A confidence interval for the true mean SAT score of the graduating high school seniors will be (496; 536)
What is a confidence interval?A confidence interval (CI) is a range of estimates for an unknown parameter in frequentist statistics.
Mean score ± margin of error
Margin of Error = 20
Mean SAT score = 516
Hence,the confidence interval will be:-
= 516 ± 20
Lower boundary = 516 - 20 = 496
Upper boundary = 516 + 20 = 536
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Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = 5x/6 +5
Step-by-step explanation:
Points (-6,0) and (6,10)
Getting the slope
m = 10-0/6- (-6)
m=10/12
m=5/6
Solving for the equation:
where (-6,0) :
y-y1=m (x-x1)
y-0 = 5/6 (x- (-6))
y = 5/6 (x-+6)
y = 5x/6 +5
Answer:
y = 5x/6 + 6
Step-by-step explanation:
equation of a line is y = mx +b
m is the slope.
m = (y2- y1)/(x2-x1)
if we choose any two points in the line of the image..
p1 (6,10) -> x2 is 6, y2 is 10
p2 (0,5) -> x1 is 0, y2 is 5
m = (10-5)/(6-0)
m = (5)/(6)
m = 5/6
b is calculated when x = 0. (Where the line intercepts the y axis), Looking at the line in the image I can see that y = 6 when x = 0, so b = 6.
We have then
y = mx +b
y = (5/6)x + 6
y = 5x/6 + 6
Find the area of the figure. Round to the nearest hundredth where necessary.
55 mm
32.5 mm
12.5 mm
12.5 mm
HELP ASAP!! AND PLEASE EXPLAIN! The pyramid has a square base of 230 meters on each side and a height of 147 meters. Find the volume of the pyramid if the slant height is 186.63 meters.
Answer:
2,592,100 m³
Step-by-step explanation:
Volume of Square Pyramid
V = 1/3a²hV = 1/3(230)²(147)V = 49 x 52900V = 2,592,100 m³The probabilities for four different simple events are given. Of the four, which is LEAST LIKELY to occur?
Question 1 options:
0.01
0.35
0.5
0.9
Answer:
Step-by-step explanation:
We are supposed to find the least likely, which means we are looking for the smallest number.
.9 is the largest
.5 is next
.35 is second to smallest
A is the answer 0.01
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Order the following from least to greatest.
0.98, 3/5, 4, 1/2, 0.4
Answer:
.4, 1/2, 3/5, .98, 4
Step-by-step explanation:
give me brainliest please
If Sam invested $3,000 and he earned $300 over six months, the return is _____.
six months
$3,300
$300
$3,000
Answer:
ROI = 10.00%
Step-by-step explanation:
Investment Gain = $300.00
ROI = 10.00%
Annualized ROI = 21.00%
Investment Length = 0.50 years
512=-4(-2)^n-1 find n in geometric sequence
Answer:
n = 8
Step-by-step explanation:
512/-4 = -128
-2^? equals -128? Has to be odd since it's negative
-2^1 = -2
-2^3 = -8
-2^5 = -32
-2^7 = -128
But it's -2^n-1 = -128 so you have to add 1
7+1 = 8
So n=8
Answer:
n = 8
Step-by-step explanation:
Rearrange the equation to find n:
512/-4 = [tex](-2)^{n-1}[/tex]
-128 = [tex](-2)^{n-1}[/tex]
[tex](-2)^{7}[/tex] = -128
So, n-1 = 7
n = 8
Wrote 7/19 as a percent round to the nearest tenth of a percent
Answer:
36.8
Step-by-step explanation:
Hope this should do the trick if you can find this answer; 36.8.
Students measured the length of different earthworms using centimeters (cm).The lengths were:
14 cm, 12.5 cm, 13 cm, 18 cm, 17 cm, 16.75 cm, 19 cm, 12.5 cm, 15 cm
If the students were asked to describe the difference in length of the worms, which answer would be best and why? (5 points)
Group of answer choices
6.5 cm; this is found by determining the range which is found by finding the difference between the greatest length and the least length
12.5 cm; this is found by determining the mode which is found by finding the number that occurs most frequently in a data set
15 cm; this is found by determining the median which is found by ordering the numbers from least to greatest and finding the middle number
15.3 cm; this is found by determining the mean which is found by finding the sum of all of the lengths and dividing by the total number of worms
The correct option regarding the difference in the length of the worms is given by:
6.5 cm; this is found by determining the range which is found by finding the difference between the greatest length and the least length.
What is the range of a data-set?It is given by the difference of the highest value by the lowest value in the data-set.
In this problem, the difference is exactly what we want to estimate, hence we need to consider all measures(which removes the mode and the median), and find the largest lowest and the highest, which is the range, hence:
19 cm - 12.5 cm = 6.5 cm.
Which means that the correct option is given by:
6.5 cm; this is found by determining the range which is found by finding the difference between the greatest length and the least length.
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A square pyramid with a side length of 5 cm and a slant height 7 cm has a total surface area of ...?
Step-by-step explanation:
there are two types of collective internal and external
Question 2 of 10
The expression √3x is equivalent to the expression x√3.
Answer:
See below
Step-by-step explanation:
[tex]\sqrt{3}[/tex] x IS equivalent to x [tex]\sqrt{3}[/tex]
[tex]\sqrt{3x}[/tex] is NOT equivalent to x [tex]\sqrt{3}[/tex]
A packet of biscuits is shared between two people so that
one person gets three times as many as the other. Write
down the ratio involved. If there are 20 biscuits in the
packet, how many does each person get?
Answer:
Ratio 3 : 1
First person 5 biscuits
Second person 15 biscuits
Step-by-step explanation:
“one person gets three times as many as the other” means “the ratio is 3 to 1 or just 3 : 1”
………………………
Let x be the number of biscuits that the first person got then the second person should get 3x biscuits.
It’s clear that we have to solve this equation:
x + 3x = 20
Solving:
x + 3x = 20
⇔ 4x = 20
⇔ x = 20/4 = 5
Final answer:
First person: 5 biscuits
Second person: 3×5 = 15 biscuits
Margot has 8 kilograms of apples.how many liters Of apple juice can Margot make. How do l do this?????
Answer:
so about 4?
Step-by-step explanation:
1 kilogram = 1,000 grams
2 kilograms = 2 times 1,000 which equals 2,000 grams
2,000 grams makes one liter
uhh this is just an educated guess...
Researchers wanted to study if having a long beak is related to flight in birds. They surveyed a total of 34 birds. The data are shown in the contingency table below. What is the odds ratio for birds having long beaks being able to fly against birds not having long beaks being able to fly? Round your answer to two decimal places.
Long beakNot a long beakTotalFlies11719Does not fly31315Total142034
The odds ratio for birds having long beaks being able to fly against birds not having long beaks being able to fly is 3.76.
What is an odds ratio?An odds ratio is a measure of the strength of an association with the exposure and outcome.
The odds ratio can be calculated by dividing the odds of the first group (exposure) by the odds of the second group (outcome).
Data and Calculations:Contingency Table
Flies Does not fly Total
Long beak 11 7 19
Not a long beak 3 13 15
Total 14 20 34
Probability of long beaks flying = 0.79 (1/14)
Probability of not having long beaks flying = 0.21 (3/14)
Odds ratio = 3.76 (0.79/0.21)
Thus, the odds ratio for birds having long beaks being able to fly against birds not having long beaks being able to fly is 3.76, showing greater odds of association.
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Answer:
Step-by-step explanation:
6.81
Need help with this topic
A right triangle has a 120° angle and 190° angle. What is the measure of the third angle?
Answer:
i measures of the third angle is 18degrees
solve the expression 8+(9x1/3) divided by 3
Answer:
9
Step-by-step explanation:
8+(9x1/3) /3
=8+3/3
=8+1
=9
negative using self reported delinquency
Answer:
Your question does not make sence
If Mrs. Hamm divides 7 pounds of potting soil equally into three flower pots, what is the weight of potting soil in one flower pot? A) 3 7 pound B) 7 3 pounds C) 3 1 7 pounds D) 7 1 3 pounds
The weight of potting soil in one flower pot is 7/3 pounds or 2.34 pounds option (B) is correct.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have total weight of the potting soil = 7 pounds
It is divided equally into three flower pots.
So each pot contains = 7/3 potting soil
Thus, the weight of potting soil in one flower pot is 7/3 pounds or 2.34 pounds option (B) is correct.
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A triangle has 2 angles that each measure 79º.
What kind of triangle is it?
O A. isosceles triangle
OB. equiangular triangle
OC. obtuse triangle
OD. right triangle
which value make the inequality c+10<17
Answer:
c < 7
Step-by-step explanation:
Given inequality:
c + 10 < 17
Subtract 10 from both sides:
⇒ c + 10 - 10 < 17 - 10
⇒ c < 7
Let's solve
c+10<17c<17-10c<7The solution set is
(-oo,7)
URGENT! please answer. i'll give 5 stars + brainilest if correct
To estimate the height of a mountain, two students find the angle of elevation from a point (at ground level)
b
=
560
meters from the base of the mountain to the top of the mountain is
β
=
51
∘
. The students then walk
a
=
1850
meters straight back and measure the angle of elevation to now be
α
=
34
∘
. If we assume that the ground is level, use this information to estimate the height of the mountain.
The height of the mountain is
_____ meters.
Answer:
times the nimbers
Step-by-step explanation:
240
Please assist with a question I am stuck on.
The two linear equations in this problem are:
a) d(t) = (3.1 mi/h)*tb) t(d) = d/(3.1 mi/h).How to find the linear equations?
a) First, we know the relation:
distance = speed*time.
In this case, we know that the speed is 3.1 miles per hour, so if the runner runs for t hours, we can write:
d(t) = (3.1 mi/h)*t
This is the linear equation that gives the distance as a function of time.
b) Now we want to get the time as a function of the distance, so we just need to isolate t,
t(d) = d/(3.1 mi/h).
This linear equation gives the time as a function of the distance d.
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The temperature fell 3.25 degrees every hour. Find the change in temperature after 5 hours
Answer:
The temperature would fall by 16.25°
Step-by-step explanation:
If it's 3.25 every hour and there are 5 hours total just multiply. 3.25 x 5 = 16.25.
PLSS HELP ME WITH THIS !! 20 POINTSS
Answer: constant of proportionality = 2.5
What is the slope of the line?
Answer:
slope = 2 / 3
Step-by-step explanation:
slope = rise / run
rise = 2
run = 3
slope = 2 / 3
Which of the sets of ordered pairs represents a function? (5 points) A = {(2, −2), (5, −5), (−2, 2), (−5, 5)} B = {(4, 2), (4, −2), (9, 3), (9, −3)} Group of answer choices Only A Only B Both A and B Neither A nor B
Answer:
A
Step-by-step explanation:
Stanley walks a round-trip of 1.75 miles to work every day. How many miles will he walk in 5.5 days
A. 9.625 miles
B. 96.25 miles
C. 962.5 miles
D. 9625 miles
Multiply miles per day by number of days
5.5 x 1.75 = 9.625
answer: A. 9.625 miles
whats the next term of arithmetic sequence 24,16,8,0
Answer:
-8, 16, ...
Step-by-step explanation:
You are subtracting 8 everytime. Therefore, you would go into negatives from here.
Answer:
24, 16 , 8 , 0
\/ \/ \/
-8 -8 -8
Step-by-step explanation:
for you to get 8 you subtract the first term with the second term
15. A cone has a radius of 9 cm and slant height of 12 cm. Find its surface area.
A. 593.46 cm²
B. 693.46 cm²
C. 793.46 cm²
D. 893.46 cm²
Answer:
594
Step-by-step explanation:
A=πrl+πr²
(22/7×9×12)+(22/7×9²)
=594