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My name is Ann [436]
3 years ago
10

Question 8 of 14

Mathematics
2 answers:
diamong [38]3 years ago
7 0

Answer:

144.

Step-by-step explanation:

Sum of n terms = (n/2)[a1 + l]    where a1 = first and l = last term.

There are ( 1 + 23) / 2 = 12 terms in this series.

So  the sum = (12/2) [ 1 + 23]

= 6 * 24

= 144.

Oxana [17]3 years ago
3 0

Answer:

276 is correct

You might be interested in
Would someone please help me?!
ella [17]
So
bowl is a half sphere
cylinder is a cylninder
cone is cone

bowl:
area of circle=4/3 pi times r^3
half bowl=4/3 times 1/2 times pi times r^3=2/3pi r^3

cylinder=height times pi times radius^2
this cylinder=r times pi times r^2=pi times r^3


cone=1/3 times height times pi times radius^2
thgis cone=1/3 times r tiimes pi times r^2=1/3 times pi times r^3

compare
bowl=2/3 pi r^3
cylinder=pi r^3
cone=1/3 pi r^3
the cylinder is biggest
CYLINDER IS THE ANSWER




2.
sphwere=4/3 times radius^3 times pi
this sphere=4/3 times pi times r^3

cylinder=height times radius^2 time pi
this cylinder=2r times r^2 times pi=2r^3 times pi

cone=1/3 times height time r^2 times pi
this cone=1/3 times 2r times r^2 times pi=1/3 times 2r^3 times pi=2/3 times r^3 times pi

sphere:4/3 pi r^3
cylinder: 2 pi r^3
cone: 2/3 pi r^3
7 0
3 years ago
Read 2 more answers
A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that
aliya0001 [1]

Answer:

5507.79 feet

Step-by-step explanation:

To find the height of the mountain, we can draw triangles as in the image attached.

Let's call the height of the mountain 'h', and the distance from the first point (31 degrees) to the mountain 'x'.

Then, we can use the tangent relation of the angles:

tan(34) = h/x

tan(31) = h/(x+1000)

tan(31) is equal to 0.6009, and tan(34) is equal to 0.6745, so:

h/x = 0.6745 -> x = h/0.6745

using this value of x in the second equation:

h/(x+1000) = 0.6009

h/(h/0.6745 + 1000) = 0.6009

h = 0.6009 * (h/0.6745 + 1000)

h = 0.8909*h + 600.9

0.1091h = 600.9

h = 600.9 / 0.1091 = 5507.79 feet

8 0
3 years ago
A salesperson earns $200 a week plus a 4% commission on her sales. Which equation models the relationship between her sales in a
trasher [3.6K]

In this problem, we have the following variables:


e: The weekly earnings of a salesperson

s: sales in a given week


A salesperson earns $200 a week plus a 4% commission on her sales, that is, she earns:

<em>$200 plus 0.04 of her sales in a given week</em>


In a mathematical model, this is given by:

e = 200 + 0.04s

6 0
3 years ago
Read 2 more answers
Two machines are used for filling plastic bottles to a net volume of 16.0 ounces. A member of the quality engineering staff susp
aleksandrvk [35]

Answer:

Step-by-step explanation:

Hello!

The objective is to test if the two machines are filling the bottles with a net volume of 16.0 ounces or if at least one of them is different.

The parameter of interest is μ₁ - μ₂, if both machines are filling the same net volume this difference will be zero, if not it will be different.

You have one sample of ten bottles filled by each machine and the net volume of the bottles are measured, determining two variables of interest:

Sample 1 - Machine 1

X₁: Net volume of a plastic bottle filled by the machine 1.

n₁= 10

X[bar]₁= 16.02

S₁= 0.03

Sample 2 - Machine 2

X₂: Net volume of a plastic bottle filled by the machine 2

n₂= 10

X[bar]₂= 16.01

S₂= 0.03

With p-values 0.4209 (for X₁) and 0.6174 (for X₂) for the normality test and using α: 0.05, we can say that both variables of interest have a normal distribution:

X₁~N(μ₁;δ₁²)

X₂~N(μ₂;δ₂²)

Both population variances are unknown you have to conduct a homogeneity of variances test to see if they are equal (if they are you can conduct a pooled t-test) or different (if the variances are different you have to use the Welche's t-test)

H₀: δ₁²/δ₂²=1

H₁: δ₁²/δ₂²≠1

α: 0.05

F= \frac{S^2_1}{S^2_2} * \frac{Sigma^2_1}{Sigma^2_2} ~~F_{n_1-1;n_2-1}

Using a statistic software I've calculated the test

F_{H_0}= 1.41

p-value 0.6168

The p-value is greater than the significance level, so the decision is to not reject the null hypothesis then you can conclude that both population variances for the net volume filled in the plastic bottles by machines 1 and 2 are equal.

To study the difference between the population means you can use

t= \frac{(X[bar]_1-X[bar]_2)-(Mu_1-Mu_2}{Sa\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }  ~~t_{n_1+n_2-2}

The hypotheses of interest are:

H₀: μ₁ - μ₂ = 0

H₁: μ₁ - μ₂ ≠ 0

α: 0.05

Sa= \sqrt{\frac{(n_1-1)S^2_1+(N_2-1)S^2_2}{n_1+n_2-2}} = \sqrt{\frac{9*9.2*10^{-4}+9*6.5*10^{-4}}{10+10-2} } = 0.028= 0.03

t_{H_0}= \frac{(16.02-16.01)-0}{0.03*\sqrt{\frac{1}{10} +\frac{1}{10} } } = 0.149= 0.15

The p-value for this test is: 0.882433

The p-value is greater than the significance level, the decision is to not reject the null hypothesis.

Using a significance level of 5%, there is no significant evidence to reject the null hypothesis. You can conclude that the population average of the net volume of the plastic bottles filled by machine one and by machine 2 are equal.

I hope this helps!

8 0
3 years ago
. A textbook company states that the average time a student needs to take a quiz from its book is 30 minutes with a standard dev
Damm [24]
The conclusion that is valid based on the result of the test would be : A. Her students on average, do not take 30 minutes on the quiz, contrary to what the textbook company stated

we can see in the statement that the average student only need about 25 minutes to take the quiz

hope this helps

3 0
3 years ago
Read 2 more answers
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