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swat32
3 years ago
7

What is the slope of a line represented by the equation 2y = x – 4

Mathematics
1 answer:
wariber [46]3 years ago
6 0

Answer:

the Slope is \frac{x}{2}

Step-by-step explanation:

You might be interested in
Someone claims that the average amount of time that a freshman at TAMU studies is 7 hours. We think it’s higher than that and de
Stels [109]

Answer:

Test statistic t = 5.25

P-value = 0.000002 (one-tailed test)

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average amount of time that a freshman at TAMU studies is significantly higher than 7 hours.

Then, the null and alternative hypothesis are:

H_0: \mu=7\\\\H_a:\mu> 7

The significance level is 0.05.

The sample has a size n=49.

The sample mean is M=8.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=√s^2=√4=2.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{2}{\sqrt{49}}=0.29

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{8.5-7}{0.29}=\dfrac{1.5}{0.29}=5.25

The degrees of freedom for this sample size are:

df=n-1=49-1=48

This test is a right-tailed test, with 48 degrees of freedom and t=5.25, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t>5.25)=0.000002

As the P-value (0.000002) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average amount of time that a freshman at TAMU studies is significantly higher than 7 hours.

6 0
3 years ago
I need help with this!
Viefleur [7K]

Answer:

the answer is option E.

Step-by-step explanation:

it is in the form f/g (x).

we know f and g from the equation;

we can rewrite it as, (√(9-x^2)/(3x-1))

if you notice you cannot put any number less than -3 or greater than 3 in the numeror because if you do you get a negative root which is false. for instance if you put 4 or -4 in the numerator you get 9 - (4 or -4 square ) which is 9- 16 which is a negative number and you cannot take root of a negative number.

on the numerator if you put 1/3 as the value for x you will get zero in the denominator. and any number divided by zero is undefined so that cannot be.

this means that option E is the right one that satisfies the condition. it means the domain is [-3, 1/3) U (1/3, 3] .

4 0
2 years ago
Solve the equation for 3y-4=6-2y
Blababa [14]

the answer for 3y-4=6-2y is y=2

7 0
3 years ago
Read 2 more answers
9 + 5 x (-3) - (6-2) / 4
GenaCL600 [577]
P - Parentheses
E - Exponents
M - Multiplication ( Left to right )
D - Division ( Left to right )
A - Addition ( Left to right )
S - Subtraction ( Left to right )

PEMDAS


Final Answer : -7


Hope this helps! :)

6 0
3 years ago
Jayden has a collection of 800 baseball cards and his brother Dylan has a collection of baseball cards that is 1/10 as large. Ho
fiasKO [112]
Dylan has 80 cards. 800x.1=80. the .1 represents the 1/10 amount of jayden’s cards
7 0
3 years ago
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