What axis is the axis of symmetry on?

Write and solve an equation that represents the following:<br> Twenty more than a number is eighteen

ArbitrLikvidat [17]

Salutations!

Let the number be $x$

The equation would be: $x+20=18$

Lets solve this!

We need to always keep the variables aside, and the numbers aside.

$x=20-18$

$x=2$

Hope I helped (:

Have a great day!

8 0

3 years ago

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Setup a rational equation and solve it from the word problem. Mr. Solberg can ride his scooter 3 miles against the wind in the s

dolphi86 [110]

Answer:

The speed of Mr Solberg's scooter when there is no wind is 35 miles per hour

Step-by-step explanation:

The given parameters are;

The time Mr. Solberg rides his scooter and cover 3 miles against the wind = The time Mr. Solberg rides his scooter and cover 4 miles with the wind

The speed of the wind = 5 miles per hour

Let v, represent the speed of Mr Solberg's scooter when there is no wind, we have;

Time = Distance/Speed

Mr Solberg's speed against the wind = v - 5

Mr Solberg's speed with the wind = v + 5

The distance covered at a given time, while riding against the wind = 3 miles

The distance covered at the same time, while riding with the wind = 4 miles

The time in both instances are therefore 3/(v - 5) = 4/(v + 5)

From which we have;

3 × (v + 5) = 4 × (v - 5)

3·v + 15 = 4·v - 20

20 + 15 = 4·v - 3·v

4·v - 3·v = 20 + 15

v = 35

The speed of Mr Solberg's scooter when there is no wind = v = 35 miles per hour.

7 0

3 years ago

A large manufacturer that sells consumer products on-line wishes to publicize its customer satisfaction in an advertisement. Spe

sergejj [24]

Answer:

$z=\frac{0.93 -0.9}{\sqrt{\frac{0.9(1-0.9)}{400}}}=2$

$p_v =P(z>2)=0.0228$

So the p value obtained was a very low value and using the significance level assumed $\alpha=0.05$ 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 people who say yes is significantly higher than 0.9 or 90%.

Step-by-step explanation:

Data given and notation

n=400 represent the random sample taken

X=372 represent the number of people who say yes

$\hat p=\frac{372}{400}=0.93$ estimated proportion of people who say yes

$p_o=0.9$ 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)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that that more than 90% of its costumers would tell their friend to buy a product from the manufacturer.:

Null hypothesis: $p\leq 0.9$

Alternative hypothesis: $p > 0.9$

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 $p_o$ .

Calculate the statistic

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

$z=\frac{0.93 -0.9}{\sqrt{\frac{0.9(1-0.9)}{400}}}=2$

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 significance level assumed for this case is $\alpha=0.05$ . The next step would be calculate the p value for this test.

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

$p_v =P(z>2)=0.0228$

So the p value obtained was a very low value and using the significance level assumed $\alpha=0.05$ 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 people who say yes is significantly higher than 0.9 or 90%.

8 0

3 years ago

There are 25 employees in a office.22 have cell phones 19 have cars, and 2 have niether. How many employees have both.

slava [35]

Answer:

18

Step-by-step explanation:

Let the number of employees with both cell and car be b. Using a Venn diagram shown above,

19 + 22 - b + 2 = 25

43 - b = 25

b = 18

5 0

3 years ago

PLEASE HELP ANGLE OF A TRIANGLE

Vikki [24]

Answer:

59°

Step-by-step explanation:

The angles of a triangle equal 180°.

Also the angle of a straight line is 180°.

So you first find the missing bottom angle by taking 180-147 to equal 33.

Then you take 33+88+x=180

solve for x by subtracting 88 and 33 from 180 to equal 59.

8 0

3 years ago

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