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3 years ago

50 is 40% of what number? And we need to do the proportions/ example 50/100 etc. and please explain.. :)

Mathematics

2 answers:

aleksandr82 [10.1K]3 years ago

7 0

50/X = 40/100

50 × 100 = 40 × X

5000 = 40X

5000/40 = 40X/40

125 = X

Diano4ka-milaya [45]3 years ago

5 0

X= 125

the equation is
is/of %/100

50 = is
40 = %
X = of
100 = 100

50 X 100 = 5,000
40 X x = 40x

40x / 40 = x
5,000 / 40 = 125

SO... x = 125

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3 years ago

The Department of Transportation would like to test the hypothesis that the average age of cars on the road is less than 12 year

puteri [66]

Answer:

$z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29$

Step-by-step explanation:

information given

$\bar X=10.6$ represent the sample mean

$\sigma=4.1$ represent the population standard deviation

$n=45$ sample size

$\mu_o =12$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic

$p_v$ represent the p value for the test

Hypothesis to test

We want to test if the true mean is less than 12, the system of hypothesis would be:

Null hypothesis: $\mu \geq 10$

Alternative hypothesis: $\mu < 10$

The statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Replacing the info given we got:

We can replace in formula (1) the info given like this:

$z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29$

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4 years ago

Find the 4 angles and the measure of are abd

Svetradugi [14.3K]

Answer:

Angle 1 = 80 (by definition)

Angle 3 = 180 - 80 = 100

Angle 4 + Angle 2 = 90

Also, Angle 2 = 40 (by definition)

So Anglee 4 = 50

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3 years ago