Solve for x step by step:

2(4x-3)-8=4+2x

Answer:

2.83

Step-by-step explanation:

For a normally distributed data :

Mean = 3.1 inches

Standard deviation = 0.4 inches

Find the value of the quartile Q1:

The quartile Q1 represents the first quartile which is the Lower 25% of the distribution

25% = 0.25

Using the z-table :

0.25 = - 0.68

The z- score formula

Z-score = ( x - mean / standard deviation)

-0.68 = ((x - 3.1) / 0.4)

x - 3.1 = (-0.68 * 0.4)

x - 3.1 = - 0.272

x = - 0.272 + 3.1

x = 2.828

x = 2.83

Answer:

21.60

Step-by-step explanation:

First find the tip

18 * 20%

18 *.2

3.60

Then add it to the cost of the haircut

18 + 3.60

21.60

Answer:

√13 miles

Step-by-step explanation:

Using Pythagorean Theorem,

h^2=p^2+b^2

Here,

h=x

p=2miles( taking the angle opposite to 2miles as reference)

b=3miles

Now,

x^2=2^2+3^2

x=√(4+9)

x=√13 miles

Answer:

D. (7^2 X2) x 4

The equation inside the parenthesis finds the volume of one pan and then that is multiplied by 4 which is the total number of pans. This will find the volume of all 4 pans.

Answer: (7^2 × 2) × 4

Step-by-step explanation:

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

[tex]\huge\text{-7(2w - 5)}[/tex]

[tex]\huge\text{= -7(2w) - 7(-5)}[/tex]

[tex]\huge\text{= -14w + 35}[/tex]

[tex]\huge\text{You do not have any like terms in this equation}[/tex]

[tex]\huge\boxed{\textsf{Answer: -14w + 35}}\huge\checkmark[/tex]

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

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

23.6 (approximate value)

Step-by-step explanation:

Answer:

Step-by-step explanation:

23.6

Answer:

1/2

Step-by-step explanation:

● 1/4 + 4(1/2 - 3/4 )^2

To make it easier convert the fractions to decimal numbers.

● 1/4 = 0.25

● 1/2 = 0.5

● 3/4 = 0.75

So the expression will be:

● 0.25 + 4(0.5 - 0.75)^2

Calculte first 0.5-0.75 (0.5-0.75= -0.25)

● 0.25 + 4 × (-0.25)^2

-0.25^2 is the same as 0.25^2

● 0.25 + 4 × (0.25)^2

0.25^2 is 0.0625

● 0.25 + 4×0.0625

Multiplication has the priority (4 ×0.0625) wich is 0.25

● 0.25 + 0.25

● 0.5

0.5 is 1/2

So the answer 1/2

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4}+4(\frac{1}{2}-\frac{3}{4})^2\\\frac{1}{4}+4(\frac{2-3}{4})^2\\\frac{1}{4}+4(\frac{-1}{4})^2\\\frac{1}{4}+4(\frac{1}{16})\\\frac{1}{4}+\frac{1}{4}=\frac{2}{4}=\frac{1}{2}[/tex]

[tex]\displaystyle \Large \boldsymbol{} |-2+3| =|1|=1[/tex]

Answer:

10+26+4=40

in total there is 40 animals

because there is in total for 40 animals then that mean 40 animals is 100%

now we see that there are 26 horses we only need to divid ( but remember you have to divid the percent and the number of animals together)

40 ÷ 20 = 2.    2 x 13 = 26

100% ÷ 20 = 5%.  5% x 13 = 65%

the answer for this question:

the percentage of animals that are horses is 65%

Answer:

The corresponding graph is Graph A.

Step-by-step explanation:

Part 1: Rewriting the inequality and solving for d

To start, the inequality will need simplified.

[tex]9-4d\geq -3\\\\-4d\geq -12\\\\\frac{-4d}{-4} \geq \frac{-12}{-4} \\\\d \leq 3[/tex]

Because simplifying the inequality involved dividing by a negative number, the sign must be flipped.

Part 2: Determining the graph for the inequality

Now, refer to the rules for graphing inequalities.

Therefore, because [tex]d \leq 3[/tex], the graph will start at 3 as a closed dot. Then, it will go left because values must be equal to 3 or less than 3.

Therefore, the graph that represents this is Graph A.

Answer:

Graph A

I hope this helps!

Answer: There are 75 books.

Price of each book = $4.

Step-by-step explanation:

Let x = Number of books in the box.

Then as per given,

Cost of x books = $300

Cost of one book = [tex]\$(\dfrac{300}x)[/tex]

Books left after giving 15 of them = x-15

Selling price of (x-15) books=  $330

Selling price of one book = [tex]\$(\dfrac{330}{x-15})[/tex]

Profit on each book= $1.50

Profit = selling price - cost price

[tex]\Rightarrow 1.50=\dfrac{330}{x-15}-\dfrac{300}{x}\\\\\Rightarrow\ 1.50=\dfrac{330(x)-300(x-15)}{x(x-15)}\\\\\Rightarrow\ 1.50=\dfrac{330x-300x+4500}{x^2-15x}\\\\\Rightarrow\ 1.50(x^2-15x)=30x+4500\\\\\Rightarrow\ 1.50x^2-22.5x=30x+4500\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ x^2-25x-3000=0\ \ [\text{divide by 1.5}][/tex]

[tex]\Rightarrow (x+40)(x-75)=0\\\\\Rightarrow\ x=-40,75[/tex]

Number of books cannot be negative.

So, there are 75 books.

Price of each book = [tex]\dfrac{300}{75}=\$4[/tex]

So price of each book = $4.

Answer:

C) A only

Step-by-step explanation:

In statistics, the null hypothesis is the default hypothesis and the alternative hypothesis is  the research hypothesis. The alternative hypothesis usually comes in place to challenge the null hypothesis in order to determine if the test is statistically significant or not.

Similarly,

In hypothesis testing, the confidence interval consist of all reasonable value of the population mean. Values for which the null hypothesis will be rejected [tex]H_o[/tex] .

Given that:

At 95% confidence interval for the  difference between the population means is (1.4, 8.7).

The level of significance = 1 - 0.95 = 0.05  = 5%

So , If the hypothesis test is based on the same samples, The hypothesis µ1 = µ2 would be rejected at the 5% level of significance.

Answer:

Step-by-step explanation:

Answer:

The conclusion about p using an absolute value inequality is  

   [tex]0.325 < p < 0.375[/tex]

Step-by-step explanation:

From the question we are told that

   The  sample proportion is  [tex]\r p = 0.35[/tex]

    The  margin of error is  [tex]E = 0.025[/tex]

The confidence interval is mathematically represented as

           [tex]\r p -E < p < \r p +E[/tex]

=>        [tex]0.35 - 0.025 < p < 0.35 + 0.025[/tex]

=>      [tex]0.325 < p < 0.375[/tex]

Answer:

(C) 1 and 3

Step-by-step explanation:

Corresponding angles are angles that are at the same corner at the different intersections.

We can see that 1 is on the bottom right corner of the bottom line, now we need to see what angle is at the bottom right corner of the top line?

That's 3.

So 1 and 3 are congruent because they are corresponding.

Hope this helped!

[tex]\displaystyle \int_1^3 \frac{\mathrm dx}{x^2-2x+5}[/tex]

Follow the instruction and complete the square in the denominator:

x ² - 2x + 5 = (x ² - 2x + 1) + 4 = (x - 1)² + 4

Then the integral is

[tex]\displaystyle \int_{x=1}^{x=3} \frac{\mathrm dx}{(x-1)^2+4}[/tex]

Substitute y = x - 1 and dy = dx :

[tex]\displaystyle \int_{y+1=1}^{y+1=3} \frac{\mathrm dy}{y^2+4} = \int_{y=0}^{y=2}\frac{\mathrm dy}{y^2+4}[/tex]

Substitute y = 2 tan(z) and dy = 2 sec²(z) dz :

[tex]\displaystyle \int_{2\tan(z)=0}^{2\tan(z)=2}\frac{2\sec^2(z)}{(2\tan(z))^2+4}\,\mathrm dz = \frac12 \int_{z=0}^{z=\pi/4} \frac{\sec^2(z)}{\tan^2(z)+1}\,\mathrm dz \\\\ = \frac12 \int_{z=0}^{z=\pi/4} \frac{\sec^2(z)}{\sec^2(z)}\,\mathrm dz \\\\ = \frac12 \int_{z=0}^{z=\pi/4} \mathrm dz = \frac12 z\bigg|_{z=0}^{z=\pi/4} = \frac12 \left(\frac\pi4-0\right) = \boxed{\frac\pi8}[/tex]

Answer:

Step-by-step explanation:

perimeter of triangle=sum of lengths of sides=5x-7+3x-4+2x-6=10x-17

Answer:

10x - 17

Step-by-step explanation:

To find the perimeter of a triangle, add up all three sides

( 5x-7) + ( 3x-4) + ( 2x-6)

Combine like terms

10x - 17

Answer:

Step-by-step explanation:

So we know that the average of numbers is all of the numbers added up and divided by the total amount of numbers.

      2721

   + 2557

-------------------

       5278

.... AND SO ON.........

=14,894 is all of the number added together!!!

Then we count up the numbers= 5

       14,894/5

=2978.8

I hope this helps!!!

Answer:

Table in option C represents the linear relationship as the equation, [tex] y = 2x + 6 [/tex]

Step-by-step explanation:

The equation given seems to be wrong. The equation should be [tex] y = 2x + 6 [/tex], because, taking a look at the tables given, the table in option C is the only table that has values that conforms to the equation, [tex] y = 2x + 6 [/tex].

In table C, when x = 2 using the equation, [tex] y = 2x + 6 [/tex], thus,

[tex] y = 2(2) + 6 = 4 + 6 = 10 [/tex].

When x = 3,

[tex] y = 2(3) + 6 = 6 + 6 = 12. [/tex]

Theredore, the equation, [tex] y = 2x + 6 [/tex], represents the relationship between the X and y variables in the table in option C.

Answer:

86 = w

Step-by-step explanation:

The perimeter of a  triangle is

P = 2(l+w)

368 = 2(98+w)

Divide each side by 2

368/2 = 2/2(98+w)

184 = 98+w

Subtract 98 from each side

184-98 = 98+w-98

86 = w

Answer:

Figure G.

Step-by-step explanation:

Let's check through the values and calculate the radius and area for all the circle.

For circle R

Diameter = 2 feet

Radius= 1 feet

Area= πr²

Area= 3.14*1

Area= 3.14 feet²

CircleS

Diameter= 4 feet

Radius= 2 feet

Area= πr²

Area= 3.14*2²

Area= 12.56 feet²

Circle T

Diameter= 8 feet

Radius= 4 feet

Area = π r²

area= 3.14*4²

Area=50.24 feet²

Circle U

Diameter= 12 feet

Radius= 6 feet

Area = π r²

area= 3.14*6²

Area=113.04 feet²

The values of the radius and Area all match the graph in figure G

Answer:

4

Step-by-step explanation:

i distributed the -2 to what's in the parentheses. that equal 0. I then moved the 4 to the zero so that it becomes positive. I just assumed that you were ask for Y

Step-by-step explanation:

y-4=-2(x+3)....eq(1)

y- 4= -2x-6

y=-2x-2...eq(2)

subtituting equation 2 in equation 1

(-2x-2)-4=-2x-6

-2x-6=-2x-6

=0

Answer:

Step-by-step explanation:

Answer:

a.0.375

b.0.125

c.0.375

1.0.375

2.0.125

3.0.375

Step-by-step explanation:

a.

The total events in a sample space are n(S)=8

The events that contains exactly two boys

Boy Boy Girl,Boy Girl Boy,Girl Boy Boy.

Let A be the event that there are exactly two boys. Thus, n(A)=3.

So, probability of exactly 2 boys is P(A)=n(A)/n(S)=3/8=0.375.

b.

The event that contains exactly 0 girls.

Boy Boy Boy

Let B be the event that contains exactly 0 girls. Thus, n(B)=1.

So, probability of exactly 0 girls is

P(B)=n(B)/n(S)=1/8=0.125.

c.

The events that contains exactly 1 girl.

Boy Boy Girl,Boy Girl Boy,Girl Boy Boy

Let C be the event that contains exactly 1 girl. Thus, n(C)=3.

So, probability of exactly 1 girl is

P(C)=n(C)/n(S)=3/8=0.375.

Q1 is same as part a.

Q2 is same as part b.

Q3. is same as part c

9514 1404 393

Answer:

  TRIANGLES

  Possible

     4) Yes

  Unique

     1) No

     2) No

     3) Yes

  3D SHAPES

     Step 2: triangle area 8.75 ft²; total area 52.5 ft²

     Step 3: TOTAL AREA = 52.5 ft² + 31.5 ft² = 84 ft²

Step-by-step explanation:

Possible Triangles

The requirement on side lengths is that the sum of the short two exceed the longest.

  4) 5 + 6 = 11 > 7 . . . . Yes, can form a triangle

__

Unique Triangles

The available congruence theorems are a good starting point for determining if a triangle is unique. If you have side and angle definitions that correspond to AAS, ASA, SAS, SSS, or HL, then the triangle is uniquely determined.

You will notice that SSA is not on this list. However, there are special cases where SSA can be used. If the given angle is opposite the longest given side, then the triangle is uniquely determined. (You will notice that this is the case in an HL triangle, where the given H side is opposite the right angle.)

  1) SSA; angle is opposite the short side — triangle is not unique

  2) AAA; no side is given — triangle is not unique

  3) SAS; — triangle is unique

__

  Step 2: The area is 1/2bh = 1/2(3.5 ft)(5 ft) = 8.75 ft². The area of all triangles together is 6×8.75 ft² = 52.5 ft².

  Step 3: TOTAL AREA = 52.5 ft² + 31.5 ft² = 84 ft².

Answer:

5/12

Step-by-step explanation:

(5 * 2^1/4)/4 * 162^1/4) = (5 * 2^1/4)/4 * 3 *2^1/4)

multiply top and bottom by 2^3/4

(5 * 2)/4 * 3 * 2) = 10/24 = 5/12

Answer:

B. 4.61 miles

Step-by-step explanation:

midpoint is (-3+4)/2, (2+8)/2 = (1/2, 5)

distance = √(-3-1/2)² + (2 - 5)² = 4.609772299