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3 years ago

Question

Mathematics

1 answer:

lapo4ka [179]3 years ago

8 0

Answer:

1/9

Step-by-step explanation:

Since Dan has 20 rings and 9 hats out of which 5 hats are blue and 4 rings are red, there is a 5/9 x 4/20 chance that he will pick those two. When you simplify the fractions you get a 1/9 chance that Dan will choose such options.

You might be interested in

Does the graph shown below represent y as a linear function of x?

marshall27 [118]

Answer: No, it is not a linear function

Explanation:

We can see that it's a function because it passes the vertical line test, but it's not linear. To be linear, it needs to be one single straight line only (instead of composed of multiple pieces of different straight lines). This graph is considered a piecewise function.

So if your teacher asked "is this a function?" then the answer would be "yes". However, the "linear" portion is what makes the final answer "no".

5 0

3 years ago

Which are the roots of the quadratic function f(q) = q^2 - 125? Select two options.

liubo4ka [24]

Answer:

None of the options are correct

Step-by-step explanation:

Given

$f(q) = q^2 - 125$

Required

The roots of the function

Since the function is a quadratic function; to get the roots of the function, f(q) must be equal to 0

$f(q) = q^2 - 125$ becomes

$0 = q^2 - 125$

Make $q^2$ the subject of formula

$125= q^2$

Rearrange

$q^2 = 125$

Take square roots of both sides

$\sqrt{q^2} = \sqrt{125}$

$q = \sqrt{125}$

Expand the square root of 125

$q = \sqrt{25 * 5}$

$q = \sqrt{25} * \sqrt{5}$

q = ±5 $* \sqrt{5}$

Split into 2

$q = 5 * \sqrt{5}$ or $q = -5 * \sqrt{5}$

$q = 5 \sqrt{5}$ or $q = -5 \sqrt{5}$

Hence, the roots of the quadratic function are $q = 5 \sqrt{5}$ or $q = -5 \sqrt{5}$

5 0

3 years ago

Read 2 more answers

- 26 = 8 + 5(a + 2)

yawa3891 [41]

Answer:

-44/5 = a

Step-by-step explanation:

- 26 = 8 + 5(a + 2)

Subtract 8 from each side

- 26-8 = 8-8 + 5(a + 2)

-34 = 5(a +2)

Distribute

-34 = 5a +10

Subtract 10 from each side

-34-10 = 5a +10-10

-44 = 5a

Doivide each side by 5

-44/5 = 5a/5

-44/5 = a

7 0

3 years ago

Given the following information about a hypothesis test of the difference between two means based on independent random samples,

HACTEHA [7]

Answer:

$S^2_p =\frac{(13-1)(5)^2 +(10 -1)(3)^2}{13 +10 -2}=18.143$

And the deviation would be just the square root of the variance:

$S_p=4.259$

Then the statistic is given by:

$t=\frac{(12 -9)-(0)}{4.259\sqrt{\frac{1}{13}+\frac{1}{10}}}=1.674$

And the correct option would be:

t = 1.674

Step-by-step explanation:

Data given:

$n_1 =13$ represent the sample size for group 1

$n_2 =10$ represent the sample size for group 2

$\bar X_1 =12$ represent the sample mean for the group 1

$\bar X_2 =9$ represent the sample mean for the group 2

$s_1=5$ represent the sample standard deviation for group 1

$s_2=3$ represent the sample standard deviation for group 2

We are assuming two independent samples from two normal distributions with equal variances we are assuming that

$\sigma^2_1 =\sigma^2_2 =\sigma^2$

And the statistic is given by this formula:

$t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{S_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}$

Where t follows a t distribution with $n_1+n_2 -2$ degrees of freedom and the pooled variance $S^2_p$ is given by this formula:

$\S^2_p =\frac{(n_1-1)S^2_1 +(n_2 -1)S^2_2}{n_1 +n_2 -2}$

The system of hypothesis on this case are:

Null hypothesis: $\mu_1 \leq \mu_2$

Alternative hypothesis: $\mu_1 > \mu_2$

The pooled variance is given by:

$S^2_p =\frac{(13-1)(5)^2 +(10 -1)(3)^2}{13 +10 -2}=18.143$

And the deviation would be just the square root of the variance:

$S_p=4.259$

Then the statistic is given by:

$t=\frac{(12 -9)-(0)}{4.259\sqrt{\frac{1}{13}+\frac{1}{10}}}=1.674$

And the correct option would be:

t = 1.674

4 0

3 years ago

In a Louisiana chili cook-off, 18 of the 40 chilis included two types of beans.

Pavel [41]

Answer:

55%

Step-by-step explanation:

18 out of 40 include chili.

So 22 has no chili

22/40 = 0.55 or 55%

4 0

3 years ago