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2 years ago

Please help me with this 4.7 x 10^-1 as an ordinary number

Mathematics

2 answers:

NARA [144]2 years ago

8 0

Answer:

0.47

Step-by-step explanation:

47/100

hope it helps thank you

Alexandra [31]2 years ago

3 0

Answer:

The answer is 0.47

Msmsmsmaka

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Which of these rational numbers is a repeating decimal? Type all that apply.

djyliett [7]

Answer:

- 0.347
2.153

Step-by-step explanation:

6 0

1 year ago

What lump sum do parents need to deposit in an account earning 9%, compounded monthly, so that it will grow to $100,000 for thei

gogolik [260]

Answer:

They need to deposit $31,172.49

Step-by-step explanation:

The compound interest formula is given by:

$A = P(1 + \frac{r}{n})^{nt}$

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time the money is invested or borrowed for, in years.

In this problem

We want to find P for which $A = 100000$ when $r = 0.09, n = 12, t = 13$

$A = P(1 + \frac{r}{n})^{nt}$

$100000 = P(1 + \frac{0.09}{12})^{12*13}$

$3.208P = 100000$

$P = \frac{100000}{3.208}$

$P = 31172.49$

They need to deposit $31,172.49

6 0

3 years ago

Assume a researcher recruits 150 African American and Caucasian individuals taking warfarin to determine if there is a differenc

Anettt [7]

Answer:

Z=11.0

Step-by-step explanation:

Let Caucasian individuals be the population 1 and African American be the population 2. So, we are given that

n=150

n1=75

mean1=xbar1=6.1.

standard deviation1=S.D1=σ1=1.1.

Variance1=V(x1)=σ1²=1.1²=1.21.

n2=75.

mean2=xbar2=4.3.

standard deviation2=S.D2=σ2=0.9.

Variance2=V(x2)=σ2²=0.9²=0.81.

The z-statistic is

$Z=\frac{xbar1-xbar2}{\sqrt{\frac{V(x1)}{n1}+ \frac{V(x2)}{n2} } }$

$Z=\frac{6.1-4.3}{\sqrt{\frac{1.21}{75}+ \frac{0.81}{75} } }$

$Z=\frac{1.8}{\sqrt{0.0161+ 0.0108 } }$

$Z=\frac{1.8}{\sqrt{0.0269 } }$

$Z=\frac{1.8}{0.164 } }$

Z=10.97

Z=11.0

So, the z value obtained while calculating the test statistic is approximately 11.0.

4 0

2 years ago

Cos (pi/2 -x) = sin x is this true or false?

Ksenya-84 [330]

The above statement is true meaning cos(π/₂-x)=sin(x)

Step-by-step explanation:

We know that sine and cosine function are mutual cofunctions.

Hence this would mean that these two functions are complimentary of each other meaning cos(π/₂-x) = sin(x)

This can be verified mathematically by assuming “x” as 30°

Hence Cos (π/₂-30°) = cos 60°= 0.5 (from trigonometric table values)

Similarly Sin 30°= 0.5 (from trigonometric table values)

This can be proved through using the formula

Cos(A-B)= Cos A.Cos B + Sin A.Sin B

Here A=90° and b=x°

Putting the values we get (it is to be remembered that cos 90°=0 and sin 90°=1)

Cos 90°.cos x+ sin 90.sin x

0+sinx= sinx

Hence it is proved that cos(π/₂-x)=sin(x)

7 0

3 years ago

How to graph the function f(x)=-2/3x+490

julia-pushkina [17]

Start on the y-axis and put a point at 490 bc it the y-intercept and then from there go up 2 and right 3 and put a point there and keep going and to go down you just go down 2 and left 3 and the point it.

7 0

2 years ago

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