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olga_2 [115]
3 years ago
6

Jamie and Erika were in a race. Jamie could run 15 meters per second. Erika could only run 10 meters per second. So Jamie decide

d to give Erika a head start of 5 meters. After how many seconds will the two girls meet?
Mathematics
2 answers:
7nadin3 [17]3 years ago
7 0

Answer: 1 s

Step-by-step explanation:

Given

Jamie speed is 15 m/s

Erika speed is 10 m/s

Erika has a 5 m head start

For Jamie to catch Erika, Jamie must travel 5 m + the distance traveled by Erika in the same time t

After 1 s, Jamie and erika meet at the same point.

crimeas [40]3 years ago
4 0

Answer: 1 s

Step-by-step explanation:

Given

Jamie speed is 15 m/s

Erika speed is 10 m/s

Erika has a 5 m head start

For Jamie to catch Erika, Jamie must travel 5 m + the distance traveled by Erika in the same time t

\therefore 15t=5+10t\\\Rightarrow15t-10t=5\\\Rightarrow 5t=5\\\Rightarrow t=1\ s

After 1 s, Jamie and erika meet at the same point.

You might be interested in
. 4/18 times 2/92. 1/9 times 3/63. 12/14 times 1/84.1/7 times 5/65. 17/20 times 1/61. 4 1/4 times 3 1/22. 3 5/6 times 4 1/23. 2
AlladinOne [14]

Answer:

Step-by-step explanation:

4/18×2/92

=1/9×1/23

=1/207

1/9×3/63

=1/3×1/23

=1/69

12/14×1/84

=1/14×1/7

=1/98

1/7×5/65

=1/7×1/13

=1/91

17/20×1/61

=17/1220

4 1/4 ×3 1/22

=17/4×67/22

=1,139/88

=12 83/88

3 5/6×4 1/23

=23/6×93/23

=93/6

=15 3/6

=15 1/2

2 1/2×4 7/84

=5/2×343/84

=1715/168

=10 35/168

I have answered more than 2 from each set

6 0
3 years ago
g Bonus: Assume that among the general pediatric population, 7 children out of every 1000 have DIPG (Diffuse Intrinsic Pontine G
patriot [66]

Answer:

0.9586

Step-by-step explanation:

From the information given:

7 children out of every 1000 children suffer from DIPG

A screening test designed contains 98% sensitivity & 84% specificity.

Now, from above:

The probability that the children have DIPG is:

\mathbf{P(positive) = P(positive \  |  \ DIPG) \times P(DIPG) + P(positive  \ | \  not \DIPG)\times P(not  \ DIPG)}= 0.98\imes( \dfrac{7}{1000}) + (1-0.84) \times (1 - \dfrac{7}{1000})

= (0.98 × 0.007) + 0.16( 1 - 0.007)

= 0.16574

So, the probability of not having DIPG now is:

P(not \ DIPG \  |  \ positive) = \dfrac{ P(positive  \ | \  not DIPG)\timesP(not \  DIPG)} { P(positive)}

=\dfrac{ (1-0.84)\times (1 - \dfrac{7}{1000}) }{ 0.16574}

=\dfrac{ 0.16 ( 1 - 0.007) }{0.16574}

= 0.9586

8 0
3 years ago
Joe is at the ice cream shop, and his house is 10 blocks north of the shop. The park is 10 blocks south of the ice cream shop. W
Furkat [3]

Answer:

The distance between the ice cream shop and Joe's house is the same as the distance between the ice cream shop and the park. So Joe is not closer to the park or his house, he is in the middle.

Step-by-step explanation:

We consider that the ice cream shop is the zero value in the number line. We assume that going north is positive (right side of the number line) and going south is negative (left side of the number line).

The house position is 10 block north of the ice cream shop, so it is represented by the integer 10.

The park is 10 blocks south of the ice cream shop, so it is represented by the integer -10.

The lower absolute value of the integer, the closer position from the ice cream shop.

If we calculate the absollute value of the House position:

|10|=10

Then, we calculate the the absollute value of the Parkposition

|-10|=10

In conclusion, the distance between the ice cream shop and Joe's house is the same as the distance between the ice cream shop and the park. Joe is in the middle.

5 0
3 years ago
A newspaper found that, on average, 7.6% of people stay overnight in the hospital with a 1.5% margin of error. Construct a 95% c
tensa zangetsu [6.8K]
Given:
p = 7.6% = 0.076, the percentage of people who stay overnight at the hospital.
E = 1.5% = 0.015, margin of error
95% confidence interval.

The standard error is 
Es = \sqrt{ \frac{p(1-p)}{n} }
where 
n =  the sample size.

The margin of error is
E=z^{*}E_{s}
where
z* = 1.96 at the 95% confidence level.

Because the margin of error is given, there is no need to calculate it.
The 95% confidence interval is
p +/- E = 0.076 +/- 0.015 = (0.061, 0.091) = (6.1%, 9.1%)

Answer: 
The 95% confidence interval is between 6.1% and 9.1%.

3 0
4 years ago
You buy five books that are equal in
Georgia [21]

Answer:

5x+8=26.50

Step-by-step explanation:

Because the books are equal in price, we can use x to represent the price of the books and 5 to represent the amount, so it would be written as 5x. Then we add 8 because that's the price of the one DVD. It tells the total is 26.50, so the full equation written would be <u>5x+8=26.50</u>

4 0
3 years ago
Read 2 more answers
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