The test statistic for the difference between the means is 2.22.
How to determine test statistics?To determine the test statistic for the difference between the means of two independent populations, use the two-sample t-test:
t = (x₁ - x₂) / √[(σ₁² /n₁) + (σ₂² /n₂)]
where x₁ and x₂ = sample means, σ₁ and σ₂ = sample standard deviations, and n₁ and n₂ = sample sizes.
Using the given values:
x₁ = $15.80
x₂ = $15.00
σ₁ = $3.00
σ₂ = $2.25
n₁ = 81
n₂ = 64
Calculate the test statistic as:
t = ($15.80 - $15.00) / √[($3.00²/81) + ($2.25²/64)]
t = 2.22
Therefore, the test statistic for the difference between the means is 2.22.
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Quadrilateral ABCD is a rectangle. The measure of angle CBE is equal to 32°, find the
measure of angle BEC.
Answer:
116 degrees
Step-by-step explanation:
well from the picture we know this is a 45 45 90 style triangle therefore in if CBE is equal to 32 then ECB should also be equal to 32 leaving you with a total number of 64 degrees within the triangle. and in every triangle you must add up the degrees to 180 so if we subtract 64 from 180 we get 116 degrees for BEC
Answer: 116
Step-by-step explanation:
32 + 32 (because the angles are complementary) + 116 = 180!
it says priya's family exchanged 250 dollars for 4,250 pesos. Riya bought a sweater for 510 pesos. how many did the sweater cost?
i really need help wit this pleasee help and show work pleasee
Answer:
4000π cm^2
Step-by-step explanation:
first we change the 1.6m to cm:
1.6m = 160cm
Now we can use the formula:
V = πr^2h
where π is just π, r is the radius (not the diameter) and h is the height
V = π * 5^2 * 160 = 4000π cm
Answer:
Step-by-step explanation:
[tex]\text{They give you the equation for the volume.}\\ \\ V=\pi r^2h\\ \\ \text{You simply need to plug in the values given to you for r and h.}\\ \\ r=10/2=5cm,\ h=1.6m(100cm/m)=160cm\\ \\
V=\pi 5^2(160)\\ \\ V=160(25)\pi\\ \\ V=4000\pi cm^3\\ \\ V\approx 12566.37 cm^3[/tex]
28-3(2+4)+9
With explanation
Answer:
=19
Step-by-step explanation:
28-3*2+4)+9
28-3*6+9
28-18+9
=19
4. Simplify the expression
2(10) + 2(x-4).
(A) 2x + 16
(B) x+12
© 2x + 12
(D) x + 16
Answer:
C. 2x + 12
Step-by-step explanation:
2(10) + 2(x-4)
= 20 + 2x - 8
= 2x + 20 - 8
= 2x + 12
Problem situation:
Janelle is at the movie theater and has $20
to spend.
She spends $8 on a ticket and wants to buy some snacks. Each snack costs $4.99.
How many snacks, x, can Janelle buy?
Inequality that represents this situation:
20 > 8 + 4.99x
Drag each number to show if it is a solution to both the inequality and the problem
situation, to the inequality only, or if it is not a solution.
Answer:
Rewrite so x is on the left side of the inequality.
8 + 4.99x < 20
Move all terms not containing x to the right side of the inequality.
4.99x < 12
Divide each term by 4.99 and simplify.
x < 2.405
The result can be shown in multiple forms.
Inequality Form:
x < 2.405
Interval Notation:
( −∞ , 2.405 )
Step-by-step explanation:
Answer:
Both:
1
2
Inequality Only:
-4
3/4
2.3
Neither:
2.5
plz answer the picture below fast and correctly!
Answer:
a) BOC = 80⁰
b) COD = 60⁰
Step-by-step explanation:
..................
Answer:
BOC is 80 and COD is 60
Step-by-step explanation:
If DOF is 120 you subtract 40 from it because of of AOB then COD is the remaining of 180
find the distance of each the following lines from the origin.
(a),4x_3y=10
b,x_5y+2=0
c,3x+y_7=0
Answer:
Step-by-step explanation:
3x+y−7=0 and x+2y+9=0
write in the form y=mx+c
i.e.y=−3x+7,y=
2
−x
−
2
9
∴m
1
=−3 and m
2
∓−
2
1
tan(A−B)=
∣
∣
∣
∣
∣
1+tanAtanB
tanA−tanB
∣
∣
∣
∣
∣
∣
∣
∣
∣
∣
1+(−3)(−y
2
)
−3−(−y
2
)
∣
∣
∣
∣
∣
=
∣
∣
∣
∣
∣
5/2
−5/2
∣
∣
∣
∣
∣
=1
∴ Angle b/w then is tan
−1
(1)=45
∘
=
4
π
Can somebody help me out ? Please
Answer:
52 sq mm
Step-by-step explanation:
you can break it into a long rectangle in the middle with dimensions of 2(6+8) or 2(14) = 28 sq mm
the triangle on the bottom has a base of (8-4) x height of 3, which gives 6 sq mm (you have to divide by 2)
the upper left rectangle is 6 x 3 = 18 sq mm
add: 28 + 6 + 18 = 52
8% of x is 20.
Plz help
Answer: 250 im not sure if its correct though
Step-by-step explanation: 8% = 8/100
8 /100 × x = 20
Multiplying both sides by 100 and dividing both sides by 8,
we have x = 20 × 100 /8
x = 250
If you are using a calculator, simply enter 20×100÷8, which will give you the answer.
Mariana gets $15 per hour working at McDonald's and Jayvon gets $15 per hour as well. Jayvon had $50 in the
bank to start. After how many weeks will Jayvon and Mariana have the same amount of money in their bank
accounts?
Answer:
What r the options?
Step-by-step explanation:
Please help I'm giving 50 points I don't have time to do assignment as of now so can someone do me the favor of doing it?
Answer:
Step-by-step explanation:
1. Not a function
2. Function
3. Function
4. Not a function
5. Not a function
6. Function
7. Function
8. Not a Function
9. Function
10. Not a Function
Answer:
1. Not a function
2. A function
3. A function
4. Not a function
5. Not a function
6. A function
7. A function
8. Not a function
9. A function
10. Not a function
Step-by-step explanation:
The only rule for a relationship to be a function is...
Only ONE output for ONE input
1. There is more than one output for one input
2. Each input has only one output
3. Each input has only one output
4. There is more than one output for one input
5. There is more than one output for one input
6. Each input has only one output
7. Each input has only one output
8. There is more than one output for one input
9. Each input has only one output
10. There is more than one output for one input
Hope this helps :)
Let me know if there are any mistakes!!
Solve for p.
16p = 160
Answer
160 divided by 16 = 10
Answer: 16p=160:
P = 10Step-by-step explanation:
If you times by ten at any time then just add a zero to the end. So just add a zero to 16 to make it 160
In this case your going to solve it like this:
160 / 16 = 10Simplify (2/3 + 1/6).
Write the sum in the simplest form.
Find the value of x.
2x
fi
80
27
60
x = [?]
Enter
the answer is x=18
hope that helped^^
In this figure, angles R and S are complementary. Find the measure of angle S.
S
62°
R
PLEASE HELP ASAP
Answer:
Angle S is 28 degrees.
Step-by-step explanation:
You know angle R is 62 degrees and that angle Q is 90 degrees because the angle is marked by a teeny square (as I like to call it). You ten can add these two angles together and you will get the angle of 152 degrees. And as you should know that all angles of a triangle added together are 180 degrees you just take 180 degrees and subtract it with the two known angles added together. Thus you know that the final answer to S is 28 degrees.
hey hons, i'd love some help here if you could take a look and see if you could help i'd be grateful! <33333
Step-by-step explanation:
A function is a rule that relates how one quantity depends on other quantities
Please helppppp!!!!!!
Answer:
$7.44
Step-by-step explanation:
4.96/8= .62 per ounce
.62 x 12 = $7.44
2x+3y=1470 changed to slope intercept form, write a description which is clear precise and correct of how to graph the line using the slope intercept method,changes equation to to function notation and explains clearly what the graph of the equation represents. graph the equation and labels the intercept correctly. Write at least 3 sentences explaining how the graphs of the two equations are the same and how they are different.
Answer:
y= 490 - 2x
Step-by-step explanation:
Answer: Do I get brainliest if I try? 7 = 490 - 2x
Step-by-step explanation:
write : what’s the algebraic expression for the difference of 9 and x
Answer:
9-x
Step-by-step explanation:
ez dub
Answer:
9-x
Step-by-step explanation:
the difference of (tells you to subtract) 9 and x (9-x)
hope this helps have a blessed
PLEASE ANSWERRRRRRRRRRRRRRRRRRRRRRRRR
Sara and 3 of her friends went to lunch one day. Each person paid for her own lunch, but they agreed to split the tip. If the tip amount was 15% of the total, and the 4 lunches totaled $60, what was the portion of each person’s tip amount?
Answer:
Step-by-step equation:
15% of 60 is nine.
Percentage is equivalent to the portion of a quantity present in the whole. The portion of each person’s tip amount shared by Sara and 3 of her friends is $2.65.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
To convert percentage into a fraction it is divided by 100.
Given that,
The amount of tip is 15% of the total amount A.
The total amount of 4 lunches = $60.
As per the question, the total amount can be written as,
15% of A = A - 60
=> 15 / 100 × A = A - 60
=> A - (3 / 20) × A = 60
=> A - (3 / 20) × A = 60
=> (17 / 20) × A = 60
=> A = (60 × 20) / 17
=> A = 70.58
Now, the total amount of tip is,
15% of 70.58
(15 / 100) × 70.58 = 10.58
The tip shared by each friend = 10.58 ÷ 4
= 2.65
Hence, the portion of each person’s tip amount is $2.65.
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What is 38 times 4 plus the square root of 30
Answer:157.47722557
Step-by-step explanation:
Can someone help me with this problem! I WILL GIVE A BRAINIEST!!! I need it asap PLEASE.
Answer:
(
−
1
)
(
3
2
+
−
6
)
Step-by-step explanation:
B. Decide whether each quantity is constant or variable
1. The number of eggs in a dozen. 2*12 = 24 eggs
.
2. The number of a person's heartbeat per minute. 12d
3. The number of minutes in an hour.
4. The length of a meter.
5. The number of enrollees in your school each year.
maayos na sagot po...
Answer:
ituturo ko ang sagot pero follow me muna sa brainly
HELP I NEED HELP ASAP
Answer:
I think the answer is letter C
4(5.8 - 9x) + 8.2 + 22x
Answer:
157 - 70x
—————————
5
Step-by-step explanation:
Answer:
31.4 - 14x
Step-by-step explanation:
4(5.8 - 9x) = 23.2 - 36x
23.2 - 36x + 8.2 + 22x
23.2 + 8.2 - 36x + 22x
only add/subtract LIKE terms
31.4 - 14x
2(6x + 1) - 4(x - 5) = -2
Answer:
x=−3
Step-by-step explanation:
2(6x+1)−4(x−5)=−2
Step 1: Simplify both sides of the equation.
2(6x+1)−4(x−5)=−2
(2)(6x)+(2)(1)+(−4)(x)+(−4)(−5)=−2(Distribute)
12x+2+−4x+20=−2
(12x+−4x)+(2+20)=−2(Combine Like Terms)
8x+22=−2
8x+22=−2
Step 2: Subtract 22 from both sides.
8x+22−22=−2−22
8x=−24
Step 3: Divide both sides by 8.
8x/8=−24/8
Jaden is saving money to buy a bike that costs $290. He has saved $140 so far. He plans on saving $25 each week. Write and solve an equation to determine in how many weeks (identify the question) Jaden will have enough money to buy the bike.
What does the variable in question 4a represent?
Answer:
25w+140=290
He will have enough money in 6 weeks
w represents the amount of weeks
Step-by-step explanation:
25w+140=290
$25 every week + the original $140 = the total needed $290
Answer:
140 + 25w = 290
w = 6
Step-by-step explanation:
Goal: $290
Currently have $140
Saving $25 each week (variable)
Start with your given amounts :
(base) 140 + 25w (variable solving for) = 290 (goal you want equation to equal)
w stands for the amount of weeks for the goal to be reached
Solve:
140 + 25w = 290
subtract 140
25w = 150
divide 25
w=6
Double check (optional but suggested)
140 + 25 (6) = 290
140 + 150 = 290
290 = 290
correct
Select all of the following that are true. *
sinA=18/30
sinA=3/5
cosA=10/6
cosA=8/10
cosA=5/3
tanF=24/18
tanF=3/4
tanD=3/4
sinD=18/30
Answer:
Step-by-step explanation:
sin A = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{6}{10}[/tex] = [tex]\frac{3}{5}[/tex]
cos A = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{8}{10}[/tex] = [tex]\frac{4}{5}[/tex]
tan F = [tex]\frac{DE}{FE}[/tex] = [tex]\frac{24}{18}[/tex] = [tex]\frac{4}{3}[/tex]
tan D = [tex]\frac{FE}{DE}[/tex] = [tex]\frac{18}{24}[/tex] = [tex]\frac{3}{4}[/tex]
sin D = [tex]\frac{FE}{FD}[/tex] = [tex]\frac{18}{30}[/tex] = [tex]\frac{3}{5}[/tex]
Given that ƒ(x) = x2 + 1 and g(x) = –3, multiply the functions (g · ƒ)(x).
Answer:
(2+1×-3)(x) = 3×(-3)(x) =-9x
Answer:
(g · ƒ)(x) = –3x2 – 3
Step-by-step explanation:I took the test