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Kaylis [27]
3 years ago
13

Numbers 3 and 4 are difficult

Mathematics
1 answer:
Tju [1.3M]3 years ago
5 0
3) Multiply the price of the item ($40) by the percent of the sales tax (8%).  Then add that to the price of the item to get the total.

=$40 * 8%
=40 * 0.08
=$3.20 tax

=$40 price of item + $3.20 tax
=$43.20 total

5) Multiply the number of students in the band last year (36) by the percentage  increased (125%).

=36 * 125%
=36 * 1.25
=45

Hope this helps!  :)
You might be interested in
Inside the box of every cereal box contains a surprise gift. The store manager assures employees that 22 of the 45 boxes on the
kherson [118]

Answer:

0.2333 = 23.33% probability that both of them have the secret decoder ring

Step-by-step explanation:

The cereals are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

45 boxes, which means that N = 45

22 have the secret decoder ring, which means that k = 22

Two boxes, which means that n = 2

What is the probability that both of them have the secret decoder ring?

This is P(X = 2). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,45,2,22) = \frac{C_{22,2}*C_{23,0}}{C_{45,2}} = 0.2333

0.2333 = 23.33% probability that both of them have the secret decoder ring

8 0
3 years ago
B2-4ac<br> When:<br> a=2<br> b=5<br> C=0
Vera_Pavlovna [14]

Answer: 10

Step-by-step explanation:

5*2-4*2*0

10-0

10

8 0
3 years ago
_+3=-9 pls help I will give branlyiest <br>​
lions [1.4K]
Answer:

-12

Step-by-step explanation:

? + 3 = -9

Subtract 3 from -9

-9 - 3 = -12

? = -12
7 0
3 years ago
Can someone help me please.
Novosadov [1.4K]

Answer:

1 is  6.45

Step-by-step explanation:

3.25+1.55+1.65=6.45

6 0
2 years ago
Find an equation for the perpendicular bisector of the line segment whose endpoints are
Andrew [12]

The equation of the perpendicular bisector is y = -\frac{7}{2} x + 2

Step-by-step explanation:

Let us revise the relation between the slopes of perpendicular lines

  • The product of the slopes of two perpendicular lines is -1
  • That means if the slope of one of them is m, then the slope of the other is -\frac{1}{m}
  • You reciprocal the slope of one and change its sign to find the slope of the other

The mid point of a segment whose endpoints are (x_{1},y_{1}) and (x_{2},y_{2}) is (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

The perpendicular bisector of a line is the line that intersect it in its mid-point and formed 4 right angles

∵ The end point of a given line are (9 , -3) and (-5 , -7)

∴ x_{1}=9 and x_{2}=-5

∴ y_{1}=-3 and y_{2}=-7

- Find the slope of the line by using the rule of the slope m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∵ m=\frac{-7-(-3)}{-5-9}=\frac{-7+3}{-14}=\frac{-4}{-14}=\frac{2}{7}

∴ The slope of the given line is \frac{2}{7}

To find the slope of the perpendicular bisector of it reciprocal it and change its sign

∴ The slope of the perpendicular bisector = -\frac{7}{2}

∵ The form of the linear equation is y = mx + b, where m is the

   slope and b is the y-intercept

- Substitute the value of m in the equation

∴ The equation of the perpendicular bisector is y = -\frac{7}{2} x + b

To find b substitute x and y in the equation by a point on the line

∵ The perpendicular bisector of the given line intersect it at

   its midpoint

- Find the mid-point of the given line busing the rule above

∵ x_{1}=9 and x_{2}=-5

∵ y_{1}=-3 and y_{2}=-7

∴ The mid-point of the given line = (\frac{9+(-5)}{2},\frac{-3+(-7)}{2})=(\frac{4}{2},\frac{-10}{2})=(2,-5)

Point (2 , -5) is also lies on the perpendicular line

∴ x = 2 and y = -5

- Substitute them in the equation

∵ -5 = -\frac{7}{2} (2) + b

∴ -5 = -7 + b

- Add 7 to both sides

∴ 2 = b

- Substitute the value of b in the equation

∴ The equation of the perpendicular bisector is y = -\frac{7}{2} x + 2

The equation of the perpendicular bisector is y = -\frac{7}{2} x + 2

Learn more:

You can learn more about the linear equation in brainly.com/question/11223427

#LearnwithBrainly

8 0
3 years ago
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