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2 years ago

Graph a line that contains the point (−6,1) and has a slope of 5

Mathematics

1 answer:

Alexus [3.1K]2 years ago

4 0

Answer:

y=5x+31

Plot points at: (-4,11), (-6,1), (-3, 16)

Step-by-step explanation:

y-1=5(x+6)

y-1=5x+30

y=5x+31

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Could someone check this again

ANTONII [103]

Answer:

yeah your right

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A data set includes 103 body temperatures of healthy adult humans having a mean of 98.9degreesf and a standard deviation of 0.67

trasher [3.6K]

Answer:

Step-by-step explanation:

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation = 0.67

n = number of samples = 103

From the information given, the population standard deviation is unknown hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 103 - 1 = 102

Since confidence level = 99% = 0.99, α = 1 - CL = 1 – 0.99 = 0.01

α/2 = 0.01/2 = 0.005

the area to the right of z0.005 is 0.005 and the area to the left of z0.005 is 1 - 0.005 = 0.995

Looking at the t distribution table,

z = 2.6249

Margin of error = 2.6249 × 0.67/√103

= 0.173

Confidence interval = 98.6 ± 0.173

This suggests that the mean body temperature could very possibly be

98.6degrees°F.

3 0

3 years ago

Jeremy lost his dog, and wants to make some signs to put up in the neighborhood. The cost to make 8 paper signs and 2 laminated

Mashcka [7]

Answer:

cost to make paper signs = $1

cost to make laminated signs = $2

Step-by-step explanation:

Let

x = cost to make paper signs

y = cost to make laminated signs

8x + 2y = 12 (1)

10x + 10y = 30 (2)

Multiply (1) by 5

40x + 10y = 60 (3)

10x + 10y = 30 (2)

Subtract (2) from (3) to solve for x

40x - 10x = 60 - 30

30x = 30

x = 30/30

x = $1

Substitute x = 1 into (1)

8x + 2y = 12

8(1) + 2y = 12

8 + 2y = 12

2y = 12 - 8

2y = 4

y = 4/2

y = $2

cost to make paper signs = $1

cost to make laminated signs = $2

5 0

3 years ago

Helen bought notebooks and pencils for school. The number of pencils she bought is given by 6(n-3) , where n is the number of no

pychu [463]

So the number of pencils bought can be represented by an equation: $P=6(n-3)$ , where n is the number of notebooks bought. Since Helen bought 5 notebooks, simply plug 5 into n: $P=6(5-3)=6(2)=12$ . So Helen bought 12 pencils.

3 0

3 years ago

What is 2 1/4 ÷ 1/2=

marshall27 [118]

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

$2\frac{1}{4}$ ÷ $\frac{1}{2}$ = $\frac{9}{4}$ ÷ $\frac{1}{2}$

Now use K C F method

K - Keep the first fraction

C - Change the division operation to multiplication

F- Flip the second number

$= \frac{9}{4} *\frac{2}{1}\\\\= \frac{9}{2}*1\\\\= \frac{9}{2}\\\\= 4 \frac{1}{2}$

4 0

2 years ago