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kogti [31]
1 year ago
13

I need help with 3, 5, 8, and 10

Mathematics
1 answer:
777dan777 [17]1 year ago
6 0
Hope this can help you

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The course length of the Boston Marathon is about 4.2×104 meters. The course length of the Iditarod Trail Invitational ultra-mar
GREYUIT [131]

Answer:

The ultra-marathon Idita Rod Trail is about 38 times longer than the Boston Marathon.

Step-by-step explanation:

Let

x -----> the length of the Boston Marathon in meters

y -----> the  length of the Idita rod Trail Invitational ultra-marathon in meters

we have

x=4.2*10^4\ m

y=1.6*10^6\ m

we know that

To find out how many times as long is the course of the Idita rod Trail ultra-marathon as that of the Boston Marathon, divide the length of the Idita rod Trail Invitational ultra-marathon by the length of the  Boston Marathon

so

\frac{y}{x}

\frac{x}{y}=\frac{1.6*10^6}{4.2*10^4}

Remember that

To divide two numbers in scientific notation, divide their coefficients and subtract their exponents

\frac{1.6*10^6}{4.2*10^4}=\frac{1.6}{4.2}*(10^{6-4})=0.381*(10^{2})=38.1

therefore

The ultra-marathon Idita Rod Trail is about 38 times longer than the Boston Marathon.

5 0
2 years ago
What is the correlation coefficient for the data shown in the table?
Leviafan [203]

we know that

<u>The correlation coefficient</u> is a number between -1 and +1 that represent the linear dependence of two variables or sets of data

Using the function CORREL in a excel tool, calculate the correlation coefficient (r)

see the attached table

the correlation coefficient for the data in the table is equal to 1

therefore

<u>the answer is</u>

r=1

7 0
1 year ago
Read 2 more answers
One option in a roulette game is to bet $2 on red. ​ (There are 18 red​ compartments, 18 black​ compartments, and two compartmen
aleksandrvk [35]
It cost $46.000 for the red.

4 0
2 years ago
198 cents to 234 cents using a fraction in simplest form
Irina-Kira [14]

Answer:

11/13

Step-by-step explanation:

198/234

(198/18)/(234/18)

11/13

4 0
2 years ago
Read 2 more answers
Darcie wants to crochet a minimum of 3 blankets. Darcie crochets at a rate of 1/15 of a blanket a day. She has 60 days until she
NNADVOKAT [17]

Answer:

The inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal can be given as:

s\leq 15

Step-by-step explanation:

The complete question is:

Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal.

Solution:

Given:

Darcie wants to crochet a minimum of 3 blankets to donate.

Rate at which she crochet = \frac{1}{15} of a blanket per day.

Maximum number of days she has = 60.

To find the number of days Dancie can skip out of 60 days and still reach her goal.

Let s represent the number of days she can skip.

Number of days left to crochet = (60-s) days

At rate of  \frac{1}{15} of a blanket per day, number of blankets Dancie can corchet in (60-s) days can be given as :

⇒ \frac{1}{15}(60-s)

Simplifying using distribution.

⇒ (\frac{1}{15}.60)-(\frac{1}{15}.s)

⇒ 4-\frac{s}{15}

Dancie needs to crochet a minimum of 3 blankets to reach her goal.

Thus, the inequality can be given as:

4-\frac{s}{15}\geq 3

Solving the inequality for s

Subtracting 4 both sides.

4-4-\frac{s}{15}\geq 3-4

-\frac{s}{15}\geq -1

Multiplying both sides by -15.

-15(-\frac{s}{15})\leq -15(-1) [On multiplying by a negative number the sign of inequality reverse]

∴ s\leq 15

Thus, Dancie can skip a maximum of 15 days.

5 0
2 years ago
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