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aleksklad [387]

3 years ago

7

Carlos made up a game where, in a deck of cards, the red cards (hearts and diamonds) ard negative and the black cards (spades an

d clubs) are positive. All face cards are worth 10 points, and number cards are worth their value.

1 answer:

Hitman42 [59]3 years ago

5 0

What's the question thoo

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Math help please.. thank you !! :) construct an angle

lorasvet [3.4K]

Well first draw a straight line, then an angle with a compass on both figures ( same distance ) then measure the distance between the 2 intersections and copy it onto your figure. now draw a line through the origin and the 2nd intersection

3 0

3 years ago

A city council consists of eight Democrats and eight Republicans. If a committee of six people is selected, find the probability

saw5 [17]

Answer:

39.16% probability of selecting three Democrats and three Republicans

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the people are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

Desired outcomes:

3 Democrats, from a set of 8.

3 Republicans, from a set of 8.

$D = C_{8,3}*C_{8,3} = (C_{8,3})^{2} = (\frac{8!}{3!5!})^{2} = 56^2 = 3136$

Total outcomes:

6 people from a set of 16.

$T = \frac{16!}{6!10!} = 8008$

Probability:

$p = \frac{D}{T} = \frac{3136}{8008} = 0.3916$

39.16% probability of selecting three Democrats and three Republicans

5 0

3 years ago

the band members sold 316 juice drinks for a fundraiser. they sold 52 more grape drinks than strawberry drinks. how many of each

Delvig [45]

S+g=316 "s"=strawberry "g"=grape
g=52+s

plug in for "g" to find "s"
s+(52+s)=316
2s+52=316
2s=316-52
2s=264
s=264/2
s=132

find "g"
g=52+132
g=184

4 0

3 years ago

Read 2 more answers

A manufacturer of sprinkler systems designed for fire protection claims that the average activating temperature is at least 135°

nirvana33 [79]

Answer:

$z=\frac{133-135}{\frac{3.3}{\sqrt{32}}}=-3.428$

$p_v =P(z$

If we compare the p value and the significance level given for example $\alpha=0.1$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the true mean is significantly lower than 135 so the claim not makes sense

Step-by-step explanation:

Data given and notation

$\bar X=133$ represent the sample mean

$\sigma=3.3$ represent the standard deviation for the population

$n=32$ sample size

$\mu_o =135$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the true mena is at least 135, the system of hypothesis would be:

Null hypothesis: $\mu \geq 135$

Alternative hypothesis: $\mu < 135$

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{133-135}{\frac{3.3}{\sqrt{32}}}=-3.428$

Calculate the P-value

Since is a one-side lower test the p value would be:

$p_v =P(z$

Conclusion

If we compare the p value and the significance level given for example $\alpha=0.1$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the true mean is significantly lower than 135 so the claim not makes sense

3 0

3 years ago

A high school mathematics teacher can grade a set of exams in 7 hours working alone. If their student teacher helps them, it wi

Stels [109]

It takes 9 hrs 19.8 minutes for the student teacher to grade the exams if they worked alone

<u>Solution:</u>

Let the efficiency of the school teacher be “x” and the efficiency of the student teacher be “y”

Here the word efficiency means the rate of doing work

Let the total work to be completed be W

According to the question,

The time taken by the school teacher to complete the work is 7 hrs.

So we can write it in equation form

$W = x \times 7$ ---- eqn 1

where W is the total work and x is the efficiency

Similarly for student teacher and school teacher doing the work simultaneously, we can write the equation as

$W =(x +y ) \times 4$

Equating eqn 1 and 2

$x \times 7=(x+y) \times 4$

7x = 4x + 4y

3x = 4y

So in ratio x : y = 4 : 3

Now putting value of x = 4 in equation (1) we get total work to be 28

Now, <em>total time taken by the student teacher = total work ÷ efficiency of student teacher</em>

Hence, total time taken by the student teacher = 28 ÷ 3 = 9.33 hrs

= 9 hrs 19.8 minutes

Hence it takes 9 hrs 19.8 minutes for the student teacher to grade the exams if they worked alone

4 0

3 years ago