Answer:
There are 20 European Butterflies.
Step-by-step explanation:
To determine the number of European Butterflies in the park, knowing that there are 80 North American Butterflies there, and that the ratio of each species is 8: 5 for North American and South American butterflies, and 5: 2 for South American and European butterflies, it must be done the following logical reasoning:
Given that there are 8 North American butterflies for every 5 South American, and 5 South American for every 2 European, it could be said that there are 8 North American butterflies for every 2 European (8: 2).
Thus, if there were 80 North American butterflies, the number of European butterflies in the park would be 20.
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 405 gram setting. It is believed that the machine is underfilling the bags. A 22 bag sample had a mean of 396 grams with a variance of 441. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal.
Required:
State the null and alternative hypotheses.
Answer:
We reject H₀
Step-by-step explanation:
Normal Distribution with n = 22 ( sample size)
n<30 we need to use a t-student distribution
Sample mean μ = 396
Population mean ( required mean ) μ₀ = 405
Sample variance is 441 then sample standard deviation s = √441
s = 21
Hypothesis Test
Null Hypothesis H₀ μ = μ₀
Alternative Hypothesis Hₐ μ < μ₀
Significance level α = 0,1
The test is a one-tail test to the left
From t-student table we find for t(c)
degree of fredom df = 22 -1 df = 21
and α = 0,1 t(c) = - 1,3232
To compute t(s)
t(s) = ( μ - μ₀ ) / s /√n
t(s) = ( 396 - 405 )*√n / 21
t(s) = - 9 *4,69 /21
t(s) = - 2,01
Comparing
t(s) and t(c) - 2,01 and - 1,3232
|t(s)| > |t(c)| then t(s) is in the rejection region we must reject H₀
A jewelry box contains two gold hoop earrings and two silver hoop earrings. You randomly choose two earrings. What is the probability that both are silver hoop earrings? Write your answer as a fraction or percent rounded to the nearest tenth.
The probability that both are silver hoop earrings is:
Answer:
2 + 2 = 4 total earrings in the box.
If you put the earring back into the box before taking out the second, it would be 1/2 * 1/2 = 1/4, 25%.
Answer:
1/6 or 16.7%
Step-by-step explanation:
There are a total of 4 earrings in the box: 2 pairs of earrings + 2 pairs of earrings.
If you return the first earring to the box before removing the second, the answer is 1/2 * 1/2 = 1/4, or 25%.
If you remove the first earring from the package, the response is 1/2 * 1/3 = 1/6, or 16.7%.
Solve this system of equations
{y=2x
X=-y+6
Answer:
Step-by-step explanation:
x = -2x + 6
3x = 6
x = 2
y = 2(2)
y = 4
(2,4)
what fraction is equivalent to -3/2
Answer:
-1 1/2
Step-by-step explanation:
Solve the inequality
Answer:
P > 9
Step-by-step explanation:
22 x 9 would equal 198 also, but if you want it to be like in the equation where 22p is more than 198 it has to be more than 9. So if you were to substitute any number over 9 it would work.
Which of the following values for y makes the inequality True? 3y >12
answer:
a value of five or more would make the inequality true
Please help me with this question
Answer:
The answer would be C
Step-by-step explanation:
The reason it is C, is because, if you add 13 to 3, you would get 16. Then, by dividing that by 2, you would get the desired answer of 8.
Answer:
c
Step-by-step explanation:
I just know because I worked it out on paper
Please help me im giving a homeless Camel CPR so im kinda pre occupied
Answer: camels dont have hearts so dont lie!!!!!
Step-by-step explanation: but i will help u with ur homework if say please caus im the goodest at school stuff
Sixteen degrees celsius is warmer than zero degrees celsius
Answer:
yes???
Step-by-step explanation:
16 celsius is warmer than 0 celsius by 16 degrees.0 is colder by 16 degrees.
T o T hope that helped...
Solve for the missing side to the nearest tenth.
16
30
X =
Answer: x=32
Step-by-step explanation:
Because a triangle is 180°, the missing angle in the triangle would be 60°.
Because of the 30°-60°-90° angles theorem, The side opposite 90° is double the side opposite 30°, which means that x=32.
Michael borrowed $1000 on a 2 year loan. He is charged 5% simple interest per year.
How much interest is he charged for 2 year? What is the total amount he has to pay
back?
O $1000, $3000
O $10, $1010
O $50, $5000
O $100, $1100
Answer:
the last choice
Step-by-step explanation:
simple interest means there is only interest on the original principal (1000$)
so 2 years of 5% would be 10%, 10% of 1000 is 100.
total amount = interest+principal, so it is 100, 1100
You paint four walls. Each wall is a rectangle with a length of 18 feet and a height of 12 feet. One gallon of paint covers about 320 square feet. How many gallons of paint do you need in order to cover the walls?
Answer:
you will need exactly 2.7 gallons of paint but if rounded you'll need 3 gallons
Step-by-step explanation:
Plz help! I really need this!
Answer:
x=16
Step-by-step explanation:
the remaining angle for thw triangle is found by subtracting the already shown angles from 180 (the angle some of a triangle) which happens to be 96 to get 84 but now you need to subtract 84 from 180 to find the angle on the other side of line because lines have a total angle measurement of 180 but we already kbow what this get's us because it's 96 now we devide 96 by 6 to get 16 our answer.
Evaluate the expression |2x-5| for x = -3 and for x = 3
Answer: 11 and 1
Step-by-step explanation:
Absolute value = positive
|2x-5| for x = -3 and for x = 3
|2(-3) - 5| = |-6-5| = |-11| = 11
|2(3) - 5| = |6-5| = 1
a circle has a diameter of 7.6 feet
6m - 3p + 10 when m = 6, p = 4
Answer:
The answer is 58.
Step-by-step explanation:
Plug in and Solve.
[tex]6m - 3p + 10 \\ 6(6) + 3(4) + 10 \\ 36 + 12 + 10 \\ 48 + 10 \\ 58[/tex]
Answer:
[tex]6m - 3p + 10 \\ when \: m = 6 \\ \: \: \: \: \: \: \: \: \: p = 4 \\ = 6(6) - 3(4) + 10 \\ = 36 - 12 + 10 \\ = 24 + 10 \\ = 34[/tex]
What fraction of an hour is 51 minutes?
Give your answer in its simplest form.
Answer:
0.850
Step-by-step explanation:
A school has a capacity of 965 students. If 541 students are already enrolled in the school, how many students remain? Round to the nearest ten.
Answer:
420 students
Step-by-step explanation:
965-541=424
round to the nearest ten and you get 420
i hope this helped, please mark this as brainliest! thanks
Answer:
The answer is 420
Step-by-step explanation:
You first do the equation 965 - 541. The answer to that is 424, but when you round it to the nearest ten, the answer would be 420.
Izabella answered 43 out of 50 questions correctly on her STAAR test. What percentage did Izabella answer correctly?
Answer:
Step-by-step explanation:
86 percent i hole this helps!
Rotate the vector (5,1) 90°
clockwise about the origin.
Answer:
(-1, 5)
Step-by-step explanation:
this is correct
The new coordinates of the vector (5,1) after rotating it 90° clockwise about the origin would be (-1,5).
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
Rotating a vector 90° clockwise in a 2D coordinate system can be accomplished by "flipping" the vector's x and y coordinates and then negating one of them.
In this case, the original x-coordinate is 5 and the y-coordinate is 1.
When we negate the x-coordinate and swap the positions of x and y, we get the new coordinates of (-1,5).
To learn more about the transformations click here :
brainly.com/question/28029674
#SPJ2
Solve the following A/5+3=8
Answer:
Your answer is going to be a=1
Step-by-step explanation:
First things first, we want all the letters on the left side and all the numbers on the right side. So, you have to get rid of the three. In order to get rid of the three you have to take it away, so A/5=8-3. Then it will become A/5=5. After that you want to have A all by itself so divide it by 5, A/5=5/5. Then it will become A=1. Hope this helps! :)
Answer:
A=25
Step-by-step explanation:
A/5+3=8
A/5+3-3=8-3
see upper side photo
Is (1, -7) a solution of y=x-8?
Νο
Yes
hi die cry why guy shy fiy
Answer:
Yes
Step-by-step explanation:
You just plug in the values. [tex]-7 = 1-8[/tex]. You plug in 1 for x, and -7 for y
Help please . I need to show full work to the teacher .
Solve for unknown variable
Answer:
b: 110.43
a:90.34
h:89.99
Step-by-step explanation:
check my image
Question 1
Find the missing angle to the nearest degree.
36
14
degrees
Answer:
23°
Step-by-step explanation:
Let the missing angle be x
Reference angle = missing angle = x
Opposite side to x = 14
Hypotenuse = 36
Applying trigonometric ratio, we have:
[tex] sin(x) = \frac{14}{36} [/tex]
[tex] x = sin^{-1}(\frac{14}{36}) [/tex]
x = 23° (to the nearest degree)
The ellipse with center C(2, -3), vertices V(-8,-3) and V2(12,-3), and foci F1(-4,-3) and F2(8,-3). 6.
The ellipse with vertices V.(-1,-4) and V2(-1,6), and foci F(-1,-3) and F2(-1,5).
Answer:
(x-2)²/100 + (y+3)²/64 = 1
Step-by-step explanation:
C (2,-3): h=2 k=-3
semimajor axis (CV): a=12-2=10
center-foci: c=8-2=6
semi minor axis: b² = a²-c²= 100 - 36 = 64
equation: (x-h)²/a² + (y-k)²/b² = 1
(x-2)²/100 + (y+3)²/64 = 1
It is Moesha's birthday. Her mom gives her $10, and her dad gives her $15. Moesha uses her gifts to buy a doll for $20.
Both expressions below represent how much money she has left.
Expression 1: $10+ $15 - $20
Expression 2: ($10+ $15) - $20
Why is expression 2 better than expression 1 in representing Moesha's situation?
A Expression 2 stresses that the doll could not be bought without parents' gifts.
B Expression 1 separates the money that Moesha got as gifts from the money that she spent.
C Expression 2 shows Moesha's parents gave her a doll.
D Expression 1 does not solve to the correct amount of money that Moesha has left.
Answer:
the answer is B
Step-by-step explanation:
3 2/5 times 3/4??
2 1/3 times 3 4/6??
Answer:
i have the answer for the first one, it is 2.55. hope this helps!!
Step-by-step explanation:
Simplify (65)2
O A. 670
O B. 67
C. 65
D. 63
If (-x^2 + y^2) is subtracted from (x^2 + y^2), the difference is
A.2x^2
B.0
C. -2x^2
D. —2x^2– 2y^2
Answer:
If [tex](-x^2 + y^2)[/tex] is subtracted from [tex](x^2 + y^2)[/tex], the difference is: [tex]\mathbf{2x^2}[/tex]
Option A is correct option.
Step-by-step explanation:
If [tex](-x^2 + y^2)[/tex] is subtracted from [tex](x^2 + y^2)[/tex], we need to find the difference.
When finding the difference the term after from comes first.
We can write:
[tex](x^2 + y^2)-(-x^2 + y^2)[/tex]
Now finding difference:
Multiply minus sign with terms inside the bracket
[tex]=x^2 + y^2+x^2 - y^2[/tex]
Now combine the like terms
[tex]x^2 +x^2+ y^2 - y^2\\=2x^2+0\\=2x^2[/tex]
So, If [tex](-x^2 + y^2)[/tex] is subtracted from [tex](x^2 + y^2)[/tex], the difference is: [tex]\mathbf{2x^2}[/tex]
Option A is correct option.
2.-7(4 - X) *
(1 Point)
-28 + 7x
4- 7x
28 - 7x
Answer:
-28 + 7x
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyStep-by-step explanation:
Step 1: Define
-7(4 - x)
Step 2: Simplify
Distribute -7: -7(4) - 7(-x)Multiply: -28 + 7x