Please helpp!! (30 POINTS)!!!

Answer:

a) [tex]P(x > 2) = \frac{1}{6}[/tex]

b) [tex]P(x < 5) = \frac{1}{3}[/tex]

c) 50 times

Step-by-step explanation:

Given

[tex]S = \{1,2,3,4,5,6,7,8,9,10,11,12\}[/tex]

Solving (a): P(x > 10)

First, list all outcomes of x

[tex]x = \{11,12\}[/tex] --- 2 outcomes

So, the probability is:

[tex]P(x > 2) = \frac{2}{12}[/tex]

Simplify

[tex]P(x > 2) = \frac{1}{6}[/tex]

Solving (b): P(x < 5)

First, list all outcomes of x

[tex]x = \{1,2,3,4\}[/tex] --- 4 outcomes

So, the probability is:

[tex]P(x < 5) = \frac{4}{12}[/tex]

Simplify

[tex]P(x < 5) = \frac{1}{3}[/tex]

Solving (c): Expected outcome of 4, 6 or 9 in a roll of 200

We have:

[tex]n = 200[/tex]

First, list all outcomes of x

[tex]x = \{4,6,9\}[/tex] --- 3 outcomes

So, the probability is:

[tex]P(x ) = \frac{3}{12}[/tex]

Simplify

[tex]P(x ) = \frac{1}{4}[/tex]

The expected number of rolls (E(x)) is calculated as:

[tex]E(x) = P(x) * n[/tex]

[tex]E(x) = \frac{1}{4} * 200[/tex]

[tex]E(x) = 50[/tex]

Answer:

c=56.3

Step-by-step explanation:

Sorry for the bad writing and diagram haha

Answer:

14.0

Step-by-step explanation:

[tex] \cos(38) \: = \: \frac{11}{x} \\ x \cos(38) \: = \: 11 \\ x \: = \: \frac{11}{ \cos(38) } \\ x \: = \: \frac{11}{0.788} \\ x = 13.99 \\ x = 14.0[/tex]

Answer:

63.554

Step-by-step explanation:

V=pir^2h

r=3.4/2

h=7

V=pi(1.7)^2(7)

=63.554

Answer:

[tex] {b}^{y} = x \\ x = {b}^{y} \\ log_{b}x = y[/tex]

Answer:

95% confidence interval for the mean

(6.61251, 7.38749)

Step-by-step explanation:

Step:-1

Given that a random sample 'n' = 60

Given that mean of the sample x⁻ = 7.0

Given that the standard deviation of the sample (S) = 1.5

Level of significance = 0.05

Degrees of freedom = n-1 = 60-1 = 59

t₍₀.₀₅ , ₙ₋₁₎ = 2.0010

Step(ii):-

95% confidence interval for the mean is determined by

[tex](x^{-} - t_{0.05,n-1} \frac{S.D}{\sqrt{n} } , x^{-} + t_{0.05 , n-1} \frac{S.D}{\sqrt{n} } )[/tex]

[tex]( 7.0 - 2.0010 \frac{1.5}{\sqrt{60} } , 7.0 + 2.0010 \frac{1.5}{\sqrt{60} } )[/tex]

(7.0 - 0.38749 , 7.0 + 0.38749)

(6.61251 , 7.38749)

Final answer:-

95% confidence interval for the mean

(6.61251 , 7.38749)

Answer:

40x-100/4

-15x+6

Step-by-step explanation:

Answer:

B it is a non-uniform probability model because each color has an equal chance of being selected

Step-by-step explanation:

Developing a uniform probability model by assigning equal probability to all. If we select one student at random from the ten, is that a uniform then student name or grade level or color of their shirt or shoe size or different that the probability model uniform is different so that means the model is a non-uniform

Answer:

25.00 < (with a line  under it) 4.50+2.50x

Step-by-step explanation:

Answer:

The first choice

Step-by-step explanation:

In the picture above, Goodluck.

Answer:

you look for the same variables with the same powers

y: 16y +8y = 24y

x: 8x - 7x = x

y^2: 2y^2

and sum it all together at the end

Step-by-step explanation:

Answer:

x=55.5

Step-by-step explanation:

2x=111

Isolate x by dividing both sides by 111

x=55.5

Answer:

6

Step-by-step explanation:

Answer: GE=6

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

8x-6 = 98 and solve from there to get 13

Answer:

The answer is B. 10^3

Answer:

there's no pic

Step-by-step explanation:

can you re attach it plz I might be able to help

Answer:

El valor de cada cuota fija es de $500.

Step-by-step explanation:

Para encontrar el valor de cada cuota fija, puedes calcular la diferencia entre lo que Juan ha pagado y el valor que costó el plasma para saber cuál es el monto que aún debe. Después, debes dividir la cantidad que aún debe pagar entre tres que es el número de cuota pendientes para encontrar el valor de cada cuota teniendo en cuenta que son fijas:

8000-6500=1500

1500/3=500

De acuerdo a esto, la respuesta es que el valor de cada cuota fija es de $500.

Respuesta:

Sí, tienen el mismo descuento del 40%

Explicación paso a paso:

Dado :

PANTALÓN :

Precio inicial = 150

Precio con descuento = 90

Porcentaje de descuento en el precio:

(150 - 90) / 150 * 100%

60/150 * 100%

0,4 * 100

= 40%

CAMISA:

Precio inicial = 40

Precio con descuento = 24

Porcentaje de descuento en el precio:

(40-24) / 150 * 100%

16/40 * 100%

0,4 * 100

= 40%

Sí, tienen el mismo descuento del 40%

Answer:

693

Step-by-step explanation:

You can simply apply BODMAS(Bracket of Division Multiplication Addition Subtraction)

Here, the brackets come first

62+1=63

63*3=189

189*4=756

756-63=693

Answer:

720

Step-by-step explanation:

First you do the things inside the parenthesis which is 62 + 1 = 63

Which gives you this  -----> 4[ 3 x 63]-36

Then do the brackets (brackets are these btw "[ ]" )

After doing the brackets you should bet this 4 x 189 - 36

Then you do the multiplication -----> 756 - 36

756 - 36 = 720

Answer:

Recipe A

Step-by-step explanation:

Hope this helped!!!

Answer:

[tex]{\huge\red{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]

Cups of flour used = 3

Rolls made = 12

Cups of flour per roll

[tex] = \frac{3}{12} \\ = \frac{1}{4} \\ = 0.25[/tex]

Cups of flour used = 5

Rolls made = 24

Cups of flour per roll

[tex] \frac{5}{24} \\ = 0.20[/tex]

Cups of flour used = 11

Rolls made = 48

Cups of flour per roll

[tex] \frac{11}{48} \\ = 0.22[/tex]

[tex]0.25 > 0.22 > 0.20[/tex]

Recipe A > Recipe C > Recipe B.

✏ So, Recipe A used the most cups of flour per roll (option a).

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ RainbowSalt2222 ࿐ }} \mid}}[/tex]

P - Parentheses

E - Exponents

M - Multiply

D - Divide

A - Add

S - Subtract

PEMDAS, is just an order of operations...

In our order above, Multiplying comes BEFORE addition OR Subtraction...

40 x 0 = 0

Then moving to the front...

40 - 0 = 40...

Lastly, 40 + 1 = 41

Answer is 41

Answer:

a) 58.24 square centimeters

b) 5cm

Step-by-step explanation:

a) Area of a parallelogram

The formula for the Area of a parallelogram = Base × Height

Height : 5.2cm

Base : 11.2cm

Area = 5.2 cm × 11.2cm

= 58.24 square centimeters

b) Volume of a cuboid

The formula for the Volume of a cuboid = Length × Width × Height

7cm = Width

3cm = Length

y = Height

Volume = 105cm³

We are to find y

Hence,

105cm³ = 7cm × 3cm × y

y = 105cm³/7cm × 3cm

y = 5cm

Answer:

x = 29.5

y = 48.16

z = 34.05

Step-by-step explanation:

Sorry if the explanation is messy

answer

x=29.44

y=48.08

z=68

Step-by-step explanation:

opp/adj = tan(30)

17/x = tan(30)

x = 29.44

hyp^2 = x^2+y^2

hyp^2 = (29.44)^2 + (17)^2

hyp^2 = 867 + 289

hyp = 34

opp/hyp = Sin(45)

34/y = Sin(45)

y = 48.08

adj/hyp = Cos(45)

z/(48.08) = Cos(45)

z = 68

Step-by-step explanation:

a)

Two of the three interior angles are known. Both are equal to 55°. This can be seen by looking closely at the picture. To find the third angle subtract the other two from 360°

[tex]360\textdegree-55\textdegree-55\textdegree=x[/tex]

b)

Do the same thing only afterward subtract the third angle from 180 to find the supplementary angle

[tex]360\textdegree-40\textdegree-28\textdegree=ans\textdegree\\180\textdegree-ans\textdegree=x[/tex]

Answer:

x=-31/4

Step-by-step explanation:

1/4 =x+8

Step 1: Flip the equation.

x+8=

1

4

Step 2: Subtract 8 from both sides.

x+8−8=

1

4

−8

Answer:

-44(b)

Step-by-step explanation:

-4+x=-48

add 4 to both sides

x=-44