Answer:
The z-score is -2
Step-by-step explanation:
Here, we are asked to calculate the z-score of the height.
Mathematically, we can calculate z-score by using the formula below;
z-score = (x-mean)/SD
According to this question, mean = 44cm and SD = 3cm with x here = 38cm
Plugging these values into the z-score equation, we have
z-score = (38-44)/3 = -6/3 = -2
The 10th term of an AP is -37 and sum of its first 6 terms is -27. Find the sum of its first eight terms.
Answer: - 63
Step-by-step explanation:
An arithmetic progression is such that the N-th element is equal to:
An = A1 + (n-1)*R
where A1 is the first term, and R is the difference between two consecutive terms.
We know that
A1 + 9*R = -37
and
A1 + (A1 + R) + (A1 + 2R) + (A1 + 3R) + (A1 + 4R) + (A1 + 5R) = -27
6*A1 + R(1 + 2 + 3 + 4 + 5) = -27
6*A1 + 15*R = -27
so we have two equations:
6*A1 + 15*R = -27
A1 + 9*R = -37
Let's find A1 and R.
First, isolate A1 in the second equation:
A1 = -37 - 9*R
now replace it in the other equation and solve it for R.
6*A1 + 15*R = -27
6*(-37 - 9*R) + 15*R = -27
-222 - 54*R + 15*R = -27
-39*R = -27 + 222 = 195
R = 195/-39 = -5
Now we can find the value of A1:
A1 = -37 - 9*R = -37 - 9*-5 = 8
So now we want to calculate the sum of the first eight terms. we already know that the sum of the first six is -27, so we need to add the seventh and the eigth.
A7 = 8 + 6*-5 = -17
A8 = 8 + 7*-5 = -22
Sum = -27 -17 - 22 = -63
Let ∠A, ∠B, and ∠C be acute angles. Use a calculator to approximate the measures of ∠A, ∠B, and ∠C to the nearest tenth of a degree.
cos A = 0.31, sin B = 0.89, tan C = 0.52
Answer:
1. ∠A = 71.9°
2. ∠B = 62.9°
3. ∠C = 27.5°
Step-by-step explanation:
By using a calculator, we have;
cos A = 0.31
sin B = 0.89
tan C = 0.52
1. Therefore, ∠A = cos⁻¹(0.31), inputting the digits in the calculator and looking for the inverse sign, we have;
∠A = cos⁻¹(0.31) = 71.94° = 71.9° to the nearest tenth of a degree.
2. For sin B = 0.89, we have;
∠B = sin⁻¹0.89 = 62.873° ≈ 62.9° with the answer rounded to the nearest tenth of a degree.
3. Similarly, for tan C = 0.52, inputting the values in the calculator and pressing the tan⁻¹ button, we have;
∠C = tan⁻¹(0.52) = 27.474°, which is 27.5° rounded to the nearest tenth of a degree.
In how many ways can you cut out and rearrange the letters of the
word MATH? Show your samples or ways.
Answer:
HAT AM
HAM
MAT
AT
Step-by-step explanation:
(if you can repeat the letters)
THAT
hopefully this helps and i didnt miss any words
Write a quadratic equation to represent a function with a vertex of (-3, 2) that passes
through the point (-1,22). Put your equation in vertex form.
Answer:
use phototmath
Step-by-step explanation:
how many 1/8 are in 1/2 a cup
Answer:
Add dem
Step-by-step explanation:
Just add dem and u will get our answer
Answer:
4
Step-by-step explanation:
Add 1/8 until, when simplified, it will equal 1/2:
1/8 + 1/8 = 2/8
2/8 + 1/8 = 3/8
3/8 + 1/8 = 4/8 = 1/2
4 1/8 are needed to get 1/2: (4 * 1)/8 = 4/8 = 1/2
The following table shows the number of points scored last basketball game by each player on the Dragons basketball team.
Player Number of points scored
Daniela 555
Isabella 888
Rafaela 111111
Beatriz 777
Kalin 99
FIND MAD
Answer:
[tex]1.6[/tex] - written in [tex]2/12/2021[/tex]
Step-by-step explanation:
The answer is [tex]1.6[/tex] because, [tex]\frac{5+8+11+7+9}{5} = 8[/tex] and [tex]8-5=3[/tex], [tex]8-8=0[/tex], [tex]11-8=3[/tex], [tex]8-7=1[/tex], and [tex]9-8=1[/tex].
So use all the sums and you'll get this: [tex]\frac{3+0+3+1+1}{5} =1.6[/tex]
This is exactly how I got the answer, I also did it on khan because I didn't trust the other person above me, and I got the same answer as him. So I did this to prove he's correct.
Answer:
7.4
Step-by-step explanation:
Order the rational numbers from least to greatest
Answer:
its the 3rd one
Step-by-step explanation:
you find which one is smaller and then you go to the next one up
How much money was raised with the 100 tickets solved?
Answer:
£1481
Step-by-step explanation:
First find the cumulative frequency of the child tickets. You should get 58.
Then multiply this by the price of the child tickets.
58x12.50=£725
Then, to work out the number of adults, we subtract 58 from 100
100-58=42
Then multiply this by the price of adult tickets.
42x18=£756
Add both prices together to get your answer.
725+756=£1481
Sorry if it's too late, I hope it helps. :)
14,500 people are sitting in a stadium. One of them is picked out. What are the chances that the person's birthday is on a Sunday?
Please give an accurate answer
There are 7 days in a week.
The probability of being on any one day of the week would be 1/7
So the probability of a persons birthday being on a Sunday would be 1/7
Answer:
WELL THERE 7 DAYS IN THE WEEK
Step-by-step explanation:
help please!! 10 points <3
Answer:
x = 5
Step-by-step explanation:
15 / 3 =5
60. Express - 78 in the form bi where b is a real number.
TIME SENSITIVE‼️‼️‼️
Answer:
c
Step-by-step explanation:
The data set shows the numbers of hours that employees at a certain shop worked in one week. What is the mean number of hours they worked that week? 30 15 32 48 16 51 30 35 32 31
Answer:
mean number of hours worked = 32
Step-by-step explanation:
The mean or average of a set of data is the sum of the individual data divided by the number of entries.
Therefore, the mean number of hours worked is calculated as follows:
sum of the number of hours = 30 + 15 + 32 + 48 + 16 + 51 + 30 + 35 + 32 + 31 = 320
Number of entries = 10
mean number of hours worked = sum of the number of hours ÷ Number of entries
mean number of hours worked = 320 ÷ 10 = 32
What is the surface area of a cube in which each face of the cube has an area of 7 cm??
Answer:
42
Step-by-step explanation:
6 faces to a cube
each face has area of 7
6*7 is 42
Answer:
42 is correct
Step-by-step explanation:
give the other person brainliest
Anthony played a dart game using the dartboard shown above. Anthony had 5 throws and then added his points. He hit the -6 twice, the 10 once, the 2 once, and the -4 once. How many points did Anthony earn?
Answer:
- 4
Step-by-step explanation:
The number of points earned by Anthony is the sum of all the individual points earned from the 5 throws. Considering that he had -6 on 2 throws, 10 from one throw, 2 and the -4 from the final set of throws, the total is equivalent to
= -6 - 6 + 10 + 2 -4
= -4
Anthony earned a total of - 4 from the 5 throws.
Consider the quadratic function f(x)= 2(x + 4)² − 6. Does the graph open up or down
Answer:
up
Step-by-step explanation:
a is positive
30 POINTS!!!
The math club surveyed 100 students about the number of math courses in which they were enrolled and the weight of their backpacks. Classify the random variables from the survey.
Number of math courses, discrete; weight of backpack, discrete
Number of math courses, discrete; weight of backpack, continuous
Number of math courses, continuous; weight of backpack, discrete
Number of math courses, continuous; weight of backpack, continuous
Unable to determine from information given
Answer:
As described, the classification of random variables should be:
Number of math courses, discrete; weight of backpack, continuous.
Hope this helps!
:)
Answer:
Number of math courses, discrete; weight of backpack, continuous
Step-by-step explanation:
Hope this helped! stay safe! ;D
Work out the value of 58×5-2
54
Answer:
36
Step-by-step explanation:
58 times 5 is 290. 290-254 is 36
True or False: "What is the height of the tallest person in my class" is a statistical question
Answer:
it is true
Step-by-step explanation:
because a statistical question is a question that has more than one possible answer so it can have a variety of answers. in other words more than 1 answer.
hope this help :-)
Four angles are formed by the intersection of the diagonals of this quadrilateral. Which statement is NOT true?
Answer:
Can’t really understand your question!!
Correct answers only!
To the nearest cent, how much will she have in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer: $6.62
Step-by-step explanation:
This problem is very similar to the one I answered previously. We are given our p, r, and t.
p=6 ($6)
r=0.05 (5%)
t=2 (years)
With the given information, we can plug this into the equation:
B=p(1+r)^t
B=6(1+0.05)^2
B=6.615
Our final amount is $6.62.
Let me know if there are any problems.
I have Atlanta... please and thank you :)
Answer:
?
Step-by-step explanation:
Answer:
Hi! I was looking at this question and it has confused me what do you want to be answered if you let me know that would be great! Thank you.
Hope this Helps :)
Brainliest!!!
What is 30 divided by 5?
Really Easy!
Answer:
6
Step-by-step explanation:
Answer:
The answers 6 gorgious
In a certain Algebra 2 class of 24 students, 6 of them play basketball and 16 of them play baseball. There are 6 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
4/24
Step-by-step explanation:
Answer:
4/24
Step-by-step explanation:
Need help ASAP !! Anyone get this question ?
Answer:
1:3
Step-by-step explanation:
Down arrows: 4 out of 12
4:12
1:3
Answer:
4:12, 4 to 12, or 4/12
Step-by-step explanation:
this is so simple, first see how many down arrows are there
down arrows: 4
then count the total arrows
total: 12
down arrows to total arrows
4:12
Sue biked 5 kilometers each day for 7 days. How many cm did she bike in all?
HELP ASP GIVING YOU 30 POINTS FOR THIS
Answer:
3,500,000
Step-by-step explanation:
Answer:
Sue biked 3,500,000 centimetres.
Step-by-step explanation:
First, multiply 5 km by 7 (days). 5 × 7 = 35 km
Convert the kilometres to centimetres.
There are 100,000 cm in a kilometer, so multiply:
35 × 100,000 = 3,500,000 cm.
Jada walks up to a tank of water that can hold up to 10 gallons when it is activated a dream empty water from the tank at a constant rate when Jayda first season take it contain 7 gallons of water three minutes later the tank contains 5 gallons of water at what rate is the amount of water in the tank changing you signed numbers and include the unit of measurement in your answer
Correct question:
Jada walks up to a tank that can hold up to 10 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 7 gallons of water. Three minutes later, the tank contains 5 gallons of water. At what rate is the amount of water in the tank changing? use a signed number, and include the unit of measurement in your answer.
Answer: - 2/3
Step-by-step explanation:
Given the following :
Amount of gallon tank can hold = 10
tank drains at a constant rate :
First look tank contains 7 gallons
After 3 minute,
Tank contains 5 gallons
Thus signifies a 2 gallon decrease in volume of water after 3 minutes
Therefore, the rate of change =( change in volume) / time
Rate of change = (final volume - initial volume ) / 3
(5 - 7)/ 3 = - 2/3
An acute ∆ABC is rotated about a point and then dilated by a scale factor of 0.5 to produce ∆A’B’C’. Which statement correctly compares ∆ABC to ∆A’B’C’.
Answer:
Option given in the top right.
Step-by-step explanation:
If an acute triangle is rotated about a point,
- Angles of the transformed triangle remain unchanged.
If a triangle is dilated by a scale factor of [tex]\frac{1}{2}[/tex],
- Measure of sides of the image will be dilated by a scale factor of 0.5.
Therefore, statement that compares ΔABC to ΔA'B'C' will be,
The angle measures of the triangle A'B'C'are the same of those ΔABC, but the side length of the ΔA'B'C' half the size of those of ΔABC.
Option given in the top right is the answer.
A polynomial p has zeros when x = 1/5, x = -4, and x = 2.
What could be the equation of p?
Answer:
-3
Step-by-step explanation:
and
= -3
What could be the equation of p?
Choose 1 answer:
©
p(x) = 2(6x + 1)(x+3)
©
p(x) = 2(6x – ) (2 – 3)
© p(x) = + (6 +) (+3)
© pla) = = (***) (2-3)
Answer:
p(x) = (5x - 1) (x + 4) (x - 2)
Step-by-step explanation:
Two and a half pounds of Super Nutty granola cost $12. How much does one pound cost?
Answer:
4.8 dollars for 1 pound super nutty
Need help ASAP. WILL MARK BRAINLIEST
Answer: 150.80 inches.
Step-by-step explanation:
Answer:
75.36
Step-by-step explanation:
You need to multiply the diameter, 24 by 3.14, and the answer is 75.36.