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3 years ago

3. A boy mixed 500g of sugar and 120g of salt in 106g of lime juice. What will be the

Mathematics

1 answer:

Fed [463]3 years ago

6 0

Answer:

Option C...726 g

Step-by-step explanation:

Mass of;

sugar = 500g

salt = 120g

lime juice = 106g

mass of mixture = sum of its components

= 500g + 120g + 106g

=726 g

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The two triangles below are similar.

umka2103 [35]

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2 years ago

A manufacturer of coffee vending machines has designed a new, less expensive machine. The current machine is known to dispense (

cupoosta [38]

Answer:

$t=(15-1) [\frac{0.219}{0.2}]^2 =16.7864$

$p_v = 2*P(\chi^2_{14}>16.786)=0.5355$

And the 2 is because we are conducting a bilateral test.

$\alpha=0.05$ since the the $p_v >0.05$ we fail to reject the null hypothesis.

$\alpha=0.01$ since the the $p_v >0.01$ we fail to reject the null hypothesis.

Step-by-step explanation:

Data given

$\mu=7$ population mean (variable of interest)

$\sigma=0.2$ represent the population standard deviation

$s=0.219$ represent the sample deviation

n=15 represent the sample size

$\alpha=0.05,0.01$ represent the values for the significance level

Hypothesis test

On this case we want to check if the population standard deviation is equal or not to 0.2, so the system of hypothesis are:

H0: $\sigma = 0.2$

H1: $\sigma \neq 0.2$

In order to check the hypothesis we need to calculate the statistic given by the following formula:

$t=(n-1) [\frac{s}{\sigma_o}]^2$

This statistic have a Chi Square distribution distribution with n-1 degrees of freedom.

What is the value of your test statistic?

Now we have everything to replace into the formula for the statistic and we got:

$t=(15-1) [\frac{0.219}{0.2}]^2 =16.7864$

P value

We know the degrees of freedom of the distribution 14 on this case and we can find the p value like this:

$p_v = 2*P(\chi^2_{14}>16.786)=0.5355$

And the 2 is because we are conducting a bilateral test.

$\alpha=0.05$ since the the $p_v >0.05$ we fail to reject the null hypothesis.

$\alpha=0.01$ since the the $p_v >0.01$ we fail to reject the null hypothesis.

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3 years ago

A Pentagon is transformed according to the rule R0, 180°. Which is another way to state the transformation?

postnew [5]

The another way to state the transformation would be $(x,y)>(-x,-y)$

<u>Solution:</u>

Rotation about the origin at $180^\circ$ : $R_{180^\circ}A \rightarrow O = R_{180^\circ} (x, y) \rightarrow (-x,-y)$

The term R0 means that the rotation is about the origin point. Therefore, (R0,180) means that we are rotating the figure to $180^\circ$ about the origin.

So, the transformation of the general point (x,y) would be (-x,-y) when it is rotated about the origin by an angle of $180^\circ$ .

Hence according to the representation, the expression would be $(x, y) \rightarrow (-x, -y)$ .

8 0

3 years ago

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What single decimal multiplier would you use to decrease by 14% followed by a 9% decrease?

xenn [34]

Answer:

the single decimal multiplier is 0.7826

Step-by-step explanation:

The computation of the single decimal multiplier is given below:

Given that

It is reduced by 14% that followed by 9% decrease

So according to this, the following calculation is required

= (1 - 0.14) × (1 - 0.09)

= 0.86 × 0.91

= 0.7826

Hence, the single decimal multiplier is 0.7826

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3 years ago

Cylinders A and B are congruent. Cylinder A has a volume of 27π cm3 and a height of 3 cm. What is the diameter of Cylinder B?

Ann [662]

V = πR²h = π*R²*3
27π = 3πR²
R² = 9
R = 3

Diameter = 3*2 = 6cm

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3 years ago

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