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anastassius [24]
3 years ago
14

Kiran and his cousin work during the summer for a landscaping company. Kiran’s cousin has been working for the company longer, s

o his pay is 30% more than Kiran’s . Last week his cousin worked 27 hours, and Kieran worked 23 hours. Together, they earned 493.85 l. What is kirans hourly pay? Explain or show your reasoning
Mathematics
1 answer:
sergey [27]3 years ago
6 0

Answer:

73

Step-by-step explanation:

You might be interested in
Kate has 48 softballs. She wants to divide them evenly among b softball bags. Which expression represents how many softballs she
Makovka662 [10]

Answer:

A

Step-by-step explanation:

48 softballs

Divided among b bags

Divide 48 by b

48 ÷ b

Division expressions can also be written as fractions

Rewrite

48/b

The correct answer is A, 48/b

Hope this helps :)

8 0
3 years ago
Sociologists say that 85% of married women claim that their husband's mother is the biggest bone of contention in their marriage
hoa [83]

Answer:

(A) 0.377,

(B) 0.000,

(C) 0.953,

(D) 0.047

Step-by-step explanation:

We assume that having a bone of intention means not liking one's Mother-in-Law

(A) P(all six dislike their Mother-in-Law) = (85%)^6 = (.85)^6 = 0.377

(B) P(none of the six dislike their Mother-in-Law) =

(100% - 85%)^6 =

0.15^6 =

0.000

(C) P(at least 4 dislike their Mother-in-Law) =

P(exactly 4 dislike their Mother-in-Law) + P(exactly 5 dislike their Mother-in-Law) + P(exactly 6 dislike their Mother-in-Law) =

C(6,4) * (.85)^4 * (1-.85)^2 + C(6,5) * (.85)^5 * (.15)^1 + C(6,6) * (.85)^6 = (15) * (.85)^4 * (.15)^2 + (6) * (.85)^5 * .15 + (1) * (.85)^6 =

0.953

(D) P(no more than 3 dislike their Mother-in-Law) =

P(exactly 0 dislikes their Mother-in-Law) + P(exactly 1 dislikes her Mother) + P(exactly 2 dislike their Mother-in-Law) + P(exactly 3 dislike their Mother-in-Law) =

C(6,0) * (.85)^0 * (.15)^6 + C(6,1) * (.85)^1 * (.15)^5 + C(6,2) * (.85)^2 * (.15)^4 + C(6,3) * (.85)^3 * (.15)^3 =

(1)(1)(.15)^6 + (6)(.85)(.15)^5 + (15)(.85)^2 *(.15)^4 + (20)(.85)^3 * (.15)^3 =

0.047

3 0
3 years ago
Sin^2x + sin^2x + cos²x
Nezavi [6.7K]

Answer:

Answer:

A. 2 sinx cosx - 1 + 2 sin^2 x.

Step-by-step explanation:

sin2x = 2 sinx cosx

cos2x = cos^2x - sin^2x

So sin2x - cos2x =  2 sinx cosx - ( cos^2x - sin^2x)

But cos^2 x = 1 - sin^2 x, so we have:

2 sinx cosx - (1 - sin^2 x - sin^2x)

= 2 sinx cosx - 1 + 2 sin^2 x.

7 0
3 years ago
Solve for x in the diagram below. Will mark brainliest if your answer is correct!♡
katen-ka-za [31]
I think it should be x=12.
The equation should be 6x-2+20°=90°
6 0
3 years ago
The exam scores (out of 100 points) for all students taking an introductory Statistics course are used to construct the followin
ella [17]

Answer:

The inter quartile range is 55

Step-by-step explanation:

<u>Interquartile range</u>:-

<u>Definition</u>:-

The inter quartile range is the difference between the upper (Q3) and lower(Q1) quartiles, and describes the middle  50% of values when ordered from lowest to highest.

Interquartile range = higher quartile - lower quartile

given data 50.25.80.10

write the ascending order 10 25 50 80

Step:-1

Median:- The median is obtained by first arranging the data in ascending or descending order and applying the following rule.

If the number of observations is odd, then the median is

({\frac{n+1}{2} })^{th}observations

Step2:-

The median is obtained by first arranging the data in ascending or descending order and applying the following rule.

If the number of observations is even, then the median is ({\frac{n}{2} })^{th}

({\frac{n+1}{2} })^{th}

In given data the number of observations is '4'(even)

If the number of observations is even, then the median is ({\frac{n}{2} })^{th}

({\frac{n+1}{2} })^{th}

median is ({\frac{4}{2} })^{th} is 2 observations and ({\frac{4+1}{2} })^{th} is 2.5 observations.

so we have to select average of these two observations.

therefore the median is '3' observation

median of the given data = 50

<u>Step:3</u>

Interquartile range = higher quartile - lower quartile

                                  = 80-25

                                  =55

3 0
3 years ago
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