Callie's and jordan's families were driving to their family reunion in Marshall. Callie's family traveled from Ontario to Marshall. Jordan's family traveled from lucerne to Marshall.haw many more miles did one family drive than the other?
A.41.9 miles
B.423.4 miles
C.465.3
D.888.7​

Answer:

[tex]CI =6.5 \± 1.09[/tex]

Step-by-step explanation:

Given

[tex]Data: 4, 5, 7, 5, 8, 7, 5, 9, 10, 5, 6, 7, 2, 11, 6, 3, 2, 11, 10, 7[/tex]

Required

Determine the 99% t-confidence interval

First, calculate the mean

[tex]\bar x =\frac{\sum x}{n}[/tex]

[tex]\bar x =\frac{4+ 5+ 7+ 5+ 8+ 7+ 5+ 9+10+ 5+ 6+ 7+ 2+ 11+ 6+ 3+ 2+ 11+ 10+ 7}{20}[/tex]

[tex]\bar x =\frac{130}{20}[/tex]

[tex]\bar x =6.5[/tex]

Calculate the standard deviation

[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)}{n}[/tex]

[tex]\sigma =\sqrt{\frac{(4-6.5)^2+ (5-6.5)^2+ ........+ (2-6.5)^2+ (11-6.5)^2+ (10-6.5)^2+ (7-6.5)^2}{20}}[/tex]

[tex]\sigma =\sqrt{\frac{143}{20}}[/tex]

[tex]\sigma =\sqrt{7.15}[/tex]

[tex]\sigma =2.67[/tex]

The z score for 99% confidence interval is:  2.576

The confidence interval  is calculated as:

[tex]CI =\bar x \± z * \frac{\sigma}{\sqrt n}[/tex]

[tex]CI =6.5 \± 2.576 * \frac{2.67}{\sqrt {40}}[/tex]

[tex]CI =6.5 \± 2.576 * \frac{2.67}{6.32}}[/tex]

[tex]CI =6.5 \± 1.09[/tex]

Answer:

x=9(3y-5)

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

6 to the power of 2 + 3 to the power of 2

6² + 3²

(6 × 6) + (3 × 3)

36 + 9

45

Answer:

d) y= -2/3x+3 1/2

Step-by-step explanation:

Points on the graph: ( -4, 6) and ( -7, 8)

Slope:

m=(y2-y1)/(x2-x1)

m=(8-6)/(-7+4)

m= 2/(-3)

m= -2/3

Slope-intercept:

y - y1 = m(x - x1)

y - 6 = -2/3(x + 4)

y - 6 = -2/3x - 8/3

y = -2/3x + 3 1/2

Answer:

9

Step-by-step explanation:

you would do 3+3+3 because there are 3 colors

And i just got it right on my quiz.

There will be 9 branches in the tree diagram of the situation.

In probability theory, tree diagrams can be used to represent probability spaces. A tree diagram can represent a set of independent events or conditional probabilities. Each node in the graph represents an event and is associated with the probability of that event.

Given,

A spinner of three sections colored green, purple and pink.

Number of outcomes = 3

spinner is spun twice,

then number of outcomes = 3 × 3 = 9

Number of branches in tree = 9

Hence, 9 branches will be there in probability tree diagram.

Learn more about tree diagram here:

https://brainly.com/question/13311154

#SPJ6

Answer:

5x-8=90

Step-by-step explanation:

Thale’s Theorem

5x-8=90

Answer:

x=1/3 or 0.3

Step-by-step explanation:

Multiply to remove the fraction, then set equal to  0  and solve.

Answer:

Solution given:12 ÷ x = 36

x=12/36=1/3 is your answer

Answer:

D

Step-by-step explanation:

the company is it a big company with you in my neighborhood that is a lot more expensive and more expensive to

Answer:

P = L+B

Hope it helps

Answer:

https://studyandanswers.com/mathematics/question18362805#

Step-by-step explanation:

Answer:

5 :)

Step-by-step explanation:

Answer:

[tex]x = 0[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (3,0)[/tex]

[tex](x_2,y_2) = (-3,0)[/tex]

Required

The equation of the perpendicular bisector.

First, calculate the midpoint of the given endpoints

[tex](x,y) = 0.5(x_1 + x_2, y_1 + y_2)[/tex]

[tex](x,y) = 0.5(3-3, 0+ 0)[/tex]

[tex](x,y) = 0.5(0, 0)[/tex]

Open bracket

[tex](x,y) = (0.5*0, 0.5*0)[/tex]

[tex](x,y) = (0, 0)[/tex]

Next, determine the slope of the given endpoints.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{0 - 0}{-3- 3}[/tex]

[tex]m = \frac{0}{-6}[/tex]

[tex]m = 0[/tex]

Next, calculate the slope of the perpendicular bisector.

When two lines are perpendicular, the relationship between them is:

[tex]m_2 = -\frac{1}{m_1}[/tex]

In this case:

[tex]m = m_1 = 0[/tex]

So:

[tex]m_2 = -\frac{1}{0}[/tex]

[tex]m_2 = unde\ fined[/tex]

Since the slope is [tex]unde\ fined[/tex], the equation is:

[tex]x = a[/tex]

Where:

[tex](x,y) = (a,b)[/tex]

Recall that:

[tex](x,y) = (0, 0)[/tex]

So:

[tex]a = 0[/tex]

Hence, the equation is:

[tex]x = 0[/tex]

Answer:

hope this helps :)

Step-by-step explanation:

Answer:

(3, -2)

Step-by-step explanation:

Step-by-step explanation:

Area of this pi r²/2

3.142*324/2=3.142*162=509,004

Answer:

56.556

Step-by-step explanation:

In order to find the areaof a cirlcle the equation is pi(r^2)

radius is half of a diameter so i did 18 divided by 2 =6

3.142(6^2)=113.112

but since its only half a cirle i divided my answer by 2 in order to get 56.556

Answer:

n' = (-5,2)  k' = (-1,1)  t' = (-5,0)

Step-by-step explanation:

Answer:

One proportion is 15 songs / 2.5 hours = 18 songs / h hours.

ok I'll try to answer

first the given 15/2.5=18/h

so the second hour is missing so we have to multiply cross then the result will be

15h=45

divide 15 for 15 and we got h

again divide 45 for 15

[h=3]

Answer: x=0,\root(3)(3)

Step-by-step explanation: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Brainliest or a thank you please? :))

9514 1404 393

Answer:

  associative property of multiplication

Step-by-step explanation:

We assume your equation is ...

  9(3x) = (9·3)x

The parentheses have moved to a different portion of the product. This is allowed by the associative property of multiplication. It lets you associate parts of the product any way you like.

_____

Additional comment

It is not a good idea to use "x" to indicate multiplication in an expression in which "x" is a variable. There are many other ways to indicate multiplication, including using the "times" symbol (×).

Answer:

r=0

Step-by-step explanation:

9r x 3 - 144r = 0

27r-144r=0

-117r=0

r=0

Answer: 20.71 m

Step-by-step explanation:

Given

the length of the poles are 25m and 35 m

The length of the cable is 23 m

Suppose the distance between them is x

From the figure, apply Pythagoras theorem

[tex]\Rightarrow 23^=x^2+10^2\\\Rightarrow 529-100=x^2\\\Rightarrow x^2=429\\\\\Rightarrow x=\sqrt{429}=20.71\ m[/tex]

Distance between Poles is 20.71 m

Answer:

step it up dont lack

Step-by-step explanation:

keep answering and helping others

Answer:

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Becuase his backyard is 15 square yards.

Answer: y = x^2 - 3

y-intercept = -3

Answer:

if i am not wrong is 119

Step-by-step explanation:

I did it like this:

I took 44 + 17= 61

And then I took 180-61= 119

Answer:

B. $25000

C. Symmetry

Step-by-step explanation:

Hope this helps

Answer:

1/30 of an hour

Step-by-step explanation: