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Oduvanchick [21]
3 years ago
10

In a 24 km race, during which each runner maintains a constant speed throughout, Alice crosses the finish line while Becky is st

ill 8 km from finishing and Caitlin is 12 km from finishing. When Becky crosses the finish line, Caitlin still has $d$ kilometers to go. Find all possible values of $d$.
Mathematics
1 answer:
andrew11 [14]3 years ago
8 0
12/16=3/4, 3/4*8=6. Therefore Caitlin still has 6 km to go, So d=6

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An auto maker estimates that the mean gas mileage of its sports utility vehicle is at least 20 miles per gallon. A random sample
Nady [450]

Answer:

Yes, we reject the auto maker's claim.

Step-by-step explanation:

H0 : μ ≥ 20

H1 : μ < 20

Sample mean, xbar = 18 ;

Sample size, n = 36

Standard deviation, s = 5

At α = 0.01

The test statistic :

(xbar - μ) ÷ s /sqrt(n)

(18 - 20) ÷ 5/sqrt(36)

-2 /0.8333333

= - 2.4

Pvalue from test statistic : Pvalue = 0.00819

Pvalue < α

0.00819 < 0.01

Hence, we reject the Null

7 0
3 years ago
Dilly is 7 years younger than Dally. In 4 years time she will be half Dally’s age. What is the sum of their ages now?
Step2247 [10]

Answer:

<u>The sum of their ages now is 13</u>

Step-by-step explanation:

Dally's age = x

Dilly's age = x - 7

In 4 years time Dilly will be half Dally’s age, therefore:

Dilly's age plus four equals to half of Dally’s age plus four,

replacing with the values and variables we know:

x - 7 + 4 = (x + 4) /2

x - 3 = (x + 4) /2

2x - 6 = x + 4 (Multiplying by 2 at both sides)

2x - x = 4 + 6 (Like terms)

x = 10 ⇒ x - 7 = 3

<u>The sum of their ages now is 13 (10 + 3)</u>

4 0
3 years ago
What is the solution of |-1 + x| = 5
nataly862011 [7]

Answer:

6, -4

Step-by-step explanation:

abs(-1+x)=5

-1+x=5 and -1+x=-5

-------------------------

-1+x=5

x=5-(-1)=5+1=6

-------------------

-1+x=-5

x=-5-(-1)=-5+1=-4

4 0
3 years ago
What is 52,642 rounded to the nearest thousand
valkas [14]
2 represents the thousands. Round the number after 2 which is 6. Since 6 is greater than 5, you round it up and you get 53,000.
8 0
3 years ago
Halp?
____ [38]

The formula for finding the volume of a rectangular prism (the cargo area of the truck is the shape of a rectangle in 3D; a rectangular prism) is V = (l)(w)(h); where <em>l</em> = length, <em>w</em> = width, and <em>h</em> = height.

First, substitute the known values into the equation:

l = 8.5

w = 6

h = 10.5

V = (8.5)(6)(10.5)

<em>(Note: .5 = 1/2)</em>

Now, all we need to do is simplify:

V = 535.5 ft³ OR 535 1/2 ft³

<em>(Note: ft</em><em>³</em><em> is the condensed form of cubic feet)</em>

You can pick whichever form your test directs you to use. They are both the same value though.

Hope this helps!

7 0
3 years ago
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