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3 years ago

For a circle of radius 4 with center (-4, 3). in general form

2 answers:

5 0

I'm going to assume that you're asking for the equation of that circle.
It's

(x + 4)² + (y - 3)² = 16

stich3 [128]3 years ago

5 0

Reduced Equation:

$(x-x_o)^2+(y-y_o)=r^2\\
\\
(x+4)^2+(y-3)^2=16\\
\\
x^2+8x+16+y^2-6y+9-16=0\\
\\
\boxed{x^2+y^2+8x-6y+9=0}$

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The heights of women aged 20 to 29 are approximately Normal with mean 61 inches and standard deviation 2.5 inches. Men the same

Tcecarenko [31]

The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.

5 0

2 years ago

Read 2 more answers

A 4-inch long ribbon is cut into pieces. If the length of each piece is 12of an inch, how many pieces are cut?

vekshin1

Answer:

48 pieces are cut.

Step-by-step explanation:

1/12 of an inch means that one inch would be 12 pieces. Since there are 4 pieces it would be 12x4= 48 pieces.

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3 years ago

To save money, a local charity organization wants to target its mailing requests for donations to individuals who are most suppo

mars1129 [50]

Answer:

The 80% confidence interval for difference between two means is (0.85, 1.55).

Step-by-step explanation:

The (1 - α) % confidence interval for difference between two means is:

$CI=(\bar x_{1}-\bar x_{2})\pm t_{\alpha/2,(n_{1}+n_{2}-2)}\times SE_{\bar x_{1}-\bar x_{2}}$

Given:

$\bar x_{1}=M_{1}=6.1\\\bar x_{2}=M_{2}=4.9\\SE_{\bar x_{1}-\bar x_{2}}=0.25$

Confidence level = 80%

$t_{\alpha/2, (n_{1}+n_{2}-2)}=t_{0.20/2, (5+5-2)}=t_{0.10,8}=1.397$

*Use a t-table for the critical value.

Compute the 80% confidence interval for difference between two means as follows:

$CI=(6.1-4.9)\pm 1.397\times 0.25\\=1.2\pm 0.34925\\=(0.85075, 1.54925)\\\approx(0.85, 1.55)$

Thus, the 80% confidence interval for difference between two means is (0.85, 1.55).

3 0

2 years ago

Ken wants to buy some coffee mugs, m , that cost $5 each and some ground coffee, C, that costs $8 a pound. He has $25.

ValentinkaMS [17]

The inequality representation of the scenario is :

5m + 8c ≤ 25
m = 1 and c = 1

Number of mugs = m
Cost per mug = $5
Number of ground coffee = c
Cost per ground coffee = $8
Total amount to spend = $25

(Number of mug × cost per mug) + (Number of ground coffee × cost of ground coffee) ≤total amount to spend

Representing as an inequality : 5m + 8c ≤ 25

Combination of m and c that makes the inequality true :

Using trial by error :
m = 1 and c = 1
5(1) + 8(1) ≤ 25 ; 13 ≤ 25

Hence, m = 1 and c =1 are valid values for the expression.

Learn more : brainly.com/question/15748955

3 0

2 years ago

Choose the correct definition of volume.

siniylev [52]

Answer:

the amount of space a 3-dimensional object takes up

Step-by-step explanation:

Of the four definition options, the first is the only only that incorporates a three dimension explanation. The others only describe a two dimension object. Units for the first would be unit^3. The other three would only be one-dimensional "units."

8 0

2 years ago