+5x²-4)³

Step-by-step explanation:

Answer:

C' = (15, 7)

Dilation by a scale factor of 3 with the origin (0, 0) as the center of dilation, followed by a translation of 1 unit up.

Step-by-step explanation:

If two triangles are said to be similar, their corresponding angles are congruent and their corresponding sides are in the same ratio.

Given vertices of triangle ABC:

To maintain similarity (and thus keep the corresponding angles of both triangles the same) but not maintain congruence, dilate triangle ABC.

Given:

If ΔABC is dilated by a scale factor of 3, with the origin as the center of dilation, B' = (3, 12).  If the triangle is then translated 1 unit up, B' = (3, 13), which matches the given coordinate of point B'.

Therefore, the series of transformations is:

Mapping Rule:  (x, y) → (3x, 3y + 1)

Therefore, the coordinates of point C' are:

⇒ C' = (3(5), 3(2) + 1) = (15, 7)

The number of percussionists on the sidelines is 40.

Given:

Total number of members in high school band = 180

Let's assume "x" is the number of percussionists that are on the sidelines.

According to the question, there are two percussionists to every seven marching instruments. Then,

Number of members = 7 + 2 = 9

You can write the following proportion knowing that there are 180 total members of the high school band:

[tex]\frac{x}{180} = \frac{2}{9}[/tex]

Solving the proportion to get the value of x,

[tex]x = \frac{2}{9} * 180[/tex]

x = 40

Therefore, there are 40 percussionists on the sidelines.

To learn more about proportion visit:

https://brainly.com/question/13590351

#SPJ9

The expression 26+8 as the product of the GCF and a sum is:

2(13+4).

Given we have the expression as 26+8

We need to find the greatest common factor of the numbers 26 and 8.

26 = 2 × 13

8 = 2 × 2 × 2

Multiply all the prime factors that both numbers share in order to determine the GCF:

Therefore, GCF = 2

Now we can write the expression as:

26 + 8

=2(13 + 4)

=2×17

=34

Hence we get the required expression as 2(13 + 4).

Learn more about Greatest common factor here:

brainly.com/question/25266622

#SPJ1

Answer:

24

Step-by-step explanation:

Opposite sides on a rectangle are equal

So 2(3x+3)+2(4x)=104

Now expand, so 6x+6+8x=104

Simplify like terms, 14x+6=104

14x+6-6=104-6

14x=98

14x/14=98/14

x=7

Now just substitute the 7 in for the 3x+3 as thats what we are looking for.

3×7+3=24

Solution

The bullfdng dataset has its median close to the center of the boxplot.

- This implies that the dataset is symmetric.

- The wolverine dataset has its median moved to the right at 80, implying that it is NOT symmetric.

- However, because there is a skew to the left of datapoints, we say that the dataset is negatively skewed

Final Answer

OPTION A

We know that Emma has skydived 16 times, and also Emma has skydived twice as many times as Nico, so Nico has skydived:

So, Nico has skydived 8 times.

Finally, we know that Gus has skydived 4 more times than Nico, so:

Gus has skydived 32 times.

1) given

2) base angles theorem

3) PN=QN

4) [tex]\angle 3=\angle 4[/tex]

5) MP=OQ

7) PQ, QP

8) MQ=PO

9) ASA

Answer:

20

Step-by-step explanation:

Every 1 hour it cost $20

You can find this by using the equation y2-y1 divided by x2-x1

y2 is 40 y1 is 20

x2 is 2 and x1 is 1

40-20 divided by 2-1 equals 20

Answer: [tex]\frac{1}{1024}[/tex]

Step-by-step explanation:

[tex]4^{-3} = (2^{2} )^{-3} = 2^{-6}[/tex]

[tex]\frac{2^{-6} }{2^{4} } = 2^{-6-4} = 2^{-10} = \frac{1}{2^{10} } = \frac{1}{1024}[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{4^{-3}}{2^4}}[/tex]

[tex]\mathsf{= \dfrac{\dfrac{1}{64}}{2\times2\times2\times2}}[/tex]

[tex]\mathsf{= \dfrac{\dfrac{1}{64}}{4\times4}}[/tex]

[tex]\mathsf{= \dfrac{\dfrac{1}{64}}{16}}[/tex]

[tex]\mathsf{= \dfrac{1}{1,024}}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{\dfrac{1}{1,024}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The domain of the function y = x² - 1 in interval notation is (-∞, + ∞).

The given is y = x² - 1.

The domain of the function is;

Thus, the domain of the function in interval notation is  (-∞, + ∞).

To know more about the domain of the function, here

https://brainly.com/question/26098895

#SPJ10

Exact Form:

11920928955078128/390625

Decimal Form:

30517578125

The ratio of 29: 1 is 29
The mathematical equation is 29/1

A ratio can simply be defined as an ordered pair of numbers, say x and y, written in the form x / y where  of the denominator is note equivalent to zero.

It is known to explain how many times a given number contains another number in a proportion.

It is seen as the comparison of two numbers , elements or quantities having the same units and moving further to explain how much of one of the element or quantity is present in the another one.

This is achieved based on their magnitude or sizes.

A proportion is a mathematical equation with which two ratios are set equivalent to each other.

A ratio is expressed mathematically as;

x/y

Given the ratio;

29: 1

The equation is = 29/1 = 29

Hence, the ratio is 29

Learn more about ratio here:

https://brainly.com/question/2784798

#SPJ1

Answer:

26

Step-by-step explanation:

​(f​+g)(​-5)=

​f(-5)+g(-5)=

​-5+1+(-5)^2-(-5)=

-4+25+5=

-4+30=

30-4=26

Step-by-step explanation: I hope this helps.

Answer:

As given by the question

There are given that the function:

Now,

According to the answer to question #1 and the graph of the function:

It is the area under the curve from x = 0 and x = 3;

So,

Some of it is below the x-axis means negative area and some of it is above the x-axis which means positive area.

Then,

Yes, they will cancel out and the integral gives the exact net result.

Explained!

The equation of line passing through (-4, -16) and (5, 2) are y = 2x – 8, y - 2 = 2(x - 5) and y + 16 = 2(x + 4)

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

The standard form for linear equation is:

y = mx + b

Where m is the slope and b is the y intercept

The equation of line passing through (-4, -16) and (5, 2) is:

y - (-16) = [(2-(-16))/(5-(-4))](x - (-4))

y + 16 = 2(x + 4)

y = 2x - 8

y - 2 = 2(x - 5)

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

I think 31.72 because it 39156+214186 is 253342 it would be to low

A percentage is a number or ratio that represents a fraction of 100. 

The percentage who want to attend a festival, given that they want to travel out of state is 6.94%.

A percentage is a number or ratio that represents a fraction of 100. 

We have,

                           Attend a concert         Attend a festival

Stay in state                214                            186

Travel out of state       391                             59

The number of groups who wants to attend a concert while staying in a state:

= 214

The number of groups who wants to attend a concert while traveling out of the state:

= 391

The number of groups who wants to attend a festival while staying in a state:

= 186

The number of groups who wants to attend a festival while traveling out of the state:

= 59

The percentage who want to attend a festival, given that they want to travel out of state:

= The number of groups who wants to attend a festival while staying out of the state/ Total number of groups from all four conditions

= 59 / ( 214 + 391 + 186 + 59 ) x 100

= 59 / 850 x 100

= 6.94%

Thus,

The percentage who want to attend a festival, given that they want to travel out of state is 6.94%.

Option A is the correct answer.

Learn more about percentages here:

https://brainly.com/question/14772302

#SPJ2

Answer:

D) 24

Step-by-step explanation:

c + r = 30            Eq. 1

4r + 8c = 144       Eq. 2

r = rectangular tables

c = circular tables

From Eq. 1:

c = 30 - r             Eq. 3

Replacing Eq. 3 in Eq. 2:

4r + 8(30-r) = 144

4r + (8*30 + 8*-r) = 144

4r + 240 - 8r = 144

-4r = 144 - 240

-4r = -96

r = -96/-4

r = 24

from Eq. 3

c = 30 - r

c = 30 - 24

c = 6

Check:

from Eq. 2

4r + 8c = 144

4*24 + 8*6 = 144

96 + 48 = 144

If we take two ordered pairs from the table, we can find the slope with the following equation:

in this case, we can take the points (1,1/2) and (2,1) to get the following using the formula above:

we have that the slope is m = 1/2, and this means that for each 2 gallons of distilled water, Rodnika will add 1 gallon of sea salt

Explanation:

To solve for x first we have to put all terms that contain x together:

Substract x from both sides:

Now substract 5 from both sides:

And finally divide both sides by 3:

Answer:

x = 3

When the expression given as 6 + √27/4 - √3 is simplified, the value is 6 - 1/4√3

The expression is given as

6 + root 27over 4 - root 3

Mathematically, the expression can be represented as

6 + √27/4 - √3

Expand 27 as the product of 9 and 3

So, we have the following equation

6 + √27/4 - √3 = 6 + √(9 * 3)/4 - √3

Expand the products in the above equation

So, we have the following equation

6 + √27/4 - √3 = 6 + √9 * √3/4 - √3

Evaluate the square root of 9 in the above equation

So, we have

6 + √27/4 - √3 = 6 + 3/4√3 - √3

Evaluate the like terms in the above equation

So, we have the following equation

6 + √27/4 - √3 = 6 - 1/4√3

Hence, the value of the expression given as 6 + √27/4 - √3 is 6 - 1/4√3

Read more about expression at

https://brainly.com/question/4344214

#SPJ1