MATHEMATICS COLLEGE

Need help please guysssssss

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

3x+2-x>8

2x+2>8

2x>8-2

2x>6

x>3

Answer 2

Answer:

Answer:

Step-by-step explanation:

Related Questions

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Data was collected for 300 fish from the North Atlantic. The length of the fish (in mm) is summarized in the GFDT below. Lengths (mm) Frequency 140 - 143 1 144 - 147 16 148 - 151 71 152 - 155 108 156 - 159 83 160 - 163 18 164 - 167 3 What is the class boundary between the sixth and seventh classes?
Can you help me please
Simplify the expression 7(1 +5v) =
(5/6 + 2/3) - (3/4 + 1/12)

Find the y-intercept and x-intercept of the line -x+2y=4

Answers

Answer:

The y-intercept and x-intercept of the line are 2 and -4 respectively.

Step-by-step explanation:

Given equation of line -x + 2y = 4

We have to find the y-intercept and x-intercept of the line.

Consider the given equation of line -x + 2y = 4

the y-intercept of line is the point where the line touches y axis and we know at y axis the coordinate of x is 0.

Thus, putting x = 0 in line equation , we get,

-(0) + 2y = 4

⇒ y = $(4)/(2)$

⇒ y = 2

the x-intercept of line is the point where the line touches x axis and we know at x axis the coordinate of y is 0.

-x + 2(0) = 4

⇒ x = - 4

Thus, the y-intercept and x-intercept of the line are 2 and -4 respectively.

Answer:

y-intercept is 2 and x-intercept is -4

Step-by-step explanation:

The first step is to re-write the equation of the line in slope-intercept form; $y=mx+c$ where m is the slope and c the y-intercept. In this case we have; $y=(1)/(2) x+2$ . To determine the y-intercept we set the x to be equal to zero; $y=(1)/(2)(0)+2=2$ and the y-intercept is thus 2. To determine the x-intercept we set y to be equal to zero and solve for x; $0=(1)/(2)x+2$ . Solving for x yields -4.

Mario has drawn a plan of his bedroom on 1 cm square paper. His en-suite shower cubicle measure. 1m x1m, give the scale of his drawing as ratio ___ : ___.What are the actual dimension of his bed ____ m x __ m

Answers

Mario has drawn a plan of his bedroom on 1 cm square paper. His en-suite shower cubicle measure. 1m x1m, give the scale of his drawing
as ratio _ 1 cm__ : __1m_.
What are the actual dimension of his bed __1__ m x _1_ m

Answer:

Step-by-step explanation:

1:50

2m:1.5m

One of the factors of quadratic is (x+5) the only other piece of information is that the middle term is zero what must the other factor be

Answers

Answer:

x-5

Step-by-step explanation:

The middle term has a coefficient that is the sum of the constants in the binomial factors. For that to be zero, the other binomial factor must be ...

(x -5)

(x +5)(x -5) = x^2 -25 . . . . . middle term is zero

The lines shown below are parallel. If the green line has a slope of -1/2, what is the slope of the red line? A.
2

B.
-

C.
-2

D.

Answers

Answer: B) -1/2

Explanation: Parallel lines have the same slopes, but different y intercepts.

Answer:

the slope of the red line is also -1/2

Step-by-step explanation:

A carpet company advertises that it will deliver your carpet within 15 days of purchase. A sample of 49 past customers is taken. The average delivery time in the sample was 16.2 days. Assume the population standard deviation is known to be 5.6 days. a. State the null and alternative hypotheses.
b. Using a critical value, test the null hypothesis at the 5% level of significance.
c. Using a p-value, test the hypothesis at the 5% level of significance.
d. What type of error may have been committed for this hypothesis test

Answers

Answer:

a) $H_0: \mu\leq15\n\nH_1: \mu>15$

b) The z-value (1.5) is smaller than z=1.645 (critical value), so it is in the "acceptance region". It failed to reject the null hypothesis.

c) The p-value (0.07) is greater than the significance level (0.05), so it failed to reject the null hypothesis.

d) In this case, the error we may hae comitted is a Type II error (failed to reject a null hypothesis that is false).

Step-by-step explanation:

We have to perfomr a hypothesis test on the mean, with known standard deviation of the population.

a) The null hypothesis is that the deliver time is 15 days or less.

The null and alternative hypothesis are then:

$H_0: \mu\leq15\n\nH_1: \mu>15$

The significance level is defined as 0.05.

b) The critical value of z for a one-side test (rigth side) and a significance level of 0.05 is z=1.645.

If the z-value for this sample is higher than 1.645, it is in the "rejection region".

Calculating the z-value:

$z=(M-\mu)/(\sigma/√(n))=(16.2-15)/(5.6/√(49))=(1.2)/(0.8)=1.5$

The z-value (1.5) is smaller than z=1.645 (critical value), so it is in the "acceptance region". It failed to reject the null hypothesis.

c) The p-value for z=1.5 is:

$P(z>1.5)=0.067$

The p-value (0.07) is greater than the significance level (0.05), so it failed to reject the null hypothesis.

d) There are two types of error:

Type I errors: happen when we reject a null hypothesis that is true.

Type II errors: happen when we failed to reject a null hypothesis that is false.

In this case, the error we may hae comitted is a Type II error.

The null hypothesis at 5% significance level is 1.50

Data;

n = 49
mean = 16.2
standard deviation = 5.6

Null and Alternative Hypothesis

The alternative hypothesis are

$H_-;\mu \leq 15 : H_1 : \mu > 15$

H_o = mean = 15

standard deviation = 5.6 days

using z-test,

n is greater than or equal to 30

Assuming standard deviation is known

$z = (x-\mu)/(\sigma - √(n) ) \nz = (16.2-15)/(5.6/√(49) )\nz = 1.50$

z-critical value is 1.96 at 95% confidence level.

Since z-critical value is greater than the test statistic, so we tail to subject H_o.

There's no evidence that mean delivery time is different from 15 days.

Learn more on hypothesis here;

brainly.com/question/15980493

Use the slope-intercept form to Graph y=-1/8x+2

Answers

Step-by-step explanation:

This is a straight line equation. We only need two points to draw a straight line.

Choose two different numbers, put them into the equation instead of x, and calculate the value of y.

$y=-(1)/(8)x+2$

for x = 8

$y=-(1)/(8)\cdot8+2=-(8)/(8)+2=-1+2=1$

(8, 1)

for x = -8

$y==-(1)/(8)\cdot(-8)+2=(8)/(8)+2=1+2=3$

(-8, 3)

Mark the points in the coordinate system and draw a straight line through the given points.

(look at the attachment)

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Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice cream per month. A random sample of 25 Americans was found to consume an average of 19 ounces of ice cream last month. The standard deviation for this sample was 5 ounces. Breyers would like to set LaTeX: \alpha = 0.025 α = 0.025 for the hypothesis test. It is known that LaTeX: z_{\alpha}=1.96 z α = 1.96 and LaTeX: t_{\alpha}=2.06 t α = 2.06 for the df = 24. Also, it is established that the ice cream consumption follows the normal distribution in the population. The conclusion for this hypothesis test would be

Use the distributive property to remove the parentheses.2x+(6x2-9)Simplify your answer as much as possible.