5. Molly has 5 sticks of lengths 2,4,6,8, and 10 inches. Using three sticks at 1 point

Identify the scale factor when we scale up from Figure S to T. Just write the number.

Sergeu [11.5K]

Answer:

Scale factor = 4

Step-by-step explanation:

Scale factor = $\frac{\text{Dimension of the image}}{\text{Dimension of preimage or original}}$

Since, S is being dilated with a scale factor to form T,

So, the figure S is the preimage and figure T will be the image,

Length of one side of image T = 8

Length of one side of preimage = 2

Therefore, Scale factor = $\frac{8}{2}$

= 4

Scale factor by which figure S has been dilated to form figure T is 4.

3 0

3 years ago

Okay so we have this question of the week thing and this week our answer is 8 so i need a algebra problem that is a two step equ

Inessa05 [86]

Answer:

2x+4=8

x=2

2 times 2 equals 4

Four plus four is 8

5 0

3 years ago

(x+3)²(65)=x(6)<br>Solve using quadric formula

Angelina_Jolie [31]

Step 1: Simplify both sides of the equation.

65x²+390x+585=6x

Step 2: Subtract 6x from both sides.

65x²+390x+585−6x=6x−6x
65x²+384x+585=0

For this equation: a=65, b=384, c=585

65x²+384x+585=0

Step 3: Use quadratic formula with a=65, b=384, c=585

x=−b±√b2−4ac/2a
x=−(384)±√(384)2−4(65)(585)/
2(65)
x=−384±√−4644/130

Therefore, There are no real solutions.

6 0

2 years ago

Read 2 more answers

State who is correct and explain why

Ivan

Answer:

12.4+3√7 is irrational

Step-by-step explanation:

12.4 is a rational number

3√7 is an irrational number

<u>The sum of a rational number and an irrational number is irrational.</u>

So, 12.4+3√7 is irrational

4 0

3 years ago

An auto company claims that the fuel efficiency of its sedan has been substantially improved. A consumer advocate organization w

zzz [600]

Answer:

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{0.983 -0}{\frac{1.685}{\sqrt{12}}}=2.021$

$df=n-1=12-1=11$

$p_v =P(t_{(11)}>2.021) =0.0342$

If we compare the the p value with the significance level provided $\alpha=0.1$ , we see that $p_v < \alpha$ , so then we can reject the null hypothesis. and there is a significant increase in the miles per gallon from 2017 to 2019 at 10% of significance.

Step-by-step explanation:

Previous concepts

A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.

Let put some notation :

x=test value 2017 , y = test value 2019

x: 28.7 32.1 29.6 30.5 31.9 30.9 32.3 33.1 29.6 30.8 31.1 31.6

y: 31.1 32.4 31.3 33.5 31.7 32.0 31.8 29.9 31.0 32.8 32.7 33.8

Solution to the problem

The system of hypothesis for this case are:

Null hypothesis: $\mu_y- \mu_x \leq 0$

Alternative hypothesis: $\mu_y -\mu_x >0$

Because if we have an improvement we expect that the values for 2019 would be higher compared with the values for 2017

The first step is calculate the difference $d_i=y_i-x_i$ and we obtain this:

d: 2.4, 0.3, 1.7,3,-0.2, 1.1, -0.5, -3.2, 1.4, 2, 1.6, 2.2

The second step is calculate the mean difference

$\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{11.8}{12}=0.983$

The third step would be calculate the standard deviation for the differences, and we got:

$s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =1.685$

We assume that the true difference follows a normal distribution. The 4th step is calculate the statistic given by :

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{0.983 -0}{\frac{1.685}{\sqrt{12}}}=2.021$

The next step is calculate the degrees of freedom given by:

$df=n-1=12-1=11$

Now we can calculate the p value, since we have a right tailed test the p value is given by:

$p_v =P(t_{(11)}>2.021) =0.0342$

If we compare the the p value with the significance level provided $\alpha=0.1$ , we see that $p_v < \alpha$ , so then we can reject the null hypothesis. and there is a significant increase in the miles per gallon from 2017 to 2019 at 10% of significance.

4 0

3 years ago