Answer:
85% level of the confidence interval is
(26.337, 26.662)
Step-by-step explanation:
Explanation:-
Given the size of the sample 'n' = 295
Mean of the sample x⁻ = 26.5
The Standard deviation of the Population = 2.7
85% level of the confidence interval is determined by
[tex](x^{-} - Z_{0.15} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.15} \frac{S.D}{\sqrt{n} })[/tex]
Critical value Z₀.₁₅ = 1.036
85% level of the confidence interval is determined by
[tex](x^{-} - Z_{0.15} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.15} \frac{S.D}{\sqrt{n} })[/tex]
[tex](26.9 -1.036 \frac{2.7}{\sqrt{295} } , 26.5 + 1.036 \frac{2.7}{\sqrt{295} })[/tex]
( 26.5 - 0.1628 , 26.5+0.1628)
(26.3372,26.6628)
Oliver surveyed 880 of the students in his school about their favorite color. Students
could choose between red and blue. 35% said their favorite color was blue. How many
students' favorite color was red?
Answer:
572
Step-by-step explanation:
10%=88
5%=44
30%=264
35%=308= favourite colour blue
880-308=572= favourite colour red
A toy jet is 4 inches in length. And it's made using the scale 1 inch = 12.25 feet. What is the length of the actual jet?
Answer:
It is 49
Step-by-step explanation:
multiply 12.25 by 4 since 1 inch is 12.25 and 4 inches times 12.25 is 49
What are the angles of 1 and 2
Angle BAC and angle FAC are examples of what type of angle pair?
Angle BCE and Angle DCA are examples of what type of angle pair?
geometry texts refer to an angle with a measure of 180° as a straight angle. In Figure 12 , ∠ BAC is a straight angle.
Step-by-step explanation:
Grapes cost $2.70 per pound. You buy 2.5 pounds of grapes and give the cashier $10. How much change do you receive
Answer:
$3.25
Step-by-step explanation:
The grapes costs $2.70 per pound but you're buying 2.5 pounds so take $2.70 x 2.5 = $6.75. Now u just take $10 - $6.75 which equals $3.25 and thats ur answer.
Answer:
You receive 3.25 cash back.
Step-by-step explanation:
2.70 x 2.5 = 6.75
6.75 + ? = 10
A = 3.25
fill in the boxes to show two ways you can find 8+6
Answer:
(4+3) + (4+3) and (7-1) + (9-1)
Step-by-step explanation:
You can always break it down in half to make it easier.
Triangle ABC, shown in the diagram below, is an isosceles triangle
If the measure of <ABC is 42.5°, what is the measure of <ABC?
Answer:
A. 42.5
Step-by-step explanation:
The triangle shown is an isosceles triangle. An isosceles triangle haas two of its sides and base angles equal. Hence;
<ACB = <ABC (Base angles are equal)
Given
<ACB = 42.5°
Required
<ABC
According to the law above which says <ACB = <ABC , hence <ABC is also equal to 42.5°
if your dogs heart rate is 90 times per minute how many times would it beat in an hour?
Answer:5400
Step-by-step explanation: 1 hour is 60 minutes, so 90 * 60 = 5400
Answer:
90 x 60 = 5,400 beats per hour i think
unless the dog dies, then its just sad
Usually Holly leaves home to school at 9:00, however today she left home 20 minutes later. In order to be at school on time she increased her usual speed by 20% and still was at school 15 minutes later than usual. What is her usual time from home to school
Answer:
Her usual time from home to school is 30 minutes
Step-by-step explanation:
At any point in time;
distance = speed * time
Here, we want to calculate the normal time she spent going from home to school
Let the normal time be x minutes
And the normal speed be t m/min
Today, she increased her speed by 20%
Her speed today will be t + 20/100 * t =
1.2t m/min
Her distance from how to school normally is
xt meters
Now what this means is that, at the increased speed, she was able to get to school 5 minutes earlier
What we are saying is although, she lost 20 minutes initially, she was able to beat down the lateness by 5 minutes
So, the time spent on her increased speed journey is;
(x-5) minutes
At any point in time, the distance will be equal;
Thus, mathematically;
xt = 1.2t(x-5)
xt = 1.2xt - 6t
6t = 1.2xt-xt
6t = 0.2xt
t cancels out
0.2x = 6
x = 6/0.2
x = 30 minutes
Which ratios form a proportion?
A) 4/10 and 10/25
B) 4/9 and 9/4
C) 3/5 and 9/25
D) 4/11 and 6/13
The outdoor temperature is 4 degrees below 0, or
.
-4 0 4
The indoor temperature is 72 degrees above 0, or
.
-72 0 72
Answer: The outdoor temperature is 4 degrees below 0 or -4 degrees.
The indoor temperature is 72 degrees above 0 or 72 degrees.
Step-by-step explanation:
We use negative integer to represent loss, below , or withdrawal etc.
On the other hand we use positive integers to show gain , above , deposit etc.
Given statement : The outdoor temperature is 4 degrees below 0.
So we will represent it by -4 degrees.
The indoor temperature is 72 degrees above 0.
So we will represent it by +72 or 72 degrees.
Answer:
The outdoor temperature is 4 degrees below 0, or
✔ –4
.
The indoor temperature is 72 degrees above 0, or
✔ 72
.
Step-by-step explanation:
Edge instruction
Steps to answerjamie just bought a box
Answer:
Steps:
Step-by-step explanation:
1: Jamie had the money
2: Jamie went to the store
3: Jamie picked out the box
4: Jamie bought the box
Hope this helped uwu
Garth has a summer job and earns $9.32 per hour. One week, he works 16 34 hours. He deposits $150 in a bank and decides to use the rest of the money to buy raffle tickets. Each raffle ticket costs $0.50. How many raffle tickets can Garth buy?
Answer:
12 ticketsStep-by-step explanation:
Earning = $9.32 per hourWork hours = 16 3/4 = 16.75Earning in week:
$9.32*16.75 = $156.11Remaining money after he deposits $150:
$156.11 - $150 = $6.11How many raffle tickets can be bought:
$6.11/$0.50 = 12 and $0.11 remainsAnswer:
12 tickets
Step-by-step explanation:
PLEASE HELP! GIVEE ME THE 14 ANSWERS FOR THIS FOR BRAINLIEST
Answer:
Step-by-step explanation:
oh boy
1) 9 < 16
2) -4 < 5
3) 18 > -19
4) -38 < -16
5) 6 > 4
6) -14 > -25
7) -45 > -55
8) -2 > -10
9) -4, -1, 1, 3, 6
10) -15, -13, -5, 8
11) -9, -6, -5, -1, 0
12) -4, -2, 1, 3
13) -10, -9, 7, 8, 11
14) -33, -25, -14, -4, 7
hope this helps <3
What is the value of this expression 3x[(7+8)x2+6]
Answer:
96 or 108
Step-by-step explanatio
The lengths of a professor's classes has a continuous uniform distribution between 49.29 min and 55.55 min. If one such class is randomly selected, find P54
Answer:
52.6704
Step-by-step explanation:
The lengths of a professor's classes has a continuous uniform distribution between 49.29 min and 55.55 min
Let x = 49.29, y=55.55
Percentile(P) = 54/100 = 0.54
P54 = x+(y-x)p
P54 = 49.29 + (55.55-49.29)*0.54
P54 = 49.29 + 6.26*0.54
P54 = 49.29 + 3.3804
P54 = 52.6704
What is the solution for x divided by 9>4
Answer:
Step-by-step explanation:
x > 36
Answer:
.
Step-by-step explanation:
.
The areas of two similar triangles are 18cm^2 and 8cm^2. One of the sides of the first triangle is 4.5cm. What is the length of the corresponding side of the other triangle? Please answer ASAP!!! Thank you!!!
Answer:
3 cmStep-by-step explanation:
The area is the product of two dimensions, therefore the scale factor is:
A/A' = (b*r*h*r)/(b*h) = r²r² = 18/8r = √9/4 = 3/2 = 1.5The length of the corresponding side will be:
a/a' = ra' = a/ra' = 4.5 / 1.5 a' = 3 cmNeed help 25 points image below
Answer:
Brooks answer is incorrect because he should not shift the brackets to other numbers. First he should distribute number 2 to be multiplied to each number inside the bracket
Can anyone help me with this thank you :))
Answer:17
Step-by-step explanation:
5w + 2
5(3) + 2
15 + 2
17
95°
60°
29
o
X =
Plzzzz I need this
Answer:
x=95
Step-by-step explanation:
They are vertical angles
a manufacturer says that the diagonal measurement of a laptop computer is 16 inches. Find the relative error of this measurement to the nearest tenth.
A. 0.6%
B.1.6%
C.3.1%
D.6.3%
Answer:
As this is incomplete, it lacks the value of actual error.
Here, we do not know the actual value. so let's assume it is 1 inch
Relative Error = 6.25 % ≈ 6.3% = D
Step-by-step explanation:
As this is incomplete, it lacks the value of actual error.
We are asked to calculate the relative of the measurement.
Relative error formula = Actual error/Measurement x 100
Here, we do not know the actual value. so let's assume it is 1 inch
Actual value = 1 inch
Measurement = 16 inch
Relative Error = 1/16 x 100
Relative Error = 6.25 % ≈ 6.3% = D
D. 6.3%
A publisher reports that 55% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 280 found that 51% of the readers owned a laptop. Make the decision to reject or fail to reject the null hypothesis at the 0.05 level.
Answer:
We fail to reject the null hypothesis, we accept H₀
Step-by-step explanation:
Population proportion p₀ = 55 % p₀ = 0,55
Sample size n = 280
Sample mean p = 51 % p = 0,51 q = 0,49
n*p and n*q are both bigger than 10 therefore we can approximate the binomial distribution to a normal distribution
Test Hypothesis
Null Hypothesis H₀ p = p₀
Alternative Hypothesis Hₐ p ≠ p₀
Significance level is α = 0,05 but we have a two-tail test then
α/2 = 0,025
z(c) = - 1,96
Computing z(s)
z(s) = ( p - p₀ ) / √(p*q)/n
z(s) = ( 0,51 - 0,55 ) / √(0,51*0,49)/280
z(s) = - 0,04 * 16,73 / 0,5
z(s) = - 1,34
Comparing
z(s) and z(c)
- 1,34 < - 1,96
| z(s) | < | z(c)|
Then z(s) is in the acceptance region, we accept H₀
Find the missing exponent in each expression
Answer:
See below.
Step-by-step explanation:
Multiplying terms with exponents make the exponents add together.
13.) x² · x⁵ = x⁷
14.) b⁵ · b³ = b⁸
15.) y⁴ · y⁷ = y¹¹
16.) m⁴ · m¹ = m⁵
PLEASE I REALLY NEED YOUR HELPPPP!!!!!!!!!!!!1
Answer:
Step-by-step explanation:
11+20+4=35
11/35 red
20/35 or 4/7 yellow
4/35 blue
im stuck on the second sorry
Step-by-step explanation:
wjwjajwjwjjajawkakkwwmwmw..wllaa
If you take out a loan for $4,000 and you will owe $4,920 after 2 years, what is the rate of simple interest? Express your answer as a percentage rounded to the nearest tenth of a percent if necessary, but do not include the percent sign.
Answer:
11.5
Step-by-step explanation:
Answer:
11.5
Step-by-step explanation:
you have to use this equation to solve it [r = (1/t)(A/P - 1)] and basically just plug the numbers in to get 11.5. (you could also use one of those online calculators)
r = (1/2)((4920/4000) - 1) = 0.115
r = 0.115
An air conditioning system can circulate 420 cubic feet of air per minute. How many cubic yards of air can it circulate per minute?
Answer:
15.5556 cubic yards
Step-by-step explanation:
A yard is equal to three feet. Divide the volume value by 27 (3 cubed).
Complete the ratio table for Car A.
Answer:
The answer for miles driven is 100 for the first blank, 400 for the second blank, and 600 for the third blank. As you can see, that is how the pattern goes. The blank for Gallons of gas one is 12, and the blank for gallons of gas two is 20.
Step-by-step explanation:
Help please...................
Answer:
7 1/8
Step-by-step explanation:
4 + 2 = 6
6/8 + 3/8 = 9/8 or 1 1/8
1 1/8 + 6 = 7 1/8
Find all solutions to the equation. cos x = - 1/2
Answer:
[tex]x = 2\pi /3 + 2\pi n\\x= 4\pi /3 + 2\pi n[/tex]
Step-by-step explanation:
Radian: x = 2\pi /3 + 2\pi n\\x= 4\pi /3 + 2\pi n
Degree: x = 120 + 360n , x = 240 + 360n
(13 + 4i) + n = 0
What is n?
Answer:
-13-4i
Step-by-step explanation:
(13+4i)+n=0
n=-(13+4i)
n=-13-4i