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3 years ago

Divide 33 photoes into 2 groups so the ratio is 4 to 7

Mathematics

2 answers:

Kryger [21]3 years ago

4 0

Add 4 and 7 =11

group 1= 4/11×33=12 potatoes

group 2 =7/11*33= 21 potatoes

natali 33 [55]3 years ago

3 0

Answer:

12:21

Step-by-step explanation:

4 + 7 = 11

33/11 = 3

3x4=12 & 3x7=21

Therefore, ratio is, 12:21

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If x^2+25y^2=416 and x-5y=-16 the value of xy is a)16 b)8 c)-8 d)-16

pshichka [43]

Answer:

(a)

Step-by-step explanation:

Note the expansion of (x - 5y)² is

(x - 5y)² = x² - 10xy + 25y² , that is

(x - 5y)² = x² + 25y² - 10xy ← substitute given values

(- 16)² = 416 - 10xy

256 = 416 - 10xy ( subtract 416 from both sides )

- 160 = - 10xy ( divide both sides by - 10 )

xy = 16 → (a)

3 0

3 years ago

The diameter of the base of a cone measures 8 units. The height of the cone is 6 units. What is the volume of the cone in terms

FrozenT [24]

Answer:

32pi units3

Step-by-step explanation:

100.53≈32pi

6 0

3 years ago

the units digit of a two-digit number is twice the tens digit. If the digits are reversed, the new number is 9 less than the ori

Anton [14]

Answer:

Step-by-step explanation:

Here is the correct and complete question: The units digit of a two-digit number is twice the tens digit. If the digits are reversed, the new number is 9 less than twice the original number. What is the original number?

Lets assume the original number be"10y+x". (x is unit digit and y is 10th digit)

∴ if number is reversed then resulting number be "10x+y".

As given: x= 2y

and $10x+y= 2(10y+x)-9$

Now, solving the equation to get original number.

$10x+y= 2(10y+x)-9$

Distributing 2 to 10y and x, then opening the parenthesis.

⇒ $10x+y= 20y+2x-9$

subtracting by (2x+y) on both side.

⇒ $8x= 19y-9$

subtituting the value of "x", which is equal to 2y.

∴ $8\times 2y= 19y-9$

⇒ $16y=19y-9$

subtracting both side by (16y-9)

⇒ $3y= 9$

cross multiplying

We get, $y= 3$

y=3

∵x= 2y

$x=2\times 3= 6$

∴ x= 6

Therefore, the original number will be 36 as x is the unit number and y as tenth number.

6 0

3 years ago

A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true

kvv77 [185]

Answer:

99.74% probability that the sample proportion will be less than 0.1

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .