Answer:
W= 5.744
Step-by-step explanation:
given that a grocery store produce manager is told by a wholesaler that the apples in a large shipment have a mean weight of 6 ounces and a standard deviation of 1.4 ounces
Sample size n= 49
Margin of error = 0.10 (10% risk )
Let us assume X no of apples having mean weight of 6 oz is N(6,1.4)
Then sample mean will be normal with (6, 1.4/7) = (6,0.2)
(Because sample mean follows normal with std error as std dev /sqrt of sample size)
Now required probability <0.10
i.e.![P(\bar X](https://tex.z-dn.net/?f=P%28%5Cbar%20X%20%3CW%29%20%3C0.10)
Since x bar is normal we find z score for
![P(Z](https://tex.z-dn.net/?f=P%28Z%3Cz%29%20%3C%200.10%5C%5C)
From std normal distribution table we find that z = 1.28
Corresponding X score =
![W= 6-0.2*1.28\\W= 6-0.256 = 5.744](https://tex.z-dn.net/?f=W%3D%206-0.2%2A1.28%5C%5CW%3D%206-0.256%20%3D%205.744)
Answer:
Step-by-step explanation:
![\frac{2x - 5}{5} + x - 2 = 3(x + 5)](https://tex.z-dn.net/?f=%5Cfrac%7B2x%20-%205%7D%7B5%7D%20%2B%20x%20-%202%20%3D%203%28x%20%2B%205%29)
![\frac{2x - 5}{5} + x - 2 = 3x + 15](https://tex.z-dn.net/?f=%5Cfrac%7B2x%20-%205%7D%7B5%7D%20%2B%20x%20-%202%20%3D%203x%20%2B%2015)
![\frac{2x - 5}{5} = 2x + 17](https://tex.z-dn.net/?f=%5Cfrac%7B2x%20-%205%7D%7B5%7D%20%3D%202x%20%2B%2017)
![2x - 5 = 10x + 85](https://tex.z-dn.net/?f=2x%20-%205%20%3D%2010x%20%2B%2085)
![-8x = 90](https://tex.z-dn.net/?f=-8x%20%3D%2090)
![x = \frac{-45}{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-45%7D%7B4%7D)
Answer:
BC < CE < BE < ED < BD
Step-by-step explanation:
In the triangle BCE,
m∠BEC + m∠BCE + m∠CBE = 180°
m∠BEC + 81° + 54° = 180°
m∠BEC = 180 - 135
m∠BEC = 45°
Order of the angles from least to greatest,
m∠BEC < m∠CBE > mBCE
Sides opposite to these sides will be in the same ratio,
BC < CE < BE ----------(1)
Now in ΔBED,
m∠BEC + m∠BED = 180°
m∠BED = 180 - 45
= 135°
Now, m∠BDE + m∠BED + DBE = 180°
11° + 135°+ m∠DBE = 180°
m∠DBE = 180 - 146
= 34°
Order of the angles from least to greatest will be,
∠BDE < ∠DBE < ∠BED
Sides opposite to these angles will be in the same order.
BE < ED < BD ----------(2)
From relation (1) and (2),
BC < CE < BE < ED < BD
The ratio a:b is 3:8
Step-by-step explanation:
In simple words, the ratio a:b means the fraction a/b.
So we will have to solve the given equation for a/b
Given
![8a=3b](https://tex.z-dn.net/?f=8a%3D3b)
Dividing both sides by 8
![\frac{8a}{8}=\frac{3b}{8}\\a=\frac{3b}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B8a%7D%7B8%7D%3D%5Cfrac%7B3b%7D%7B8%7D%5C%5Ca%3D%5Cfrac%7B3b%7D%7B8%7D)
Dividing both sides by b
![\frac{a}{b}=\frac{3b}{8*b}\\\frac{a}{b} =\frac{3}{8}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bb%7D%3D%5Cfrac%7B3b%7D%7B8%2Ab%7D%5C%5C%5Cfrac%7Ba%7D%7Bb%7D%20%3D%5Cfrac%7B3%7D%7B8%7D)
The ratio a:b is 3:8
Keywords: Ratios, Fractions
Learn more about ratios at:
#LearnwithBrainly
Answer:
Some of the possible factorizations of the monomial given are:
![(16x^5)(3x^5)](https://tex.z-dn.net/?f=%2816x%5E5%29%283x%5E5%29)
![(48x)(x^9)\\\\(4x^5)(12x^5)\\\\(16x^2)(3x^8)\\\\(2x^2)(4x^7)(6x)](https://tex.z-dn.net/?f=%2848x%29%28x%5E9%29%5C%5C%5C%5C%284x%5E5%29%2812x%5E5%29%5C%5C%5C%5C%2816x%5E2%29%283x%5E8%29%5C%5C%5C%5C%282x%5E2%29%284x%5E7%29%286x%29)
Step-by-step explanation:
To factorize the monomia you need to express it as a product of two or more monomials. Therefore, you must apply the proccedure shown below:
- Descompose into prime numbers:
![48x^{10}=2*2*2*2*3*x*x*x*x*x*x*x*x*x*x](https://tex.z-dn.net/?f=48x%5E%7B10%7D%3D2%2A2%2A2%2A2%2A3%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax)
- Then, keeping on mind that, according to the Product of powers property, when you have two powers with equal base you must add the exponents, you can make several factorizations. Below are shown some of the possible factorizations of the monomial given:
![(2^4x^5)(3x^5)](https://tex.z-dn.net/?f=%282%5E4x%5E5%29%283x%5E5%29)
![(48x)(x^9)\\\\(4x^5)(12x^5)\\\\(16x^2)(3x^8)\\\\(2x^2)(4x^7)(6x)](https://tex.z-dn.net/?f=%2848x%29%28x%5E9%29%5C%5C%5C%5C%284x%5E5%29%2812x%5E5%29%5C%5C%5C%5C%2816x%5E2%29%283x%5E8%29%5C%5C%5C%5C%282x%5E2%29%284x%5E7%29%286x%29)