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Alenkasestr [34]
2 years ago
12

Please simplify this problem

Mathematics
2 answers:
ziro4ka [17]2 years ago
8 0

Answer:

..

Step-by-step explanation:

alexdok [17]2 years ago
4 0

Answer:

0.982

Step-by-step explanation:

cos 88°*cos 77° + sin 88°*sin 77°

= cos (88°-77°)

= cos 11°

= 0.982

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A study was done to compare people's religion with how many days that they have said they have been calm in the past three days.
nadezda [96]

Answer:

The probability of the number of Protestants that were calm for 2 out of 3 days is 0.061.

Step-by-step explanation:

Represent the provided data as follows:

Compute the probability of the number of Protestants that were calm for 2 out of 3 days as follows:

P (Calm\ for\ 2\ days\ |\ Protestants) = \frac{n (Protestants\ who\ were\ calm\ for\ 2\ days}{n (Protestants}

The number of Protestants surveyed is, <em>n</em> (Protestants) = 99.

The number of Protestants who were calm for 2 days,

<em>n</em> (Protestants who were calm for 2 days) = 6

The required probability is:

P (Calm\ for\ 2\ days\ |\ Protestants) = \frac{n (Protestants\ who\ were\ calm\ for\ 2\ days}{n (Protestants}\\=\frac{6}{99}\\ =0.060606\\\approx0.061

Thus, the probability of the number of Protestants that were calm for 2 out of 3 days is 0.061.

3 0
2 years ago
An item costs S430 before tax, and the sales tax is $17.20.
Ronch [10]

Answer:

Step-by-step explanation:

430

x4%

_________

$17.20+ $430= $447.20

5 0
2 years ago
The volume of a cylinder is 156 x cm3. What is the volume of a cone with the same base and height as the cylinder?
Flura [38]

Answer: SECOND OPTION (52 cm³)

Step-by-step explanation:

The formula for calculate the volume of a cone is:

V{co}=\frac{1}{3}r^{2}h\pi

Where r is the radius and h is the height.

 The formula for calculate the volume of a cylinder is:

V{cy}=r^{2}h\pi

Where r is the radius and h is the height.

As you can see, the difference between the the formulas is that r²hπ of the cone is divided by 3. Therefore, if you know the volume of the cylinder and you know that the cone has the same base and height as the cylinder, you have to divide the volume of the cylinder by 3 to obtain the volume of the cone.

Therefore, the result is:

V{co}=\frac{156cm^3}{3}=52cm^3

7 0
2 years ago
Read 2 more answers
The sales tax on a $25,000 car is $1375. What is the sales tax rate?
Slav-nsk [51]

Answer:

$11 sales tax per $200

Step-by-step explanation:

1375/25,000 = 11/200

8 0
2 years ago
Read 2 more answers
When solving for x, what is x squared plus 15 equals -8x
VLD [36.1K]

Answer:

x = - 5, x = - 3

Step-by-step explanation:

Given

x² + 15 = - 8x ( add 8x to both sides )

x² + 8x + 15 = 0 ← in standard form

Consider the factors of the constant term (+ 15) which sum to give the coefficient of the x- term (+ 8)

The factors are 5 and 3, since

5 × 3 = 15 and 5 + 3= 8, thus

(x + 5)(x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x + 3 = 0 ⇒ x = - 3

5 0
3 years ago
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