Answer:
1.1.1) -61
1.1.2) Term 42
Step-by-step explanation:
Tn= dn (difference) + t0 (term 0)
Tn= -4n+ 11
You can now take this general rule to find out the other terms.
Tn= -4(18)+11
Tn= -61
And the term -157
Tn= -4n+11
-157= -4n + 11
-157 - 11= - 4n
-168= -4n
-168/-4= n
42= n
how many is 360 divided by 60?
Answer: 6
Step-by-step explanation:
360 divided by 60 =6
Solve 7x – 9 = 28 + 4(x – 1).
The botanist would like to estimate the average weight of mustard seeds grown in a certain type of soil; weight of the seeds is known to follow a normal distribution. The botanist collects a random sample of 10 mustard seeds and finds that the sample average and sample standard deviation are 528 mg and 49 mg respectively. Select from the following the correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data.
a. (480.1, 539.9)
b. (525.2, 534.8)
c. (479.4, 540.6)
d. (473.6, 546.4)
e. The necessary assumptions have not been satisfied and the calculation cannot be performed.
f. (469.4, 550.6)
Answer:
The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
T interval
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 = 10 - 1 = 9
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.833
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.833\frac{49}{\sqrt{10}} = 28.4[/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 528 - 28.4 = 499.6 mg
The upper end of the interval is the sample mean added to M. So it is 528 + 28.4 = 556.4 mg
The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).
The figure below shows a line graph ad two shaded triangles that are similar
Calculate the area of the given circle.
Answer:
63.59 (c)
Step-by-step explanation:
Formula: π[tex]r^{2}[/tex]
Plug in data:
9cm is diameter and a radius is half a diameter so the radius is 4.5cm.
π x 4.5^2 = 63.59cm^2
evaluate this surd √50+√18-√98
.......the answer is 7.26
Write the rule for the nth term of the sequence 2, 6, 18, 54, ... Then find a8.
Answer:
Multiply by 3
a8 = 4,374
Step-by-step explanation:
answer yoyoyo plz yo
Answer:
(5x)(3x)
Step-by-step explanation:
you would multiply (5x)(3x) first
and your final answer would be 15x ^ 2 - 13x - 6
Which graph shows a function where f(2) = 4?
Answer:
download photo math will help you and show you the steps
Find x. Please help i’m really struggling
Answer:
35 degrees
Step-by-step explanation:
the 35 degrees in blue and the orange x angle are corresponding angles
Factor: 2x + 2y
Show work please
Answer:
2(x + y)
Step-by-step explanation:
You can pull out a 2 from the expression.
So divide 2x by 2 and 2y by 2.
2x/2 = x
2y/2 = y
2(x + y)
Find the errors and correct the following mathematical sentences.
Answer:
This is your answer
What is the equation of the line with slope 13 and y intercept-6
Answer:
y = 13x - 6
Step-by-step explanation:
Hope This Helps ;)
Plz Mark Brainliest!!!
Tammy must run more than 67 miles total to reach her fitness goals. She has already run 35 miles and runs 4 miles per day, Which
of the following inequalities could be used to solve for x, the number of days Tammy still needs to run to reach her fitness goals?
Answer:
[tex]35 + 4x > 67[/tex]
To reach her fitness goal, she needs to run for more than 8 days.
Step-by-step explanation:
She has already run 35 miles and runs 4 miles per day:
This means that after x days, the distance she will have run is:
[tex]D(x) = 35 + 4x[/tex]
Tammy must run more than 67 miles total to reach her fitness goals.
This means that:
[tex]D(x) > 67[/tex]
[tex]35 + 4x > 67[/tex]
The inequality is:
[tex]35 + 4x > 67[/tex]
Solution:
[tex]4x > 32[/tex]
[tex]x > \frac{32}{4}[/tex]
[tex]x > 8[/tex]
To reach her fitness goal, she needs to run for more than 8 days.
PLS HELP!!! What is the total surface area of the square pyramid whose net is shown below?
400 in^3
1200 in^3
800 in^3
1600 in^3
Answer:
(20×20)+(2×20×30)
400+1200
1600inches^2
Answer:
1600 in^2
Step-by-step explanation:
We only have to add the areas of one square in the centre and 4 surrounding triangles.
area of the square=20×20=400 in^2
area of one triangle=1/2×20×30=300 in^2
area of four triangles=4×300=1200 in^2
So, total surface area of the square pyramid=400+1200=1600 in^2
*The units given should be in^2.
Two linear functions are shown. Which function has the greater initial value?
Answer:
Function A has the greater initial value because the initial value for Function A is 6 and the initial value for Function B is 3.
Step-by-step explanation:
✔️Function A:
Initial value = y-intercept (b)
y-intercept is the value of y, when the corresponding value of x = 0
From the table, y = 6 when x = 0.
The y-intercept of function A = 6
Therefore, initial value for Function A = 6
✔️Function B:
y = 4x + 3 is given in the slope-intercept form, y = mx + b.
b = y-intercept = initial value.
Therefore
Initial value for Function B = 3
✔️Function A has the greater initial value because the initial value for Function A is 6 and the initial value for Function B is 3.
Four times the sum n plus 10 is 34 what is the value of n?
Answer:
4(10+n)=34
40+4n=34
4n=-6
n=-6/4=-3/2
Step-by-step explanation:
Answer: 4n+40=34
Step-by-step explanation:
I got it right
Find the mean absolute deviation (MAD) of the data in the dot plot below.
Mass of each rock
in Ricardo's collection
numbers 35 36 37 38 39 40 41 42 43 44
Answer: 2 grams
Step-by-step explanation:
Answer:
ANSWER IN THE PHOTO: 2
help please i’ll give extra points & brainlist:)!
Suppose Y is a random variable with = 0, and = 1, skewness = 0, and kurtosis = 100. Explain why n random variables drawn from this distribution might have some large outliers. A. There might be some outliers because the skewness of the distribution equals 0. B. There might be some large outliers because both, the population variance and standard deviation , are equal to 1. C. There might be some outliers because the kurtosis of the distribution equals 100. D. There might be some large outliers because the population equals 0.
Answer:
C. There might be some outliers because the kurtosis of the distribution equals 100.
Step-by-step explanation:
Kurtosis is about the tail of the distribution. High kurtosis means that the data is heavily in the tails or outliers. The kurtosis of the distribution is 100 means there are outliers and the data lies in the tails. The skewness of the data set is determined by the outliers.
ill mark brainlist plss help
Answer:
Pentagon
Step-by-step explanation:
This is my choice. Since a baseball base is a quadrilateral when it has 4 bases, it should pentagon when it has an extra base..
Find angle a (use info in pic)
pretty please help me!!! i’ll mark brainliest! i tried putting this at 13 points!
Answer:
m∠T = 54°
Step-by-step explanation:
The measure of a straight line is 180°. (Linear angles theorem)
So, m∠WMT + 117° = 180°
m∠WMT = 180 - 117 = 63°
The base angles in an isoceles triangle are equal in measure (base angle theorem)
So,
m∠MWT = m∠WMT
m∠MWT = 63°
The sum of angles in a triangle is 180°. (Sum of angles in a triangle theorem) So,
m∠MWT + m∠WTM + m∠WMT = 180°
Substitute the measures we already found.
63 + m∠WTM + 63 = 180
Simplify.
126 + m∠WTM = 180
m∠WTM = 54°
m∠T = 54°
I hope this helps! Feel free to ask any questions!
Answer:
54°
Step-by-step explanation:
First calculate Angle WMT as: 180° - 117° = 63°
And note that Angle WMT = Angle MWT = 63°
Therefore, Angle T = 180° - 63° - 63°
Angle T = 54°
Each stew pot can hold 6 liters of stew if there are 5 stew pots how much stew could be made at one time
Answer:
Step-by-step explanation:
5p(6L/p)=30L
30 liters can be made with the five pots.
1/2 divided by 3. Please answer quickly. My homework is due in a few mins xd
Answer:
0.1666666666
I'd say 1.16
An artist mixes paint to make new colors. She uses 1/3 cup of red paint and
1/3 cup of yellow paint to make a batch of orange paint. If the artist has 2 cups of red paint available and 3 cups of yellow paint available, how many batches of orange paint can she make?
Answer:
6 batches
Step-by-step explanation:
1/3*6=2 cups of paint.
so they can make 6 batches and have 1 cup of yellow paint left
Simplify the expression (4x) −4th power Write your answer using only positive exponents.
Answer:
4x4x4x4
Step-by-step explanation:
I needed points
An item has a listed price of $30. If the sales tax rate is 5%, how much is the sales tax (in dollars)?
Answer:
$31.50
Step-by-step explanation:
First find 5 percent of 30 which is 5 divided by 100 multiplied by 30 then add the answer to 30 to get the answer to the question
Help me please answer this question
Answer:
y = 7x + 12
Step-by-step explanation:
Slope (m) = 7
Line is passing through the point (0, 12)
y-intercept (b) = 12
Equation of line in slope-intercept form is given as:
[tex]y = mx + b \\ \\ y = 7x + 12[/tex]
what is 29 divided 3 and what is the remainder?
Answer:
9 remainder2
Step-by-step explanation:
Answer:
29 divided by 3 is equal to 9, with the remainder 2.
Step-by-step explanation:
29 : 3 = 9
- 27
(2)
