9. A jewelry maker use 48 purple beads and 64 pink beads to make special bracelets. Each bracelet

How many possible groups of 4 cards from the 30 are possible

stellarik [79]

Answer:

120 this is a combi question it is identical to how many corners on each card face.

Step-by-step explanation:

8 0

4 years ago

A random sample of 64 students at a university showed an average age of 20 years and a sample standard deviation of 4 years. The

adelina 88 [10]

Answer:

The 90% confidence level is $19.15< L < 20.85$

Step-by-step explanation:

From the question we are told that

The sample size is $n = 64$

The mean age is $\= x = 20 \ years$

The standard deviation is $\sigma = 4 \ years$

Generally the degree of freedom for this data set is mathematically represented as

$df = n - 1$

substituting values

$df = 64 - 1$

$df = 63$

Given that the level of confidence is 90% the significance level is mathematically evaluated as

$\alpha = 100 - 90$

$\alpha =$ 10 %

$\alpha = 0.10$

Now $\frac{\alpha }{2} = \frac{0.10}{2} = 0.05$

Since we are considering a on tail experiment

The critical value for half of this significance level at the calculated degree of freedom is obtained from the critical value table as

$t_{df, \frac{ \alpha}{2} } = t_{63, 0.05 } = 1.669$

The margin for error is mathematically represented as

$MOE = t_{df , \frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

substituting values

$MOE = 1.699 * \frac{4 }{\sqrt{64} }$

$MOE = 0.85$

he 90% confidence interval for the true average age of all students in the university is evaluated as follows

$\= x - MOE < L < \= x + E$

substituting values

$20 - 0. 85 < L < 20 + 0.85$

$19.15< L < 20.85$

4 0

3 years ago

Y= 7500 (1 + .03)^x

WINSTONCH [101]

Here we want to analyze the given exponential equation. The answers are:

initial value = 7500
Rate of growth = 1.03
Percent of change = 3%

<h3>General exponential equation:</h3>

The general exponential equation is just:

y = A*(r)^x

Where:

A is the initial value
r is the rate of growth or decay
(r - 1)*100% gives the percent of change.

Now that we know the general form, we can look at our equation:

y = 7500*(1 + 0.03)^x

Using the above information, we can see that:

initial value = 7500
Rate of growth = 1 + 0.03 = 1.03
Percent of change = (1.03 - 1)*100% = 3%

If you want to learn more about exponential equations, you can read:

brainly.com/question/11832081

5 0

3 years ago

Read 2 more answers

25 points ! Circle B is Internally tangent to circle A at point p. Likewise, circle C is internally tangent to circle D at point

Greeley [361]

All the given points are collinear, so we have ...
AB +BC = AC
BC +CS +SD = BD
The problem statement tells us
BD = AC
BC +CS +SD = AB +BC . . . . . substituting for BD and AC
BC +CS +2 = 4 +BC . . . . . . . . substituting given lengths
CS = 2 . . . . . . . . . . . . . . . . . . . subtract (2+BC)

CS is the radius of Circle C, so its diameter is twice that: 4. The radius of Circle D is the diameter of Circle C plus SD, so is 4 +2 = 6. The diameter of Circle D is twice that: 12.

The diameter of Circle C is 4.
The diameter of Circle D is 12.

3 0

3 years ago

If a/b=2 what is the value of 4b/a

bazaltina [42]

Anwer:

4b/a=2

Step-by-step explanation:

Lets assume:

a = 4 & b = 2

So a/b would equal 2.

4b/a indicates that you are going to multiply b times 4, meaning that in this scenario you would multiply 2 times 4.

4(2) = 8

and 8 divided by (4) is 2.

Why 4? Because remember a = 4 (in this scenario).

Other examples:

10/5 = 2, --> 4(5) = 20, --> 20/10 = 2.

20/10 = 2. --> 4(10) = 40, --> 40/20 = 2.

5 0

4 years ago

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