7000000000000000000000 people ate 800 pizzas how many slices would each person get?

Jason has a rectangular garden with the length of 10 m and a width of 3 m he will double the area of the garden by adding the sa

Rama09 [41]

Answer:

2 m

Step-by-step explanation:

The length and width of a rectangular garden is 10 m and 3 m respectively.

He will double the area of the garden by adding the same number of meters to both the length and the width. Area = 2(10 × 3) = 60 m².

Let x is amount of increase in the length and width such that area will be :

(10+x)(3+x) =60

30+10x+3x+x² = 60

x²+13x-30=0

x²+15x-2x-30=0

x(x+15)-2(x+15)=0

x=2 and x = -15

Neglecting negative value, he aded 2 m toboth length and width of the garden.

5 0

3 years ago

The distance of planet Jupiter from the Sun is approximately 7.8 ⋅ 108 kilometers, and the distance of planet Saturn from the Su

Y_Kistochka [10]

<h2>Option C is the correct answer,</h2>

Step-by-step explanation:

The distance of planet Jupiter from the Sun is approximately 7.8 x 10⁸ kilometers.

Distance from Jupiter to Sun = 7.8 x 10⁸ kilometers

The distance of planet Saturn from the Sun is 1.5 x 10⁹ kilometers.

Distance from Saturn to Sun = 1.5 x 10⁹ kilometers

Difference in distances = 1.5 x 10⁹ - 7.8 x 10⁸ = 15 x 10⁸ - 7.8 x 10⁸

Difference in distances = 7.2 x 10⁸ kilometers

Option C is the correct answer,

7 0

3 years ago

Read 2 more answers

A well-known brokerage firm executive claimed that at least 41 % of investors are currently confident of meeting their investmen

atroni [7]

Answer:

$z=\frac{0.398 -0.41}{\sqrt{\frac{0.41(1-0.41)}{88}}}=-0.229$

Step-by-step explanation:

1) Data given and notation n

n=88 represent the random sample taken

X=35 represent the adults that said they are confident of meeting their goals

$\hat p=\frac{35}{88}=0.398$ estimated proportion of adults that said they are confident of meeting their goals

$p_o=0.41$ 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 that at least 41 % of investors are currently confident of meeting their investment goals.:

Null hypothesis: $p=0.41$

Alternative hypothesis: $p < 0.41$

When we conduct a proportion test we need to use the z statisitc, 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:

$z=\frac{0.398 -0.41}{\sqrt{\frac{0.41(1-0.41)}{88}}}=-0.229$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This methos 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 significance level is not provided, but we can assume $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a unilateral test the p value would be:

$p_v =P(z$

Using the p value obtained and the significance level assumed $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of of investors that are currently confident of meeting their investment goals is not significantly lower than 0.41 or 41%.

4 0

3 years ago

8 poin

olganol [36]

Answer:

The correct answer is option C.$35.70

3 0

3 years ago

The measure of an angle is 166°. What is the measure of its supplementary angle?

Darina [25.2K]

Answer:

14 degrees

Step-by-step explanation:

Supplumentry angles add up to 180 degrees.

180 - 166 = 14 degrees

5 0

3 years ago