Answers:
x = 4
RM = 7
======================================================
Explanation:
The midpoint cuts the larger segment RS in two equal halves, so RM = MS
RM = MS
x+3 = 2x-1
3+1 = 2x-x
4 = x
x = 4
RM = x+3
RM = 4+3
RM = 7
MS = 2x-1
MS = 2*4-1
MS = 7
Both RM and MS are 7 units long, which confirms our answers.
RS = RM+MS
RS = 7+7
RS = 14
A teacher instituted a new reading program at school. After 10 weeks in the program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this result? Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals rounded to four decimal places as needed.)
Complete question is;
The reading speed of second grade students in a large city is approximately normal, with a mean of 91 words per minute (wpm) and a standard deviation of 10 wrpm. A teacher instituted a new reading program at school. After 10 weeks in the program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this result? Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals rounded to four decimal places as needed.)
Answer:
We would conclude that the new program doesn't seem to be more effective than the old program.
Step-by-step explanation:
We are given;
Population mean; μ = 91
Population standard deviation; σ = 10
Sample mean; x¯ = 90.7
Sample size; n = 19
Formula for z-score
z = (x¯ - μ)/(σ/√n)
z = (90.7 - 91)/(10/√19)
z = -0.131
From online p-value from z-score calculator attached, using z = -0.131; significance level = 0.05; one tailed, we have;
P-value = 0.4479
This is more than the significance level of 0.05. Thus, we would conclude that the new program doesn't seem to be more effective than the old program.
Would you use an equal sign or an inequality symbol in the following situation? Explain how to decide which sign to use
In many states you must be at least 16 years old to obtain a driver's license?
Answer:
You would use an inequality sign because the statement says at least, meaning you have to be above or exactly the age given.
Step-by-step explanation:
You would use an equal sign if it says you must be that exact age, meaning anyone above and under the age of 16 are not allowed to obtain their drivers license.
Del Gato Clinic's cash account shows a $11,589 debit balance and its bank statement shows $10,555 on deposit at the close of business on June 30. Outstanding checks as of June 30 total $1,829. The June 30 bank statement lists a $16 bank service charge. Check No. 919, listed with the canceled checks, was correctly drawn for $467 in payment of a utility bill on June 15. Del Gato Clinic mistakenly recorded it with a debit to Utilities Expense and a credit to Cash in the amount of $476. The June 30 cash receipts of $2,856 were placed in the bank's night depository after banking hours and were not recorded on the June 30 bank statement.
Answer:
Adjusted bank balance $11,582
Adjusted book balance $11,582
Step-by-step explanation:
Preparation of bank reconciliation statements
DEL GATO CLINIC Bank Reconciliation
June 30
Bank statement balance $10,555
Add: Bank deposit $2,856
Total $13,411
Deduct: Outstanding checks $1,829
Adjusted bank balance $11,582
($13,411-$1,829)
DEL GATO CLINIC Bank Reconciliation
June 30
Book balance $11,589
Add: Error in check $9
($467-$476)
Deduct: Bank charges$16
Adjusted book balance $11,582
($11,589+$9-$16)
Therefore Adjusted bank balance will be $11,582 while Adjusted book balance will be $11,582
HELP ASAP! TEST QUESTION! p varies directly with q and that p=66 when q=11. What is the value of p when q =2
Answer:
12
Step-by-step explanation:
if p=66 then q=11 that simply means p is 6 times greater than q. so if q=2 then p=12
help please thank you
Mary did the following problem.
57 - 6^2 + (10 + 2)
57 - 6^2 + 12
57 - 36 + 12
57 - 48
9
Which of the statements is true?
It is wrong because 6^2 is 12.
It is correct.
It is wrong because the subtraction should have been done before the addition.
It is wrong because 57 - 48 is 11
Answer:
its C
Step-by-step explanation:
i got this right on my quiz
Answer: it's wrong because subtraction comes before addition
Step-by-step explanation:
in the order of operations, there is PEMDAS
parentheses
exponents
multiplication
addition
subtraction
from multiplication to subtraction it does not matter which one you do first as long as you solve left to right so...
57-36+48
moving left to right you would do 57-36 first
On which number line are -3 and its opposite shown?
-10
-9
8
-7
-6
-5
4
3
O
1
2
3
4
5
6
7
8 9
10
-10-9-8-7 -6
-54
3
2.1
0
1
2
3
4
5
6
7
8 9
10
toto+
-10-9
-8-7
-6
-5-4
3
2
.1
0
1
2
3
4
5
6
7
8 9 10
- 10 9 8 7
3 2
-1
0
1
2
3
4
6
7
8
9 10
Answer:
it is on the farthest to the left of the screen
PLEASE HELP!
Elsa Is taking physical fitness tests in her strength training class. Each day, her results are compared to her resutts from previous days. The first day she completes a test is considered the baseline, and Is represented by 0. For instance, on the first day she did the flexibility test, her result was calculated as 0. On the second day, in comparison to her first day's result, she was able to reach 1 1/16 inches less than the first day, which was recorded as -1 1/16. Then, on the third day, Elsa recorded a result of -5/8.
A. On which day did Elsa reach farther: the second or third day?
B. By how much?
Answer:
A) The second day
B) 9/16 inches
A) Elsa reached farther on the second day because -1/16 > -5/8
B) To calculate this we must first put both fractions above the same denominator. We can then subtract the smaller one from the bigger one:
-1/16 - (-10/16) = 9/16
Elsa reached 9/16 inches farther on the second day then she did on the first.
Hope this helps and have a great day!
Also stay safe! :))))
8(x+1)-7x ≥-3 help me find the solution
Answer:
x [tex]\geq[/tex] 11
Step-by-step explanation:
[tex]8\left(x+1\right)-7x[/tex]
[tex]8x+8-7x[/tex]
[tex]x+8[/tex]
Then..
[tex]x+8\ge \:-3[/tex]
Subtract 8 from both sides
[tex]x+8-8\ge \:-3-8[/tex]
Then, you got your awnser.
[tex]x\ge \:-11[/tex]
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $76.00
Markdown: 33%
The sale price is $ .
PLZ ANSWER ASAP!
what is the most amount of change you can have in your pocket, but still not be able to give someone exact change for $1.00?
Hint: it is over $1.00 worth of change.
Answer: If you have three quarters, four dimes, and four pennies, you have $1.19, the largest amount of money in coins you could have without being able to make change for a dollar
Need help with this one fast
Answer:
a ≈ 43.64
hope this helps
this graph shows how fast the International Spacd Station travels in orbit around Earth. what is the meaning of the point with an x-coordinate of 2
Answer:
have you found the answer I need it to
Which expression is equal to (5−2i)−(1+3i)
Answer:
4-5i
Step-by-step explanation:
Answer:
4-5i
Step-by-step explanation:
(5-2i)-(1+3i)
5-2i-1-3i
5-1-2i-3i
4-5i
5.76
228
35
Which list shows the lengths in order from greatest to least?
Answer:
the correct order of these from greatest to least is. 228, 35, 5.76
For question A, I figured out one of the expressions is n^2+2, but I need two, and I have no idea what the second one could be.
For B, I figured out it’s a Quadratic function, but I need help explaining why.
For C, I have nothing.
The polynomial P is graphed.
What is the remainder when P(x) is divided by (x+1)? Your answer should be an integer.
===================================================
Explanation:
The remainder theorem says that if we divide some polynomial p(x) over (x-k), then p(k) is the remainder.
The expression x+1 is the same as x-(-1). Comparing this to x-k shows k = -1.
So we'll need to evaluate p(-1)
To do so visually, draw a vertical line through -1 on the x axis. Make sure this vertical line crosses the blue curve at some point, which I'll call point A.
From point A, draw a horizontal line to the y axis. You should reach y = 3.
This is all shown in the diagram below.
In other words, the point (-1,3) is on the blue curve, and p(-1) = 3.
So the remainder is 3.
Answer:
3
Step-by-step explanation:
Please help ASAP 4 and 5 will mark brainliest and give 10 points
Answer
I know the answer to number 4 is No
Step-by-step explanation:
Because when you plug the coordinates (8,-44) into the equation y=-7x+6 it gives the wrong output of -50
evaluate this
| 5+-3-2 |
Answer:
0 is the answer
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
5+-3= -2
-2-2=0
Find the slope of the line that passes through:
(-4,7) and (-6, -4)
Answer:
Ok:
Step-by-step explanation:
The formula is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Here, we can plug in values where x2 = -6, x1 = -4, y2=-4, and y1 = 7. Solving, we get the slope is 11/2 or 5.5.
On which interval is y = sin(x) strictly increasing?
(Negative pi, negative StartFraction pi Over 2 EndFraction)
(0, pi)
(StartFraction pi Over 2 EndFraction, StartFraction 3 pi Over 2 EndFraction)
(0, StartFraction pi Over 2 EndFraction)
Answer:
The function is strictly increasing on (0, π/2)
Step-by-step explanation:
We are given the function;
y = sin x
Let's find the derivative;
dy/dx = cos x
Now, Cos 0 = 1
Cos (π/4) = 1/√2
Cos (π/2) = 0
From the above, we can see that as x approaches 0 from (π/2), the value of (cos x) approaches 1. This means it's increasing from 0 to 1.
Thus, the function is strictly increasing on the interval (0, π/2)
Answer:
D. (0, pi/2)
Step-by-step explanation:
If you graph y=sin(X) (I used desmos) then you find that the graph is increasing from 0 to pi/2 :)
Janice wants to find the area of a square tabletop.She uses the formula for the area of a square: A=s2, where s is the length of one side of the square.If s= 3 feet what is the area of the tabltop
Answer:9
Step-by-step explanation:
You said that the areas is one side multiplied by 2. If one side (S) is 3, then 3 x 3 = 9.
Find the slope between the following two points.
(9, 0), (12, -1)
Answer:
[tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]m=\frac{rise}{run}=\frac{-1-0}{12-9}=\frac{-1}{3}=-\frac{1}{3}[/tex]
Hope this helps.
Describe the end behavior of the graph f(x) using limits.
Answer:
um
Step-by-step explanation:
The end behavior of the graph f(x) using limits are
[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]
and
[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]
Option B is the correct answer.
We have,
From the graph,
As the x-value increases, the function y-values goes to -∞.
As the x-value decreases, the function y-values goes to -∞.
Now,
f(x) is the y-value.
The end behavior of the graph f(x) using limits can be represented as,
[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]
and
[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]
Thus,
The end behavior of the graph f(x) using limits are
[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]
and
[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ4
Find the principal. Annual rate of interest= 11% Period=3 years Total interest= 825 rupees Principal rupees
Answer:
I = $ 1,937.50
Step-by-step explanation:
A skydiver falls 60 feet in five seconds. How far does the skydiver fall per
Second
Answer:
12 feet
Step-by-step explanation:
60/6 = 12
Answer:
8 feet per 1 second
(without drag or windcurrents)
Step-by-step explanation:
60÷5=8
The height, hh, of a plant (in inches) ww weeks since it was planted is represented by the equation h=1.2w+3h=1.2w+3. How many weeks ( round up to the nearest whole number) will it take the plant to reach one foot? ( Hint: convert feet to inches.) Answer value
Answer:
It will take 8 weeks for the plant to reach one foot.
Step-by-step explanation:
The equation is:
[tex] h = 1.2w + 3 [/tex]
Where:
h: is the height = 1 foot
w: is the time in weeks =?
We can convert feet to inches as follows:
[tex] 1 feet = 12 inches [/tex]
[tex] h = 1 ft*\frac{12 in}{1 ft} = 12 in [/tex]
Hence, the number of weeks is:
[tex] w = \frac{h - 3}{1.2} = \frac{12 - 3}{1.2} = 7.5 = 8 [/tex]
Therefore, it will take 8 weeks for the plant to reach one foot.
I hope it helps you!
The Montanez family is a family of four people. They have used 3,485.78 gallons of water so far this month. They cannot exceed 7,250.50 gallons per month during drought season. Write an inequality to show how much water just one member of the family can use for the remainder of the month, assuming each family member uses the same amount of water every month.
Answer: yes
Step-by-step explanation:
this month 3485.78/4 = 871.445 gallons per person
Drought month 7250.50/4 = 1812.625
difference 7250.50 - 3485.78 = 3764.72
Find the distance between the points -6.2 and -9.8.Show your work for full credit.
Answer:
it is 3.6
Step-by-step explanation:
it's in the pictures below.
I need help with this geometry
The Hu Family goes out for lunch, and the price of the meal is $53. The sales tax on the meal is 7%, and the family also leaves a 15% tip on the pre-tax amount. What is the total cost of the meal?
PLEASE HELP I WILL MARK BRAINLIEST
Answer:
i think its 64.66
Step-by-step explanation:
07x53=3.71
0.15x53=7.95+53=60.95+3.71=64.66
Answer:
$64.66
Step-by-step explanation:
find the amount of tax 53 x .07 = 3.71
find the amount of the tip 53 x .15 = 7.95
53 + 3.71 + 7.95 = 64.66