Simplify.

8^15÷8^−3

Enter your answer as a number to a power, using the ^ symbol to indicate exponents. For example, to enter 4253, type it like this: 42^53

PLEASE THIS HAS TAKEN ME AN ENTIRE DAY I HAVE NO IDEA HOW TO DO THIS

Solution :

Given data :

x = 65, n = 300

[tex]$\hat p = \frac{x}{n}[/tex]

  [tex]$=\frac{65}{300}$[/tex]

  = 0.2167

The hypothesis are :

[tex]$H_0: p \leq 0.3$[/tex]

[tex]$H_0: p> 0.3$[/tex]

The [tex]\text{level of significance}[/tex], α = 0.05

The test is right tailed.

The standard deviation is :

[tex]$\sigma = \sqrt{\frac{0.3(1-0.3)}{300}}$[/tex]

σ = 0.0265

The test statistics is :

[tex]$z=\frac{\hat p - p}{\sigma}$[/tex]

[tex]$z=\frac{0.2167 - 0.3}{0.0265}$[/tex]

  = -3.14

The critical value is 1.645

The rejection region is : If z > 1.645, then we reject [tex]H_0[/tex]

Decision :

Since the test statistics does not lie in the rejection, so we fail to . [tex]\text{reject the null hypothesis}[/tex].

P-value : [tex]$P(z > - 3.14)$[/tex]   = 0.9992

Therefore, the p-value is not less than the level of significance so we fail to [tex]\text{reject the null hypothesis}[/tex].

Answer:

Hello,

First equation is false

Second equation is true

Step-by-step explanation:

1)

(4,-3) is a point of the line y=4x-19  since

-3=?4*4-19

-3=-3

2)

(4,-3) is not a point of the line y=1/4x-2 since

-3=? 1/4*4-2

-3=? 1-2

-3≠-1

I have written that because it is difficult for me to understand

"the negative reciprocal of the slope of the first"

the negative reciprocal of 4 should be -1/4.

Equation y=1/4x-2 is false.

Answer:

The combined mean can be calculated by plugging in our numbers into the formula given: [(57*82)+(23*63)/(57+23)]=76.5

Answer:

294

Step-by-step explanation:

Surface area is the total area of the bases

The cube shown has a side length of 7

Cubes have 6 bases, each being a square, and the area of a square can be calculated by squaring the side length.

7^2 = 49

So the area of 1 base is 49

If we want to find the area of all the bases we multiply the area of 1 base by 6 ( because there are 6 bases )

42 * 6 = 294

The area of all of the bases is 294 so the surface area is 294

Answer:

9

Step-by-step explanation:

See the picture for steps :)

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

[tex]\mathsf{\dfrac{1}{4} (38 -14) + \dfrac{3^3}{9}}[/tex]

[tex]\mathsf{38-14=\bf 24}[/tex]

[tex]\mathsf{= \ \dfrac{1}{4} (24)+\dfrac{3^3}{9}}[/tex]

[tex]\mathsf{\dfrac{1}{4}(24)= \bf 6}[/tex]

[tex]\mathsf{= \ 6+\dfrac{3^3}{9}}[/tex]

[tex]\mathsf{3^3}\\\mathsf{= 3\times3\times3}\\\mathsf{= 9\times3}\\\mathsf{= \bf 27}[/tex]

[tex]\mathsf{= \ 6+\dfrac{27}{9}}[/tex]

[tex]\mathsf{\dfrac{27}{9}}\\\mathsf{= 27\div9}\\\mathsf{= \bf 3}[/tex]

[tex]\mathsf{= \ 6 + 3}[/tex]

[tex]\mathsf{= \bf 9}[/tex]

[tex]\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf 9}}}\huge\checkmark[/tex]

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

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

Answer: 0.6/0.8

= (0.6*100)/(0.8*100) {multiplying by 100 in both numerator and denominator}

= 60/80 (cut the zero)

= 6/8 (cut by 2)

= 3/4

Answer:

2.5 x 10^-27

Step-by-step explanation:

(2 x 10^13)^-2

= (2^-2) x (10^13) ^-2

= 0.25 x 10^-26

= 2.5 x 10^-27

Answered by Gauthmath

Consider [tex]\Delta AOB\cong \Delta BDC[/tex].

Given:

[tex]\Delta AOB\cong \Delta BDC, AO=5\ m,BD=10\ m, AB=5\ m.[/tex]

To find:

The length of BC.

Solution:

We have,

[tex]\Delta AOB\cong \Delta BDC[/tex]

We know that the corresponding parts of congruent triangles are congruent (CPCTC).

[tex]AB=BC[/tex]                   (CPCTC)

[tex]5\ m=BC[/tex]

The length of BC is 5 m. Therefore, the correct option is A.

Answer:

A = 616 cm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi (14)^2

A = pi (196)

Using 3.14 as an approximation for pi

A = 3.14 *196

A =615.44

The nearest approximation is

A = 616 cm^2

Answer:

D 616 cm^2

Step-by-step explanation:

Area = pi r^2

= 14^2 * 3.142

= 615.832

Answer:

93

Step-by-step explanation:

We can use the slope formula when given two points

m = (y2-y1)/(x2-x1)

   = ( 100-7)/(76-75)

   = 93/1

Answer:

[tex]\displaystyle m = 93[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point (75, 7)

Point (76, 100)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

composite numbers less than 12={1,3,4,6,8,9,10}

Answer:

            Boys          Girls               Total

Walk      19              22                   41

Bus        23              10                   33

Cycle     40             56                   96

Total      82              88                  170

Answer:

1.6c - 5

Step-by-step explanation:

-2.6 (5 - c) - c + 8

-13 + 2.6c - c + 8

1.6c -13 + 8

1.6c -5

Answer:

Step-by-step explanation:

there are 36 squares

red takes 1 of 4 so red has 9

blue takes 1 of 3 so blue has 12

5 of 12 of the grid is yellow

Answer:

-3

Step-by-step explanation:

Input -3 for x.

2*-3 - 9

then simplify.

Step-by-step explanation:

g(5)=2(5)-5=5

h(2)=4(2)+5=13

g(5)+h(2)=5+13=18

[tex]\boxed{\sf tan\Theta=\dfrac{P}{B}}[/tex]

[tex]\\ \sf\longmapsto tan\Theta=\dfrac{13}{46}[/tex]

[tex]\\ \sf\longmapsto tan\theta=0.2[/tex]

[tex]\\ \sf\longmapsto tan\theta=\dfrac{\sqrt{3}}{6}[/tex]

[tex]\\ \sf\longmapsto 3tan\theta=tan60[/tex]

[tex]\\ \sf\longmapsto \theta=\dfrac{60}{3}[/tex]

[tex]\\ \sf\longmapsto \theta=20°[/tex]

Answer:

option c is the correct answer (l=1 cm and w=42cm)

Step-by-step explanation:

length(l) = 1.00cm

width(w)= 42.00 cm

ACCORDING TO FORMULA

Area of rectangle = l×w

=1 cm × 42 cm

= 42cm^2

Answer: 804 is divisible by 1, 2, 3, 4, 6, 12 ,67 ,134 ,201, 268, 402 ,804

Answer:

The factors of 804 are: 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402,804.

Step-by-step explanation:

Answer:

142.5

Step-by-step explanation:

π×11²×135/360

= 363π/8

= 142.5 (rounded to the nearest tenth)

Answered by GAUTHMATH

Step-by-step explanation:

I am not sure what you want to calculate as ultimate goal.

but your have an error already in your third line in the picture.

(3-6i)(2-4i) = 3×(2-4i) - 6i(2-4i)

you had there a "+" instead of a "-".

and then you made subsequent mistakes in every line, some of them are funnily bringing you more back to the real result (e.g. -12i + 12i would be 0 and not -24i, but if the third line would have been correct, then yes, -24i is actually needed) - but not completely.

= 3×2 - 3×4i - 6i×2 + 6i×4i =

= 6 - 12i - 12i + 24×-1 = 6 - 24i - 24 = -24i - 18

then in the last 3 lines you kind of lose it completely. I am absolutely not sure, what you are calculating, and where the "+" cube from instead of "×" (multiplications) and such.

(3+6i)(2+4i) = 3×2 + 3×4i + 6i×2 + 6i×4i =

= 6 + 12i + 12i + 24×-1 =

= 6 + 24i - 24 = 24i - 18

is that what you wanted to show ?

Answer:

false =D

Step-by-step explanation:

they don't share any points

that's one thing, but I don't know what your options are of course.

see screenshot for illustration of the inequalities

Answer:

A

Step-by-step explanation:

The answer is 0.6^(x)-2. Answered by Gauthmath

From the graph, the equation that's is represented is A. 0.6x - 2.

From the equation, on the coordinate plane, the curve opens up and to the right. It crosses the x-axis at (negative 1.5, 0) and then crosses the y-axis at (0, negative 1).

Here, based on the family the graph below belongs to, the equation represented is the first equation which is 0.6x - 2.

Learn more about equations on:

https://brainly.com/question/2972832

5 by 3

3rd one

there we have to find hypotenuse.

Answer:

+- 5/3

Step-by-step explanation:

When we construct a right triangle with legs with length 3 and 4. The hypoteneuse must 5. Since tan(x) = opp/adj = 4/3 and sec(x) = hyp/adj,

We get the answer to be 5/3. Now there is a +- there because if we use the unit circle, if we take the point (-3, -4), we get tan(x) = (-4/-3) = 4/3. However, the hypoteneuse for sec(x) is always positive so sec(x) = 5/-3 = -5/3.

That is why there are two solutions, one with the terminal arm in Q3 and one in Q1. But that's the explanation using the unit circle.

Answer:

Scale factor = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

From the picture given in the question,

If the larger figure is dilated to form the smaller figure,

Scale factor by which a figure is dilated with is determined by the expression,

Scale factor = [tex]\frac{\text{Measure of one side of the smaller figure}}{\text{Measure of the corresponding side of the larger figure}}[/tex]

                    = [tex]\frac{3}{6}[/tex]

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

Answer:

28 = 2² x 7

Step-by-step explanation:

Factors of 28: 1, 2, 4, 7, 14, 28.

Prime factorization: 28 = 2 x 2 x 7, which can also be written 28 = 2² x 7.

3x+x^2=3x+x^2

3x-3x=x^2-x^2

which means x=0

Answer:

8nx- 7p-6x is your answer .

Answer:

x = 16.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 66 = 15/x

x sin 66 = 15

x = 15/sin 66

x=16.41954

Rounding to the nearest tenth

x = 16.4