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geniusboy [140]
2 years ago
12

Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds. Compare the speeds if he ran the 200-meter race in 19.5

seconds.

Mathematics
2 answers:
lakkis [162]2 years ago
8 0

Sorry for the late response :<

Answer:

The unit rates would be comparable for both races. So, his speed is going to be the same for both races.

<3

Step2247 [10]2 years ago
6 0

Answer:

This person gave the correct answer

Step-by-step explanation:

You might be interested in
RS PQ Complete the proof that PQR = RSP
PIT_PIT [208]

Option D:

SAS

Solution:

Given \overline{R S} \ || \ \overline{P Q}

To prove that \triangle P Q R \cong \triangle R S P

In ΔPQR and ΔRSP,

\overline{R S}\cong\overline{P Q} (given side)

\overline{R S} \ || \ \overline{P Q} (given)

By alternative interior angle theorem,

∠PRS ≅ ∠QPR (angle)

By reflexive property of congruence,

\overline{PR } \cong \overline{PR} (side)

Hence by Side-Angle-Side (SAS) congruence rule,

ΔPQR ≅ ΔRSP

Option D is the correct answer.

Hence the missing reason is SAS.

6 0
3 years ago
Find the quotient: (24xy^3-16x^2y^2+32x^2y)/8xy
kolbaska11 [484]
\cfrac{24xy^3-16x^2y^2+32x^2y}{8xy} = \\ \\ \\ = \cfrac{8xy(3y^2-2xy+4x)}{8xy} = \\ \\ \\ 3y^2-2xy+4x
5 0
3 years ago
Please help asap <br>What is the factored form of this expression? 5p^3-10p^2+3p-6​
poizon [28]

Answer:

(5p^2+3)(p-2)

Step-by-step explanation:

In this problem, we need to write the factor form of expression 5p^3-10p^2+3p-6.

It can be done as follows :

5p^3-10p^2+3p-6=(5p^3+3p)+(-10p^2-6)

Taking common form the terms as follows :

=p(5p^2+3)-2(5p^2+3)

It can be also written as :

=(5p^2+3)(p-2)

Hence, the factored form of 5p^3-10p^2+3p-6 is (5p^2+3)(p-2)

7 0
3 years ago
Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for 30 longbo
Alisiya [41]

Answer:

Do not reject H0. The mean days surfed for longboarders is significantly larger than the mean days surfed for all shortboarders

Step-by-step explanation:

The null hypothesis is that  the mean days surfed for all long boarders is larger than the mean days surfed for all short boarders

H0:  μL > μs      against the claim Ha:  μL≤ μs

the alternate hypothesis is the mean days surfed for all long boarders isless or equal to  the mean days surfed for all short boarders (because long boards can go out in many different surfing conditions)

The test statistic is

t= x1- x2/  √s1/n1+ s2/n2

1) Calculations

Longboards

Mean

ˉx=∑x/n=4+8+9+4+9+7+9+6+6+11+15+13+16+12+10+12+18+20+15+10+15+19+21+9+22+19+23+13+12+10/30

=377/30

=12.5667

Longboard Variance S2=[∑dx²-(∑dx)²/n]/n-1

=[831-(-13)²/30]/29

=831-5.6333/29

=825.3667/29

=28.4609

Shortboard Mean

ˉx=∑x/n=6+4+6+6+7+7+7+10+4+6+7+5+8+9+4+15+13+9+12+11+12+13+9+11+13+15+9+19+20+11/30

=288/30

=9.6

Shortboard Variance S2=[∑x²-(∑x)²/n]/n-1

=[ 3270-(288)2/30]/29

=3270-2764.8/29

=505.2/29

=17.4207

2) Putting values in the test statistic

t=|x1-x2|/√S²1/n1+S²2/n2

t =|12.5667-9.6|/√28.4609/30+17.4207/30

t =|2.9667|/√0.9487+0.5807

t=|2.9667|/√1.5294

t=|2.9667|/1.2367

t=2.3989

3) Degree of freedom =n1+n2-2=30+30-2=58

4) The critical region is t ≤ t(0.05) (58) =1.6716

5) Since the calculated t= 2.4 does not fall in the critical region t(0.05) (58)  ≤ 1.6716 we do not reject H0.

The p-value is 0.008969. The result is significant at p <0 .05.

6 0
3 years ago
Which of the following numbers is the smallest 0.008 or 1/3 or 0.048 or 0.36 or 1/9
RideAnS [48]

Answer:

The smallest number is 0.008

Step-by-step explanation:

To find out which number is the smallest we convert the decimals to percentages

That's

0.008 × 100= 0.8%

1/3 × 100 = 33.3%

0.048 × 100 = 4.8%

0.36 × 100 = 36%

1/9 × 100 = 11.1%

Comparing from the above percentages the smallest one is 0.8% which is

0.008.

Hope this helps you.

4 0
3 years ago
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