Part B
After the first hour, Samuel and Allie agree they will continue to climb up the rock
face for another 1 hour. Allie continues to climb at the same rate. What rate must
Samuel climb in the last { hour to reach the same height as Allie?
Samuel needs to climb at a rate of
meters per hour in the last hour to reach
the same height as Allie.

Answer: x = 13

Step-by-step explanation:

They are equal so set them equal and solve for x.

(4x+1) = 53

4x = 52

x = 13

Answer:

Since the lines l and m are parallel,

angle (4x + 1) and angle 53 are both corresponding angles

We know that corresponding angles are equal, so:

4x + 1 = 53

4x = 52

x = 13

Answer: 30

Step-by-step explanation:

24 + f = 54

f = 54 - 24

f = 30

Answer:

f=30

Step-by-step explanation:

You want to get x by itself on one side, so in order to do that, you need to subtract the 24, and if you do it one side, you need to do it to the other side.

That would give you:

24-24+f=54-24

then simplify it to be:

f=30

Answer:

False. Because it is the answer.

Answer:

false

Step-by-step explanation:

I agree with the first guy

Answer:

The interquartile range is 60 ⇒ D

Step-by-step explanation:

The interquartile range is the difference between the upper quartile and the lower quartile

Let us explain how to find the interquartile range

Let us do these steps to find it

∵ The data set is {45, 12, 48, 96, 61, 84, 29, 1, 72, 5, 14}

→ Arrange them

∴ The data set is {1, 5, 12, 14, 29, 45, 48, 61, 72, 84, 96}

∵ They are 11 numbers

∴ The middle number is the 6th number (5 before it and 5 after it)

∵ The 6th number is 45

∴ The median is 45

→ Find the lower set (before the median)

∴ The lower set is {1, 5, 12, 14, 29}

→ Find the lower quartile Q1

∵ The lower quartile is the middle number in this set

∵ There are 5 numbers

∴ The middle one is the 3rd

∵ The 3rd is 12

∴ Q1 = 12

→ Find the upper set (after the median)

∴ The upper set is {48, 61, 72, 84, 96}

→ Find the upper quartile Q3

∵ The upper quartile is the middle number in this set

∵ There are 5 numbers

∴ The middle one is the 3rd

∵ The 3rd is 72

∴ Q3 = 72

→ Subtract them to find the interquartile range

∵ The interquartile range = Q3 - Q1

∴ The interquartile range = 72 - 12

∴ The interquartile range = 60

Answer:

C

Step-by-step explanation:

Answer:

3C2 * (.5)^2 * (.5)^1

.375

Step-by-step explanation:

...

The probability that exactly two of the dice are odd is 3/8

"It is finding out the possibilities of the occurrence of an event."

"P(A) = n(A) / n(S)

where, n(A) is the number of favorable outcomes of an event A

n(S) is the total number of outcomes for an experiment"

[tex]P=~ ^nC_r\times p^r \times q^{n-r}[/tex]

where, p is the probability of success and q is the probability of failure

For given example,

We roll three six sided dice.

We need to find the probability that exactly two of the dice are odd

the probability of success i. e. dice is odd would be,

⇒ p = 3/6

⇒ p = 1/2

So, the probability of failure would be,

⇒ q = 1 - p

⇒ q = 1 - 1/2

⇒ q = 1/2

Also, n = 3 and r = 2

Using Binomial distribution the required probability would be,

[tex]\Rightarrow P=~ ^nC_r\times p^r \times q^{n-r}\\\\\Rightarrow P=~ ^3C_2\times (\frac{1}{2} )^2 \times (\frac{1}{2} )^{3-2}\\\\\Rightarrow P =\frac{3!}{3!(3-2)!}\times \frac{1}{4} \times \frac{1}{2}\\\\ \Rightarrow \bold{P=\frac{3}{8}}[/tex]

Therefore, the probability that exactly two of the dice are odd is 3/8

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

Answer:

5

Step-by-step explanation:

Complete question :

For a continuous random variable X, P(23 ≤ X ≤ 66) = 0.25 and P(X > 66) = 0.14. Calculate the following probabilities. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)

a. P(X < 66)

b. P(X < 23)

c. P(X = 66)

Answer:

P(X < 66) = 0.86

P(X < 23) = 0.61

P(X = 66) = 0

Step-by-step explanation:

Given that:

X, P(23 ≤ X ≤ 66) = 0.25 and

P(X > 66) = 0.14 ;

Recall:

P(x ≤ a) + p(x ≥ a) = 1

Then ; P(X < 0.66) = 1 - 0.14 = 0.86

Hence,

P(X < 0.66) = 0.86

P(23 ≤ X ≤ 66) = 0.25

P(X < 66) = 0.86

Hence,

P(X < 23) = 0.86 - 0.25 = 0.61

Probability that a continuous random variable is exactly equal to a particular number equals 0

Hence,

P(X = 66) = 0

Answer: oh no are you stuck

Step-by-step explanation: don't worry step sis ill help you :)

Answer:

x = 1/6 (h(2) - 9), h(2) element R

Answer:

7 17/49

Step-by-step explanation:

Convert mixed numbers to fractions:

= 90/7 ÷ 7/4

Apply the fraction rule:

= 90/7 * 4/7

Multiply fractions:

90 * 4 / 7 * 7

Simplify:

360/49

Convert improper fractions to mixed numbers:

= 7 17/49

Answer:

2/15

Step-by-step explanation:

if we multiple 1/7 and 1/9 by 2 we get 2/14 and 2/18. we can then get a fraction in between such as 2/15

Answer:

distance(miles) = number of hours driven * 55

Step-by-step explanation:

Answer:

m= -215/k

f=-5+2c/9

Step-by-step explanation:

Answer:

slope is 6/1 (or 6)

Step-by-step explanation:

your y-intercept is 3, so that means the point will be (0,3).

from there, you can start plotting points. up 6, over 1 (to the right)

the equation for a line is y=mx+b, so whatever number is in m will always be your slope, and whatever number is in b will be your y intercept

Answer:

$63

Step-by-step explanation:

Answer:

they made 67.5$

Step-by-step explanation:

82.5÷5.5 is 15 15×4.50 would be 67.5

Answer:

C

<$&#&#;#;#;#;#

Step-by-step explanation:

1/4= 4x6=24

Answer:

C

Step-by-step explanation:

Answer:

10^-1 = 7 - 2x

Step-by-step explanation:

Answer: A. B. A.

Step-by-step explanation:

Answer:

A TRANSLATION OF A GRAPH is its rigid movement, vertically or horizontally. On the left is the graph of the absolute value function. On the right is its translation to a "new origin" at (3, 4). y = |x|.

Answer:

(-8, -3)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

To find what y equals, x has to be 0.

3x-y=12

3(0)-y=12

-y=12        (multiply by -1 so y is not negative)

y=-12

Because y=-12 you need to do -12/3 to get your answer to y/3

-12/3=-4

Answer:

transitive property of equality

Step-by-step explanation:

I know cus i took the test also sorry it took so long dude