what are scale drawings

Answer:

0.71 = 71% probability that she or he used the lab on a regular basis.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Student got an A

Event B: Used the lab on a regular basis.

Probability of an student getting an A:

55% of 40%(go to the lab on a regular basis).

15% of 100 - 40 = 60%(do not go to the lab on a regular basis).

So

[tex]P(A) = 0.55*0.4 + 0.15*0.6 = 0.31[/tex]

Probability of getting an A and using the lab on a regular basis:

55% of 40%, so:

[tex]P(A \cap B) = 0.55*0.4 = 0.22[/tex]

Probability that she or he used the lab on a regular basis.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.22}{0.31} = 0.71[/tex]

0.71 = 71% probability that she or he used the lab on a regular basis.

Answer:

x = -7

Step-by-step explanation:

-7x + 2 = 51

-7x = 51 - 2

-7x = 49

x = -7

Answer:

15/19

Step-by-step explanation:

6/x +2/5 = 8

(multiply through by x)

6 + 2x/5 = 8x

(minus 8x from both sides)

-38x/5 + 6 = 0

(subtract 6 from both sides)

-38x/5 = -6

(times by -1)

38x/5 = 6

Times 6 by 5 and then divide by 38.

=15/19

[tex]\pink{\bigstar}[/tex] Value of x [tex]\large\leadsto\boxed{\tt\purple{\dfrac{15}{19}}}[/tex]

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➪ [tex]\sf \dfrac{6}{x} = 8 - \dfrac{2}{5}[/tex]

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• Taking L.C.M:-

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➪ [tex]\sf \dfrac{6}{x} = \dfrac{40-2}{5}[/tex]

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➪ [tex]\sf \dfrac{6}{x} = \dfrac{38}{5}[/tex]

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• Cross multiplying:-

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➪ [tex]\sf 6 \times 5 = 38 \times x[/tex]

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➪ [tex]\sf 30 = 38 \times x[/tex]

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• Taking x term one side:-

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➪ [tex]\sf x = \dfrac{30}{38}[/tex]

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• Simplifying the fraction:-

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➪ [tex]\large{\bold\red{x = \dfrac{15}{19}}}[/tex]

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Therefore, value of x is 15/19.

Answer:

A

Step-by-step explanation:

FV=PV(1+i)^t

2500(1+.03)^4

A

Answer:

A

Step-by-step explanation:

It is the only one that shows 3% = 0.03 which is correct.

Answer:

Step-by-step explanation:

f(x)=7(x^2+3x-10)=7(x+2)(x-5)

Answer:

72

Step-by-step explanation:

find the small square first. to find the height, subtract 3 from 9. you get 6. then to find the length, subtract 6 from 12. you also get 6. so the square is 6x6 which equals 36. then go to the top rectangle. hieght is 3 and length is 12. 3x12 is also 36. 36+36 is 72.

pls mark brainliest.

Answer:

y=14

Step-by-step explanation:

solve for y by simplifying both sides of the equation then insolating the variable

Answer:

9/10

Step-by-step explanation:

=

7

10

+

20

100

=

7

10

+

1

5

=

7

10

+

2

10

=

7+2

10

=

9

10

(Decimal: 0.9)

Answer:

[tex]\frac{9}{10}[/tex]

Step-by-step explanation:

[tex]\frac{20}{100} = \frac{2}{10}[/tex]

[tex]\frac{7}{10} + \frac{2}{10} = \frac{9}{10}[/tex]

Answer:

y=-2x+7

Step-by-step explanation:

slope intercept form is equal to y=mx+c

where y is the y value

x is the x value

m is the gradient

and c is the y intercept

so the equation for this set of values is equal to

y=-2x+7

slope will be the m

and b is the y intercept

y＝mx＋b

y＝-2x＋7

Answer:

a. 17  b. 51

Step-by-step explanation:

Follow Order of Operations (PEMDAS):

Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

a.  9 + 4² - (4-2) • 4

9 + 4² - (4-2) • 4 –––Start with (4-2) = 2 (parentheses)

9 + 4² - 2 • 4 ––– 4² (exponents)

9 + 16 - 2 • 4 ––– 2 • 4 (multiplication)

9 + 16 - 8 ––– 9 + 16 (addition)

25 - 8 ––– 25 - 8 (subtraction)

17

b. 15 - 4 + 2(7-3) • 5

15 - 4 + 2(7-3) • 5 ––– Start with 2(7-3)

~ Note: this can be done using distributive property (2•7 - 2•3) OR solving the parentheses first and then multiplying 2(4). Both get 8 and same end result.

15 - 4 + 8 • 5 ––– 8 • 5 (multiplication)

15 - 4 + 40 ––– 15 - 4 (subtraction) *Note: Subtraction and addition are interchangeable in the order because you do it left to right*

11 + 40 ––– 11 + 40 (addition)

51

Answer:

(a. 7)  (b. 51)

Step-by-step explanation:

A.

[tex]9 + 4^{2} - (4-2) * 4\\\\9 + 4^{2} - (2) * 4\\9 + 16 - 2 * 4\\9 + 16 - 8\\25 - 8\\17 \\[/tex]

B.

[tex]15 - 4 + 2 (7 - 3) * 5\\15 - 4 + 2 (4) * 5\\15-4+(2*4*5 )\\15-4+40\\11 + 40\\51[/tex]

(I don't know the numerical values)

Answer:

7

Step-by-step explanation:

The largest value in the list is 11.

A list is a structure consisting of an ordered set of numbers.

"The range is the difference between the smallest and highest numbers in a list."

For given example,

The range for the given list is 7 and the smallest value is 4.

Let R be the range of the list.

⇒ R = 7

Let S be the smallest value in the list.

⇒ S = 4

Let the largest value in the list be L.

⇒ R = L - S

⇒ 7 = L - 4

⇒ L = 7 + 4

⇒ L = 11

Therefore, the largest value in the list is 11.

Learn more about the range of the list here:

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Answer:

Step-by-step explanation:

12

Answer:

C. Lines with arrows that point outward radiate from the charge in all

directions.

The statement which best describes the electric field around a positive charge is  Lines with arrows that point outward radiate from the charge in all directions, the correct option is C.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that;

The four options

Now,

This is because the electric field at a point in space is in the direction of the force that the electric field would exert on a positive test charge if there were a positive test charge at that point in space1. Because positive charges repel each other, the electric field around an isolated positive charge is oriented radially outward.

Therefore, by unitary method the answer will be Lines with arrows that point outward radiate from the charge in all directions.

Learn more about the unitary method, please visit the link given below;

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Answer:

11. 35 ft²

12. 24 cm²

13. 18 ft²

14. 28 in²

15. 9 in²

Step-by-step explanation:

11. A= (b×h)÷2

= (10×7)÷2

= 70 ÷ 2

= 35 ft²

12. A= (b×h)÷2

= (8×6)÷2

= 48 ÷ 2

= 24 cm²

13. A=(b×h)÷2

=(9×4)÷2

= 36 ÷ 2

= 18 ft²

14. A=(b×h)÷2

=(7×8)÷2

= 56 ÷ 2

= 28 in²

15. A=(b×h)÷2

=(3×6)÷2

= 18 ÷ 2

= 9 in²

Good luck ^_^

Hope this answer your question

Answer:

A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]step - 1 :define[/tex]

[tex]d = rt[/tex]

[tex]step - 2 : solve[/tex]

[tex] \huge \: \boxed { \boxed{ \red{ \therefore t = \frac{d}{r}}}}[/tex]

Answer:

its 1,645.32

Step-by-step explanation:

search one twelfth of 3,478.50, then one twelfth of 1,186 and add those answers with 1,645.32

Answer:

26.37

Step-by-step explanation:

you change 1/10 too 10 percent then you multiply that too  29.30 and you get 2.93 then you subtract 2.93 from 29.30 and you get 26.37 :)

Answer:

its the first one

Step-by-step explanation:

Answer:

$342

Step-by-step explanation:

Complete question

Find the simple interest on $1900 at 9% for 2 years.

Simple interest PRT/100

Given

Principal P = 1900

Rate R = 9%

Time T = 2years

Substitute

Simple interest = 1900*9*2/100

Simple interest  = 19*18

Simple interest  = $342

Hence the simple interest on $1900 at 9% for 2 years is $342

Answer:

b(2,-2)

Step-by-step explanation:

x= 2 and y=-2

let me know if you want further eplanation

Answer:

negative 7 is first then comes 2.  negative 9 is first then comes 8.

Step-by-step explanation:

Answer:

6.3

Step-by-step explanation:

Answer:

The enlarged picture will have a width of 35.8 cm

Step-by-step explanation:

We can solve this question by proportions, using rule of three.

When the length is of 15 centimeters, the width will be of 14.5 centimeters. What is the width when the length is 37 centimeters?

15 cm - 14.5 cm

37 cm - x

Applying cross multiplication

[tex]15x = 14.5*37[/tex]

[tex]x = \frac{14.5*37}{15}[/tex]

[tex]x = 35.8[/tex]

The enlarged picture will have a width of 35.8 cm

Answer:

36.25 cm

Step-by-step explanation:

37.5 divided by 15 is 2.5 then multiply 14.5 by 2.5 and your answer will be 36.25 cm.

I hope this helps the last answer you got was close but incorrect. I really hope I get brainlyiest. :)

Answer:

Step-by-step explanation:

Amanda will record 32 names for the five previous generations.

Given is that Amanda is researching her ancestry. She records names and birth dates for her parents, their parents and so on, in an online research tool.

We can write the series as -

               Amanda

     {M}                        {F}

{M}       {F}             {M}       {F}

.

.

so on

We can write the sequence as -

2, 4, 8, ....

It is a geometric sequence. For n = 5, we can write -

a(5) = arⁿ⁻¹

a(5) = 2 x (2)⁴

a(5) = 2⁵

a(5) = 2 x 2 x 2 x 2 x 2

a(5) = 32

Therefore, she will record 32 names for the five previous generations.

To solve more questions on functions, expressions and polynomials, visit the link below -

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Answer:

$294

Step-by-step explanation:

8(36.75) = $294

Answer:

294

Step-by-step explanation:

8(36.75)

= $294

Answer:

B

Step-by-step explanation:

6 miles............