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dem82 [27]
3 years ago
6

What is the image of point (4, 5) after a counterclockwise rotation of 270º about the origin?

Mathematics
1 answer:
tia_tia [17]3 years ago
4 0
The answer is (5, -4).
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A jar of peanut butter contains 454 g with a standard deviation of 10.2 g. Find the probability that a jar contains more than 46
Fofino [41]

Answer:

The probability that a jar contains more than 466 g is 0.119.

Step-by-step explanation:

We are given that a jar of peanut butter contains a mean of 454 g with a standard deviation of 10.2 g.

Let X = <u><em>Amount of peanut butter in a jar</em></u>

The z-score probability distribution for the normal distribution is given by;

                                Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 454 g

           \sigma = standard deviation = 10.2 g

So, X ~ Normal(\mu=454 , \sigma^{2} = 10.2^{2})

Now, the probability that a jar contains more than 466 g is given by = P(X > 466 g)

            P(X > 466 g) = P( \frac{X-\mu}{\sigma} > \frac{466-454}{10.2} ) = P(Z > 1.18) = 1 - P(Z \leq 1.18)

                                                                  = 1 - 0.881 = <u>0.119</u>

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

4 0
3 years ago
Plzzzzzzzzzzzzzzzz help meeeeeeeeeeeeeeeeeeeeee if u do ill give u a dollar
myrzilka [38]

Answer:

B

x is the price of the sweater so 3x  and add $15 for the skirt which would add up to $90

6 0
3 years ago
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2 Rewrite the improper fractions as mixed numbers.<br> 4/3=
lara31 [8.8K]

Answer:

1 1/3

Step-by-step explanation:

3/3 = 1 Whole

Therefore 4/3 = 1 1/3

7 0
2 years ago
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Andreas dad is 57 k heavier than andre. Andrea weighs 34 k.
Monica [59]
A  Andreas dad weighs 91 k.
B Andrea and her dad both weigh 91 k.
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3 years ago
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When written in scientific notation, the number 4,500 will have a Choose... 2 4 3 as the exponent on the power of ten
nexus9112 [7]
The exponent would be 3.
4.5 x 10^3
6 0
3 years ago
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