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Delvig [45]
2 years ago
14

Mabel needs to order 8,742 binder clips for an upcoming conference. If the binder clips come in boxes of 47, how many boxes shou

ld Mabel order?
Mathematics
1 answer:
ryzh [129]2 years ago
3 0
186 boxes. One hundred
You might be interested in
You are interested in estimating the the mean weight of the local adult population of female white-tailed deer (doe). From past
alisha [4.7K]

Answer:

n=(\frac{2.33(19)}{7})^2 =39.996 \approx 40

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean  

\mu population mean

\sigma=19 represent the assumed population standard deviation

n represent the sample size (variable of interest)  

Confidence =0.98 or 98%

Me=0.07 represent the margin of error for this case

Solution to the problem

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}  (1)  

And on this case we have that ME =7 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (2)

The critical value for 98% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.01,0,1)", and we got z_{\alpha/2}=2.33, replacing into formula (2) we got:

n=(\frac{2.33(19)}{7})^2 =39.996 \approx 40

So the answer for this case would be n=40 rounded up to the nearest integer

6 0
2 years ago
ABC with verticles A(1,2) B(3,1) C(3,4) translated 2 units left and 1 unit up
GenaCL600 [577]
A' : -1, 3
B':  1, 2
C': 1, 5
3 0
3 years ago
Piper can run 3 laps in 8 minutes. Walker can run 10 laps in 25 minutes. Sophie can run 1 lap in 3 minutes. Who is the slowest r
Elanso [62]

Answer:

Sophie

Step-by-step explanation:

For each runner, divide their time running by the laps they ran.

Piper: 8÷3≈2.7

Walker: 25÷10=2.5

Sophie: 3÷1=3

Sophie takes the longest time to run one lap, she is the slowest.

8 0
3 years ago
Read 2 more answers
The point (3,-7) lies on a circle and the center of the circle is at (-2,-7). What is the equation of this circle
melomori [17]

Step-by-step explanation:

the answer is in the above image

4 0
3 years ago
estaba previsto destinar 3/14 de partes de una finca a plazas de aparcamiento pero finalmente han destinado 3/4 de lo previsto a
JulsSmile [24]

Queremos ver que fracción de la finca se ha destinado a plazas de aparcamiento.

La solución es:

La fracción de la finca que se destina a plaas de aparcamiento es 3/56

Sabemos que originalmente se iba a destinar 3/14 del total de la finca a plazas de aparcamiento, pero finalmente se destino 3/4 de lo previsto a zonas ajardinadas.

Es decir, <u>se destino 3/4 de los 3/14 del total de la finca</u> a zonas ajardinadas, entonces <u>el 1/4 restante se dedico a plazas de aparcamiento</u>, esto da:

(1/4)*3/14  = 3/56

La fracción de la finca que se destina a plaas de aparcamiento es 3/56

Sí quieres aprender más, puedes leer:

brainly.com/question/16649102

8 0
2 years ago
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