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3 years ago

S = ut + 1/2 at^2 u = 10 a= -2 t= 1/2 work out the value of s . s =

Mathematics

1 answer:

frez [133]3 years ago

6 0

Answer:

when it is a=ut+½a(t)²

s=(10×½)+½(-2×½²)

s=5+(-1×¼)

s=5-¼

s=4.25

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For a circle with a radius of 6 feet, what is the measurement of the central angle (in degrees) that intercepts an arc with a le

makkiz [27]

Answer:

135 degrees

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

$C=2\pi r$

we have

$r=6\ ft$

substitute

$C=2\pi (6)$

$C=12\pi\ ft$

step 2

Remember that the circumference of the circle subtends a central angle of 360 degrees

using proportion

Find out the measurement of the central angle (in degrees) that intercepts an arc with a length of 9π/2 ft

$\frac{12\pi}{360^o}=\frac{(9\pi/2)}{x}\\\\x=360(9\pi/2)/12\pi\\\\x=135^o$

3 0

3 years ago

A study was recently conducted to estimate the mean cholesterol for adult males over the age of 55 years. From a random sample o

Komok [63]

Answer: Correct critical value = 2.2622

Step-by-step explanation:

Confidence interval for population mean when population standard deviation is unknown:

$\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}$ , where $\overline{x}$ = sample mean, n= sample size, s= sample standard deviation, $t_{\alpha/2}$ = two-tailed t value.

As per given: n= 10

degree of freedom : df = n-1=9

$\overline{x}=242.6\\\\s=73.33\\\\\alpha=5\%=0.05$

Critical t-value : $t_{\alpha/2,df}=t_{0.05/2,9}=t_{0.025,9}=2.2622$

So, the 95 percent confidence interval estimate for the mean :

$242.6\pm (2.2622)\dfrac{73.33}{\sqrt{10}}\\\\=242.6\pm (2.2622)(23.19)\\\\\approx242.6\pm52.46\\\\=(242.6-52.46,\ 242.6+52.46)\\\\=(190.14,\ 295.06)$