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Pani-rosa [81]
3 years ago
8

Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister?

Mathematics
1 answer:
expeople1 [14]3 years ago
5 0
K = 2s
k + s = 36
2s + s = 36
3s = 36
s = 12
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Use the normal distribution to approximate the following binomial distribution. A recent survey indicated that 55% of the people
madam [21]

Answer:

0.86 (Approx)

Step-by-step explanation:

Given:

n = 35

P = 55% = 0.55

Q = 1 - p = 0.45

Computation:

Standard deviation σ = √npq

Standard deviation σ = √(35)(.55)(.45)

Standard deviation σ = 2.9432

Mean μ = np = 35 x 0.55 = 19.25

p[(x-np)/ σ ]

P[z<1.04204]

= 0.86 (Approx)

7 0
3 years ago
PLEASE HELP!
ki77a [65]

Answer: 450 kcal

Step-by-step explanation:

So you know the food is 360 kcal per 1 cup

by setting up a proportion, you can relate the number of kcal to cups.

\frac{360 kcal}{1 cup} = \frac{?kcal}{(3/4 +1/2)cup} \\\\

we can simplify the fraction to this:

\frac{360 kcal}{1 cup} = \frac{?kcal}{(5/4)cup} \\\\

by cross multiplying you can solve the proportion

(360) * (5/4) = (?) * (1)

simplifying gets this:

450 = ?

so he ate 450 kcal total

7 0
3 years ago
HELP. John his a fish tank at home. The tank is rectangular in shape and has a volume of 192 cubic feet ifitis 6 long and 4 feet
Levart [38]

Answer:

B

Step-by-step explanation:

We need to find a answer that multiplies with 4 and 6 to 192.

4 x 6 x 9 doesn't equal 192     (It equals 216)

4 x 6 x 8 does equal 192

4 x 6 x 12 doesn't equal 192      (It equals 288)

4 x 6 x 48 doesn't equal 192      (It equals 1152)

8 0
3 years ago
Read 2 more answers
8.The weight distribution of parcels sent in a certain manner is normal with mean value 12lb and standard deviation 3.5 lb. The
Sladkaya [172]

Answer:

The value is c = 21.1445.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The weight distribution of parcels sent in a certain manner is normal with mean value 12lb and standard deviation 3.5 lb.

This means that \mu = 12, \sigma = 3.5

What value of c is such that 99% of all parcels are at least 1 lb under the surcharge weight?

This 1 added to the value of X for the 99th percentile, which is X when Z has a p-value of 0.99, so X when Z = 2.327.

Z = \frac{X - \mu}{\sigma}

2.327 = \frac{X - 12}{3.5}

X - 12 = 2.327*3.5

X = 20.1445

1 + 20.1445 = 21.1445

The value is c = 21.1445.

7 0
3 years ago
if the first step of the solution of the equation 2x - 8 =5x + 3 is subtract 2x," then what should the next step be?​
DaniilM [7]
The first step it to combine like terms which would be subtract 5x -2x which would be 3x

now you’re left with; -8=5x+3 now you have to subtract 3 from -8

which would be -11=5x and than you divide

hope that helps!! :)
6 0
3 years ago
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