Please help me with imaginary numbers.

Answer:

x = 7

Step-by-step explanation:

x + 8 = 15

7 + 8 = 15

15 = 15

LHS = RHS

Answer:

10

Step-by-step explanation:

10-5

Answer:

10

Step-by-step explanation:

Answer:

There will be sufficient evidence to conclude. A further explanation is provided below.

Step-by-step explanation:

The given values are:

[tex]\sigma=1.8[/tex]

[tex]\alpha=0.05[/tex]

[tex]n=10[/tex]

As we know,

[tex]\bar{x}=\frac{\Sigma x_i}{n}[/tex]

  [tex]=\frac{71.5}{10}[/tex]

  [tex]=7.15[/tex]

The standard deviation will be:

⇒  [tex]s=\sqrt{\frac{1}{n-1} \Sigma(x_i- \bar{x})^2 }[/tex]

On substituting the values, we get

⇒     [tex]=\sqrt{\frac{1}{10-1} [(6.5-7.15)^2+...(7.7-7.15)^2]}[/tex]

⇒     [tex]=\sqrt{\frac{1}{9} [(6.5-7.15)^2+...(7.7-7.15)^2]}[/tex]

⇒     [tex]=0.477[/tex]

According to the question,

Hypotheses:

[tex]H_o: \sigma=1.8[/tex]

[tex]H_a: \sigma<1.8[/tex]

The test statistic will be:

⇒ [tex]X^2=\frac{(n-1)s^2}{\sigma^2}[/tex]

⇒       [tex]=\frac{(10-1)\times 0.477^2}{1.8^2}[/tex]

⇒       [tex]=\frac{2.0477}{3.24}[/tex]

⇒       [tex]=0.632[/tex]

Thus the above is the correct response.

Answer:

=48x2^+3097x+12

Step-by-step explanation:

3(4x+9)(4)x+2712x+277x+12

Distribute:

=48x2+108x+2712x+277x+12

Combine Like Terms:

=48x2+108x+2712x+277x+12

=(48x2)+(108x+2712x+277x)+(12)

=48x2+3097x+12

Answer:

Hello~

12x+3×9

12x + 27

Ary~

Answer:

steps:

Answer:

it d. the proof demonstrates that a 2 + b 2=c 2

Answer:

Angle 3 and Angle 4

Step-by-step explanation:

Congruent angles are equal to each other, these can't be congruent.

Answer:

x = 4

y = 3.5

Step-by-step explanation:

The parallelogram given has opposite sides that are equal in length. Therefore, the diagonals bisect each other into two equal parts respectively.

Thus:

2y = 7

Divide both sides by 2

y = 7/2

y = 3.5

Also,

x + 6 = 10

Subtract 6 from each side

x = 10 - 6

x = 4

Answer:

4.9 so 5

Step-by-step explanation:

Answer:

43720

Step-by-step explanation:

It was right on delta math

Answer:

[tex] \frac{4}{64} [/tex]

Step-by-step explanation:

The spinner is independent (the total won't be effected)

we know there is 2 whites with 8 coloured option.

[tex] \frac{2}{8} [/tex]

we want the probability of getting two whites.

[tex] \frac{2}{8} \times \frac{2}{8} = \frac{4}{64} [/tex]

there is 3 ways to work out probability, fraction, decimal and percentage (i'd personally say fraction is the most easiest)

The probability of Keisha to win a prize on both spins in a game of wheel which is divided in eight equal sectors is 1/16.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

Keisha is playing a game using a wheel divided into eight equal sectors, as shown in the diagram.

Each time the spinner lands on white, she will win a prize. If she spins this wheel twice,

Here, the white is appeared twice in the wheel and the total number of  sector in wheel are 8. Thus the probability of first time to come white in the spin is,

[tex]P=\dfrac{2}{8}\\P=\dfrac{1}{4}[/tex]

The conditions are same for the second case. For this case, both result of both the spins of wheel are independent of each other.

Thus, by the chain rule, the probability both spin as white sector appear is,

[tex]P=\dfrac{1}{4}\times\dfrac{1}{4}\\P=\dfrac{1}{16}[/tex]

Thus, the probability of Keisha to win a prize on both spins in a game of wheel which is divided in eight equal sectors is 1/16.

Learn more about the probability here;

https://brainly.com/question/24756209

Answer:

B.

Step-by-step explanation:

as for my answer please correct if im wrong

Answer:

x = 43 degrees

Step-by-step explanation:

First, you have to see that there is a right angle of 90 degrees. Since that is there, you know that there is 90 degrees in the bottom and right side as well. So all you do in this question is do 90 - 47 to get your answer of 43 degrees.

Answer:

3 pounds 9 ounces

Step-by-step explanation:

Answer:

160 acres

Step-by-step explanation:

Given data

Total Amount of land= 280 Acres

Ratio=4:3

Total part = 4+3= 7

Applying the part to all method

let AI receive x acres

Then

4/7= x/280

cross multiply

7x= 280*4

7x=1120

x= 1120/7

x= 160

Hence AI will receive 160 acres

Answer:

[tex]\Huge\boxed{x=11.8}[/tex]

Step-by-step explanation:

Hello There

cos = adjacent divided by hypotenuse

the adjacent side of the angle that has a measure of 49 is x and the hypotenuse is 18

so

[tex]cos49=\frac{x}{18}[/tex]

once again we want to isolate the variable using inverse operations

to get rid of the 18 we multiply each side by 18

[tex]\frac{x}{18} *=x\\cos49*18=18cos49[/tex]

we're left with

[tex]x=18cos49[/tex]

now we let the calculator do the rest of the work

we end up with

[tex]x=11.80906252[/tex]

our final step would be to round to the nearest tenth

so we can conclude that the x = 11.8

Answer:

53

Step-by-step explanation:

50 - 12 = 38

38 + 15 = 53

Answer:

1. 12.20

2.8.9

3.31.4

4.13.9

5. 21.93

6. some of it is cut off.

Step-by-step explanation:

a^2+b^2=c^2

Answer:

1

Step-by-step explanation:

Answer: 24 miles

Step-by-step explanation:

If 6 hours = 144 miles

  1 hour = ?

(cross multiplication)

= 144/6

=24

Answer:

x+35/5=2

x+35=10

x=-25

Answer:

[tex]\frac{1}{5} x[/tex]+7=2, x=-25

[tex]\frac{m}{7} -7=3[/tex], m= 105

[tex]\frac{3}{5} x+7=-20, x= -45[/tex]

[tex]-\frac{2}{7} t+5=17, t=-42[/tex]

4.9x+4.2=9.1, x=1

Explanation for last two:

[tex]-\frac{2}{7}t+5=17[/tex]  

Step 1: Subtract 5 from both sides.

[tex]\frac{-2}{7} t+5-5=17-5[/tex]

[tex]\frac{-2}{7} t=12[/tex]

Step 2: Multiply both sides by 7/(-2).

[tex](\frac{7}{-2} )*( \frac{-2}{7}t )= (\frac{7}{-2} )*(12)[/tex]

t=−42

4.9x+4.2=9.1

Step 1: Subtract 4.2 from both sides.

4.9x+4.2−4.2=9.1−4.2

4.9x=4.9

Step 2: Divide both sides by 4.9.

[tex]\frac{4.9x}{4.9} \frac{4.9}{4.9}[/tex]

x=1

Answer:

y=−x^2−2x+1

Step-by-step explanation:

Answer: 5/6  

Step-by-step explanation:

25/30(5/5)

5/6(1/1)

(5/1)(6/1)

=5/6

Answer:

B. 467

A yellow ball will be selected about 467 times.

Answer: 1 quart = 4 cups or 2 pints