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2 years ago

13

jessica is making bracelets for her friends. 1/4 of the beads are pink. if the greatest number of beads are 12 what other fracti

on could represent the part of the bracelet that are pink?

2 answers:

Rudiy272 years ago

4 0

The answer is 3
hope it helps

kvv77 [185]2 years ago

4 0

It is 12 of 1/4 which means 12 times 1/4. the answer is 12/4 or 3 wholes.12 divided by 4 equals to 3 wholes.

1/4x12=12/4=3

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A company produces precision 1 meter (1000 mm) rulers. the actual distribution of lengths of the rulers produced by this company

pogonyaev

Let X be the length of rulers. X follows Normal distribution with mean μ and standard deviation σ = 0.02. A sample of size n=4 is drawn from population and sample mean m=1000. We have to find 90% confidence interval for population mean μ.

Here population standard deviation is given to us so we will use z confidence interval for mean. It is given as

(Sample mean - Margin of error , Sample mean + Margin of error)

Where margin of error for z confidence interval is

ME = σ $\frac{z_{\alpha/2}}{\sqrt{n}}$

Where σ = population standard deviation = 0.02

n= sample size =4

$z_{\alpha/2}$ = Critical z score value for given confidence level

We have to find here 90% confidence interval so confidence level c= 0.9

α = 1 -c =1-0.9 = 0.1

$z_{\alpha/2}$ = $z_{0.1/2}$ = $z_{0.05}$

Here we have to find z score value such that area below it is -z is 0.05 and above z is 0.05

Using excel function to find z score value

=NORM.S.INV(0.05) = -1.645

For calculating confidence interval we consider positive z score value which is 1.645

So the margin of error is

ME = $\frac{0.02 * 1.645}{\sqrt{4}}$

ME = 0.01645

90% confidence interval for mean is

(Sample mean - ME, Sample mean+ME)

1000- 0.01645, 1000+0.01645

(1000.01645, 999.9836)

Rounding interval upto 3 decimal places

(1000.016, 999.984)

90% confidence interval for population mean is (1000.016, 999.984)

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1 year ago

Find a set of scalar parametric equations for the line formed by the two intersecting planes. 3x+3y+2z+2=0 2x−3y+2z−2=0

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The normal vectors to the two planes are (3, 3, 2) and (2, -3, 2). The cross product of these will be the direction vector of the line of intersection, (12, -2, -15).

Using x=0, we can find a point on this line by solving the simultaneous equations that remain:

... 3y +2z = -2

... -3y +2z = 2

Adding these, we get

... 4z = 0

... z = 0

so the point we're looking for is (x, y, z) = (0, -2/3, 0). This gives rise to the parametric equations ...

x = 12t
y = -2/3 -2t
z = -15t

By letting t=2/3, we can find a point on the line that has integer coefficients. That will be (x, y, z) = (8, -2, -10).

Then our parametric equations can be written as

x = 8 +12t
y = -2 -2t
z = -10 -15t

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2 years ago

Triangle JKL is equilateral. One side of the triangle, JL, is a diameter of circle M. Which is true about line segments JK and K

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It could be concluded that since line JL is a diameter of a circle, therefore, JK and KL are the tangents of the specific circle that JL is part of. By definition, a tangent is "a line that touches a curve at one point without touching it." Both these lines touches the edges of the circle M therefore they are tangents.

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1 year ago

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grigory [225]

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2 years ago

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A parabola, with its vertex at the origin, has a directrix at y = 3. Which statements about the parabola are true? Select two op

shutvik [7]

Answer:

Step-by-step explanation:

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$4p(y-k)=-(x-h)^2$

The p value from the equation is a distance, specifically the distance between either the vertex and the directrix, or the vertex and the focus. The vertex is exactly in the middle of the directrix and the focus. So that tells us that the focus is 3 units below the vertex (because the directrix is 3 units above the vertex). We also know from this that p = 3.

Filling in the equation with a vertex of (0, 0) which is our h and k respectively:

$4(3)(y-0)=-(x-0)^2$ which simplifies to

$12y=-x^2$ and multiplying both sides by -1:

$-12y=x^2$ . This is not standard form, but it matches what your equation is in the choices. So to sum up:

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The parabola opens upside down and the second choice is not true.

The p value is found by counting the units between the vertex and the directrix, so the third choice is not true.

We solved the equation by filling in the values for h, k, and p and got that the equation in the fourth choice is true.

So the fifth choice is not true.

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2 years ago

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