Which sequence of transformations carries ABCD onto HGFE?
A. Reflection across the x-axis followed by rotation of 90counterclockwise about the origin
B. Translation of three units up followed by reflection across the y-axis
C. Rotation of 90 clockwise about the origin followed by reflection across the x-axis
D. Translation of eight units to the left followed by reflection across the x-axis

Answer:

its B beacause i checked multiple times

Answer:

Mariam went to the store 5 times, while Sana went 3 times.

Step-by-step explanation:

Since Mariam and Sana are excited that a new store just opened in town, and they go together the first day it opens, and each time Mariam goes to the store she plans to spend Rs. 30, and each time Sana goes to the store she plans to spend Rs. 50, and a few weeks from now, Mariam and Sana are surprised to find out that they have spent the exact same total amount of money at the store, to determine what is the least possible number of times that Mariam has been to the store the following mathematical reasoning has to be done:

To know how many times Mariam went and how many times Sana went to the store, since she spends Rs. 30 and the other Rs. 50, and they have spent the same after a few weeks, it is through the search for the lower common multiple of both numbers.

Thus, the common multiple less than 30 and 50 is 150 (30 x 5 or 50 x 3). Therefore, Mariam went to the store 5 times, while Sana went 3 times.

Answer:

a) mean = 24, standard deviation = 3.098386

b) the probability of exactly 27 ​successes is 0.08265

c) the probability of fewer than 30 ​successes is 0.96478

d) the probability of more than 20 ​successes is 0.8702

Step-by-step explanation:

Given the data in the question,

p = 0.60

n = 40

a) mean and standard deviation;

mean = np = 40 × 0.6

mean = 24

we know that Variance = np( 1 - p )

so standard deviation S.D = √( np( 1 - p ) )

S.D = √( 40 × 0.6( 1 - 0.6 ) )

S.D = √( 24( 0.4) )

S.D = √9.6

S.D = 3.098386

standard deviation = 3.098386

b) the probability of exactly 27 ​successes

P(  x=27 ) = ⁴⁰C₂₇ × ( 0.6 )²⁷ × ( 0.4 )⁽⁴⁰⁻²⁷⁾

= ⁴⁰C₂₇ × ( 0.6 )²⁷ × ( 0.4 )¹³

= [40! / ( 27!( 40 - 27 )! )] × ( 0.6 )²⁷ × ( 0.4 )¹³

= 0.08265

Hence, the probability of exactly 27 ​successes is 0.08265

c)  the probability of fewer than 30 ​successes.

P( x < 30 ) = 1 - P( x ≥ 30 )

= 1 - 0.3522248

= 0.96478

Hence, the probability of fewer than 30 ​successes is 0.96478

d) the probability of more than 20 ​successes.

p( x > 20 ) = 1 - P( x ≤ 20 )

= 1 - 0.1297657

= 0.8702

Hence, the probability of more than 20 ​successes is 0.8702

Answer:

1.5

Step-by-step explanation:

.25*0+1*.25+2*.25+3*.25=1.5

Answer:

Time, t = 5 seconds.

Step-by-step explanation:

Given the following data;

Initial velocity = 16 ft/s

Height = 480 ft

Acceleration due to gravity = 32 ft/s²

To find how much time it will take the ball to reach the ground, we would use the kinematic equation given by the formula;

[tex] d = V_{i}t + \frac {1}{2}at^{2} [/tex]

Where;

Substituting into the equation, we have;

[tex] 480 = 16t + \frac {1}{2}*32t^{2} [/tex]

[tex] 480 = 16t + 16t^{2} [/tex]

Dividing all through by 16, we have;

[tex] 30 = t + t^{2} [/tex]

Re-arranging the quadratic equation, we have;

[tex] t^{2} + t - 30 = 0 [/tex]

We would solve the quadratic equation by factorization;

[tex] t^{2} + 6t - 5t - 30 = 0 [/tex]

[tex] t(t + 6) - 5(t + 6) = 0[/tex]

[tex] (t + 6)(t - 5) = 0 [/tex]

t = -6 or 5

Since we know time can't be negative, we would ignore the value of -6.

Therefore, time = 5 seconds

9514 1404 393

Answer:

  AB = 7 9/10

Step-by-step explanation:

For collinear line segments, the whole is the sum of the parts.

  AB = AD + BD

  AB = 3.5 +4.4 = 7.9

  AB = 7 9/10

Answer:

- 3x = 21

Step-by-step explanation:

- 3x - 5 = 16

- 3x - 5 + 5 = 16 + 5

- 3x = 21

- 3x ÷ - 3 = 21 ÷ - 3

x = - 7

Answer:

19/20

Step-by-step explanation:

95%/100=0.95

=95/100

simplified

19/20

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

[tex]\large\text{95\% as a fraction}[/tex]

[tex]\large\text{We know percentages runs out of 100, so we first divide 95} \\\large\text{from 100 and answer that one to actually solve for your answer}[/tex]

[tex]\mathsf{\dfrac{95}{100}}[/tex]

[tex]\boxed{\mathsf{= \bf 0.95}}\large\checkmark[/tex]

[tex]\mathsf{\dfrac{0.95}{1}\times\dfrac{100}{100}}[/tex]

[tex]\large\text{CROSS MULTIPLY}[/tex]

[tex]\mathsf{\dfrac{0.95\times100\leftarrow \bold{numerator}}{1\times100\leftarrow \bold{denominator}}}}[/tex]

[tex]\mathsf{0.95\times100 = \boxed{\bf 95}}\large\checkmark[/tex]

[tex]\mathsf{1\times100=\boxed{\bf 100}}\large\checkmark[/tex]

[tex]\large\text{NEW EQUATION: }\mathsf{\dfrac{95}{100}}[/tex]

[tex]\large\text{FINALLY we simplify the fraction}[/tex]

[tex]\large\text{Each of your numbers are factors of 5, so we divide both numbers by 5}[/tex]

[tex]\mathsf{\dfrac{95\div5}{100\div5}}[/tex]

[tex]\mathsf{95\div 5 = \boxed{\bf 19}\large\checkmark\leftarrow \underline{numerator}}[/tex]

[tex]\mathsf{100\div5 = \boxed{\bf 20}\large\checkmark\leftarrow \underline{denominator}}[/tex]

[tex]\boxed{= \mathsf{\bf\dfrac{19}{20}}}\huge\checkmark[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: }\mathsf{\bf \dfrac{19}{20}}}} \huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

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

Answer:

4.

[tex]x=8\sqrt{3}[/tex]

[tex]y=16[/tex]

5.

[tex]x=3[/tex]

[tex]y=3\sqrt{3}[/tex]

Step-by-step explanation:

The sides of a (30 - 60 - 90) triangle follow the following proportion,

[tex]a-a\sqrt{3}-2a[/tex]

Where (a) is the side opposite the (30) degree angle, ([tex]a\sqrt{3}[/tex]) is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,

4.

It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.

The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times ([tex]\sqrt{3}[/tex]). Thus the following statement can be made,

[tex]x=8\sqrt{3}[/tex]

The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,

[tex]y=16[/tex]

5.

In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,

The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,

[tex]y=3\sqrt{3}[/tex]

The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,

[tex]x=3[/tex]

Answer:

0.333

Step-by-step explanation:

2^4-6(6)+3(6)÷2×3

=16-36+18÷6

=-2÷6=0.333

17 and 4, the two y values, are in the wrong place and should be swapped

Answer:

The correct answer is B.

Step-by-step explanation:

The area of the closest answer is 30 since the actual area is 28 square inches.

Answer:

x=3

Step-by-step explanation:

2 triangles are proportional so we have

4/6=x/4,5

--> x=(4.4,5)/6=3

You can also use sin cos but this way is faster

Answer:

B. Multiply the divisor and dividend by 100.

Step-by-step explanation:

Multiply by 100 to get rid of the decimal

Answer:

B. Multiply the divisor and the dividend by 100

Step-by-step explanation:

i did the question on a test

Answer:

- 10

Step-by-step explanation:

-6+8×5÷-10

-6+40÷-10

-6-4

-10

Answer and Step-by-step explanation:

According to PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction),

First we multiply, then divide, then finally add/subtract.

-8 times 5 is -40.

-40 divided by -10 is 4.

-6 - 4 = -10

The answer to the expression is -10.

#teamtrees #PAW (Plant And Water)

Answer and Step-by-step explanation:

Add together the hours, then divide the amount earned by the total amount of  hours.

3 + 5 = 8

105 ÷ 8 = $13.125 (which would round up to 13.13) [About $13.13] is earned per hour.

#teamtrees #PAW (Plant And Water)

==========================================================

Explanation:

Define the events

The given probabilities are

The notation "P(F given H)" refers to conditional probability. If we know the person ordered a burger, then it changes the P(F) from 0.50 to 0.80; hence the events H and F are dependent.

----------------------

We want to find the value of P(H and F), which is the same as P(F and H)

We can use the conditional probability formula

P(F given H) = P(F and H)/P(H)

P(H)*P(F given H) = P(F and H)

P(F and H) = P(H)*P(F given H)

P(F and H) = 0.60*0.80

P(F and H) = 0.48

There's a 48% chance someone orders a burger and fries.

9514 1404 393

Answer:

  D.  30

Step-by-step explanation:

3 3/4 inches on the map is 15/4 inches = 15×(1/4 inch).

Then the actual distance is 15×(2 miles) = 30 miles.

Answer:

D) 30

Step-by-step explanation:

1/4 inch = 2 miles

How many 1/4's do you have?

3 3/4 inches= 15/4 inches

15 x 2 = 30

Answer:

3/5

Step-by-step explanation:

We calculate the value of cos for an angle by dividing the adjacent angle to hypotenuse so the option with 3/5 (simplified fraction of 18/30) is the correct answer.

Answer:

Last option (1/2)^3 = .125

Step-by-step explanation:

1/2 (1.035)^5 =0.579637

(2/3)^2 = 4/9 = .4444

.2^2/.3^2 = 0.04/0.09 = .44444

(1/2)^3 = 1/8 = .125

So we can clearly see the last one as the answer

Answer:

Its 9.

Step-by-step explanation:

First you do the math inside the parenthesis (13), then your gonna multiply 7 by the numbers you got in the parenthesis (7*13), finally subtract 82 from 7*13 and you get your answer, 9.

( 10+3)-82= -69

13- 82 =69

Answer:

-5

4

Step-by-step explanation:

x + x² = 20

x² + x - 20 = 0

Factor

(x + 5)(x - 4) = 0

x = {-5, 4}

-5 + 25 = 20

4 + 16 = 20

Answer:

31(given degree) + a(unknown degree) = 90 degrees(right angle shown is equal to 90 degrees)

31 + a = 90

-31        -31

A = 59 degrees.

Answer:

Step-by-step explanation:

[tex]Rate \ of\ change =\frac{f(6)-f(2)}{6-2}[/tex]

                         [tex]=\frac{11-(-5)}{6-2} =\frac{11+5}{4}=\frac{16}{4}=4[/tex]

Answer:

482

Step-by-step explanation:

4 is the square of 2 and 2*4 = 8.

Answer:

15

hope this helps

have a good day :)

Step-by-step explanation:

9/15 and 2/15 just

the mutiples of 5=5, 10, 15, 20

the multiples of 15=15, 30, 45, 60

so the common denominator is 15 so multiple 5 and 3 to get the denominator is 15 and the numerator of 9

Answer:

15.

Step-by-step explanation:

LCD: THE SMALLEST MULTIPLE TWO OR MORE DENOMINATORS HAVE IN COMMON.

An easy way to find the least common denominator (LCD), is by listing the multiples of the denominators and circling the smallest multiple that both denominators have in common.

SOLVE:

[tex]5: 5, 10, 15, 20, 25, 30, 35, 40.[/tex]

[tex]15, 15, 30, 45, 60, 75, 90, 105, 120.[/tex]

The smallest multiply both numbers have in common is 15.

I, Therefore, believe the LCD for 3/5 and 2/5 is 15.

Answer

72is the multiple of 9

Answer:

73,63

Step-by-step explanation:

it just goes down by 2 everytime

Answer:

a. .0554

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability of success is .06.

This means that [tex]p = 0.06[/tex]

What is the probability of two successes in seven trials?

This is P(X = 2) when n = 7. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{7,2}.(0.06)^{2}.(0.94)^{5} = 0.054[/tex]

The correct answer is given by option a.