Find the exact Value
Sin 75 - sin 15° using
sum-to product formula​

Answer:

6

Step-by-step explanation:

this is the answer. have a great day.

Answer:

18 pizzas

Step-by-step explanation:

Answer:

Not enough information.

Step-by-step explanation:

What kind of table do you want.

Answer:

I had the same question, it would be -15 because in the video on the assignment it says the answers are the opposite.

Step-by-step explanation:

Answer:

3 1/4 + 4 2/5 + 6 1/2 = 14.15 hours

Step-by-step explanation:

Answer:

I think it's 1.5 I'm not sure ._.

Answer:

1/3

Step-by-step explanation:

Total students = 36

No of boys = 24

No of girls = 36 - 24 = 12

Probability of selecting a girl = 12/36 = 1/3

Answer:

583

Step-by-step explanation:

Answer:

On the dive boat deck

Step-by-step explanation:

This is above the water level and water level is considered to be 0

pls love me <3

The probability that a student has a dog given they do not have a cat is 0.1333.

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

Total number of students = 30

[tex]n(s)=30[/tex]

Number of students have cat = 16

Number of students have dog = 15

Number of students have a cat and a dog = 11

The event is the probability that a student has a dog given they do not have a cat,

[tex]n(e)=15-11[/tex]

⇒ [tex]4[/tex]

Thus the probability that a student has a dog given they do not have a cat is

⇒ [tex]P(e)=\frac{n(e)}{n(s)}[/tex]

⇒ [tex]P(e)=\frac{4}{30}[/tex]

⇒ [tex]P(e)=0.1333[/tex]

Hence we can conclude that the probability that a student has a dog given they do not have a cat is 0.1333.

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Answer:

Step-by-step explanation:

[tex]\frac{15}{1000} \times 100=1.5[/tex]

Answer:

36 cm squared is the anwer

Answer:

96cm²

Step-by-step explanation:

you must find the surface area of each side then add it all up

Answer:

x=35, y=21

Step-by-step explanation:

A way to rewrite the first equation is  [tex]\frac{x}{y} =\frac{5}{3}[/tex]

after cross-multiplying, we get 3x=5y.

If we solve for one variable, we can substitute it into the other equation.

Let's solve for x.

3x=5y

x=(5/3)y

Now, we can substitute x=(5/3)y in the equation x+y=56.

(5/3)y+y=56

(8/3)y=56

y=21

Going back to x+y=56, we can now plug back in y, knowing that it is 21.

x+21=56

x=35.

Answer:

D

Step-by-step explanation:

Answer:

4 sq un

Step-by-step explanation:

Answer:

x = 97

Step-by-step explanation:

a^2 + b^2 = c^2

(65^2) + (72^2) = c^2

4,225 + 5,184 = c^2

9,409 = c^2

√9,409 = 97 = c^2

97 = c

97 = x

The net that can be folded to form a triangular pyramid is net b

From the question, we have the following parameters that can be used in our computation:

The nets in the list of options

As a general rule, a triangular pyramid has 4 triangles such that

Three triangles are adjacent and one triangle is at the top or at the bottom

using the above as a guide, we have the following:

The net that can be folded to form a triangular pyramid is net b

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Answer:

1302

Step-by-step explanation:

9514 1404 393

Answer:

  (676 -169π) ft²

Step-by-step explanation:

The area of the square is ...

  A = s² = (26 ft)² = 676 ft²

The area of the circle is ...

  A = πr² = π(13 ft)² = 169π ft²

Then the shaded area is ...

  (676 -169π) ft²

The statement three minus the product of seven and four is given by the expression 3 - (7 * 4)

An equation is an expression used to show the relationship between two or more numbers and variables.

Given the statement three minus the product of seven and four, this is an expression:

3 - (7 * 4)

The statement three minus the product of seven and four is given by the expression 3 - (7 * 4)

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Answer:

B) 60.21 ft²

Step-by-step explanation:

Area of a triangle = 1/2bh

You can‘t used mixed measurements (feet and inches), so you have to convert each length to inches

8’6”=102’

14’2”=170’

Now find the area

1/2 x 102 x 170 = 8670 in²

This is one of the answers, but the quetion asks how many quart feet you need.

So, convert it back to feet.

8670 x 0.06944444444 = 60.2083333

(You could also have converted the two lengths to feet. 8’6” = 8.5 ft.  14’2” = 14.16666666.  This way would probably have been faster.

1/2 x 8.5 x 14.166666 = 60.20833333)

Answer:

$3.25

Step-by-step explanation:

Given that:

Mean, λ = 1.4

Strike within next minute = $3 won

Strike between one and 2 minutes = $5

Strike more than 2 minutes = $1

Probability that next strike occurs within the next minute :

Using poisson :

P(x < 1) = 1 - e^-(λx) ;

P(x < 1) = 1 - e^-(1.4*1) = 1 - e^-1.4

P(x < 1) = 1 - 0.2465969

P(x < 1) = 0.7534030

Next strike occurs between 1 and 2 minutes :

(1 < x < 2) :

P(x < 2) - P(x < 1)

P(x < 2) = 1 - e^-(λx) ;

P(x < 2) = 1 - e^-(1.4*2) = 1 - e^-2.8

P(x < 2) = 1 - 0.0608100

P(x < 2) = 0.9391899

P(x < 2) - P(x < 1)

0.9391899 - 0.7534030 = 0.1857869

P(striking after 2 minutes)

P(x > 2) = e^-(λx) ;

P(x > 2) = e^-(1.4*2) = e^-2.8

P(x > 2) = 0.0608100

Amount charged :

(0.7534030 * 3) + (0.1857869 * 5) + (0.06081 * 1)

= 3.2499

= $3.25

Answer:

B

Step-by-step explanation:

Answer:

Your answer is 1500

Step-by-step explanation:

Hope this helped

Answer:

C

Step-by-step explanation:

Edge 2021

Answer:

Total cost of patio = $560

Step-by-step explanation:

Given:

Length of patio = 14 m

Width of patio = 8 m

Height of patio = 1 m

Cost of 1 m³ concrete = $5

Find:

Total cost of patio

Computation:

Volume of patio = l x b x h

Volume of patio = 14 x 8 x 1

Volume of patio = 112 m³

Total cost of patio = Volume of patio x $5

Total cost of patio = 112 x $5

Total cost of patio = $560

Answer:

width equals 16

length = 20

Step-by-step explanation:

Hello there!

we know that the perimeter is 72 m

and the width is 4 m less then the length

perimeter is 2w+2l

w=width and l = length

72 + (2x-4) = 72+8 = 80

80 / 4 (because there are 4 values, w, w, l, l ) = 20

so now...

20 - 4 = w

16 = w

and 20 = l

16+16 = 32

20+20 = 40

32+40 = 72

Answer:

1. 336

2. 9

3. 14

Step-by-step explanation:

He wraps 42 gifts/3hours

24 hours is 8 "3 hours"

42 hours per 3 gifts * 8 "3 hours" = 336 gifts

126 gifts is 3 "42 gifts"

3 hours per 42 gifts * 3 "42 gifts" = 9 hours

He wraps 42 gifts/3hours

divide these values by 3 and you get  14 gifts/one hour

14 gifts every one hour

Answer:

61

Step-by-step explanation:

Arc AC = 180

Arc DC = 58

Arc AC = Arc AD + Arc DC

180 = Arc AD + 58

122 = Arc DC

Tangent Chord Angle = 1/2Intercepted Arc

Angle DBA = 1/2 Arc DC

Angle DBA = 1/2 (122)

Angle DBA = 61

Answer:

10.224 < μ < 12.622 ;

Since the mean weight of 2-montj old baby boys (13.9) falls outside the confidence interval, we can conclude that it is not reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys.

Step-by-step explanation:

The confidence interval is given as :

Mean ± Margin of Error

margin of error = Zcritical * standard deviation /sqrt(n)

n = sample size

From the data:

12.32, 11.87, 12.34, 11.48, 12.66, 8.51, 14.13, 12.95, 9.34, 8.63

From the data:

Using calculator :

Mean, = 11.423

Standard deviation, s = 1.934

Zcritical at 95% confidence interval = 1.96

Sample size, n = 10

Margin of Error = 1.96* 1.934/sqrt(10) = 1.199

Lower boundary = 11.423 - 1.199 = 10.224

Upper boundary = 11.423 + 1.199 = 12.622

10.224 < μ < 12.622

Since the mean weight of 2-montj old baby boys (13.9) falls outside the confidence interval, we can conclude that it is not reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys.

9514 1404 393

Answer:

  D  120

Step-by-step explanation:

We are given the relation ...

  48 = 0.40 × sales

Dividing by 0.40 gives the sales for the day.

  sales = 48/0.40 = 120

120 milkshakes were sold that day.