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Readme [11.4K]
3 years ago
10

6th grade math, help me please:)

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
6 0

Answer:

8:3 is the ratio of kids to adults

32 kids, so there are 12 adults

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The math test has 10 multiple choice questions, each with 4 answers. If Betty guesses correctly on the first 2 questions, what i
bekas [8.4K]
<span>It doesn't matter that she guessed correctly on the first two questions, guessing the third question correctly is independent of guessing any other question correctly. Therefore, the probability is one out of four, 1/4.</span>
5 0
3 years ago
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Exhibit 6-5 The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation o
hjlf

Answer:

46.18% of the items will weigh between 6.4 and 8.9 ounces.

Step-by-step explanation:

We are given that the weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.

<em>Let X =  weight of items produced by a machine</em>

The z-score probability distribution for is given by;

                Z = \frac{  X -\mu}{\sigma}  ~ N(0,1)

where, \mu = mean weight = 8 ounces

            \sigma = standard deviation = 2 ounces

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, percentage of items that will weigh between 6.4 and 8.9 ounces is given by = P(6.4 < X < 8.9) = P(X < 8.9 ounces) - P(X \leq 6.4 ounces)

   P(X < 8.9) = P( \frac{  X -\mu}{\sigma} < \frac{  8.9-8}{2} ) = P(Z < 0.45) = 0.67364  {using z table}

   P(X \leq 70) = P( \frac{  X -\mu}{\sigma} \leq \frac{  6.4-8}{2} ) = P(Z \leq -0.80) = 1 - P(Z < 0.80)

                                                 = 1 - 0.78814 = 0.21186

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.45 and x = 0.80 in the z table which has an area of </em>0.67364<em> and </em>0.78814<em> respectively.</em>

Therefore, P(6.4 < X < 8.9) = 0.67364 - 0.21186 = 0.4618 or 46.18%

<em>Hence, 46.18% of the items will weigh between 6.4 and 8.9 ounces.</em>

8 0
3 years ago
What is 2/5 of 1 7/8
Papessa [141]

Answer:

0.75

Step-by-step explanation:

I think

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3 years ago
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Graph y = x2 + 2. Identify the vertex of the graph. Tell whether it is a minimum or maximum. (0, 2); maximum (0, 2); minimum (2,
miskamm [114]

Answer:

(0,2); minimum

Step-by-step explanation:

Given:

The function is, y=x^{2}+2

The given function represent a parabola and can be expressed in vertex form as:

y=(x-0)^{2}+2

The vertex form of a parabola is y=(x-h)^{2}+k, where, (h,k) is the vertex.

So, the vertex is (0,2).

In order to graph the given parabola, we find some points on it.

Let x=-2,y=(-2)^{2}+2=4+2=6

x=-1,y=(-1)^{2}+2=1+2=3

x=0,y=(0)^{2}+2=0+2=2

x=2,y=(2)^{2}+2=4+2=6

x=1,y=(1)^{2}+2=1+2=3

So, the points are (-2,6),(-1,3),(0,2),(1,3),(2,6).

Mark these points on the graph and join them using a smooth curve.

The graph is shown below.

From the graph, we conclude that at the vertex (0,2), it is minimum.

8 0
2 years ago
If p is inversely proportional to the square of q, and p is 28 when q is 3, determine p when q is equal to 2.
lianna [129]

Answer:63

Step-by-step explanation:

4 0
3 years ago
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