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3 years ago

What is the interval notation for y<5?

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

7 0

Hey there!☺

$Answer:$ (-∞, 5)

$Explanation:$

You need to convert the inequality as an interval notation.

$y$ as interval notation would be written like this:

(-∞, 5)

Hope this helps!

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Write an equation in slope-intercept form for the line that has the given slope and contains the point. Please show some work.(

zavuch27 [327]

Answer:

An equation in the slope-intercept form will be:

$y=\frac{-1}{2}x+0$

Step-by-step explanation:

Given the points

(4,-2)

(2,-1)

Finding the slope between points

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(4,\:-2\right),\:\left(x_2,\:y_2\right)=\left(2,\:-1\right)$

$m=\frac{-1-\left(-2\right)}{2-4}$

$m=-\frac{1}{2}$

We know that the slope-intercept form of the line equation is

$y=mx+b$

where m is the slope and b is the y-intercept.

substituting the values m=-1/2 and the point (4, -2) to determine the y-intercept i.e. 'b'.

$y=mx+b$

$-2=\frac{-1}{2}\left(4\right)+b$

$-2+b=-2$

$b=0$

substituting the values m=-1/2 and b=0 to determine the line equation in slope-intercept form

$y=mx+b$

$y=\frac{-1}{2}x+0$

Thus, an equation in the slope-intercept form will be:

$y=\frac{-1}{2}x+0$

8 0

3 years ago

\Grace is 1.65 meters tall. At 3 p.m., she measures the length of a tree's shadow to be 25.35 meters. She stands 20.9 meters awa

Anika [276]

Grace's height and the tree's height are related by equivalent ratios

The height of the tree is 2.00 meters

Grace's height is given as:

$\mathbf{h = 1.65}$

When she measured the length of the tree's shadow, we have:

$\mathbf{l = 20.9m}$ --- the length of her shadow

$\mathbf{L = 25.35m}$ --- the length of the tree's shadow

The height (H) of the tree is calculated using the following equivalent ratio

$\mathbf{h:H = l:L}$

Substitute known values

$\mathbf{1.65:H = 20.9:25.35}$

Express as fractions

$\mathbf{\frac H{1.65} =\frac{25.35}{20.9}}$

Multiply both sides by 1.65

$\mathbf{H=\frac{25.35}{20.9} \times 1.65}$

Simplify

$\mathbf{H=2.00}$

Hence, the approximated height of the tree is 2.00 meters

Read more about equivalent ratios at:

brainly.com/question/13513438

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3 years ago

Help i don’t understand,

irina [24]

Answer:

If it is Area, the answer is:

A=6 (2x+1)

If it is Perimeter it is:

P= 3x+ 13

5 0

3 years ago

A quick way to convert from Fahrenheit temperature to Celsius temperature is to subtract 30,then divide by 2.Use this method to

Gnoma [55]

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3 years ago

In a large population, about 10% of people do not like the taste of cilantro, an herb used in cooking. A researcher takes a rand

bogdanovich [222]

Answer:

0.0019390

Step-by-step explanation:

10% of people do not like the taste of cilantro

A researcher takes a random sample of 15 people and surveys whether they like cilantro

Use the binomial distribution to compute the probability that exactly 6 of the people in the sample do not like cilantro.

Probability of success = 0.10 = p

Probability of failure = 0.9 =q

n = 15

r = 6

Formula : $P(X=r)=^nC_rp^r q^{n-r}$

$P(X=6)=^{15}C_6 (0.1)^6 (0.9)^{15-6}$

$P(X=6)=\frac{15!}{6!(15-6)!} (0.1)^6 (0.9)^{15-6}$

$P(X=6)=0.0019390$

Hence the probability that exactly 6 of the people in the sample do not like cilantro is 0.0019390

3 0

3 years ago