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4 years ago

What is 8.478 in expanded form

2 answers:

6 0

<span>8+0.4+0.07+0.008 you basically separate the numbers starting with the largest working down to the smallest.

</span>

maks197457 [2]4 years ago

4 0

Expanded form is the way of writing numbers to see the mathematical value of the individual digits. So the expanded form of 8.478 is
8+0.4+0.07+0.008

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Can someone help me with this?

Grace [21]

R: -4,-3
S: -3,1
T: 1,-2
U: stays the same
((:

5 0

3 years ago

Describe the steps you would follow to write a two-step inequality you can use to solve a real-world problem. & Write a situ

sveticcg [70]

Add 20 both sides
15x<150
divide bothsides by 15
x<10

ok
hmm

bob puts out 15lb of trash per day
he lost 20lbs of it
right now, he has less than 130 lb of trash
find how many days it has been

5 0

3 years ago

an arch way is modeled by the equation y=-2x^2+8x. A rod is to be placed across the archway at an angle definded by the equation

patriot [66]

So.. hmm check the picture below

now, to know where A and B are, that occurs when the parabolic equation equates the linear one

thus

$\bf y=-2x^2+8x
\\\\\\
x-2.23y+10.34=0\implies \cfrac{x+10.34}{2.23}=y
\\\\\\
y=y\implies -2x^2+8x=\cfrac{x+10.34}{2.23}
\\\\\\
-4.46x^2+17.84x=x+10.34
\\\\\\
0=4.46x^2-16.84x+10.34$

now, running that on the quadratic formula, you end up with the values of 3.00402497440839842242 and 0.77175977895483027713

thus B rounded up is 3.004 and A rounded up is 0.7718

what's the "y" value for B?, well, you can use either the linear or quadratic equation for that, let's use the quadratic one

$\bf B=3.00402497440839842242
\\\\\\
f(B)=-2B^2+8B\implies f(B)=5.98386770152842978586$

5 0

3 years ago

The standard IQ test is designed so that the mean is 100100 and the standard deviation is 1515 for the population of all adults.

Natalija [7]

Answer:

The sample size should be approximately 151.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 100

Population standard deviation, σ = 15

We have to evaluate the sample size, n.

Alpha, α = 0.10

Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.10} = \pm 1.64$

$100 \pm 1.64(\frac{15}{\sqrt{n}} ) = (98,102)$

$100 \pm 1.64(\displaystyle\frac{15}{\sqrt{n}} ) = (98,102)\\\\1.64(\frac{15}{\sqrt{n}} ) = 2\\\\n = 151.29 \approx 151$

Thus, the sample size should be approximately 151.

6 0

3 years ago

2. The Welcher Adult Intelligence Test Scale is composed of a number of subtests. On one subtest, the raw scores have a mean of

IgorC [24]

Answer:

a) 37.31 b) 42.70 c) 0.57 d) 0.09

Step-by-step explaanation:

We are regarding a normal distribution with a mean of 35 and a standard deviation of 6, i.e., $\mu$ = 35 and $\sigma$ = 6. We know that the probability density function for a normal distribution with a mean of $\mu$ and a standard deviation of $\sigma$ is given by

$f(x) = \frac{1}{\sqrt{2\pi}\sigma}\exp[-\frac{(x-\mu)^{2}}{2\sigma^{2}}]$

in this case we have

$f(x) = \frac{1}{\sqrt{2\pi}6}\exp[-\frac{(x-35)^{2}}{2(6^{2})}]$

Let $X$ be the random variable that represents a row score, we find the values we are seeking in the following way

a) we are looking for a number $x_{0}$ such that

$P(X\leq x_{0})$ = $\int\limits^{x_{0}}_{-\infty} {f(x)} \, dx = 0.65$ , this number is $x_{0}$ =37.31

you can find this answer using the R statistical programming languange and the instruction qnorm(0.65, mean = 35, sd = 6)

b) we are looking for a number $x_{1}$ such that

$P(X\leq x_{1})$ = $\int\limits^{x_{1}}_{-\infty} {f(x)} \, dx = 0.9$ , this number is $x_{1}$ =42.70

you can find this answer using the R statistical programming languange and the instruction qnorm(0.9, mean = 35, sd = 6)

c) we find this probability as

$P(28\leq X\leq 38)$ = $\int\limits^{38}_{28} {f(x)} \, dx = 0.57$

you can find this answer using the R statistical programming languange and the instruction pnorm(38, mean = 35, sd = 6) -pnorm(28, mean = 35, sd = 6)

d) we find this probability as

$P(41\leq X\leq 44)$ = $\int\limits^{44}_{41} {f(x)} \, dx = 0.09$

you can find this answer using the R statistical programming languange and the instruction pnorm(44, mean = 35, sd = 6) -pnorm(41, mean = 35, sd = 6)

6 0

4 years ago

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