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vodka [1.7K]
3 years ago
14

Find the value of y in the diagram below.

Mathematics
1 answer:
larisa [96]3 years ago
8 0

Answer: \\ 4(2y - 20) + 2y = 720 \\ \Leftrightarrow 2(2y - 20) + y = 360 \\ \Leftrightarrow 4y - 40 + y = 360 \\ \Leftrightarrow 5y = 400 \\ \Leftrightarrow y = 80°

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Solve the system.<br> 3x + 4y = 7<br> 2x-y=1<br> What does x and y equal
emmainna [20.7K]

Answer:

x=1 y=1

Step-by-step explanation:

Let's use the elimination method.
3x+4y=7
2x-y = 1 (multiply both sides by 4)
8x-4y=4
3x+4y=7

(add both equations together)
11x=11
x=1
Plug x=1 into either of the equations
2(1) - y=1
2-y=1
2=1+y
y=1

5 0
2 years ago
If f(x)=4x-7 and g(x)=2x+4 evalvate f(x)+g(x) for x=-3
galben [10]

Answer:

-21

Step-by-step explanation:

We are told to find f(x) + g(x) for x= -3. Therefore, we must evaluate f(-3) and g(-3), then add them together.

First, evaluate f(-3).

f(x)=4x-7

To find f(-3), we need to substitute -3 in for x.

f(-3)= 4(-3)-7

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction First, multiply 4 and -3.

f(-3)= -12-7

Next, subtract 7 from -12

f(-3)= -19

Next, find g(-3).

g(x)=2x+4

To find g(-3), substitute -3 in for x.

g(-3)= 2(-3)+4

Solve according to PEMDAS. First, multiply 2 and -3.

g(-3)= -6+4

Next, add -6 and 4

g(-3)= -2

Now, we can add f(-3) and g(-3) together.

f(-3) + g(-3)

f(-3)= -19

g(-3)= -2

-19 + -2

Add

-21

7 0
3 years ago
Read 2 more answers
Put this equation in standard form Y+5=-(x+3)?
lisabon 2012 [21]

Answer: y = x - 2

Step-by-step explanation:

Subtract 5 from both sides.

4 0
3 years ago
Where n represents the position in the sequence
marishachu [46]
If you look at the position they all go up one and the value of terms all go up by 3 so 4+1=5 so 5 goes where no is and and 11+3=14
8 0
3 years ago
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final c
Black_prince [1.1K]

Answer:

<em>The test statistic value Z = 4.64 > 1.96 at 0.05 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>Alternative hypothesis is accepted</em>

<em>Test the claim that the proportion of all children in the town who suffer not from asthma is 11%</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given sample size 'n' = 167

Given data In a sample of 167 children selected randomly from one town, it is found that 37 of them suffer from asthma.

<em>Sample proportion </em>

                    p^{-}  = \frac{x}{n} = \frac{37}{167} = 0.2215

<em>Given Population proportion 'P'</em> = 11% = 0.11

<u><em>Step(ii) </em></u>:-

<em>Null Hypothesis : H₀ : p = 11</em>

<em>Alternative Hypothesis H₁: p≠11</em>

<u><em>Test statistic</em></u>

               Z = \frac{p^{-} -P }{\sqrt{\frac{P Q}{n} } }

              Z = \frac{0.2215 -0.11 }{\sqrt{\frac{0.11 X 0.89}{167} } }

             Z =   4.64

<u><em>step(iii)</em></u>

<em> Critical value Z = 1.96 </em>

<em>The calculated value Z = 4.64 > 1.96 at 0.05 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>Alternative hypothesis is accepted</em>

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

<em>Test the claim that the proportion of all children in the town who suffer not from asthma is 11%</em>

4 0
3 years ago
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