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Alex17521 [72]
3 years ago
8

Sophia has $20. She buys a new hair band for $3.99, gum for $2.29, and a brush for$6.75. Not including tax, estimate how much ch

ange she should receive. Shoe your work
Mathematics
1 answer:
aleksandrvk [35]3 years ago
3 0

It says to estimate, so if I'm right, you would round each, add the new totals together, and then subtract that total from 20. 3.99 would be 4 dollars, 2.29 would round down to 2 dollars, and 6.75 rounds up to 7. 4+2+7=13. 20-13=7, so therefore, she would recieve about 7 dollars in change.

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Using isosceles triangle theorems solve for x and y
klio [65]
Well lets start by getting y. We already know that all angles of a triangle will equal 180 degrees.
Therefore we know that 65 + 65 + y = 180. To solve for y we just add the two 65's then subtract that from 180
y = 180-130 = 50 Therefore y = 50

Now lets solve for x. We know that since angle B is flat it is equal to 180. The unknown value of angle B = 180 - 65
Therefore that unknown value = 115

As we previously stated all angles of a triangle equal 180. We can now come up with this equation: 115 + x + x = 180
2x = 65
x = 32.5

<span>Hope this helps! If you have anymore questions just ask!</span>
8 0
3 years ago
Consider a binary code with 5 bits (0 or 1) in each code word. An example of a code word is 01001. In each code word, a bit is z
AleksandrR [38]

Answer:

the probability that a code word contains exactly one zero is 0.0064 (0.64%)

Step-by-step explanation:

Since each bit is independent from the others , then the random variable X= number of 0 s in the code word follows a binomial distribution, where

p(X)= n!/((n-x)!*x!*p^x*(1-p)^(n-x)

where

n= number of independent bits=5

x= number of 0 s

p= probability that a bit is 0 = 0.8

then for x=1

p(1) = n*p*(1-p)^(n-1) = 5*0.8*0.2^4 = 0.0064 (0.64%)

therefore the probability that a code word contains exactly one zero is  0.0064 (0.64%)

3 0
3 years ago
What is 97.6% as a decimal?
VARVARA [1.3K]
Your percentage of 97.6% as a decimal is 0.976
7 0
3 years ago
4. To change .3 to a fraction you must put 3 over what denominator?
Len [333]

Answer:

B) 10

Step-by-step explanation:

3 divided by 10 will give you 0.3

5 0
3 years ago
13= -2(x+1) + 7x solve for x
Veronika [31]

Answer:

x=3

Step-by-step explanation:

13= -2 (x+1) +7x            (given)

13+-2x - 2 +7x              (distributive property of multiplication over addition)

13 + 5x -2                     (combine like terms)

15 = 5x                         (addition property of equality)

3 = x                             (division property of equality)

4 0
3 years ago
Read 2 more answers
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