Answer: x=12dm
Step-by-step explanation:
c=13 means hypotenous
a=5 means altitude
b=x=? means base
By pythagorean theorem
c^2=a^2+b^2
(13)^2=(5)^2+(x)^2
169=25+x^2
x^2=169-25
x^2=144
Taking sqrt on both sides
x=12
Studies have suggusted that twins, in their early years, tend to have lower IQs and pick up language more slowly than non-twins. The slower intellectual growth may be caused by benign parental neglect. Suppose it is desired to estimate the mean attention time given
to twins per week by their parents. A sample of 26 sets of two-year-old twin boys was taken, and after one week the attention time
received was recorded. The mean was found to be 27.4 hours with a standard deviation of 11,2 hours. Use this information to contruc
a 98% confidence interval for the mean attention time given to all twin boys by their parents, assuming that the population is
approximately normally distributed, Round the endpoints to one decimal place.
Confidence interval:( , )
Answer:
Confidence interval: (21.9, 32.9).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 26 - 1 = 25
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 25 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.485
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.485\frac{11.2}{\sqrt{26}} = 5.5[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 27.4 - 5.5 = 21.9 hours
The upper end of the interval is the sample mean added to M. So it is 27.4 + 5.5 = 32.9 hours
Confidence interval: (21.9, 32.9).
A research scholar wants to know how many times per hour a certain strand of virus reproduces. The mean is found to be 4 reproductions and the population standard deviation is known to be 2.3. If a sample of 1083 was used for the study, construct the 99% confidence interval for the true mean number of reproductions per hour for the virus. Round your answers to one decimal place.
Answer:
The 99% confidence interval for the true mean number of reproductions per hour for the virus is between 3.8 and 4.2.
Step-by-step explanation:
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 - 0.99}{2} = 0.005[/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 - 0.005 = 0.995[/tex], so Z = 2.575.
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 = 2.575\frac{2.3}{\sqrt{1083}} = 0.18[/tex]
Rounding to one decimal place, 0.2.
The lower end of the interval is the sample mean subtracted by M. So it is 4 - 0.2 = 3.8 reproductions
The upper end of the interval is the sample mean added to M. So it is 4 + 0.2 = 4.2 reproductions.
The 99% confidence interval for the true mean number of reproductions per hour for the virus is between 3.8 and 4.2.
PLEASE ANSWER FAST! WILL GIVE BRAINLIEST
Answer:
B po
Step-by-step explanation:
Kase interquartile range po yan
Find the area of this circle. Use 3.14 for 62 in.
Find the circumference and area of a circle whose diameter is 14cm
Answer:
C≈43.98cm
Step-by-step explanation:
Hhhhhhhhhhhhhhhhhhh
Answer:
Step-by-step explanation:
hello :
the circumference ix : P= 2 pi ×r r : ridus r = diameter/2 = 7 cm
P= 2×3.14×7=43.96 cm
I WILL MARK YOU AS BRAINLIST PLEASW HELPPP
Answer:
A = 30
Step-by-step explanation:
it's a 30,60,90 triangle by the sides but to prove it:
sohcahtoa
cos A = 3√2/2√6 = 4.24/4.899 = .865
A = 30°
3. What type of sequence is this?
0,2,5,9,14,...
Arthimetic
Geometric
Neither
Neither is the correct answer
geometry question help
Answer:
m<BCD is 62 degrees
Step-by-step explanation:
From the diagram given, both triangles are similar triangles and triangle CAB is isosceles in nature;
Hence;
m<CAB = m<CBA
Also
m<CAB + m<CBA = m<BCD
31 + 31 = m<BCD
Swap
m<BCD = 31 + 31
m<BCD = 62 degrees
hence the measure of m<BCD is 62 degrees
Three times the sum of a number and three is equal to six times the number, minus three. Find the number
The number is ?
Answer:
n = 4
Step-by-step explanation:
3(n + 3) = 6n - 3
3n + 9 = 6n - 3
12 = 3n
n = 4
The country of Freedonia has decided to reduce its carbon dioxide emission by 3 5 %every year. This year the
country issued 40 million tons of carbon dioxide.
Answer:
Brainliest?
Step-by-step explanation:
The amount after t years 40 millions tons
Bit by bit clarification:
Given as :
The pace of abatement of carbon dioxide one another = 35%
The amount of carbon dioxide radiated for this present year = 40 million tons
Let the amount of carbon dioxide discharged after t year = A millions tons
Presently, According to address
The amount of carbon dioxide radiated after t year = The amount of carbon dioxide discharged for this present year ×
Or on the other hand, A millions tons = 40 millions tons ×
Or on the other hand, A millions tons = 40 millions tons ×
Or on the other hand, A millions tons = 40 millions tons ×
Or on the other hand, A millions tons = 40 millions tons ×
So,The amount after t years = A = 40 millions tons
Consequently The amount after t years 40 million
Primalia knows there are 3 feet in 1 yard. She writes the equation 3= to find the number of yards, , in any number of feet, .
Use the drop-down menus to complete the statements about Primalia's equation.
The word choices for the first part is "greater than" or "less than".
The word choices for the second part is "greater than" or "less than"
The word choices for the third part is "will" or "will not"
The word choices for the fourth part is "3 x f = y", "3 + f = y", "3 x y = f", or "3 + y = f"
Answer:
Step-by-step explanation:
1. Greater than
2. Greater than
3. will
4. 3 × f = y
Question 17
17. Find the scale factor that was used in the dilation shown.
Answer:
We are missing a picture, we can't see the dilation they are referring to. The photo is just showing the answer options, so without the dilation it can't be answered.
Step-by-step explanation:
Which equation demonstrates the distributive property?
Answer:
B-36*8=8*36
The distributive property is just using the same numbers except it's just switched around but hte same numbers are in the problem/equation.
Hope this helps!
Have a great day!
- Hailey
Look below for an example!
Two hundred Dickinson parents were surveyed; 25% prefer year-round school. What fraction represents the number of parents who prefer year-round school?
I need some help with this,and have this done correctly for brainliest.
#5 = 1
Because you have to find x of (-3) and then you find 1.
#6 = 1
The vertical line doesn't represent a function but horizontal line if passed once represents the function.
#7 = 4
You can just plug in the x values into the equation and solve for y and math the answer to the y data.
1) Choice 1, is the correct answer because -3 on the x-axis touches the graph at 6 on the y-axis.
2) Choice 2, is the correct answer. It doesn't pass the horizontal line because it passes through more than one line on the graph. However, it does pass the vertical line test, which only passes through one line and makes this graph a function.
3) Choice 4, is the correct answer. If you use an online graphing tool, you can match up the points on one of these tables. Choice 4 only seems to fit all on these into f(x) = -2x + 6 equation.
Hope this helps :)
Check all that are equivalent to 3(-4a + 5)
A
-12a
B
-12a + 15
C
-12a - -15
D
12a + 15
Answer:
B.) -12a+15
Step-by-step explanation:
Find the area of the shaded region in the figure below, if the radius of the outer circle is 8 and the radius of the inner circle is 4. Keep your answer in terms of π.
Answer:
48 π
Step-by-step explanation:
Area of Circle =πr∧2
Big Circle Area = π(8)∧2 = 64π
Small Circle Area =π(4)∧2= 16π
Shaded Region = 64π - 16π = 48π
Please help I’ll mark you brainliest if correct!
Answer:
89.5
Step-by-step explanation:
Answer:
89.5
................................
HELP WILL GIVE BRANLIEST!!
Answer:
the answer is the first option
I have a box that is 5 inches wide 2 inches deep and 4 inches tall I want to fill with sand. how much sand can I fit inside the box?
Answer:
40
Step-by-step explanation:
5x2 is 10 and 10x4=40
A data set has a median of 48, and six of the numbers in the data set are less than
median. The data set contains a total of n numbers.
If n is odd, and exactly one number in the data set is equal to 48, what is the value of
n?
A 13
B 16
C 15
D 17
Someone please help me, I can't figure this out. I already asked this but I got a file. Please no files, I'm begging, I just want my math answers. Thank you,
(Look in image for question)
(Measurements are 4cm, 10cm, 5cm, 6cm, and 5cm).
Answer:
I believe the volume is 120 and the surface area is 124
Step-by-step explanation:
Photo used to help with the question is below!! Please answer! Will mark BRAINLIEST!
⬇⬇⬇⬇⬇⬇⬇
Find the measure of AGF.
Answer:
angle AGF = 55
Step-by-step explanation:
Assumed that this would be a perpendicular because of the 90 degree mark. So did 90 - 35 = 55
315 points)
What is the slope of a line parallel to y =-1/2x+6
A) 1/2
B) 2
C) -1/2
D) -2
Answer:
The slope is -1/2
Step-by-step explanation:
The Y-intercept is (0,6)
can u help me with this
Answer:
1/500 = 0.002, 2 and 6/10 = 2.6, 3 and 2/25 = 308%, 0.0025 = 25%
Step-by-step explanation:
find the distance between the points (-4,5), (-12,5)
Answer:
d = 8
Step-by-step explanation:
For:
(X1, Y1) = (-4, 5)
(X2, Y2) = (-12, 5)
Distance Equation Solution:
d=(−12−(−4))2+(5−5)2−−−−−−−−−−−−−−−−−−−−√
d=(−8)2+(0)2−−−−−−−−−−√
d=64+0−−−−−√
d=6–√4
d=8
Therefore, the distance between (-4,5), (-12,5) is 8.
A scientist is studying snakes in the tropical rainforest. She surveys a 1 square mile area. She collects the following data:
Based on the evidence provided, what is the most likely explanation for the red snake population size? (SC.5.N.1.1)
The red snakes are not well hidden, so they are eaten by predators often.
The green snakes and the red snakes are in competition for the same food.
The black snakes prey upon the red snakes during certain times of the year.
The red snakes have been killed off by the poisons they produce.
Answer:
its c
Step-by-step explanation:
i took the test and got 100 percent
Ravi has ridden 44 miles of a bike course. The course is 55 miles long. What percentage of the course has Ravi ridden so far?
Answer:
80%
Step-by-step explanation:
To find the percent that he has ridden, divide the number of miles he has ridden by the total length of the course
44/55
= 0.8
So, Ravi has ridden 80% of the course
Answer:
80%
Step-by-step explanation:
There are 55 miles 1/5=11 miles so 44 miles=4/5
4/5=80%
need to solve
7y+32;y=9
Answer:
95
Step-by-step explanation:
Have a great day
If Houston is six hours behind London, what time would it be in Houston if it were 9 p.m. in London?
Answer:
3:00 p.m. in Houston.
Step-by-step explanation: