Which types of dilation are the given scale factors?

Si el velocimetro de un auto marca un 25% mas que la verdadera velocidad y en este momento marca 100km/h entonces la velocidad v

GenaCL600 [577]

Answer:

True speed of the car is 87 km/h.

Step-by-step explanation:

Speed = 100 km/h

hike in speed = 25 %

Let the true speed is v.

$v + 15% of v = 100 \\\\v + 0.15 v = 100 \\\\1.5 v = 100\\\\ v = 87 km/h$

6 0

3 years ago

In a recent Super Bowl, a TV network predicted that 50 % of the audience would express an interest in seeing one of its forthcom

coldgirl [10]

Answer:

z= -0.968

We can conclude that we fail to reject the null hypothesis, and we can said that at 5% of significance the proportion of people who says that they would watch one of the television shows not differs from 0.5 or 50% .

Step-by-step explanation:

1) Data given and notation n

n=106 represent the random sample taken

X=48 represent the people who says that they would watch one of the television shows.

$\hat p=\frac{48}{106}=0.453$ estimated proportion of people who says that they would watch one of the television shows.

$p_o=0.5$ 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 50% of people who says that they would watch one of the television shows.:

Null hypothesis: $p=0.5$

Alternative hypothesis: $p \neq 0.5$

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:

$z=\frac{0.453 -0.5}{\sqrt{\frac{0.5(1-0.5)}{106}}}=-0.968$

4) Statistical decision

P value method or p value approach . "This method consists on 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 bilateral test the p value would be:

$p_v =2*P(z$

So based on the p value obtained and using the significance level assumed $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we fail to reject the null hypothesis, and we can said that at 5% of significance the proportion of people who says that they would watch one of the television shows not differs from 0.5 or 50% .

6 0

3 years ago

Please help. Show all work:)

Alex787 [66]

Answer:

50

Step-by-step explanation:

$(3+\sqrt{-16})(6-\sqrt{-64})=(3+4\sqrt{-1})(6-8\sqrt{-1})=2(3+4\sqrt{-1})(3-4\sqrt{-1})\\\\=2(3^2-(4\sqrt{-1})^2)=2(9-(-16))\\\\=2(25)=50$

__

We make use of the special form for the difference of squares:

(a+b)(a-b) = a²-b²

8 0

3 years ago

A circle is drawn within a square as shown. What is the best approximation for the area of the shaded region? Use 3.14 to approx

Angelina_Jolie [31]

Answer:

168.168 square inches

Step-by-step explanation:

Given data

From the question, we can deduce that the side of the square is 28in

Hence the area of the square is

Area= 28^2

Area= 784 square inches

Also, the diameter of the circle is 28 in

The radius = 14 in

Area of circle= πr^2

Area= 3.142*14^2

Area= 3.142* 196

Area= 615.832 square inches

Therefore the area of the shaded region is

= Area of Square - Area of Circle

= 784-615.832

=168.168 square inches

4 0

3 years ago

2. 2x+6y=6<br> -x-3y = -3<br> Solution(s):<br> PLEASE HELP SOLVE FOR X AND Y

allochka39001 [22]

Answer:

x = 0, y = 1

Step-by-step explanation:

2x + 6y = 6 → (1)

x - 3y = - 3 ( add 3y to both sides )

x = 3y - 3 → (2)

substitute x = 3y - 3 into (1)

2(3y - 3) + 6y = 6 ← distribute parenthesis and simplify left side

6y - 6 + 6y = 6

12y - 6 = 6 ( add 6 to both sides )

12y = 12 ( divide both sides by 12 )

y = 1

substitute y = 1 into (2)

x = 3(1) - 3 = 3 - 3 = 0

solution is x = 0 , y = 1

3 0

1 year ago