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3 years ago

Write the slope-intercept form of the equation of each line given the slope and y-intercept slope= - 1/2 y-intercept= -3

Mathematics

1 answer:

xeze [42]3 years ago

3 0

The slope-intercept form is y=-1/2x-3.

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5. Write an equivalent ratio to 18:1?

Molodets [167]

Answer:

36:2

Step-by-step explanation:

we can just multiply both numbers by 2, to get 36:2

7 0

3 years ago

Read 2 more answers

In the diagram below, TUVW is a rectangle. Prove triangle TZW is congruent to triangle UZV.

otez555 [7]

Answer:

By S.S.S. congruence property; ΔTZW ≅ ΔVZU

Step-by-step explanation:

Given:

TUVW is a rectangle.

To Prove : TZW ≅ UZV

Proof:

Since TUVW is a rectangle, and we know that opposite side of a rectangle is equal.

So,

$TW = UV \ \ .\ .\ .\ .\ 1$

And also TV and WU are the diagonals of the rectangle.

And the diagonals of rectangle bisects each other.

Therefore;

$TZ=ZV.........\ 2\\\\WZ=ZU..........\ 3$

Now In ΔTZW and ΔVZU

TW = UV (from 1)

TZ = ZV (from 2)

WZ = ZU (from 3)

So, by S.S.S. congruence property;

ΔTZW ≅ ΔVZU

Hence proved.

8 0

4 years ago

The stock of Company A lost $4.17 throughout the day and ended at a value of

Anit [1.1K]

Answer:

Step-by-step explanation:

After losing 4.17, it came down to 100.08, so the opening price was:

100.08 + 4.17 = 104.25

To find percentage decline, we find the ratio of the "change" (which is 4.17) divided by the opening (original) price, which is 104.25. Then we multiply that fraction by 100 to get our percentage decline.

So,

$\frac{4.17}{104.25}*100=4$

Thus, the

percentage decline = 4%

4 0

3 years ago

g Two teams compete in the NBA (National Basketball Associa- tion) championshipseries. The team who wins four games out of seven

Firlakuza [10]

Answer: The required probability is 0.32.

Step-by-step explanation:

Since we have given that

Probability of winning team A over B = 0.7

Probability of losing team A over B = 0.3

Number of matches = 7"

So, using the "Binomial distribution" :

We get that

$P(X=5)=^7C_5(0.7)^5(0.3)^2=0.32$

Hence, the required probability is 0.32.

4 0

3 years ago

The following scatterplot shows the percentage of the vote a candidate received in the 2016 senatorial elections

neonofarm [45]

The critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881

<h3>How to determine the critical values corresponding to a 0.01 significance level?</h3>

The scatter plot of the election is added as an attachment

From the scatter plot, we have the following highlights

Number of paired observations, n = 8
Significance level = 0.01

Start by calculating the degrees of freedom (df) using

df =n - 2

Substitute the known values in the above equation

df = 8 - 2

Evaluate the difference

df = 6

Using the critical value table;

At a degree of freedom of 6 and significance level of 0.01, the critical value is

z = 0.834

From the list of given options, 0.834 is between -0.881 and 0.881

Hence, the critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881