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2 years ago

I’m not sure how to go about this question

Mathematics

1 answer:

Ainat [17]2 years ago

3 0

Answer:

for the first card selected, just multiply the number of cards of that kind over the total amount (30) by the new number of cards of that kind over the new total amount (29)

sample space is 10+6+9+5=30

7. 10/30*9/29=0.103

8. 6/30*5/29

9. 9/30*6/29

10. 5/30*9/29

11. 21/30*20/29

12. 19/30*18/29

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-x+y=15−x+y=15 and -5x-3y=27−5x−3y=27 <br> Solve the system of equations by combining the equations

Arisa [49]

Answer:

x = -9, y = 6.

Step-by-step explanation:

-x + y = 15

-5x - 3y = 27

From the first equation:

y = x + 15.

Substituting for y in second equation:

-5x - 3(x + 15) = 27

-8x - 45 = 27

-8x = 72

x = -9.

Now plug x = -9 into equation 1

-(-9) + y = 15

y = 15 -9 = 6.

8 0

3 years ago

A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salari

guajiro [1.7K]

Answer:

The null hypothesis is $H_o : \sigma^2_1 = \sigma^2 _2$

The alternative hypothesis is $H_a : \sigma_1 ^2 > \sigma^2_2$

$F_{critical} = 1.8608$

$F = 2.9085$

The decision rule is

Reject the null hypothesis

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 30$

The sample variance for elementary school is $s^2_1 = 8324$

The second sample size is $n_2 = 30$

The sample variance for the secondary school is $s^2_2 = 2862$

The significance level is $\alpha = 0.05$

The null hypothesis is $H_o : \sigma^2_1 = \sigma^2 _2$

The alternative hypothesis is $H_a : \sigma_1 ^2 > \sigma^2_2$

Generally from the F statistics table the critical value of $\alpha = 0.05$ at first and second degree of freedom $df_1 = n_1 - 1 = 30 - 1 = 29$ and $df_2 = n_2 - 1 = 30 - 1 = 29$ is

$F_{critical} = 1.8608$

Generally the test statistics is mathematically represented as

$F = \frac{s_1^2 }{s_2^2}$

=> $F = \frac{8324 }{2862}$

=> $F = 2.9085$

Generally from the value obtained we see that $F > F_{critical }$ Hence

The decision rule is

Reject the null hypothesis

The conclusion is

There is sufficient evidence to support the researchers claim

4 0

3 years ago

Nola purchased two. 5 pounds of cheese for 10. $50 her mother purchased 3 pounds of the same cheese for $12.60 the cost of the c

Dovator [93]

Answer: 1 pound of cheese cost $4.2

Step-by-step explanation:

Nola purchased 2.5 pounds of cheese for 10. $50

Her mother purchased 3 pounds of the same cheese for $12.60

If the cost of the cheese varies directly with the number of pounds purchased, it means that the higher the pounds of cheese purchased, the higher the cost

To determine the the cost of 1 pound of cheese, we wound divide the the cheese by the number of pounds bought.

It becomes 10.5/2.5 = 4.2

7 0

3 years ago

Which description best fits the distribution of

Marta_Voda [28]

C is the correct answer I worked it out

5 0

3 years ago

Which figure has the greatest number of lines of symmetry? A. equilateral triangle B. square C. circle D. regular pentagon

melomori [17]

C is the answer. Hope this help.s