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3 years ago

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Lisa collected leaves from different trees for a science project. Every day for a week (7 days), she collected 7 leaves. How man

y leaves did she collect by the end of the week? 14

2 answers:

mihalych1998 [28]3 years ago

5 0

Answer:

49 leaves

Step-by-step explanation:

Given: Lisa collected 7 leaves each day and everyday for a week (7 days).

To find: The number of leaves collected by the end of the week.

Solution:

Total number of leaves collected in a day is 7.

Since there are 7 days in a week.

The leaves are collected for 7 days.

So, in order to find the total number of leaves collected we need to multiply 7 by 7.

the number of leaves collected by the end of the week $= 7 \times 7 = 49$

Therefore, she collected 49 leaves by the end of the week.

Veseljchak [2.6K]3 years ago

4 0

7x7 she have 49 leaves by the weekend :-P

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If n = 5 and r = 3 Find "Cr.

Marat540 [252]

Answer:

Cr = 10

Step-by-step explanation:

To calculate combinations we use the nCr formula: nCr = n! / r! * (n - r)!, where n = number of items, and r = number of items being chosen at a time.

$C(n,r)=[?]$

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Rzqust [24]

Answer:

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Step-by-step explanation:

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2 years ago

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3 years ago

-2x + 3y =-9<br> X+y = 2

geniusboy [140]

Answer:

The values of x and y to the given equation are x=3 and y=-1

The solution to the given equation is (3,-1)

Step-by-step explanation:

Given equations are $-2x+3y=-9\hfill (1)$

$x+y=2\hfill (2)$

To solve given equations by using elimination method :

Mutliply the equation (2) into 2 we get

$2x+2y=4\hfill (3)$

Now adding the equations (1) and (3)

$-2x+3y=-9$

$2x+2y=4$

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$y-\frac{5}{5}$

Therefore y=-1

Now substitute the value of y=-1 in the equation (1) we get

-2x+3(-1)=-9

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3 years ago

You have measured the systolic blood pressure of a random sample of 25 employees of a company located near you. A 95% confidence

Alla [95]

Answer:

$122 \leq \mu \leq 138$

The 95% confidence interval would be given by (122;138)

And the correct interpretation for this case is:

c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

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 % where by 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".

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=25-1=24$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that $t_{\alpha/2}=2.06$

Now we have everything in order to replace into formula (1), for this case we got:

$122 \leq \mu \leq 138$

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And the correct interpretation for this case is:

c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

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