−2x − 10y = 10 D: {−10, −5, 0, 5}<br><br> A. x=-10<br> B. x=-5<br> C. x=0<br> D. x=5

For a school fair, Lolita’s parents donated 4 bottles of orange juice, 10 bottles of fruit punch and 8 bottles of apple juice.Fi

joja [24]

Answer:

4:10:8 or 2:5:4

Step-by-step explanation:

You have to put the number of bottles in order to make the ratio. The second ratio is simplified by dividing by 2

5 0

3 years ago

Find the area of the triangle to the nearest tenth . Pleaseeee help

tigry1 [53]

Answer:

15.8 cm²

Step-by-step explanation:

Please see attached photo for diagram.

We'll begin by calculating the angle A. This can be obtained as follow:

B = 56°

C = 78°

A =?

A + B + C = 180 (Sum of the angle in triangle)

A + 56 + 78 = 180

A + 134 = 180

Collect like terms

A = 180 – 134

A = 46°

Next, we shall determine the value of b by using the sine rule. This can be obtained:

Side opposite angle C (c) = 7.2 cm

Angle C = 78°

Angle B = 56°

Side opposite angle B (b) =?

b/Sine B = c/sine C

b/Sine 56 = 7.2/Sine 78

Cross multiply

b × Sine 78 = 7.2 × Sine 56

Divide both side by Sine 78

b = 7.2 × Sine 56 / Sine 78

b = 6.1 cm

Finally, we shall determine the area of the triangle. This can be obtained as follow:

Side opposite angle C (c) = 7.2 cm

Side opposite angle B (b) = 6.1 cm

Angle A = 46°

Area (A) =?

A = ½bcSineA

A = ½ × 6.1 × 7.2 × Sine 46

A = 15.8 cm²

Therefore, the area of the triangle is 15.8 cm²

4 0

3 years ago

An assembly plant orders a large shipment of electronic circuits each month. The supplier claims that the population proportion

lara [203]

Answer:

$p_v =P(z>2.652)=0.0040$

So the p value obtained was a very low value and using the significance level assumed for example $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of defectives is significantly higher than 0.04.

Step-by-step explanation:

1) Data given and notation

n=300 represent the random sample taken

X=21 represent the number of defectives (value assumed)

$\hat p=\frac{21}{300}=0.07$ estimated proportion of defectives

$p_o=0.04$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion of defectives it's higher than 0.04.:

Null hypothesis: $p\leq 0.04$

Alternative hypothesis: $p > 0.04$

When we conduct a proportion test we need to use the z statistic, and the is given by:

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

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.07 -0.04}{\sqrt{\frac{0.04(1-0.04)}{300}}}=2.652$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>2.652)=0.0040$

So the p value obtained was a very low value and using the significance level assumed for example $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of defectives is significantly higher than 0.04.

8 0

3 years ago

A construction company is considering submitting bids for two contracts. The company estimates that it has a 20\%20%20, percent

Nostrana [21]

Where the variance is 0.32, the mean is 0.40, and there are provided sets of probabilities, the standard deviation will be 0.566.

<h3>What is standard deviation?</h3>

The average degree of variability in your dataset is represented by the standard deviation. It reveals the average deviation of each statistic from the mean. In general, values with a high standard deviation are spread out from the mean, whereas those with a low standard deviation are grouped together close to the mean.

Here,

mean=0.4

variance=(Xn-mean)².P(x)n

=(0-0.4)²*(0.64)+(1-0.4)²*(0.32)+(2-0.4)²*0.04

variance=0.32

Standard deviation=√(variance)

=√0.32

=0.566

The standard deviation will be 0.566 where variance in 0.32 and mean is 0.40 and given sets of probability.

To know more about standard deviation,

brainly.com/question/13905583

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