Create a BOX PLOT with this data set by using the Jamboard attached to this assignment... 3, 1, 3, 7, 5, 2, 3, 6, 3

Answer:

C.

Step-by-step explanation:

hope this helps

Answer:

C

Step-by-step explanation:

C shows it being anything below six, and if x is less than six this is the correct answer.

Answer:

382 ft³ (3 s.f.)

Step-by-step explanation:

[tex]\boxed{volume \: of \: sphere = \frac{4}{ 3}\pi {r}^{3} }[/tex]

Radius= diameter ÷2

Rdaius of sphere

= 9 ÷2

= 4.5 ft

Volume of sphere

[tex] = \frac{4}{3} (\pi)(4.5)^{3} [/tex]

= 382 ft³ (3 s.f.)

Answer: 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

Step-by-step explanation:

Let X be a random variable that represents the speed of the drivers.

Given: population mean : M = 72 miles ,

Standard deviation: s= 3.2 miles

The probability that the drivers are traveling between 70 and 80 miles per hour based on this distribution:

[tex]P(70\leq X\leq 80)=P(\frac{70-72}{3.2}\leq \frac{X-M}{s}\leq\frac{80-72}{3.2})\\\\= P(-0.625\leq Z\leq 2.5)\ \ \ \ \ [Z=\frac{X-M}{s}]\\\\=P(Z\leq2.5)-P(Z\leq -0.625)\\\\\\ =0.9938-0.2660\ \ \ [\text{Using p-value calculator}]\\\\=0.7278[/tex]

Hence, 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

Answer:

The surface area of the prism is 544 in²

Step-by-step explanation:

Given;

base of the triangular prism, b = 12 in

side length, = 10 in and 14 in

height = 8 in

The surface area is calculated as follows;

S.A = 2(area of the triangular face)  + area of the rectangualr faces

S.A = 2( ¹/₂ x 12 x 8)  +  2(14 x 10)  + 14 x 12

S.A = (96)  + 2(140)  +  (168)

S.A = 96  +  280  +  168

S.A = 544 in²

Therefore, the surface area is 544 in²

Answer:

6 cm

Step-by-step explanation:

Given :

base is 9cm, Height is 4cm, and Length is 12cm.

Volume of triangular prism :

V = 1/2 * base * height * length

V = 1/2 * 9 * 4 * 12

V = 9 * 2 * 12

V = 216 cm³

Volume of a cube = a³

Where , a = side length

If 216cm³ is melted to form a cube

Then ;

a = 216^1/3

a = 6 cm

Answer:

i honestly dont even know myself

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here,

3x - 5

There is 3 as coefficient of x and -5 constant.

Hence,

Option D is correct

Answer:

[tex](a)\ t^2 - 20t + 75= 0[/tex]

[tex](b)[/tex] [tex]t = 5; t -=15[/tex]

Step-by-step explanation:

Given

[tex]p(t) = t^2 - 20t + 175[/tex]

Solving (a): Equation when profit = 100.

This implies that:

[tex]p(t) =100[/tex]

So, we have:

[tex]100 = t^2 - 20t + 175[/tex]

Rewrite as:

[tex]t^2 - 20t + 175 - 100 = 0[/tex]

[tex]t^2 - 20t + 75= 0[/tex]

Solving (b): Calculate t, in (a)

In a, we have:

[tex]t^2 - 20t + 75= 0[/tex]

Expand

[tex]t^2 - 15t -5t + 75= 0[/tex]

Factorize

[tex]t(t - 15) -5(t - 15)= 0[/tex]

Factor out t - 15

[tex](t - 5)(t - 15)= 0[/tex]

Split

[tex]t - 5 = 0; t - 15 =0[/tex]

Solve

[tex]t = 5; t -=15[/tex]

The prices are $5 and $15, respectively

Answer:

13.5

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

[tex]7x-4y>-4[/tex]

[tex]7(-9)-4(7)>-4[/tex]

[tex](-63)-(28)>-4[/tex]

[tex](-91)>-4[/tex]

[tex](-9,7)[/tex] is not a solution to the system of inequality

Answer: Initial height before launch

Step-by-step explanation:

Given

The equation [tex]y=-9.8t+109.7t+7.4[/tex]  the height of toy rocket after t sec

when the rocket is launched, time is [tex]t=0[/tex]

Substituting 0 for [tex]t[/tex] in the equation

[tex]\Rightarrow y(0)=-9.8(0)+109.7(0)+7.4\\\Rightarrow y(0)=7.4[/tex]

Here, [tex]7.4[/tex] represents that rocket is already at a height of [tex]7.4[/tex] m before the launch.

Answer:

256

Step-by-step explanation:

4^4^4 = 4^(4^4) = 4^256

so written in base 4, there will be 256 zeroes after a 1.

This translates to approximately 154 digits in decimal.

Just like 2^2^2 =  2^4

there will be four zeroes after a 1.

2^2^2=2^(2^2) = 2^4 = 16 = 10000 (16 in base 2).

Answer:

6 cm

Step-by-step explanation:

To find the range take the largest number and subtract the smallest number

The largest number is 141 and the smallest number is 135

141 - 135 = 6 cm

Answer:

He will have to cut off 1.25 inches.

Step-by-step explanation:

Take 5% of 5 inches

0.05(5)=0.25 inches

5 inches - 0.25 inches= 4.75 inches

4.75 inches is how wide the wood is after it shrinks.

Find how much he needs to cut off

4.75 inches - 3.5 inches=1.25 inches

He will need to cut off 1.25 inches in order for the block to fit exactly.

Answer:

The value of the mutual force between them is 3.6 x 10⁶ N

Step-by-step explanation:

Given;

distance between the two-point charges, r = 2000 m

the value of the two-point charges, q₁ and q₂ = 40 C and -40 C

Coulomb's constant, k = 9 x 10⁹ Nm²/C²

The value of the mutual force between them is calculated by applying Coulomb's law;

[tex]F = \frac{K|q_1|q_2|}{r^2} \\\\F = \frac{(9 \times 10^9)(40\times 40)}{(2000)^2} \\\\F = 3.6 \times 10^6 \ N[/tex]

Therefore, the value of the mutual force between them is 3.6 x 10⁶ N.

Answer:

102.222 square yards of light.

Step-by-step explanation:

From the above question, the yard had the dimensions 40 feet long and 23 feet wide.

Hence, the yard is rectangular in shape.

We have to find the area of the yard.

The formula is given as:

Area = Length × Width

= 40 feet × 23 feet

= 920 square feet

Converting to yards

1 square foot = 0.111 square yard

920 square feet = x

Cross Multiply

x = 920 × 0.111 square yard

x = 102.222 square yards.

Therefore, Robbert would need 102.222 square yards of light.

Answer:

subject

Step-by-step explanation:

subject is a noun (person, place or thing)

verb is doing something *example: running

object is a thing *example: apple

conjunction is a word used to connect sentences *example: but

Answer

27^0.5+0.25 or 3^0.5+0.25

3^2t + 1/4 expression is equivalent to 81^0.5t+0.25​.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression  81^0.5t+0.25​

Simplifying the given expression:

=> 81^0.5t+0.25​

Simplify using the exponent power rule: (a^m)^n = (a)^mn

Convert decimal to fraction:

=> (3⁴ )^0.5t + 25/100

Cross out the common factor:

=> 3^2t + 1/4

therefore, 3^2t + 1/4 expression is equivalent to 81^0.5t+0.25​.

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Answer:

I think it is the 5th one if im wrong i am sorry

Step-by-step explanation:

Answer:

E.

Step-by-step explanation:

We should multiply the expression by (9+√14) fraction.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

To rationalize the terms, we multiply both the denominator and denominator by the conjugate of the denominator.

The denominator is 9-√14 and its conjugate is; (9+√14).

(5-√7)/(9-√14) = (5-√7)(9+√14)/(9-√14)(9+√14)

                       =  (5-√7)(9+√14)/(9²-14)

                      = (45 + 5√14 - 9√7 - √98)/(81-14)

                       =  (45 + 5√14 - 9√7 - √98)/67

                       = (45 + 5√14 - 9√7 - 7√2)67

This is the rationalized expression.  

The denominator is (9-√14) and its conjugate is (9+√14).

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Answer:

She will need 21.3 total wire.

Answer:

21.26 ft

Step-by-step explanation:

For calculating, you need to use the Pythagorean theorem:

length of one cable = [tex]\sqrt{7^2+8^2}[/tex]= 10,63 ft

length of two cable = 10,63*2 = 21,26 ft

Step-by-step explanation:

[tex] \frac{ - 5 - 3}{6 - 3} [/tex]

which is

[tex] \frac{ - 8}{3} [/tex]

The value of x that makes ABCD a parallelogram is C. x = 70°.

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Given that ABCD is a parallelogram.

We know that opposite angles of a parallelogram are equal.

It is already given.

Also, adjacent angles of a parallelogram is equal to 180°.

So,

x + 40 + 70 = 180

x + 110 = 180

x = 180 - 110

x = 70

Hence the correct option is C. x = 70°.

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Answer:

4)56yards²

5)336 yards²

6)375yards²

Step-by-step explanation:

from the graph we acquire that

remember that,

[tex] \displaystyle A _{ \text{rect}} = l \times w[/tex]

thus substitute:

[tex] \displaystyle A _{ \text{rect}} = 4 \times 3.5 \: [/tex]

simplify multiplication:

[tex] \displaystyle A _{ \text{rect}} = 14\: [/tex]

14 means that the rectangle has 14 squares

so,

[tex] \displaystyle 1 \: \text{square} \implies 4 \: { \text{yards}}^{2} \\ 14 \: \text{square} \implies 14 \times 4 \: { \text{yards}}^{2} \\ \qquad = 56 \: { \text{yards}}^{2} [/tex]

likewise

from the graph we acquire that

likewise

[tex] \displaystyle A _{ \text{rect}} = 6 \times 3.5 \: [/tex]

simplify multiplication:

[tex] \displaystyle A _{ \text{rect}} = 21[/tex]

so,

[tex] \displaystyle 1 \: \text{square} \implies 16 \: { \text{yards}}^{2} \\ 21 \: \text{square} \implies 16 \times 21 \: { \text{yards}}^{2} \\ \qquad = 336\: { \text{yards}}^{2} [/tex]

likewise

[tex] \displaystyle A _{ \text{rect}} = 6 \times 2.5 \: [/tex]

simplify multiplication:

[tex] \displaystyle A _{ \text{rect}} = 15[/tex]

so,

[tex] \displaystyle 1 \: \text{square} \implies 25 \: { \text{yards}}^{2} \\ 15 \: \text{square} \implies 15 \times 25 \: { \text{yards}}^{2} \\ \qquad = 375\: { \text{yards}}^{2} [/tex]