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Vitek1552 [10]
3 years ago
11

Please really need anyone’s help on this thank you

Mathematics
2 answers:
stiv31 [10]3 years ago
8 0
A (-6.5,-3.5) is the closest
USPshnik [31]3 years ago
4 0
When something says 'solve for the system of equations' they are looking for a point where the graph of the two functions intersects. Since they give you the graph, the two functions approximately intersect somewhere between the x-value of -6 and -7 (i.e. -6.5) and somewhere between the y-value of -3 and -4 (i.e. -3.5). So, the closest estimate is (-6.5, -3.5) or A.
You might be interested in
The average estimated hours a person in the United States spent playing video games per year from 2002 to 2012 were 71, 80, 82,
ozzi

Answer:

Population variance 579

Population standard deviation 24

Step-by-step explanation:

The average estimated hours a person in the United States spent playing video games per year from 2002 to 2012 were 71, 80, 82, 78, 80, 91, 107, 121, 125, 131, and 142.

The population variance is given by:

\sigma^2=\frac{\sum(x-\mu)^2}{n}

\mu=\frac{71+80+82+78+80+91+107+121+125+131+142}{11}

\mu=\frac{1108}{11}

This implies that:

\sigma^2=\frac{(71-\frac{1108}{11})^2+(80-\frac{1108}{11})^2+(82-\frac{1108}{11})^2+(78-\frac{1108}{11})^2+(80-\frac{1108}{11})^2+...+(142-\frac{1108}{11})^2}{11}

\sigma^2=\frac{70006}{121} =579 to the nearest whole number

The population standard deviation is

\sigma=\frac{\sqrt{70006} }{11}=24 to the nearest whole number.

3 0
3 years ago
Read 2 more answers
Help pleaseeee, I don't understand​
miv72 [106K]

Answer:

B.

Step-by-step explanation:

2x+4-1

3 0
3 years ago
Are there any rational numbers between 0.4 repeat and 4/9? explain
Alisiya [41]
No.
.4444444 (repeats forever)
and 4/9 are the same number
8 0
3 years ago
Read 2 more answers
The national mean annual salary for a school administrator is $90,000 a year (The Cincinnati Enquirer, April 7, 2012). A school
aliina [53]

Answer:

Step-by-step explanation:

The question is incomplete. The missing part is given below:

A) Formulate hypotheses that can be used to determine whether the population mean annual administrator salary in Ohio differs from the national mean of $90,000.

B) The sample data for 25 Ohio administrators is contained below. What is the p-value for your hypothesis test in part A?

C) At alpha = 0.05, can your null hypothesis be rejected? What is your conclusion?

D) Repeat the preceding hypothesis test using the critical value approach?

Salary Data

77600 , 76000 , 90700 , 97200 , 90700 , 101800 , 78700 , 81300 , 84200 , 97600 , 77500 , 75700 , 89400 , 84300 , 78700 , 84600

, 87700 , 103400 , 83800 , 101300 , 94700 , 69200 , 95400 , 61500 , 68800

Solution:

Mean = total sum of salaries/number of school administrators

Mean = (77600 + 76000 + 90700 , 97200 + 90700 + 101800 + 78700 + 81300 + 84200 + 97600 + 77500 + 75700 + 89400 + 84300 + 78700 + 84600 + 87700 + 103400 + 83800 + 101300 + 94700 + 69200 + 95400 + 61500 + 68800)/25 = 85272

Standard deviation = √(summation(x - mean)²/n

n = 25

√Summation(x - mean)²/n = √[(77600 - 85272)² + (76000 - 85272)² + (90700 - 85272)² + (97200 - 85272)² + (90700 - 85272)² + (101800 - 85272)² + (78700 - 85272)² + (81300 - 85272)² + (84200 - 85272)² + (97600 - 85272)² + (77500 - 85272)² + (75700 - 85272)² + (89400 - 85272)² + (84300 - 85272)² + (78700 - 85272)² + (84600 - 85272)² + (87700 - 85272)² + (103400 - 85272)² + (83800 - 85272)² + (101300 - 85272)² + (94700 - 85272)² + (69200 - 85272)² + (95400 - 85272)² + (61500 - 85272)² + (68800 - 85272)²]/25 = 11039.23

A) We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0 : µ = 90000

For the alternative hypothesis,

H1 : µ ≠ 90000

This is a 2 tailed test.

B) Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 25

Degrees of freedom, df = n - 1 = 25 - 1 = 24

t = (x - µ)/(s/√n)

Where

x = sample mean = 85272

µ = population mean = 90000

s = samples standard deviation = 11039.23

t = (85272 - 90000)/(11039.23/√25) = - 2.14

We would determine the p value using the t test calculator. It becomes

p = 0.043

C) Since alpha, 0.05 > the p value, 0.043, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the population mean annual administrator salary in Ohio differs from the national mean of $90,000.

D) Since α = 0.05, the critical value is determined from the normal distribution table.

For the left, α/2 = 0.05/2 = 0.025

The z score for an area to the left of 0.005 is - 1.96

For the right, α/2 = 1 - 0.025 = 0.975

The z score for an area to the right of 0.975 is 1.96

In order to reject the null hypothesis, the test statistic must be smaller than - 1.96 or greater than 1.96

Since - 2.14 < - 1.96 and 2.14 > 1.96, we would reject the null hypothesis.

7 0
3 years ago
A gift bag shaped like a rectangular prism has a volume of 1152 cubic inches. The dimensions of the gift bag in terms of its wid
dolphi86 [110]
The answer is
w = 6 in
l = 16 in
h = 12 in

The volume of a rectangular prism with length l, width w, and height h is:
V = l * w * h

V = 1152 in³

After some internet research, I found out that:
l = 2w + 4
h = 18 - w

So,
V = l * w * h
1152 = (2w + 4) * w * (18 - w)

Multiply the first two factors:
1152 = (2w² + 4w) * (18 - w)

Multiply two remaining factors:
1152 = 36w² + 72w - 2 w³ - 4w²

Rearrange:
-2w³ + 36w² - 4w² + 72w = 1152
-2w³ + 32w² + 72w = 1152
-2w³ + 32w² + 72w - 1152 = 0

Divide all by 2:
-w³ + 16w² + 36w - 576 = 0

Multiply by (-1):
w³ - 16w² - 36w + 576 = 0

Rearrange:
(w³ - 36w) - (16w² - 576) = 0

Factor:
w * w² - w * 36 - (16 * w² - 16 * 36) = 0
w(w² - 36) - 16(w² - 36) = 0
(w - 16)(w² - 36) = 0
(w - 16)(w² - 6²) = 0
(w - 16)(w - 6)(w + 6) = 0

So, w - 16 = 0, or w - 6 = 0, or w + 6 = 0.
In other words: w = 16, or w = 6, or w = -6.

Width cannot be negative, so w ≠ -6.
If w = 16, then l = 2 * 16 + 4 = 32 + 4 = 36 and h = 18 - 16 = 2
But, since the height must be greater than the width (h > w), w ≠ 16

If w = 6, then l = 2 * 6 + 4 = 12 + 4 = 16 and h = 18 - 6 = 12.
Thus:
w = 6 in
l = 16 in
h = 12 in
3 0
3 years ago
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