Answer:
The length of the interval is of 1.8672.
Step-by-step explanation:
Length of a confidence interval:
Margin of error multiplied by 2.
Confidence interval:
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 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
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.
s=8.57, n=300
[tex]\sigma = 8.25, n = 300[/tex]
Margin of error:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.96\frac{8.25}{\sqrt{300}}[/tex]
[tex]M = 0.9336[/tex]
Length:
2*0.9336 = 1.8672
The length of the interval is of 1.8672.
Together, teammates Pedro and Ricky got 2681 base hits last season. Pedro had 275 more hits than Ricky. How many hits did each player have?
Answer:
R= 1203 P= 1478
Step-by-step explanation:
2681- 275= 2406/2 = 1203+ 275= 1478
tipler stock dropped $5 monday, rosary $3 Tuesday, and rose $7 Wednesday. what was the net change in price of the stock
Answer:
drooped $1
Step-by-step explanation:
first,dropped $5=(-$5)
second,rosary $3=(-$3)
third,rose $7=(+$7)
solution:
(-$5)+(-$3)+(+$7)
=-$5-$3+$7
=-$8+$7
=-$1
the net change in price of the stock was drooped $1 .
The required net change in the price of the stock is -$1.
Given that,
Tipler stock dropped $5 Monday, rosary $3 Tuesday, and rose $7 Wednesday. To determine the net change in the price of the stock
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
On Monday price dropped by $5 = -$5
On Tuesday price dropped by -$3 = -$3
On Wednesday price rose by $7 = +$7
Net = -5 -3 +7
Net = -$1
Thus, the required net change in the price of the stock is -$1.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
Explain and help please
Answer:
Step-by-step explanation:
The Bible uses this same value for pi. Just an irrelevant fact to add to your list of such facts.
pi is about 3
r = 3
C = 2 pi * r
C = 2 * 3 * 3
C = 18
Answer:
The circumference of circle is 18.
Step-by-step explanation:
Given :-
Radius of circle is 3.Value of π is also 3.To Find :-
Circumference of circleFormula Used :-
Circumference of circle = 2 π rWhere,
r, is the radius of circle.
Solution :-
Using Formula
Circumference of circle = 2 π r
substitute the values
Circumference of circle = 2 × 3 × 3
multiply the values
Circumference of circle = 18
Hence, the circumference of circle is 18.
Determine the following information about each value in a list of positive integers. a. Is the value a multiple of 7, 11, or 13? b. Is the sum of the digits odd or even? c. Is the value a prime number?
Hurry plz I got 7 mins
Answer:
5
Step-by-step explanation:
90 ÷ 18 = 5 days. Hope this helps! :)
Answer:
15
Step-by-step explanation:
15=90/60=1.5 as whole is 15
0.088 is more than 0.78, right?
Hi there!
»»————- ★ ————-««
I believe your answer is:
No.
[tex]0.088 < 0.78[/tex]
»»————- ★ ————-««
Here’s why:
0.088 can be described as "eighty-eight thousandths". 0.78 can be described as "seventy-eight hundredths."Thousandths has a lesser value than hundredths. 0.088 is less than 0.78, not greater than.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
1 N 3 4 5 6 7 00 9 10 The fastest that a seahorse can travel is 2,640 feet per hour. What is its top speed in m 0.05 miles per hour 0.2 miles per hour 0.5 miles per hour O 2 miles per hour
Step-by-step explanation:
1 mile=5280 feet
0.5 mile=2640 feet.
The fastest that a seahorse can travel is 2,640 feet per hour. The top speed in miles per hour is 0.5 miles per hour.Can be also.
If the answer is correct plz mark me as brainliest.
Simplify the expression:
w+3w
Answer:
4w
Step-by-step explanation:
1w+3w=4w
Answer:
w+ 3w = 4 w. helpful answer
Disolvemos 45 g de amoniaco en 500 g de
agua. Calcula el porcentaje en masa de la
disolución
it would be photosynthesis because of the flowers
Which point is located on the x-axis of a coordinate grid?
A. (1, 1)
B. (1, 0)
C. (0, 1)
D. (2, 1)
Answer:
I believe it is B
Step-by-step explanation:
Remember - x,y. The 1 was found on the x-axis.
solve the following equations 2p + 3p + 8 - 4 = 54
Please hurry I’ll give brainliest
Solve 4.85 ÷ 5 = ___. 0.94 0.95 0.96 0.97
Answer:
4.85 ÷ 5 = 0.97
hope this helps
For extra fun, groups of student in a class are tasked to create algebraic expression to satisfy the measures of the angles of their triangular picture frame project. If the measure of the angles are as follows:m∠A = 5x - 3, m∠C = 2x + 5, m∠E = 3x - 2, arrange the sides of the frame in increasing order.
don't spam!!
Answer:
Step-by-step explanation:
Sum of all angles of the triangle = 180
∠A + ∠C + ∠E = 180
5x - 3 + 2x +5 + 3x -2 = 180
Combine like terms
5x + 2x + 3x - 3 + 5 - 2 = 180
10x + 0 = 180
10x = 180
Divide both sides by 10
x = 180/10
x = 18
∠A = 5x - 3 = 5*18 - 3 = 90 - 3 = 87
∠C = 2x +5 = 2*18 + 5 = 36 + 5 = 41
∠E = 3x - 2 = 3*18 - 2 = 54 - 2 = 52
Side opposite to smallest angle is small
∠C is smallest. So, AE is smallest side
Next smallest is ∠E. So, AC is the next side
AE < AC < CE
PLEASE HELPPP
Which one is equivalent??
Answer:
the answer is A AND WE LOVE BILLIE
Step-by-step explanation:
Leon tried to solve an equation step by step.
Step-by-step explanation:
in step 2 leon made mistake
OPTION B step 2
[tex] \frac{1}{2} w = 30[/tex]
[tex]w = 30 \times 2[/tex]
[tex]w = 60[/tex]
In the diagram of XYZ, which term describes point ?
х
z
w
Y
O A. Circumcenter
O B. Incenter
O C. Orthocenter
D. Centroid
The sum of two numbers is 24.The difference of their square is 144.what are the two numbers?
Answer:
9 and 16
Step-by-step explanation:
let the two numbers are X and Y
X+Y=24
X^2-Y^2=144
solve simultaneously
» Choose ALL the lines of symmetry for the shape.
Answer:
the first one , one below it and the one beside the one below it
Step-by-step explanation:
Answer:
sorry I don't Know
Find the two square roots of 121 (write answer using the word “and” to separate them)
Answer:
11 and 11
Step-by-step explanation:
brainliest^:)
Answer:
11 i do not think there is a 2nd one unless 1
Step-by-step explanation:
The only one I could think of because It is the positive solution of the equation x to the 2nd power = 121. The number 121 is a perfect square. 1.
4(12+3) distributive property
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{4(12 + 3)}[/tex]
[tex]\large\textsf{= 4(12) + 4(3)}[/tex]
[tex]\large\textsf{4(12) = \bf 48}[/tex]
[tex]\large\textsf{4(3) = \bf 12}[/tex]
[tex]\large\textsf{= 48 + 12}[/tex]
[tex]\large\textsf{= \bf 60}[/tex]
[tex]\boxed{\large\textsf{Answer: \huge 60}}\large\checkmark[/tex]
[tex]\large\text{OR} \downarrow[/tex]
[tex]\large\textsf{4(12 + 3)}[/tex]
[tex]\large\textsf{12 + 3 = \bf 15}[/tex]
[tex]\large\textsf{= 4(15)}[/tex]
[tex]\large\textsf{= \bf 60}[/tex]
[tex]\boxed{\large\textsf{Answer: \huge 60}}\large\checkmark[/tex]
[tex]\boxed{\boxed{\large\textsf{OVERALL \underline{ANSWER}: \huge \bf 60}}}\huge\checkmark[/tex]
[tex]\huge\checkmark\boxed{\boxed{\large\textsf{Or you can say: \huge \bf 48 + 12}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
[tex]4(12 + 3) \\ = 4 \times 12 + 4 \times 3 \\ = 48 + 12 \\ = 60[/tex]
=> Property used = distributive property.
True or false: Is 8.4 equal to 8 hours and 40min? Moreover, What would be the hour and min for 8.9?
Answer:
false and 8 hours and 55 min
Step-by-step explanation:
Answer:
false. 8.9 in the scenario would be 9 hours and 30 minutes
Step-by-step explanation:
using decimals is not an accurate way to measure time.
if it was used, 8.9 would be 8 hours and 90 minutes. However, there are only 60 minutes in an hour, so 8.9 would translate to 9 hours and 30 minutes.
I’ll give brainliest
Answer:
1.5
Step-by-step explanation:
The constant of proportionality is the slope
m= (y2-y1)/(x2-x1)
Pick any two points
m = (12-6)/(8-4)
= 6/4
= 3/2
= 1.5
m = (12-6)/(8-4)
→ 6/4
→ 3/2
→ 1.5
The required answer is 1.5.
Answer this pls. its all about the pythagorean theorem thanks
Answer:
The answer is below
Step-by-step explanation:
A triangle is a shape with three sides and three angles. There are different types of triangles such as isosceles, equilateral, scalene, obtuse, acute and right angled.
In a right angled triangle, the side with the longest length is known as the hypotenuse and this sides is always opposite to the right angle (90 degrees). Pythagoras states that the square of the hypotenuse is equal to the sum of the square of the remaining sides.
a) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 5(3) = 15
u² = h² + b² = 15 + 3² = 24
u = √24
b) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 4(2) = 8
h = √8
c) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 7(7) = 49
h = 7
u² = h² + b² = 7² + 7² = 98
u = √98
t² = h² + a² = 7² + 7²
t = √98
Find the measure of angle 6 if the measure of angle 4 is 65 degrees
Answer:
Step-by-step explanation:
angle 4=angle 6(being alternate interior angle)
65 degree=angle 6
Can someone please help, ty!!
Will mark brainliest!
The sum of the interior angles of a triangle is 180 degrees. Therefore, if we add up all of these angles, they will equal 180.
82 + 55 + x = 180
137 + x = 180
x = 43 degrees
Hope this helps!! :)
Answer:
Step-by-step explanation:
55+82+missing angle=180 degree(sum of interior angle of atriangle is 180 degree)
137+missing angle=180
missing angle=180-137
missing angle=43 degree
therefore ur answer is 43 degree.
The mean useful life of car batteries is 56 months. They have a standard deviation of 6. Assume the useful life of batteries is normally
distributed
a. Calculate the percent of batteries with a useful life of less than 38 months. (Round your answer to the nearest hundredth percent.)
b. Calculate the percent of batteries that will last longer than 68 months. (Round your answer to the nearest hundredth percent.)
a. Percent of batteries
%
b. Percent of batteries
%
Answer:a. 0.13% b. 2.28%
Step-by-step explanation:
Let x denotes the useful life of batteries.
Given: [tex]\mu=56[/tex] months, [tex]\sigma=6[/tex]
Since X is normally distributed.
The probability that batteries with a useful life of less than 38 months
[tex]P(X<38)=P(\frac{X-\mu}{\sigma}<\frac{38-56}{6})\\\\=P(Z<-3) \ \ \ [Z=\frac{X-\mu}{\sigma}]\\\\=1-P(Z<3) \\\\=1- 0.9987\\\\=0.0013[/tex]
The percent of batteries with a useful life of less than 38 months =0.13%
The probability that batteries will last longer than 68 months
[tex]P(X>68)=P(\frac{X-\mu}{\sigma}>\frac{68-56}{6})\\\\=P(Z>2) \ \ \ [Z=\frac{X-\mu}{\sigma}]\\\\=1-P(Z<2)\\\\=1-0.9772=0.0228[/tex]
The percent of batteries that will last longer than 68 months =2.28%
A 15-inch candle is lit and burns at a constant rate of 1.2 inches per hour. Let t represent the number of hours since the candle was lit, and uppose f is a function such that f(t) represents the remaining length of the candle (in inches) t hours after it was lit.
a. Write a function formula for f f(t)- [Preview] syntax error #
b. What is the domain of f relative to this contex? Enter your answer as an interval. # Preview, no answer given
c. What is the range of f relative to this context? Enter your answer as an interval *Preview no answer given
d. Solve f(t) 3.6 for it. 算 Preview
e. What does your solution in part (d) represent in this context? Select all that apply. The length of the candle (in inches) 3.6 hours after it was lit. How many bhous since the candle was lir wen i is36 mches loe OHow long it takes for the candle to burn out.
Answer:
[tex]f(t) = 15 -1.2t[/tex]
[tex]0 \le t \le 12.5[/tex]
[tex]15 \ge f(t)t \ge 0[/tex]
The length of the candle (in inches) 3.6 hours after it was lit is 0.95 inches
Step-by-step explanation:
Given
[tex]a = 15[/tex] ---- candle length
[tex]r =- 1.2[/tex] --- rate (it is negative because the candle length reduces)
Solving (a): The function, f(t)
This is calculated as:
[tex]f(t) = a + rt[/tex]
So, we have:
[tex]f(t) = 15 + -1.2 * t[/tex]
[tex]f(t) = 15 -1.2t[/tex]
Solving (b): The domain
The domain, in this case, represents time from 0 till the candle burns out.
Set [tex]f(t) = 0[/tex] to calculate the time the candle burns out
[tex]f(t) = 15 -1.2t[/tex]
[tex]0 = 15 - 1.2t[/tex]
Collect like terms.
[tex]1.2t = 15[/tex]
Solve for t
[tex]t = 15/1,2[/tex]
[tex]t = 12.5[/tex]
Hence, the domain is: [tex]0 \le t \le 12.5[/tex]
Solving (c): The range
The domain, in this case, represents the candle height from 15 till the candle burns out (0 inches)
Hence, the range is: [tex]15 \ge f(t)t \ge 0[/tex]
Solving (d): [tex]f(t) = 3.6[/tex]
Recall that:[tex]f(t) = 15 -1.2t[/tex]
Sp, we have
[tex]15 - 1.2t - 3.6[/tex]
Collect like terms
[tex]12t =15 -3.6[/tex]
[tex]12t =11.4[/tex]
Divide by 12
[tex]t =0.95[/tex]
The expression 0.75(1.06p) represents the total amount Jaxon paid for a jacket
originally priced p dollars. Which changes to the original price could have resulted in
this expression?
Answer:
0.75 could be a 25% discount. 1.06 could be a sales tax.
Step-by-step explanation:
If p is the original price, then 1.06p could be the amount after a 6% tax is include. Then multiplying by 0.75 could indicate a 25% discount (if you don't pay 25% = 0.25, then you do pay 75% = 0.75).
In case you're wondering about discounting first then charging tax, the result is the same because the multiplication can be done in either order.
0.75(1.06p) = 1.06(0.75p)
simon has a quarter, dime, nickel, and penny in his pocket. He wants to buy a snack at the canteen that costs 40¢. If he pulls out one coin at a time, what is the probability that the first 3 coins that are equal to $0.40?
Answer:
1/4
Step-by-step explanation:
Q=event of pulling a quarter (25 cents)
D=event of pulling a dime (10 cents)
N=event of pulling a nickel (5 cents)
P=event of pulling a penny (1 cent)
Simon needs to pull out the penny last, so that the first three coins add up to $0.40.
We assume the coins are wrapped so it is a random choice.
For the first coin, probability of NOT pulling a penny is 3/4,
similarly, for the second coin, probability of NOT pulling a penny is 2/3,
for the third coin, probability of NOT pulling a penny is 1/2,
For all this to happen, we use the multiplication rule
P(3 coins but no penny) = (3/4*2/3*1/2) = 1/4