Six identical circles fit inside the rectangle as shown below. If the rectangle has a width of 15

I suck at math but what's greater 0.67 or 0.6

Vesna [10]

Answer:

0.67!

Step-by-step explanation:

0.6 is just 0.60 which is less than 0.67

6 0

3 years ago

Help asap will give brainliest

ArbitrLikvidat [17]

<u>Answer:</u>

• Equation = $2(\frac{7}{4}w + w) = 176$

• length = 56 ft

• width = 32 ft

<u>Step-by-step explanation:</u>

The ratio of the length to width is 7:4.

∴ $\frac{l}{w} = \frac{7}{4}$

⇒ $l = \frac{7}{4} w$ [Equation 1]

We know that the perimeter of the garden is 176 feet.

∴ $2(l + w) = 176$

⇒ $2(\frac{7}{4}w + w) = 176$

⇒ $\frac{7}{4} w + w = 88$ [From Equation 1]

⇒ $\frac{7 w + 4w}{4} = 88$

⇒ $\frac{11w}{4} = 88$

⇒ $11w = 352$

⇒ $w = \bf 32 \space\ ft$

We know from Equation 1 that:

$l = \frac{7}{4} w$

∴ $l = \frac{7}{4} (32)$

⇒ $l = \bf 56 \space\ ft$

7 0

2 years ago

What's the LCF of 12, 27, and 36?

Fudgin [204]

3.....................

7 0

3 years ago

Read 2 more answers

Find the number of positive integers n is less than or equal to 1000 such that 15n is a perfect square.

boyakko [2]

Answer:

8 positive integers.

Step-by-step explanation:

One value of n would be 15 because 225 = 15^2.

Other values are 225 * n where 15n <= 1000 and n is a perfect square.

So n = 4 gives us 225* 4 = 900 which is a perfect square and 15*4 = 60.

n = 9 gives us 225 * 9 which is a perfect square and 15*9 = 135.

n = 16 gives us 225*16 and 15*16 = 240 , so OK.

n = 25 gives a perfect square and and 15*25 = 375 - so OK.

n = 36 gives a perfect square and 15*36 = 540 - so OK.

n = 49 gives a perfect square and 15*49 = 735 - so OK.

n = 64 gives a perfect square and 15*64 = 960 - so ok.

n = 81 gives a perfect square and 15 * 81 = 1215 so NOT ok.

3 0

3 years ago

USA Today reports that about 25% of all prison parolees become repeat offenders. Alice is a social worker whose job is to counse

pychu [463]

Answer:

a) $P(X=0)=(4C0)(0.75)^0 (1-0.75)^{4-0}=0.0039$

$P(X=1)=(4C1)(0.75)^1 (1-0.75)^{4-1}=0.0469$

$P(X=2)=(4C2)(0.75)^2 (1-0.75)^{4-2}=0.211$

$P(X=3)=(4C3)(0.75)^2 (1-0.75)^{4-3}=0.422$

$P(X=4)=(4C4)(0.75)^2 (1-0.75)^{4-4}=0.316$

b) $E(X) = np = 4*0.75=3$

c) $Sd(X) =\sqrt{np(1-p)}=\sqrt{4*0.75*(1-0.75)}=0.866$

d) $P(X \geq 3) \geq 0.98$

And the dsitribution that satisfy this is $X\sim Binom(n=9,p=0.75$

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".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=4, p=1-0.25=0.75)$

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:

$nCx=\frac{n!}{(n-x)! x!}$

Part a

$P(X=0)=(4C0)(0.75)^0 (1-0.75)^{4-0}=0.0039$

$P(X=1)=(4C1)(0.75)^1 (1-0.75)^{4-1}=0.0469$

$P(X=2)=(4C2)(0.75)^2 (1-0.75)^{4-2}=0.211$

$P(X=3)=(4C3)(0.75)^2 (1-0.75)^{4-3}=0.422$

$P(X=4)=(4C4)(0.75)^2 (1-0.75)^{4-4}=0.316$

Part b

The expected value is givn by:

$E(X) = np = 4*0.75=3$

Part c

For the standard deviation we have this:

$Sd(X) =\sqrt{np(1-p)}=\sqrt{4*0.75*(1-0.75)}=0.866$

Part d

For this case the sample size needs to be higher or equal to 9. Since we need a value such that:

$P(X \geq 3) \geq 0.98$

And the dsitribution that satisfy this is $X\sim Binom(n=9,p=0.75$

We can verify this using the following code:

"=1-BINOM.DIST(3,9,0.75,TRUE)" and we got 0.99 and the condition is satisfied.

4 0

3 years ago