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DENIUS [597]
4 years ago
15

If helen travels 567 miles miles in 9 hours how far does she travel in one hour

Mathematics
1 answer:
Lynna [10]4 years ago
5 0
To figure out how much she travels in one hour you just do 567÷9 so...
567÷9=63
Helen travels 63 miles per hour
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Please help! I don’t know how to multiply them I only know how to add subtract and divide! ;(
Pavel [41]

Answer:

The answer is 18

Step-by-step explanation:

4 0
3 years ago
Mya is doing a 45-minute cardio workout. She has completed 4 5 of the workout. In how many minutes will her workout be done?
Alika [10]

Answer:

9 minutes

Step-by-step explanation:

45/5 equals 9

6 0
4 years ago
Let a, b, c, and d be real numbers with a, c 6= 0. Prove that the lines y = ax+b and y = cx + d have the same x-intercept if and
Monica [59]

Step-by-step explanation:

We have got the lines :

y=ax+b\\y=cx+d

Both lines intercept the x-axis in the point :

I = (i_{1} ,i_{2})

In all point from x-axis the y-component is equal to 0.

I=(i_{1},o)

We replace the I point in the lines equations:

0=a(i_{1})+b \\0=c(i_{1})+d

From the first equation :

0=a(i_{1})+b \\-b=a(i_{1})\\i_{1}=\frac{-b}{a}

From the second equation :

0=c(i_{1})+d\\ -d=c(i_{1})\\i_{1}=\frac{-d}{c}

Then i_{1}=i_{1}

Finally :

\frac{-b}{a}=\frac{-d}{c} \\\frac{b}{a}=\frac{d}{c} \\ad=bc

y = ax + b and y = cx + d have the same x-intercept ⇔ad=bc

8 0
3 years ago
Please help me....trying to get my HS diploma, i did not graduate :(
jolli1 [7]

Answer:

A.

Step-by-step explanation:

so, the equation is

h(t) = -t² + 7t

so, we need to find the solutions for t (the time when the ball is exactly 10 ft in the air). there had to be 2 solutions, as the ball first goes up passing the 10 ft height, and then comes back down again, passing the 10 ft mark a second time. and between these 2 times the ball is higher (but not equal, so, we can only use < or > as inequality signs) than 10 ft.

10 = -t² + 7t

-t² + 7t - 10 = 0

the generation solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = t

a = -1

b = 7

c = -10

t = (-7 ± sqrt(7² - 4×-1×-10))/(2×-1) =

= (-7 ± sqrt(49 - 40))/-2 = (-7 ± sqrt(9))/-2

t1 = (-7 + 3)/-2 = -4/-2 = 2 seconds

t2 = (-7 - 3)/-2 = -10/-2 = 5 seconds

so, between 2 and 5 seconds airtime the ball is higher than 10 ft.

and remember : HIGHER THAN.

so, we cannot use any equality (like <= or >=).

t must be higher than 2 and lower than 5 :

2 < t < 5

3 0
2 years ago
According to 2015 census data, 42.7 percent of Colorado residents were born in Colorado. If a sample of 250 Colorado residents i
stepladder [879]

Answer:

sd(X)=\sqrt{np(1-p)}=\sqrt{250*0.427*(1-0.427)}=7.82

The best option is:

B.7.82

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Data given

p_C represent the real population proportion for residents born in Colorado  

\hat p_C =0.427 represent the estimated proportion for rsidents born in Colorado

n_C=250 is the sample size selected

Solution to the problem

Let X the random variable of interest (number of residents in the sample), on this case we now that:  

X \sim Binom(n=250, p=0.427)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}  

The expected value is given by this formula:

E(X) = np=250*0.427=106.75

And the standard deviation for the random variable is given by:

sd(X)=\sqrt{np(1-p)}=\sqrt{250*0.427*(1-0.427)}=7.82

The best option is:

B.7.82

8 0
3 years ago
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