Noah and his dad went out for lunch. Their meal cost $32. The sales tax rate is 8%. Noahś dad left a 15% tip on the $32. How much did they pay in total

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:

D

Step-by-step explanation:

This isnt a cartisean coordinate plane so A is wrong. One of our points is at

[tex] - 3 + i[/tex]

Because it coincide with real number 3, and negative imaginary number i.

Conjugates are terms with opposite inverse of terms.

So our conjugates is

[tex] - 3 - i[/tex]

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: 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:

(a) 87.5 g

(b) 0.7 g per cubic cm

Step-by-step explanation:

side of each cube, s = 5 cm

total mass, M = 525 g

(a) mass of each cube, m = M/6 = 525/6 = 87.5 g

(b) Volume of each cube = s x s  s = 5 x 5 x 5 = 125 cubic cm

mass per cubic cm = 87.5/125 =0.7 g per cubic cm

Answer:

Step-by-step explanation:

5y=...:

y=5-13

y=-8=>5y=-58

6x-(-58)=13

6x+58=13

6x =13-58

6x =-45

x =-45:6

x =-7.5

[tex] \green{ \boxed{\sf \: length \: \: = 70 \: \: feet}}[/tex]

Step-by-step explanation:

Let assume that,

So,

Given,

perimeter = 200 feet

We know that,

Perimeter = 2(length + wide)

So,

[tex]200 = 2(x + 40 + x) \\ = > \frac{200}{2} = 2x + 40 \\ = > 2x + 40 = 100 \\ = > 2x = 100 - 40 = 60 \\ = > x = \frac{60}{2} \\ = > x = 30 \: feet[/tex]

So length = x + 40 = 30 + 40 = 70 feet

Answer:

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

Answer:

Step-by-step explanation:

a. amt. of weeks and hours worked

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]

The square root of 100 is 10.

To check, solve 10 x 10.

Hope this helps! Please mark me as brainliest!

Have a great day!

Answer:

x = 55°

Step-by-step explanation:

The sum of the angles in a triangle is 180°.

x + 75 + 50 = 180

x + 125 = 180

x = 55

Therefore, x = 55°.

Answer:

x = 55

Step-by-step explanation:

the angles of a triangle add up to 180 degrees. So far we have 125 taken up.

We do 180 - 125 = 55.

x = 55

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

Answer:

obtuse

Step-by-step explanation:

45^2 = 2025

42^2 = 1764

13^2 = 169

169+1764=1933

2025 > 1933

therefore it is an obtuse triangle

Answer:

The answer is "(27.030,29.770)"

Step-by-step explanation:

[tex](\bar{x}) = 28.4[/tex]

[tex](n)= 49[/tex]

[tex](\sigma) = 6[/tex]

[tex](CI) = \bar{x}\pm z^*_{\frac{\alpha}{2}} \frac{\sigma}{\sqrt{n}}[/tex]

[tex]z^*_{\frac{\alpha}{2}}\ for \ 89\%\ confidence = 1.598 \\\\\text{Using z table }\\\\ NORM.S.INV(1-\frac{(1-0.89)}{2})[/tex]

[tex]CI = 28.4 \pm 1.598 \times \frac{6}{\sqrt{49}}=(27.030,29.770)[/tex]

the cost price of radio is Rs.4450.

[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:

Step-by-step explanation:

Given,

Radius of a circle = 17m

Therefore,

Area in terms of pi

[tex] = \pi {r}^{2} [/tex]

[tex] = \pi \times 17m \times 17m[/tex]

[tex] = 289\pi {m}^{2} (ans)[/tex]

Answer:

A = 289π m²

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius ) , then

A = π × 17² = 289π m²

Answer:

5+√6

Step-by-step explanation:

(3√3 -2√2) ÷ (√3-√2 )

= (3√3 -2√2) (√3+√2) ÷ (√3 -2√2) (√3+√2)

= (9+3√3√2-2√2√3-4) ÷ ((√3)^2 -(√2)^2)

=(9+3√6-2√6-4) ÷ (3-2)

= (5+√6)

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:

|x-2| + |x+1| -5=0

⇒|x-2| + |x+1|=5

⇒x-2+x+1=5

⇒2x=6

⇒x=3

Step-by-step explanation:

Answer:

Wdym? that is fraction form, but if you ment decimal form; it is .7777 repeating and .25

Step-by-step explanation:

Answer:

Infinite solutions

Step-by-step explanation:

x + 4y = 7 --------------(I)

8y = 14 - 2x

⇒ 2x + 8y = 14 -----------(II)

[tex]\frac{a_{1}}{a_{2}}=\frac{1}{2}\\\\\frac{b_{1}}{b_{2}}=\frac{4}{8}=\frac{1}{2}\\\\\frac{c_{1}}{c_{2}}=\frac{7}{14}=\frac{1}{2}\\\\\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}=\frac{1}{2}[/tex]

So, infinite solutions

Answer:

G

Step-by-step explanation:

Given the 2 equations

x + 4y = 7 → (1)

8y = 14 - 2x → (2)

make x the subject of (1) by subtracting 4y from both sides

x = 7 - 4y

Substitute x = 7 - 4y into (2)

8y = 14 - 2(7 - 4y) ← distribute

8y = 14 - 14 + 8y

8y = 8y

Since both sides are equal this indicates the system has infinite solutions

Answer:

381/90

Step-by-step explanation:

x = 4.2333.... ----------(I)

Number of digit after decimal is 2 ( 4 , 3). So multiply both sides by of equation 100

100x = 423.333..... (II)

One digit (3) is repeating.So, multiply by both sides of equation (I) by 10

10x = 42.333....... -----(III)

Subtract Equation (III) from (II)

(II)     100x = 423.333......

(III)        10x =  42.333......  {Subtract}

         90x   = 381

                x = 381/90

The probability of getting a 6 on one dice is 1/6

The probability of getting a 6 on both dice would be 1/6 x 1/6 = 1/36

Answer: 1/36

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:-24(x-3) = -24x (-24)(-3)

Step-by-step explanation:

Answer:

eat my hand where the pic

Step-by-step explanation:

yeah

Answer:

Step-by-step explanation:

Sin 61  = 47/X

(X=AB)

X = 53.73764119

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The correct option is A.

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. It is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

In the given triangle, for ∠B we can write the perpendicular is 47, and the hypotenuse is AB.

Using the Sine ratio for the angle B, we can writte,

Sin(∠B) = AC/AB

Sin(61°) = 47/AB

AB = 53.74 units

Hence, the correct option is A.

Learn more about Sine:

https://brainly.com/question/21286835

#SPJ2

Answer:

67°

Step-by-step explanation:

let the base angle=x

x+x+46=180

2x=180-46=134

x=134/2=67