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Andre45 [30]
2 years ago
11

I need help for this question.

Mathematics
1 answer:
sattari [20]2 years ago
4 0

Answer:

B

Step-by-step explanation:

The figure is a trapezium with area (A) calculated as

A = \frac{1}{2} h (a + b)

where h is the perpendicular height and a, b the parallel bases

Here h = 8, a = 10 and b = 6, thus

A = \frac{1}{2} × 8 × (10 + 6) = 4 × 16 = 64 cm² → B

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A random sample of 10 parking meters in a beach community showed the following incomes for a day. Assume the incomes are normall
Vlad1618 [11]

Answer: (2.54,6.86)

Step-by-step explanation:

Given : A random sample of 10 parking meters in a beach community showed the following incomes for a day.

We assume the incomes are normally distributed.

Mean income : \mu=\dfrac{\sum^{10}_{i=1}x_i}{n}=\dfrac{47}{10}=4.7

Standard deviation : \sigma=\sqrt{\dfrac{\sum^{10}_{i=1}{(x_i-\mu)^2}}{n}}

=\sqrt{\dfrac{(1.1)^2+(0.2)^2+(1.9)^2+(1.6)^2+(2.1)^2+(0.5)^2+(2.05)^2+(0.45)^2+(3.3)^2+(1.7)^2}{10}}

=\dfrac{30.265}{10}=3.0265

The confidence interval for the population mean (for sample size <30) is given by :-

\mu\ \pm t_{n-1, \alpha/2}\times\dfrac{\sigma}{\sqrt{n}}

Given significance level : \alpha=1-0.95=0.05

Critical value : t_{n-1,\alpha/2}=t_{9,0.025}=2.262

We assume that the population is normally distributed.

Now, the 95% confidence interval for the true mean will be :-

4.7\ \pm\ 2.262\times\dfrac{3.0265}{\sqrt{10}} \\\\\approx4.7\pm2.16=(4.7-2.16\ ,\ 4.7+2.16)=(2.54,\ 6.86)

Hence, 95% confidence interval for the true mean= (2.54,6.86)

7 0
3 years ago
What is 0.83 in fraction form?
levacccp [35]
83/100 is 0.83 in fraction form 
8 0
3 years ago
Read 2 more answers
Help plz I NEED IT Help help hjelp
DaniilM [7]

Answer:

12

Step-by-step explanation:

12 because that's how many dots/vertices are shown(sorry if im wrong)

6 0
2 years ago
Read 2 more answers
Help please !! easy question i believe :))
kolezko [41]
Solve for x given two sides

Solution

x is an angle hence we are gonna use the formula Sin

Sin 0 = opp/hyp

0 represents theta.


Sin 0 = opp/hyp
Sin 0 = 27/33

Put 27/33 in decimal form

= 0.8181

Transpose to make 0 the subject


Sin 0 = 0.8181

0 = Sin-1 0.8181

When adding Sin from one side to another it becomes Sin inverse.

0 = Sin-1 08181

Now we find the answer

0 = Sin-1 0.8181

= 54.89 degrees

Therefore x is equal to 54.9 to the nearest tenth.
6 0
2 years ago
Marley is a waitress. On Thursday, she earned $4.60 per hour plus $50.25 in tips. How many hours did she work that day if she ea
AleksandrR [38]

Subtract tips from total:

87.05 - 50.25 = 36.80

Divide the remainder by 4.60:

36.80 / 4.60 = 8

She worked 8 hours.

7 0
2 years ago
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