Answer:
1 3/8
Step-by-step explanation:
3/5+1/4+3/8 = 1.375
1.375= 1 3/8
![\huge{\boxed{\tt{Solution:}}}](https://tex.z-dn.net/?f=%5Chuge%7B%5Cboxed%7B%5Ctt%7BSolution%3A%7D%7D%7D)
<h3><u>
In First Question :</u></h3>
We know that measure of straight angle is 180°.
![\sf{5x + 13x= 180 \: \: [By \: linear \: pair]}](https://tex.z-dn.net/?f=%5Csf%7B5x%20%2B%2013x%3D%20180%20%5C%3A%20%20%20%20%5C%3A%20%5BBy%20%5C%3A%20linear%20%5C%3A%20%20pair%5D%7D)
![\bf{\therefore{Answer\:is\:(c)\:5x + 13x= 180.}}](https://tex.z-dn.net/?f=%5Cbf%7B%5Ctherefore%7BAnswer%5C%3Ais%5C%3A%28c%29%5C%3A5x%20%2B%2013x%3D%20180.%7D%7D)
<h3><u>
In Second Question :</u></h3>
We know that two angles are said to be complementary if sum of both angles is 90°.
![\sf{ : \implies { \angle a +\angle b = {90}^{\circ}}} \\ \\ \sf{ : \implies { \angle{{32}^{\circ}+{\angle {b = {90}^{\circ}}}}}} \\ \\ \sf{ : \implies {\angle b = \angle{{(90 -32 )}^{\circ}}}} \\ \\ \sf{ : \implies {\angle b = {58}^{\circ}}}](https://tex.z-dn.net/?f=%5Csf%7B%20%3A%20%5Cimplies%20%20%7B%20%5Cangle%20a%20%20%2B%5Cangle%20b%20%3D%20%7B90%7D%5E%7B%5Ccirc%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%5Csf%7B%20%3A%20%5Cimplies%20%20%7B%20%5Cangle%7B%7B32%7D%5E%7B%5Ccirc%7D%2B%7B%5Cangle%20%7Bb%20%20%3D%20%7B90%7D%5E%7B%5Ccirc%7D%7D%7D%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%20%5Csf%7B%20%3A%20%5Cimplies%20%20%7B%5Cangle%20b%20%3D%20%20%5Cangle%7B%7B%2890%20-32%20%29%7D%5E%7B%5Ccirc%7D%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%20%5Csf%7B%20%3A%20%5Cimplies%20%20%7B%5Cangle%20b%20%3D%20%20%7B58%7D%5E%7B%5Ccirc%7D%7D%7D)
![\bf{\therefore{The\:measure\:of\:{\angle b}\:is\: {{58}^{\circ}}.}}](https://tex.z-dn.net/?f=%5Cbf%7B%5Ctherefore%7BThe%5C%3Ameasure%5C%3Aof%5C%3A%7B%5Cangle%20b%7D%5C%3Ais%5C%3A%20%7B%7B58%7D%5E%7B%5Ccirc%7D%7D.%7D%7D)
![\rule{307}{2}](https://tex.z-dn.net/?f=%5Crule%7B307%7D%7B2%7D)
Answer:
a) 1.39%
b) 42.26%
c) 97.72%
d) 7.78%
e) 99.01%
Step-by-step explanation:
mean (μ) = 500, standard deviation (σ) = 90
The z score is used to measure the amount by which the raw score is above or below the mean. It is given by:
![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
a) For x > 700
![z=\frac{x-\mu}{\sigma}=\frac{700-500}{90} =2.22](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3D%5Cfrac%7B700-500%7D%7B90%7D%20%3D2.22)
From the probability distribution table:
P(x > 700) = P(z > 2.22) = 1 - P(z < 2.22) = 1 -0.9861 = 0.0139 = 1.39%
b) For x = 450
![z=\frac{x-\mu}{\sigma}=\frac{450-500}{90} =-0.56](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3D%5Cfrac%7B450-500%7D%7B90%7D%20%3D-0.56)
For x = 550
![z=\frac{x-\mu}{\sigma}=\frac{550-500}{90} =0.56](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3D%5Cfrac%7B550-500%7D%7B90%7D%20%3D0.56)
From the probability distribution table:
P(450< x < 550) = P(z < 0.56) - P(z < -0.56) = 0.7123 - 0.2877 = 0.4246 = 42.46%
c) For x < 680
![z=\frac{x-\mu}{\sigma}=\frac{680-500}{90} =2](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3D%5Cfrac%7B680-500%7D%7B90%7D%20%3D2)
From the probability distribution table:
P(x < 680) = P(z < 2) = 0.9772 = 97.72%
d) From the probability distribution table: P(z < -1.42) = 0.0778 = 7.78%
e) c) For x = 710
![z=\frac{x-\mu}{\sigma}=\frac{710-500}{90} =2.33](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3D%5Cfrac%7B710-500%7D%7B90%7D%20%3D2.33)
From the probability distribution table: P(x < 710) = P(z < 2.33) = 0.9901 = 99.01%
Answer:
5 hrs 19.57 Minutes will be taken to prepare 1575 Bags by Ashley & her 4 friends if Ashley take 2/3 minute to prepare a bag & her each friend takes 75% Longer
Step-by-step explanation:
Ashley Takes 2/3 minute to prepare a bag
=> ashley prepare bag in 1 minute = 3/2
Her friends takes 75% Longer to prepare a bag
time taken by her friends = 2/3 + (75/100)(2/3)
= (2/3)( 1 + 3/4)
= (2/3)(7/4)
= 7/6 Minutes
Her one friend prepare bag in 1 minute = 6/7
Bag prepared by Ashley & her 4 friend in 1 Minute
= 3/2 + 4*6/7
= (21 + 48)/14
= 69/14 Bag
69/14 Bag prepared in 1 minute
1 Bag prepared in 14/69 minutes
1575 bags prepared in 1575 * 14/69
= 319.57 minutes
= 5 hrs 19.57 Minutes
Answer:
In question 20
B) the triangles are not similar
Step-by-step explanation:
u can see that 1 triangle length is 14 and other 49 and one triangle breath is 8 and other 28 so how they are same
Answer:
IN question 19
what is your question I can't understand