2. The next Saturday, the two friends leave at the same time a ain, and Kiran jogs twice

Plz help asap <br> x + 10 = 20 and<br> y – 8 = 32<br> with step by step explanation plz

valentina_108 [34]

Answer:

10 & 40

Step-by-step explanation:

x+10=20------------------10-20=10

y-8=32--------------------32+8=40

3 0

3 years ago

P= (x,y) is an arbitrary point on the circle x^2+y^2=36

sesenic [268]

Let (x,y) be an arbitrary point on the circle.

Then d = √[x-3)2 + (y-0)2] = √[x2 - 6x + 9 + y2]

Since x2 + y2 = 1, y2 = 1-x2.

So, d = √[x2 - 6x + 9 + 1 - x2]

d = √(-6x+10)

Domain: x is the x-coordinate of a point on the circle centered at (0,0) with radius 1. So, -1≤x≤1.

But, for d to be defined, we need -6x+10 ≥ 0. So, x ≤ 5/3 (True for all x in [-1,1]).

Domain = [-1,1]

Range: -1 ≤ x ≤ 1 So, 6 ≥ -6x ≥ -6

16 ≥ -6x+10 ≥ 4

4 ≥ √(-6x+10) ≥ 2 That is, 2 ≤ d ≤4

Range: [2,4]

Step-by-step explanation:

3 0

3 years ago

Experts have predicted that approximately 1 in 12 tractor-trailer units will be involved in an accident this year. One reason fo

Yuliya22 [10]

Answer:

1. 564 tractor trailers

2. (0.2919, 0.4339)

3. It should be noted that there is 90% confidence that the true population proportion lies between 0.2919 and 0.4339.

Step-by-step explanation:

1)

Proportion= P = 0.8333333333333 (1/12)

Margin error= 0.06/2 = 0.03

Confidence level= 99

Significance level = α= (100 - 99)%= 1%= 0.01

α/2 = 0.01/2 = 0.0005

Sample size= n

= p(1 - p) (Z*/E)

=0.8333333333333 x (2.576/0.03)^2

=563.15

Approximately

=564

2) Sample size n= 124

Sample number of event x =45

Sample proportion = p= x/n

=45/124

= 0.3629

Standard error =√p(1 - p) /n

√(0.3629× (1 - 0.3629)/ 124

= 0.0432

Confidence level= 90

Significance level α= (100-90)% =0.01

Critical value Z* = 1.645

Margin of error = Z×Standard error= 1.645 × 0.0432= 0.07103

Lower limit = p- margin error= 0.3629 - 0.07103= 0.2919

Upper limit = p+margin error= 0.3629 + 0.07103= 0.4339

The answer is (0.2919, 0.4339)

3) It should be noted that there is 90% confidence that the true population proportion lies between 0.2919 and 0.4339.

5 0

4 years ago

Laura is the fundraising manager for a local charity. She is ordering caps for a upcoming charity walk. The company that makes t

Viefleur [7K]

The largest number of caps Laura can purchase is 162.

x(number of caps)6 + 25 = c (cost)

(162)6 + 25 = 997

972 + 25 = 997

Hope this helps! <3

4 0

4 years ago

A procurement specialist has purchased 25 resistors from vendor 1 and 30 resistors from vendor 2. Let

Ulleksa [173]

Answer:

Normal Distribution

Standard error = 0.473

Step-by-step explanation:

We are given the following information:

A procurement specialist has purchased 25 resistors from vendor 1 are assumed to be normally distributed with mean 100 ohms and standard deviation 1.5 ohms.

$x_{1,1}, x_{1,2}, ... , x_{1,25}\\\mu_{1} = 100\\\sigma_1 = 1.5$

A procurement specialist has purchased 30 resistors from vendor 2 are assumed to be normally distributed with mean 105 ohms and standard deviation 2.0 ohms.

$x_{2,1}, x_{2,2}, ... , x_{2,30}\\\mu_{2} = 105\\\sigma_1 = 2.0$

The difference of two independent normally distributed random variables is normal, with its mean being equal to the difference of the two means, and its variance being the sum of the two variances.

Thus, the sampling distribution of $X_1-X_2$ is a normal distribution.

Mean =

$100 - 105 = -5$

Standard error =

$\sqrt{\displaystyle\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2}}\\\\=\sqrt{\displaystyle\frac{(1.5)^2}{25} + \frac{(2)^2}{30}}\\\\= 0.473$

8 0

3 years ago