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mina [271]
2 years ago
10

Find the total cost for a meal that costs $65 with 3% tax.

Mathematics
2 answers:
olga55 [171]2 years ago
5 0

Answer:

total cost =

65/100 X 103= $66.95

Rudik [331]2 years ago
5 0

Answer:

$69.88

Step-by-step explanation:

Firstly, divide the tax rate by 100: 3%/100 = 0.0003 (tax rate as a decimal). Note: to easily divide by 100, just move the decimal point two spaces to the left.

Now, find the tax value by multiplying tax rate by the before tax price:

tax = 65 × 0.0003

tax = 4.88 (tax value rouded to 2 decimals)

Add tax to the before tax price to get the final price:

The final price including tax = 65 + 4.88 = 69.88

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F(x)=(-3x+2) and g(x)=(2x^2-5x-1)
pashok25 [27]

Answer: -6x² + 15x + 5

Step-by-step explanation:

To solve this problem, you only need to substitute g(x)'s equation as the value of the x in f(x), then simplify.

Step 1: f(x) = -3(2x² - 5x - 1) + 2

Step 2: Apply the distributive property

-3(2x²) + -3(-5x) + -3(-1)

-6x² + 15x + 3

Step 3: Simplify

f(x) = -6x² + 15x + 3 + 2

f(x) = -6x² + 15x + 5

6 0
2 years ago
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Ro
puteri [66]

Answer:

(a) P(0 ≤ Z ≤ 2.87)=0.498

(b) P(0 ≤ Z ≤ 2)=0.477

(c) P(−2.20 ≤ Z ≤ 0)=0.486

(d) P(−2.20 ≤ Z ≤ 2.20)=0.972

(e) P(Z ≤ 1.01)=0.844

(f) P(−1.95 ≤ Z)=0.974

(g) P(−1.20 ≤ Z ≤ 2.00)=0.862

(h) P(1.01 ≤ Z ≤ 2.50)=0.150

(i) P(1.20 ≤ Z)=0.115

(j) P(|Z| ≤ 2.50)=0.988

Step-by-step explanation:

(a) P(0 ≤ Z ≤ 2.87)

In this case, this is equal to the difference between P(z<2.87) and P(z<0). The last term is substracting because is the area under the curve that is included in P(z<2.87) but does not correspond because the other condition is that z>0.

P(0 \leq z \leq 2.87)= P(z

(b) P(0 ≤ Z ≤ 2)

This is the same case as point a.

P(0 \leq z \leq 2)= P(z

(c) P(−2.20 ≤ Z ≤ 0)

This is the same case as point a.

P(-2.2 \leq z \leq 0)= P(z

(d) P(−2.20 ≤ Z ≤ 2.20)

This is the same case as point a.

P(-2.2 \leq z \leq 2.2)= P(z

(e) P(Z ≤ 1.01)

This can be calculated simply as the area under the curve for z from -infinity to z=1.01.

P(z\leq1.01)=0.844

(f) P(−1.95 ≤ Z)

This is best expressed as P(z≥-1.95), and is calculated as the area under the curve that goes from z=-1.95 to infininity.

It also can be calculated, thanks to the symmetry in z=0 of the standard normal distribution, as P(z≥-1.95)=P(z≤1.95).

P(z\geq -1.95)=0.974

(g) P(−1.20 ≤ Z ≤ 2.00)

This is the same case as point a.

P(-1.20 \leq z \leq 2.00)= P(z

(h) P(1.01 ≤ Z ≤ 2.50)

This is the same case as point a.

P(1.01 \leq z \leq 2.50)= P(z

(i) P(1.20 ≤ Z)

This is the same case as point f.

P(z\geq 1.20)=0.115

(j) P(|Z| ≤ 2.50)

In this case, the z is expressed in absolute value. If z is positive, it has to be under 2.5. If z is negative, it means it has to be over -2.5. So this probability is translated to P|Z| < 2.50)=P(-2.5<z<2.5) and then solved from there like in point a.

P(|z|

7 0
3 years ago
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katrin [286]

Answer:

i think its A but im not sure

4 0
3 years ago
Read 2 more answers
How do you do the question of 50%of 50 in math like how would you solve it
AveGali [126]

Answer:

25

Step-by-step explanation:

50% is half of something. half of 50 is 25.

Also there is another way to do it. 50/100 = 50%.

50/100 x 50 = 2500/100 = 25.  or 50/100 = 1/2. 1/2 x 50 = 50/2 = 25.

4 0
3 years ago
Solve for x, Correct to one decimal place where 0°&lt;x&lt;90° <br><br><br>Sin2x=0,291​
Ksivusya [100]

Answer:

Step-by-step explanation:

Sin2x=0,291​

  1. Sin2x = 2Sinx * Cosx
5 0
2 years ago
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