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brilliants [131]

3 years ago

9

10.4, 10.3, 11.7, 11.1, 8.0, 4.4, 2.6, 1.8, 2.5 4.4,

2 answers:

Ivenika [448]3 years ago

7 0

Answer:

Mean: 7

Median: 7,65

Mode : 4.4

range: 9.9

1.8, 2.5 2.6, 4.4, 4.4, 7.3, 8.0, 9.5, 10.3, 10.4, 11.1, 11.7

Lyrx [107]3 years ago

4 0

Answer:

Step-by-step explanation:

Median: 7.65

Mean: 7

Mode: 4.4

Range: 9.9

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Write 6(9+2k)= -3 in written form

Alchen [17]

Answer:

27k+3=0

Step-by-step explanation:

Write in standard form.

this way?

4 0

2 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:

a

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

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

b

$F_{critical} = 1.8608$

c

$F = 2.9085$

d

The decision rule is

Reject the null hypothesis

e

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

Peter has 3200 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed a

salantis [7]

Answer:

$A = 640000\,yd^{2}$

Step-by-step explanation:

Expression for the rectangular area and perimeter are, respectively:

$A (x,y) = x\cdot y$

$3200\,yd = 2\cdot (x+y)$

After some algebraic manipulation, area expression can be reduce to an one-variable form:

$y = 1600 -x$

$A (x) = x\cdot (1600-x)$

The first derivative of the previous equation is:

$\frac{dA}{dx}= 1600-2\cdot x$

Let the expression be equalized to zero:

$1600-2\cdot x=0$

$x = 800$

The second derivative is:

$\frac{d^{2}A}{dx^{2}} = -2$

According to the Second Derivative Test, the critical value found in previous steps is a maximum. Then:

$y = 800$

The maximum area is:

$A = (800\,yd)\cdot (800\,yd)$

$A = 640000\,yd^{2}$

8 0

3 years ago

Read 2 more answers

Karen buys 8.5 pounds of flour she uses 2.5 pounds to make bread she keeps the rest of the flour in a small storage bags if each

fenix001 [56]

15 is the answer . What you do is unsimplify 2/5 which equals .4 . Then divide 6 and .4 which is 15

4 0

3 years ago

Read 2 more answers

.....................................

Mandarinka [93]

$\frac{5}{a + 3} = \frac{3}{a - 2}$

$5(a - 2) = 3(a + 3)$

$5a - 10 = 3a + 9$

$5a - 3a = 9 + 10$

$2a = 19$

$a = \frac{19}{2} = 9 \frac{1}{2}$

$Answer = D.) a = 9 \frac{1}{2}$

$\textbf{Spymore}$

4 0

3 years ago