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lina2011 [118]
3 years ago
13

For each 50 mm of coloured fabric Nick uses to make his curtains, he also uses 10 cm of white fabric. Express the amount of whit

e fabric to coloured fabric as a ratio in its simplest form.
Mathematics
1 answer:
Luda [366]3 years ago
6 0

Answer:

5/1

Step-by-step explanation:

Step-by-step explanation: you just put 50/10 and divide by the common number, 5, which gets you 5/1

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In a study of red/green color blindness, 700 men and 2850 women are randomly selected and tested. Among the men, 66 have red/gre
olga55 [171]

Answer:

z=\frac{0.0943-0.00281}{\sqrt{0.0208(1-0.0208)(\frac{1}{700}+\frac{1}{2850})}}=15.197  

p_v =P(Z>15.197) \approx 0  

If we compare the p value and using any significance level for example \alpha=0.05 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of men with red/green color blindness.is significanlty higher than the proportion of women with red/green color blindness.

Step-by-step explanation:

Data given and notation  

X_{M}=66 represent the number of men with red/green color blindness.

X_{W}=8 represent the number of women with red/green color blindness.

n_{M}=700 sample of male slected

n_{W}=2850 sample of female selected

p_{M}=\frac{66}{700}=0.0943 represent the proportion of male with red/green color blindness.

p_{W}=\frac{8}{2850}=0.00281 represent the proportion of female with red/green color blindness.

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportion of men with red/green color blindness. is higher than the proportionof women with red/green color blindness. , the system of hypothesis would be:  

Null hypothesis:p_{M} \leq p_{W}  

Alternative hypothesis:p_{M} > p_{W}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{M}-p_{W}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{M}}+\frac{1}{n_{W}})}}   (1)

Where \hat p=\frac{X_{M}+X_{W}}{n_{M}+n_{W}}=\frac{66+8}{700+2850}=0.0208

Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.0943-0.00281}{\sqrt{0.0208(1-0.0208)(\frac{1}{700}+\frac{1}{2850})}}=15.197  

Statistical decision

For this case we don't have a significance level provided \alpha, but we can calculate the p value for this test.  

Since is a one side test the p value would be:  

p_v =P(Z>15.197) \approx 0  

If we compare the p value and using any significance level for example \alpha=0.05 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of men with red/green color blindness.is significanlty higher than the proportion of women with red/green color blindness.

8 0
3 years ago
Please help me answer this thank you
nexus9112 [7]
Scale for y - 1:1
Scale for x - 1:10

Reason- so that i can plot the points on the graph without any modification to the given one.

Now plot the points on the graph using the scale. I cant obviously do that here.
5 0
3 years ago
Read 2 more answers
i was doing this task in math and I came across this: x-12x=0.88x . can someone plz explain why is this equal to this? I underst
valkas [14]

1x-12x=0.88x

1x-12x=0.88x

11x=0.88x

-11x=0.88x-0.88x

-11.88x=0x

-11.88x=0

Isolate x

3 0
2 years ago
Solve the equation for a? z=mab. a)a=z+mb b)a=z-mb c)a= mb/z d)a=z/mb
Bingel [31]

Answer:

a = z/mb

Step-by-step explanation:

Given:

\displaystyle \large{z=mab}

To solve for a, divide both sides by the variables mb to isolate a-term.

\displaystyle \large{\dfrac{z}{mb}=\dfrac{mab}{mb}}

Simplify the expression and we finally have solved for a-term.

\displaystyle \large{\dfrac{z}{mb}=a}\\\\\displaystyle \large{a=\dfrac{z}{mb}}

Therefore, the answer to this question is a = z/mb.

Please let me know if you have any questions regarding my answer or explanation!

4 0
2 years ago
What is the GCF OF -20v-50
pantera1 [17]

Answer:

The GCF is -10

Step-by-step explanation:

-10 in the highest/largest number that goes into both -20 and -50.

if you have to factor -20v-50 as well it would be:

-10(2v+5)

and to check if that answer is correct, distribute -10 inside the parenthesses:

-10 times 2v = -20v

-10 times 5 = -50

-20v-50

7 0
3 years ago
Read 2 more answers
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