Answer:
z-method: (66.26, 75.18)
Step-by-step explanation:
We have the standard deviation for the population, which means that we use the z-distribution to solve this question.
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{16.25}{\sqrt{51}} = 4.46[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 70.72 - 4.46 = 66.26
The upper end of the interval is the sample mean added to M. So it is 70.72 + 4.46 = 75.18
The correct answer is z-method: (66.26, 75.18)
Two sides of an isosceles triangle are 4 and 8. Which of the following choices could be the measure of the third side?
A. 10
B. 8
C. 6
D. 4
Answer:
8 is answer. isoceles triangles must have two equal sides, where the smaller makes the base and the two larger are the legs.
Step-by-step explanation:
The measure of the third side of an isosceles triangle is 8 units.
What is an isosceles triangle?An isosceles triangle is a triangle with (at least) two equal sides. A polygon that consists of two equal sides, two equal angles, three edges, three vertices and the sum of internal angles of a triangle equal to 180°.
For the given situation,
The sides of an isosceles triangle are 4 and 8.
In isosceles triangle, two sides have equal length and the base should be less.
From the measurements given, the base could be 4 units and the third side is same as 8 units.
Hence we can conclude that the measure of the third side of an isosceles triangle is 8 units.
Learn more about an isosceles triangle here
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A lumber company is making boards that are 2638.0 millimeters tall. If the boards are too long they must be trimmed, and if the boards are too short they cannot be used. A sample of 18 is made, and it is found that they have a mean of 2636.5 millimeters with a standard deviation of 12.0. A level of significance of 0.05 will be used to determine if the boards are either too long or too short. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the boards are either too long or too short
Answer:
The answer is "Fail to reject [tex]H_o[/tex], because [tex]w_o[/tex] is sufficient evidence for claim".
Step-by-step explanation:
[tex]H_0 \mu=2638.0 \ \ / \ \ H_a \mu \neq 2638.0 \\\\\mu < 2638.0 \ \ or \ \ \mu > 2638.0 \\\\\alpha =0.05 \ \ level \ \ at \ \ sufficient \\\\[/tex]
Test Statistic:
[tex]t =\frac{\bar{x}- \mu}{\frac{S}{\sqrt{n}}}\\\\=\frac{2636.5- 2638.0}{\frac{12.0}{\sqrt{18}}}\\\\= -0.5303\\\\[/tex]
[tex]dt=17\\\\[/tex]
p-value[tex]=0.6028[/tex]
The population of a southern city follows the exponential law. If the population doubled in size over 19 months and the current population is 50,000, what will the population be 5 years from now?
Answer:19=2x/yr..(407936.5)
Step-by-step explanation:
Who ever answers it gets Brainly
Which of the following equation represents a linear function
Answer: it is c
Step-by-step explanation:
Luisa solves for x in the equation 9(1/3) + 8x = 4( 2x + 3/4)
Answer:
x = all real numbers because this equation is an identity
Step-by-step explanation:
9 (1/3) = 9*1/3 = 3
3 + 8x = 4(2x + 3/4)
3 + 8x = 8x + 3
x = all real numbers because this equation is an identity
Answer: − 4 cot ( − 45 )
csc(60)
sin (330)
Not 100 % sure but that's what I figured out.
Asap need help fast pls!!!!!!
Answer:
i think its 20 too, tho good luck
Step-by-step explanation:
PLEASE HELP 30 cm
30 cm
76 cm
Casa wames to put a layer of sand at the bottom of the tank. The sand layer is to be 3 cm deep. If the density of sand is 2.65 9 what mass of sand does Carla need to purchase? Round to the nearest gram.
cm
6810
18. 136
25.11
cm
6810
18. 136
25.11
The mass of Sand that Carla needs to purchase for the sand tank is gotten to be; 25811 g
What is the mass required?Formula for density is;
Density = mass/volume
From the box we are given, it's volume is;
Volume = 30 * 30 * 76
Volume = 68400 cm³
Now, from conversion;
1 cm³ = 1g. Thus;
68400 cm³ = 68400 g
Volume = Mass/density
Volume = 68400/2.65
Volume = 25811 g
Read more about mass required at; https://brainly.com/question/1762479
А Campus athletics is interested in the proportion of registered students living on campus who play basketball recreationally during the semester. They take a random sample of 198 registered students listed as living in campus housing and ask each whether or not they do so. A 95% confidence interval is correctly calculated from this data as (0.12, 0.18). Which of the following is the correct interpretation of this confidence interval ?
a. None of these are correct.
b. We are 95% confident that the proportion of the 198 sampled students that actually play basketball is between 0.12 and 0.18
c. We are 95% confident that, among the population of students that play basketball recreationally, the proportion who live on campus is between 0.12 and 0.18.
d. The sample proportion of on-campus students that play basketball will be between 0.12 and 0.18 in 95% of samples of size 198
Answer:
c. We are 95% confident that, among the population of students that play basketball recreationally, the proportion who live on campus is between 0.12 and 0.18.
Step-by-step explanation:
According to the question, it is mentioned that there is 95% confidence interval and it is calculated (0.12,0.18)
So the correct interpretation is that they are 95% confident that the students who play basketballs the proportion should lies between 0.12 and 0.12
So, the option C is correct
The rest of the options are wrong
15 is 9 more than j.
As an equation.
what is 91,360 in expanded form
Answer:
Expanded Notation Form:
91,360 =
90,000
+ 1,000
+ 300
+ 60
+ 0
Expanded Factors Form:
91,360 =
9 × 10,000
+ 1 × 1,000
+ 3 × 100
+ 6 × 10
+ 0 × 1
Expanded Exponential Form:
91,360 =
9 × 104
+ 1 × 103
+ 3 × 102
+ 6 × 101
+ 0 × 100
Word Form:
91,360 =
ninety-one thousand three hundred sixty
Hope this helps! mark me as brainliest if possible, you dont have too!
Step-by-step explanation:
What is the better deal? 6 for $6.99 or 24 for $13.99
Answer:
24 for $13.99
Step-by-step explanation:
Find the cost of 1 for both deals.
6 for $6.99. Divide 6.99 with 6:
6.99/6 = 1.165
~$1.17 for one.
24 for $13.99. Divide 13.99 with 24:
13.99/24 = ~0.582
~$0.58 for one.
24 for $13.99 is the better deal, by ~59¢.
5
Given volume of rectangular prism is 432 m.
h
12 m
4 m
Find height?
Answer:
9m
Step-by-step explanation:
volume = length x width x height so
432 / 12 / 4 = 9
44,652 divided by 47
Answer: 950. 042553
Step-by-step explanation: Calculator
help asap
IS
Find the value of x. Round to the
nearest tenth.
35
х
12
X=
= [ ?]
Answer:
x ≈ 17.14
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan35° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{12}{x}[/tex] ( multiply both sides by x )
x × tan35° = 12 ( divide both sides by tan35° )
x = [tex]\frac{12}{tan35}[/tex] ≈ 17.14 ( to the nearest tenth )
Find the value of x
A. 7
B. 8
C. 10
D. 15
Pleaseeeeeee helpppppppppppppppp
Answer:
itz A
Step-by-step explanation:
Love you hun;)
Please help due today
Our fathers brought forth on this continent a new nation.
Find a equation of the line that passes through the points (-2,-5) and (4,25) express the final answer in slope - intercept form. PLEASE HELP IM BEING TIMED
Answer:
y=5x+5
Step-by-step explanation:
to find the slope of the line: 25-(-5)/4-(-2)=30/6=5
so the slope is 5
to find the y-intercept:
y=5x+b
25=5(4)+b (i used the point (4, 25) and plugged in 4 for x and 35 for y)
b=5
so, the equation of the line is: y=5x+5
Choose all the weights that are equal to 1 ton 200 pounds.
A.
35,000 ounces
B.
1,200 pounds
C.
2,200 pounds
D.
1,200 pounds 100 ounces
E.
1 ton 100 pounds 1,600 ounces
PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS ANSWER IF U DONT I WONT RATE BRAINLYEST IF U DONT U DUM
C and E i did it and got it right and Np
There are twice as many girls as there are boys in the chess club. If there are 18 girls in the club, how many boys are in the club?
I mark brainliest by today
Determine whether the point (7,4) is on the circle, or inside or outside the circle x^2+y^2=62
Answer:
Outside.
Step-by-step explanation:
7^2 + 4^2 = 62
65 does not equal 62 so outside of the circle.
please help me with this asap
Answer:
Upper left 10, upper right 2, lower left 3, lower right 3.
Step-by-step explanation:
they give us the upper left and lower right in the first two bullet points. Then “in total, 12 girls can sing”. 12 - the 10 who can sing and dance = 2 for upper right.
They also say there are 18 girls total. 18 - 10 - 3 = 3 for the lower left
help will give brainliest need help ASAP
Answer:
LQ: 7.5
UQ: 21
Step-by-step explanation:
After identifying the median, remove it and split the data into two halves.
The upper quartile is the median is the top set of data and the lower quartile is the median is the bottom set of data.
If you have two numbers in the middle, you add them and divide by two to find the median/ quartile
so
[tex]\frac{7+8}{2} =7.5[/tex]
[tex]\frac{21+21}{2} =21[/tex]
Can someone help me pls
Answer:
Oops, didn't mean to answer because I already answered this one.
Step-by-step explanation:
Solve for x, show work!
Answer: x=3
Step-by-step explanation:
One of the properties of diagonals of a rectangle is that they bisect each other, meaning that four segments are equal.
For example, in this question, according to the property, AE, CE, DE, BE will be equal.
Solve:
AE=CE
AE+CE=AC
CE+CE=AC
DB=AC
DB=2CE
(18)=2(4x-3)
18=8x-6
18+6=8x-6+6
24=8x
24/8=8x/8
x=3
Hope this helps!! :)
Please let me know if you have any questions
can someone show work and explain ??
Answer:
481 cubic inches
Step-by-step explanation:
Volume of the figure = Volume of the triangular prism + rectangular prism
Volume of the triangular prism = Base area * height
Volume of the triangular prism = (1/2*5*3) * 6
Volume of the triangular prism = 15/2 * 6
Volume of the triangular prism = 15 * 3
Volume of the triangular prism = 45in³
Volume of the rectangular prism = 16*7*3
Volume of the rectangular prism = 336in³
Volume of the figure = 45+336
Volume of the figure = 481 cubic inches
A pride of lions is growing at a rate of 0.5% per year, compounded continuously. If the growth rate continues, how large will
the pride be after 100 years if it starts with 50 lions. Round your answer to the nearest lion.
Provide your answer below:
Answer:
the answer is 52 Lions
Step-by-step explanation:
I think that's the answer if I'm wrong please tell me if I'm wrongI can ask the people who are around me.
Answer:
82
Step-by-step explanation:
Circle P has a circumference of approximately 75
inches.
What is the approximate length of the radius, r? Use 3.14
for y. Round to the nearest inch,
12 inches
D24 inches
38 inches
46 inches
Answer:
12 in
Step-by-step explanation:
C=2pi *r
75/2(3.14)=r
r=75/6.28
~11.94~12 inches
if my answer helps please mark as brainliest
Answer:
12 in
Step-by-step explanation:
Circumference:
C = 2πr
75 = 2(3.14)r
75 = 6.28r
r = 75/6.28
r = 11.95 ≈ 12
Name: LESTER GREEN Class: NIGHT SCHOOL Complete with the missing letters and then colour. ED BAK _LU GRE_ W_ _TE PN B_O_N GR. N. a ELL__ RE_ OR N E PURP__ i havourite Colours
find the next term in the sequence. please type the number only as you answer. hint first figure out if the sequence is arithmetic or geometric
-3,9,-27,81,