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2 years ago

Through: (6, 2), perpendicular to y = -x-5 in slope intercept form

Mathematics

1 answer:

True [87]2 years ago

6 0

Answer:

y = x-4

Step-by-step explanation:

y = -x-5

Slope of line is -1.

Slope of perpendicular to line is 1.

Point-slope equation for line of slope 1 that passes through (6,2):

y-2 = 1(x-6)

Rearrange equation to slope-intercept form:

y = 1(x-6) + 2

y = x-4

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According to the website www.collegedrinkingprevention.gov, "About 25 percent of college students report academic consequences o

astraxan [27]

Answer:

The required confidence interval is (3.068,4.732)

Step-by-step explanation:

Consider the provided information.

He plans to use a 90% confidence interval. He surveys a random sample of 50 students. The sample mean is 3.90 alcoholic drinks per week. The sample standard deviation is 3.51 drinks and wants to construct 90% confidence interval.

Thus, n=50, $\bar x$ =3.90 σ=3.51

Now find degree of freedom.

$df=n-1\\df=50-1=49$

The confidence level is 90% and df=49

Therefore,

$\frac{\alpha}{2} =\frac{1-0.90}{2}$

$\frac{\alpha}{2} =0.05$

Now by using t distribution table look at 49 df and alpha level on 0.05.

$t_{\frac{\alpha}{2}} = 1.67653$

Calculate SE as shown:

$SE=\frac{\sigma}{\sqrt{50} }$

$SE=\frac{3.51}{\sqrt{50}}=0.4964$

Now multiply 1.67653 with 0.4964

Therefore, the marginal error is: 1.67653 × 0.4964≈ 0.832

Now add and subtract this value in given mean to find the confidence interval.

$\bar x-E$

Hence, the required confidence interval is (3.068,4.732)

4 0

3 years ago

Some triangles can have more than one obtuse angle. True or false?

Reptile [31]

False. A triangle can't have more than one obtuse angle.

7 0

3 years ago

Help PLEASE!!! Find X for the triangle.

aleksklad [387]

Answer:

Step-by-step explanation:

$Hypotenuse = 8\sqrt{2} \\Adjacent =x\\\alpha =45\\\\Using\: SOHCAHTOA\\Cos \alpha = \frac{Adjacent}{Hypotenuse}\\\\Cos 45 = \frac{x}{8\sqrt{2} } \\\frac{\sqrt{2} }{2} =\frac{x}{8\sqrt{2} }\\ \\Cross \: Multiply\\2x =16\\\frac{2x}{2} =\frac{16}{2} \\\\x =8$

8 0

2 years ago

Karl is making a pot of chili. The recipe calls for 3/8 cup of chili powder, but Karl only wants to use half as much so it won’t

tresset_1 [31]

Answer:

KArl should use 3/16 cups of chili powder

Step-by-step explanation:

Given that:

Recipe's requirement : 3/8 cups

Karl wants to use half : 1/2

The given question involves fractions. When the number of cups has to be divided into half, it will be multiplied with 1/2.

So,

Multiplying the chili powder requirement of the recipe to 1/2

$=\frac{3}{8} * \frac{1}{2}\\= \frac{3}{16}$

Hence,

KArl should use 3/16 cups of chili powder

4 0

3 years ago

Read 2 more answers

What is the solution to the system that is created by the equation y=-x+6 and the graph shown below?

mina [271]

The graph graphed is y=1/2x

so
y=1/2x and y=-x+6
y=y so
1/2x=-x+6
times 2 both sides
x=-2x+12
add 2x both sides
3x=12
x=4

sub back
y=1/2x
y=1/2(4)
y=2

(4,2) is the solution

3 0

3 years ago

Read 2 more answers