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3 years ago

Name the slope of the equation y= 2/3x + 1

Mathematics

2 answers:

natulia [17]3 years ago

6 0

Answer: y = mx+b
Slope: 2/3.

umka21 [38]3 years ago

3 0

Answer:

Step-by-step explanation:

y=mx+b where m is the slope of the line so the slope of this line is 2/3

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The equation 4x – 45 = y is used to find your profit, y, in dollars from buying $45 of supplies and washing cars for $4 each. Wh

Mariulka [41]

The X stands for ‘amount of cars washed’
If you was to wash 100 cars the equation would be

4 x 100 = 400
400-45= 355
Profit = $355

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2 years ago

Find the circumference of the taxicab circle with a radius of 9.

AnnZ [28]

C=2πr=2(9)π=18π......
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3 years ago

Data were collected over a 10-year timespan from a sample of penguins that were randomly given either metal or electronic tags.

taurus [48]

Question:

Data were collected over a 10-year timespan from a sample of 100 penguins that were randomly given either metal or electronic tags. One variable examined is the length of foraging trips. Longer foraging trips can jeopardize both breeding success and survival of chicks waiting for food. Mean length of 344 foraging trips was 12.70 days for metal-tagged penguins. Mean length of 512 foraging trips was 11.60 days for electronic-tagged penguins. An estimate of the standard error for this difference of means is SE=0.283.

a) We will address the question of whether foraging trips are longer on average among metal-tagged penguins than among electronic-tagged penguins. State hypotheses in terms of two means.

b. Calculate the sample statistic xM - xE

c. Calculate a t-test statistic, using the given estimate of SE.

d. What are the correct (conservative) degrees of freedom for a t-distribution for this test?

e. Use t-distribution methods to find the p-value and draw a rough curve with appropriate shaded region. You may give either a precise p-value from software or bounds on a p-value from Table A.

f. State the conclusion of the test in context, using nontechnical language.

Answer:

See explanation below

Step-by-step explanation:

a) The null and alternative hypotheses are:

H0 : uM - uE = 0

H1 : uM - uE > 0

b) Calculating the sample statistic,

xM-xE, we have:

Given xM = 12.70 days

xE = 11.60 days

xM - xE = 12.70 - 11.60 = 1.10 days

Therefore sample statistic = 1.10

c) Calculating the test statistic, using the given estimate of SE, we have:

Given standard error, SE = 0.283

$\frac{xM - xE}{SE} = \frac{12.70 - 11.60}{0.283} = 3.89$

Therefore, t test = 3.89

d) The correct degrees of freedom.

We have:

$Min(n_M-1, n_E-1 ) = Min(344-1, 512-1) = Min(343, 511)$

df = 343

e) p-value:

Pvalue = P(Z > 3.89) = 0.00000602

Since p value is less than significance level of 0.05, we reject null hypothesis H0.

f) Conclusion:

There is enough evidence to conclude that foraging trips are longer on average among metal-tagged penguins than among electronic-tagged penguins.

7 0

3 years ago

In rectangle FGHI, diagonals FH and GI intersect at E. G F E H I • IE = 3x + 4 • EG = 5x - 6 What is the length of FH ?

timurjin [86]

Answer:

FH = 38

Step-by-step explanation:

Here, given the point of intersection of the two diagonals at E, we want to calculate the length of FH

The point of intersection of the diagonals is the midpoint of each as the diagonals bisect each other

thus,

3x + 4 = 5x - 6

5x-3x = 6+ 4

2x = 10

x= 10/2

x = 5

but Eg is 5x-6

and FH = 2EG

FH = 2(5x-6)

FH = 10x - 12

Substitute x = 5

FH = 10(5) -12

FH = 50-12

FH = 38

3 0

3 years ago

There is a bag filled with 4 blue and 5 red marbles. A marble is taken at random from the bag, the colour is noted and then it i

DIA [1.3K]

Answer:

16.67% probability of getting 2 blues

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the marbles are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

What is the probability of getting 2 blues?

Desired outcomes:

Two blue marbles, from a set of 4.

$D = C_{4,2} = \frac{4!}{2!(4-2)!} = 6$

Total outcomes:

Two marbles, from a set of 9.

$T = C_{9,2} = \frac{9!}{2!(9-2)!} = 36$

Probability:

$p = \frac{D}{T} = \frac{6}{36} = 0.1667$

16.67% probability of getting 2 blues

6 0

3 years ago