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Galina-37 [17]
4 years ago
8

What is the percent of 3,500 is 1,407?

Mathematics
1 answer:
Lapatulllka [165]4 years ago
3 0
The answer to the equation is 25%
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A sample of 64 was taken from a population, with the mean of the sample being 119 and the standard deviation of the sample being
Fofino [41]
We have the sample size, sample mean and the sample standard deviation. Since the population standard deviation is not know, we will use t-distribution to find the confidence interval.

The critical t value for 95% confidence interval and 63 degrees of freedom is 1.998.

The 95% confidence for the population mean will be:

(119-1.998 *\frac{16}{ \sqrt{64} } ,119+1.998 *\frac{16}{ \sqrt{64} }) \\  \\ 
=(115.004, 122.996) \\ \\=(115,123)

Thus, the 95% confidence interval for the population mean will be (115,123)

So, option A is the correct answer
6 0
3 years ago
I need help with this problem. Given: BC = 10 inches AC = √50 inches m∠CBD = 60° m∠CAD = 90° Calculate the exact area of the sha
Nikitich [7]

Answer:

Area of the shaded region = 23.33 in²

Step-by-step explanation:

Area of a sector = \frac{\theta}{360}(\pi r^{2})

Where θ = Central angle subtended by an arc

r = radius of the circle

Area of the sector BCD = \frac{60}{360}(\pi) (10^{2})

                                       = 52.36 in²

Area of equilateral triangle BCD = \frac{\sqrt{3} }{4}(\text{Side})^2

                                                      = \frac{\sqrt{3} }{4}(10)^2

                                                      = 25\sqrt{3} in²

                                                      = 43.30 in²

Area of the shaded portion in ΔBCD = 52.36 - 43.3

                                                             = 9.06 in²

Area of sector CAD = \frac{90}{360}(\pi)(\sqrt{50})^2

                                 = 39.27 in²

Area of right triangle CAD = \frac{1}{2}(\text{Base})(\text{Height})

                                            = \frac{1}{2}(\text{AC})(\text{AD})

                                            = \frac{1}{2}(\sqrt{50})(\sqrt{50})

                                            = 25 in²

Area of the shaded part in the ΔACD = 39.27 - 25

                                                                         = 14.27 in²

Area of the shaded part of the figure = 9.06 + 14.27

                                                                = 23.33 in²

8 0
3 years ago
Hot chocolate or Apple cider
Ganezh [65]

apple cider

blanket

job

cell phone

job

fun

pool party

birthday party

McDonald's

cook out

N/A

3 0
3 years ago
Is a 20% decrease followed by a 40% increase less than the original
Mama L [17]
No because it's negative 20 plus positive 40 So it's 20 percent more than the original
5 0
3 years ago
The coordinates of then vertical of parallelograms WXYZ are W(-2,3) , X(-1,0) , Y(5,2) and Z (4,5) the slope of
Anit [1.1K]

Answer:

The slope of WX and WY

Step-by-step explanation:

For us to have a rectangle, the angles at the edges equal 90

What this mean is that the width and the length are at 90 degrees

Hence, we can say that they are perpendicular to one another

Thus, we can calculate the slopes of both to drive home our point

Hence, by calculating the slopes of WX and WY, We can proof that we have a rectangle

6 0
3 years ago
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