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2 years ago

Divide 60 kg in the ratio of 5 : 7.

2 answers:

6 0

The ratio can be written in parts as shown below;
$\frac{5}{12} : \frac{7}{12}$
Then, 60 can be divided as shown below;
$\frac{5}{12} *60: \frac{7}{12} *60$
25kg:35kg

taurus [48]2 years ago

4 0

When we divide a number by a fraction, the turn-out is that we multiply the number to the reciprocal of the fraction. In this case, we are given with 60 kg and a fraction of 5/7. The product is equal to 60 kg * (7/5) equal to 84 kg. kg is remained uncanceled

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In a country where prices are rising quickly, bread that now costs $1.39 will cost 2.4 times as much next year. How much will th

Lynna [10]

Answer:

$3.34

Step-by-step explanation:

$1.39 x 2.4 = $3.336

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2 years ago

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What is the value of the 2s in 42,256

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2,000 and 200 are the values of the 2s in 42256

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2 years ago

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The U.S. Bureau of Labor Statistics reports that 11.3% of U.S. workers belong to unions (BLS website, January 2014). Suppose a s

andrezito [222]

Answer:

a) Null hypothesis: $p \leq 0.113$

Alternative hypothesis: $p > 0.113$

b) $z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.13 -0.113}{\sqrt{\frac{0.113(1-0.113)}{400}}}=1.074$

The p value for this case would be given by:

$p_v =P(z>1.074)=0.141$

c) For this case we see that the p value is higher than the significance level of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true proportion workers belonged to unions is significantly higher than 11.3%

Step-by-step explanation:

Information given

n=400 represent the random sample taken

X=52 represent the workers belonged to unions

$\hat p=\frac{52}{400}=0.13$ estimated proportion of workers belonged to unions

$p_o=0.113$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic

$p_v$ represent the p value

Part a

We want to test if the true proportion of interest is higher than 0.113 so then the system of hypothesis are.:

Null hypothesis: $p \leq 0.113$

Alternative hypothesis: $p > 0.113$

Part b

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.13 -0.113}{\sqrt{\frac{0.113(1-0.113)}{400}}}=1.074$

The p value for this case would be given by:

$p_v =P(z>1.074)=0.141$

Part c

For this case we see that the p value is higher than the significance level of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true proportion workers belonged to unions is significantly higher than 11.3%

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2 years ago

Jimmy made a 15% profit on the sale of a custom designed boat, and the original cost of the boat was $15,000. The boat sold for

Anestetic [448]

If jimmy made a profit of 15% than u would do 15,000 of 15% and that would be 2,250
but that would be Jimmy's profit
Now, what u would do to get how much the boat was sold, than u would do 15,000-2,250
and the answer will be 12,750

6 0

1 year ago

Read 2 more answers

Part A: Consider the distance from the school to the coffee shop and the distance from the library to the coffee shop. Draw thei

N76 [4]

Answer:

See below

Step-by-step explanation:

<em>Refer to attached. All answers included.</em>

<u>Note. Will mainly refer to y-coordinates in distance questions</u>

Distance from coffee shop to library: 16 -8 = 8
Distance from coffee shop to school: 16 - 10 = 6 = x
Distance from school to library: 10 - 8 = 2 = y
Ratio x:y = 6: 2 = 3:1

Distance from Sergio's home to Saskia's home: 19 -3 = 16
Distance from Sergio's home to Post office: 16*1/4 = 4
Coordinates of post office: x = 16+4/4= 17, y = 19-16/4= 15

Distance from Kay's home to twin theater: 20 - 4 = 16
Distance from twin theater to market: 16*3/4 = 12
Coordinates of market: x = 5+4/4= 6, y = 4 + 16/4= 8

5 0

2 years ago