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3 years ago

What is 22 1/6+ 10 4/5

2 answers:

6 0

32 4/5
22 1/6+10 4/5=133/6+54/5
133/6=665/30
54/5=324/30
The common factor is 30
324/30+665/30=989/30
989/30=32 29/30
32 29/30

LUCKY_DIMON [66]3 years ago

3 0

32 29/30 its 32 and 5/30+24/30

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the cookie recipe called for raisins and nuts in the ratio of 3 to 2. If one cup of nuts was called for how many cups of raisins

stepladder [879]

Answer:

1.5 cups of raisins were needed.

Step-by-step explanation:

I am going to solve this question using a rule of three.

The cookie recipe called for raisins and nuts in the ratio of 3 to 2.

This means that for three cups of raisins, two cups of nuts are needed.

If one cup of nuts was called for how many cups of raisins were needed?

3 cups of raisins - 2 cups of nuts

x cups of raising - 1 cup of nuts

$2x = 3$

$x = \frac{3}{2}$

$x = 1.5$

1.5 cups of raisins were needed.

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4 years ago

Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 71.9 Mbp

NISA [10]

Answer:

a.55.95Mbps

b.1.61 standard deviations

c.1.61

d. Not significant

Step-by-step explanation:

a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds?

Carrier's highest data speed = 71.9 Mbps

Mean of all 50 data speeds = 15.95 Mbps

Difference = 71.9Mbps - 15.95Mbps

= 55.95Mbps

b. How many standard deviations is that [the difference found in part (a)]?

55.95Mbps/34.7Mbps

= 1.61 standard deviations

c. Convert the carrier's highest data speed to a z score.

z score formula = z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

z = (x-μ)/σ

x = 71.9Mbps

μ = 15.95 Mbps

σ = s=34.75 Mbps.

z= 71.9 - 15.95/34.75

z = 1.6100719424

Approximately, z scores ≈ 1.61

d. If we consider data speeds that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?

From the calculation in part c.

The z score = 1.61

It is less than 2

Therefore, the carrier's highest data speed is not significant because is neither significantly low nor significantly high

5 0

4 years ago

Please solve with explanation 20 points

Zielflug [23.3K]

Answer:

Below.

Step-by-step explanation:

a. As the circumcentre is (0,0) and one point on the circle is (10,0) the radius is 10.

The circle has equation:

x^2 + y^2 = 10^2

x^2 + y^2 = 100.

b. (-5, k) is a point on the circle, so

(-5)^2 + k^2 = 100

k^2 = 100 - 25 = 75

So k = √75

k = 5√3 or 8.66 to 2 places of decimals.

c. The lengths of the 3 sides of the triangles are 10, 10 and 15.8 so it is isosceles.

4 0

3 years ago

Write as a product of 2 binomials and a monomial (factor out as much as possible from each binomial):

gayaneshka [121]

$(14x+21y)(6ab-3a) = 3a(2b - 1)(14x + 21y)$

<em><u>Solution:</u></em>

Given that,

$(14x+21y)(6ab-3a)$

We have to factor out terms and write as a product of 2 binomials and monomial

A monomial is a mathematical expression with only one term, while a binomial is a mathematical expression with two terms.

From given expression,

$(14x+21y)(6ab-3a) = (14x + 21y)(3 \times 2ab -3a)$

3 and a are common factors in second bracket

$(14x+21y)(6ab-3a) = 3a(2b - 1)(14x + 21y)$

Hence, the product of two binomial is written in two binomial and a monomial

4 0

4 years ago

What is associative property of addition

USPshnik [31]

You can add or multiply regardless of how the numbers are grouped.

3 0

3 years ago