All categories

3 years ago

Seven added to the product of 10 and k is less than or equal to 47

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

6 0

Answer:

7 + 10 + k - 47

Step-by-step explanation:

Is this the answer you looking for you said it can be less than or equal so i choose less than. :) make me brainliest pls!!

You might be interested in

Researchers are interested in the effect of a certain nutrient on the growth rate of plant seeding. Use a hydroponics grow proce

Rashid [163]

Answer:

The 95% confidence interval for the mean would be given by (56.604;68.596)

The 99% confidence interval for the mean would be given by (53.196;72.004)

Step-by-step explanation:

1) Previous concepts

When we compute a confidence interval for the mean, we are interested on the parameter population mean, and we use the info from the sample to estimate this parameter.

2) Basic operations

The sample mean can be calculated with the following formula

$\sum_{i=1}^n \frac{x_i}{n}$

Using excel we can use this function to calculate the mean:

=AVERAGE(54.2,59.8,61.8,63.3,65.1,71.4)

The value obtained is $\bar X=62.6$

In order to find the sample deviation we can use this formula

$s=\sqrt{\sum_{i=1}^n \frac{(x_i-\bar X)^2}{n-1}}$

And using excel we can use this function to calculate the sample standard deviation:

=STDEV.S(54.2,59.8,61.8,63.3,65.1,71.4)

The value obtained is $s=5.713$

The sample size for this case is n=6, n<30 so then is better use the t distribution to calculate the margin of error. First we need to calculate the degrees of freedom, on this case $df=n-1=6-1=5$

The formula for the confidence interval would be given by:

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

3) Part a

If we want a 95% or 0.95 of confidence, then the value for the signficance is $\alpha=1-0.95=0.05$ , and $\alpha/2=0.025$ , and $1-\frac{\alpha}{2}=0.975$ so we can find the critical t value with the following formula in excel:

=T.INV(0.975,5)

And we got $t_{\alpha/2}= 2.571$

And we can replace into equation (1) and we got:

$62.6 \pm 2.571\frac{5.713}{\sqrt{6}}$

And using excel with the following formulas we got:

=62.6-2.571*(5.713/SQRT(6)) = 56.604

=62.6+2.571*(5.713/SQRT(6)) = 68.596

So the 95% confidence interval for the mean would be given by (56.604;68.596)

4) Part b

If we want a 99% or 0.99 of confidence, then the value for the signficance is $\alpha=1-0.99=0.01$ , and $\alpha/2=0.005$ , and $1-\frac{\alpha}{2}=0.995$ so we can find the critical t value with the following formula in excel:

=T.INV(0.995,5)

And we got $t_{\alpha/2}= 4.032$

And we can replace into equation (1) and we got:

$62.6 \pm 4.032\frac{5.713}{\sqrt{6}}$

And using excel with the following formulas we got:

=62.6-4.032*(5.713/SQRT(6)) = 53.196

=62.6+4.032*(5.713/SQRT(6)) = 72.004

So the 99% confidence interval for the mean would be given by (53.196;72.004)

8 0

3 years ago

Write an equation for a circle with a diameter that has endpoints at (7, –4) and (1, –10). Round to the nearest tenth if necessa

Black_prince [1.1K]

The standard form for the equation of a circle is :

(x−h)^2+(y−k)^2=r2 ----------- EQ(1)
where handk are the x and y coordinates of the center of the circle and r is the radius.
The center of the circle is the midpoint of the diameter.

So the midpoint of the diameter with endpoints at (7,-4)and(1,-10) is :

((7+(1))/2,(-4+(-10))/2)=(4,-7)

So the point (4,-7) is the center of the circle.

Now, use the distance formula to find the radius of the circle:

r^2=(7−(4))^2+(-4−(-7))^2=9+9=18

⇒r=√18

Subtituting h=4, k=-7 and r=√18 into EQ(1) gives :

(x-4)^2+(y+7)^2=18

7 0

3 years ago

Bradley has ordered a steak from the meat market that weighs 1 5/8 pounds. There is a bone in the steak that weighs 7/8 of a pou

KonstantinChe [14]

Answer:

3/4

Step-by-step explanation:

the bone and the steak weigh = 1 5/8 pounds

The bone weighs 7/8

The meat weighs = 15/8 - 7/8

Converting 1 5/8 to an improper fraction gives 13/8

13/8 - 7/8 = 6/8 = 3/4

6 0

3 years ago

Giving brainily to correct answer!!!!

babymother [125]

A= 1/2 b x h

A = 1/2 8 x 9

A = 1/2 (72)

A= 36

Answer is 32 square cm

(32cm²)

Hope this helped,

Jon

7 0

3 years ago

Read 2 more answers

17/26 in simplest form

zzz [600]

since 17 is a prime number and 26 is not a multiple of 17

17/26 is in simplest form

8 0

3 years ago

Read 2 more answers