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hram777 [196]
2 years ago
5

What is the value of y? 2y y+10 50 all in degrees and in different angles of a triangle

Mathematics
2 answers:
bezimeni [28]2 years ago
5 0

Answer:

The value of y = 40

Step-by-step explanation:

Measure of one angle of the triangle is given to be 2y

Measure of second angle of the triangle is given to be y + 10

Measure of the third angle of the triangle is given to be 50

Now, By using the angles sum property of a triangle, We have :

Sum of all the three angles of a triangle is always supplementary

⇒ ∠1 + ∠2 + ∠3 = 180°

⇒ 2y° + (y + 10)° + 50 = 180°

⇒ 3y + 10 + 50 = 180°

⇒ 3y = 120

⇒ y = 40

Hence, The value of y = 40

s344n2d4d5 [400]2 years ago
3 0
You need to do 2y+y+10+50=180. Then you'd combine like terms to make 3y+60=180 then to get rid of the sixty subtract it from 180 to make 3y=120 then divide by three to get y by itself so 120 divided by three is 40 which makes y whisk forty. Hope this helped.
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The quality control manager at a light bulb factory needs to estimate the mean life of a batch (population) of light bulbs. We a
Nadusha1986 [10]

Answer:

<em>a)95%  confidence intervals for the population mean of light bulbs in this batch</em>

(325.5 ,374.5)

b)

<em>The calculated value Z = 4 > 1.96 at 0.05 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>The manufacturer has not right to take the average life of the light bulbs is 400 hours.</em>

Step-by-step explanation:

Given sample size n = 64

Given  mean of the sample x⁻ = 350

Standard deviation of the Population σ = 100 hours

The tabulated value Z₀.₉₅ = 1.96

<em>95%  confidence intervals for the population mean of light bulbs in this batch</em>

<em></em>(x^{-} - Z_{\frac{\alpha }{2} } \frac{S.D}{\sqrt{n} } , x^{-} + Z_{\frac{\alpha }{2} }\frac{S.D}{\sqrt{n} } )<em></em>

<em></em>(350 - 1.96\frac{100}{\sqrt{64} } , 350 + 1.96\frac{100}{\sqrt{64} } )<em></em>

(350 -24.5, 350 +24.5)

(325.5 ,374.5)

b)

<u><em>Explanation</em></u>:-

Given mean of the Population μ = 400

Given sample size n = 64

Given  mean of the sample x⁻ = 350

Standard deviation of the Population σ = 100 hours

<u><em>Null hypothesis</em></u> : H₀:The manufacturer has right to take the average life of the light bulbs is 400 hours.

μ = 400

<u><em>Alternative Hypothesis: H₁:</em></u> μ ≠400

<u><em>The test statistic </em></u>

Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }

Z = \frac{350 -400}{\frac{100}{\sqrt{64} } }

|Z| = |-4|

The tabulated value   Z₀.₉₅ = 1.96

The calculated value Z = 4 > 1.96 at 0.05 level of significance

Null hypothesis is rejected.

<u><em>Conclusion:</em></u>-

The manufacturer has not right to take the average life of the light bulbs is 400 hours.

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2 years ago
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Step-by-step explanation: I have no idea. just put it in a calculator

5 0
2 years ago
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polet [3.4K]

Answer:

Option A) outside

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3 0
1 year ago
Which function has a range of y &lt; 3?
Setler79 [48]

Using a graphing tool

Let's graph each of the cases to determine the solution of the problem

<u>case A)</u> y=3(2^{x})  

see the attached figure N 1

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see the attached figure N 2  

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<u>case D)</u> y=2^{x}-3  

see the attached figure N 4  

The range is the interval--------> (-3,∞)  

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therefore

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5 0
2 years ago
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Answer:

4. A) \displaystyle x + 4 ≥ 7

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Step-by-step explanation:

4. Two families combined have <em>at</em><em> </em><em>least</em><em> </em>3 pets.

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I am joyous to assist you anytime.

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2 years ago
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