C. 3/8 i think.......
Answer: 7/15
Step-by-step explanation:
Jerry and Phil took a math test on Wednesday they scored 178 points altogether Jerry scored 10 points higher than fill what is each students score
Answer:
Step-by-step explanation:
j + p = 178
j = p + 10
p + 10 + p = 178
2p + 10 = 178
2p = 178 - 10
2p = 168
p = 168/2
p = 84 <==== Phil's score
j = p + 10
j = 84 + 10
j = 94 <====Jerry's score
Final answer:
Jerry scored 94 and Phil scored 84.
Explanation:
To find Jerry and Phil's scores, we'll set up two equations based on the given information. Let's say Jerry's score is represented by 'J' and Phil's score is represented by 'P'. We know that Jerry scored 10 points higher than Phil, so J = P + 10. We also know that their scores combined equal 178, so J + P = 178. Now we can solve these two equations to find each student's score. Substituting the first equation into the second equation, we get (P + 10) + P = 178. Simplifying this equation gives us 2P + 10 = 178. Subtracting 10 from both sides gives us 2P = 168. Finally, dividing both sides by 2 gives us P = 84. So Phil's score is 84. Substituting this value back into the first equation, we get J = 84 + 10 which gives us J = 94. Therefore, Jerry's score is 94.
A cow produces 20000lbs of milk in a year. A gallon of milk weighs 8.6lbs. How many gallons did the cow produce?
Answer:
2,325.58 Gallons
Step-by-step explanation:
20,000÷8.6=2,325.58
A person flipped a coin 100 times and obtained 73 heads. Can the person conclude that the coin was unbalanced?
They can not, there are only 2 sides and they probably flipped it different ways. They got 'lucky'.
Final answer:
Flipping a coin 100 times and getting 73 heads suggests a potential unbalanced coin. A chi-square statistical test is needed to determine if the deviation from the expected 50-50 ratio is significant. The large deviation in this scenario does suggest bias, but only a hypothesis test can confirm if the coin is unbalanced.
Explanation:
Intuitively, we might accept variations in coin flips as part of chance when the number of trials is small. However, as the number of trials increases, the expected 50-50 ratio of heads and tails should emerge. In the case where a person flipped a coin 100 times and obtained 73 heads, one could suspect an unbalanced coin, but to conclusively determine this, a statistical test, such as a chi-square, should be conducted to assess the significance of the deviation from the expected 50-50 ratio.
Flipping a coin 100 times should result in approximately 50 heads and 50 tails, according to the law of large numbers. A result of 73 heads is quite far from the expected outcome. The empirical observation suggests that there might be a bias towards heads, which indicates that the coin could be unbalanced.
To determine whether the coin is truly unbalanced or whether this was a fluke, one would perform a hypothesis test at a specified significance level to see if the observed results significantly differ from what is expected by random chance alone. If the results show a statistically significant difference, we could conclude that there is evidence to support the claim that the coin is unbalanced.
A person standing close to the edge on the top of a 400-ft building drops a baseball. The quadratic function h left parenthesis t right parenthesis equals negative 16 t squared plus 400 models the ball’s height above the ground, h left parenthesis t right parenthesis, in feet, t seconds after it was dropped.
Find h left parenthesis 0 right parenthesis AND interpret the meaning of the function value in the context of the problem.
Answer:
[tex]h(0)=400[/tex]
The above function value for [tex]h(0)[/tex] shows that height of the ball before it was dropped i.e. at time = 0 seconds.
The height of the ball above the ground before it was dropped = 400 ft.
Step-by-step explanation:
Given:
The quadratic function that models the height of the baseball above the ground in feet , [tex]t[/tex] seconds after it was dropped is given as:
[tex]h(t)=-16t^2+400[/tex]
To find [tex]h(0)[/tex] and interpret the meaning of the function value in contect of the problem.
Solution:
In order to find [tex]h(0)[/tex], we will replace [tex]t=0[/tex] in the given function as [tex]h(t)[/tex] is a function of time [tex]t[/tex].
Thus, we have:
[tex]h(0)=-16(0)^2+400[/tex]
[tex]h(0)=16(0)+400[/tex]
[tex]h(0)=0+400[/tex]
[tex]h(0)=400[/tex] (Answer)
The above function value for [tex]h(0)[/tex] shows that height of the ball before it was dropped i.e. at time = 0 seconds.
The height of the ball above the ground before it was dropped = 400 ft.
This is due Monday but I want to get it done today, because the teacher is still going to check it, and I have practicly nothing answered.
Solve for x. Then find the measure of each identified angle. Check your solution
Answer:
put a pic of the question
Step-by-step explanation:
plz
Which angle is an acute angle?
there is no acute angle.......
Answer:
angle CPB is an acute angle cause it's measure is less than 90°
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,160 ft Determine the flag's width and length if the length is 440 ft greater than the width.
The length of flag is 760 feet and width of flag is 320 feet
Solution:
A seed company planted a floral mosaic of a national flag
Since, the flag is generally of shape rectangle, we can use the formula of rectangle
Let "a" be the length of rectangle
Let "b" be the width of rectangle
The length is 440 ft greater than the width
Length = 440 + width
a = 440 + b ----- eqn 1
The perimeter of the flag is 2,160 ft
The perimeter of rectangle is given as:
Perimeter = 2(length + width)
Substituting the given values, we get
2160 = 2(440 + b + b)
2160 = 880 + 4b
4b = 2160 - 880
4b = 1280
b = 320
Substitute b = 320 in eqn 1
a = 440 + 320
a = 760
Thus the length of flag is 760 feet and width of flag is 320 feet
Which of the following is equal to the function below? (7/4)^11
A). 7^11/4^11
B). 7^11/4
C) 77/44
D) 11x(7/4)
Answer:
Therefore the correct option is A. 7^11/4^11
[tex](\dfrac{7}{4})^{11}=\dfrac{7^{11}}{4^{11}}[/tex]
Step-by-step explanation:
Given:
[tex](\dfrac{7}{4})^{11}[/tex]
Solution:
We know the Identity For Law of Indices
[tex](\dfrac{x}{y})^{a}=\dfrac{x^{a}}{y^{a}}[/tex]
So here we have,
x = 7
y = 4
a = 11 , then
[tex](\dfrac{7}{4})^{11}=\dfrac{7^{11}}{4^{11}}[/tex]
Therefore the correct option is A. 7^11/4^11
[tex](\dfrac{7}{4})^{11}=\dfrac{7^{11}}{4^{11}}[/tex]
There are 10 cranberry and 15 strawberry juices. You randomly pick two juices. What's the probability you'll get two strawberry juices.
Answer:
7/20Explanation:
The theoretical probability, P (A), of an event, A, is:
P(A) = number of outcomes of event A / total number of possible outcomesFor 10 cranberry and 15 strawberry juices, the number of outcomes for two strawberry juices are:
Combination of 15 strawberry juices chosen in two:[tex]C^{15}_{2}=\frac{15!}{(15-2)!(2!)}=\frac{15!}{13!2!}=\frac{15\times 14}{2}=105[/tex]
The total number of possible outcomes is:
Combination of 25 juices chosen in two:[tex]C^{25}_{2}=\frac{25!}{(25-2)!(2!)}=\frac{25!}{23!2!}=\frac{25\times 24}{2}=300[/tex]
Thus, the probability of randomly picking two strawberry juices is:
P (two strawberry juices) = 105/300 = 7/20Note that you can obtain it as the product of the probabilities that the first juice is a strawberry juice and the second juice is also strawberry juice:
[tex]15/25\times 14/24=(15\times 25)/(14\times 24)=210/600=7/20[/tex]
what is the definition of median
Answer:
the middle sequentially in a list of numbers (sorted from lowest to highest)
Step-by-step explanation:
for example, in the dataset 2, 4, 6, 8, 10, 6 would be the median because it is in the middle when sorted properly
Answer: The median is the middle value in the list of numbers
Step-by-step explanation:
For example: 5,3,7,10,22,12,15,100,98
The median is 22 because it is in the middle of all the number displayed
Aguy wire for a tree is 20 ft. long, making a 21oangle with the ground. How far is the base of the tree from a stake anchoring the wire?
Answer:
The base of the tree from a stake anchoring the wire is 18.67 feet far.
Step-by-step explanation:
Given:
the length of the wire = 20 feet
Angle that the wire makes with the ground = 21 degrees
To Find:
The Distance from the base of the tree from the stake anchoring wire = ?
Solution:
We we construct a figure using the given data we end up with the right triangle as shown below
So now we can use the cosine ratio to find the distance from the base of the tree to the anchoring wire
Let d be the distance of base of the tree from a stake anchoring the wire
[tex]Cos(angle) =\frac{\text{Adjacent side}}{Hypotenuse}[/tex]
On substituting the values we get
[tex]cos(21^{\circ}) =\frac{d}{20}[/tex]
[tex]d = cos(21^{\circ}) \times 20[/tex]
d = [tex]0.9335 \times 20[/tex]
d = 18.67 feet
My sister is 19 years old. My brother says that his age minus eighteen is equal to my sister's age. How old is my brother? Enter an equation, using b as your variable, to find how old my brother is. The equation is My brother is years old.
Step-by-step explanation:
If you find my answer helpful...mark it as brainliest.
An equation is created to solve for the brother's age: b - 18 = 19. By adding 18 to both sides, we determine the brother is 37 years old.
To solve for the brother's age, you need to create an equation based on the information given. Since the sister is 19 years old, and the brother says his age minus eighteen is equal to the sister's age, the equation is: b - 18 = 19.
Now, solve for b (the brother's age) by adding 18 to both sides of the equation:
b - 18 + 18 = 19 + 18b = 37Therefore, the brother is 37 years old.
Find the value of x to the nearest tenth.
19.7 19.2 20.8 21.3
Answer:
x=20.8 units
Step-by-step explanation:
The picture of the question in the attached figure
we know that
In a circle, perpendicular bisector of a chord passes through the center of a circle
That means
x/2 is the base of the right triangle of the figure
Applying the Pythagorean Theorem in the right triangle
[tex]12^2=6^2+(\frac{x}{2})^2[/tex]
Solve for x
[tex]144=36+\frac{x^2}{4}\\\\\frac{x^2}{4}=144-36\\\\\frac{x^2}{4}=108\\\\x^2=432\\\\x=20.8\ units[/tex]
Write 8 x 8 x 8 x 8 using exponents.
Step-by-step explanation:
The exponent form of the given product is given by 8³
What are exponents?Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplify algebraic expressions.
Given here: The product of 8×8×8
We know by the law of exponents that
a×a×a=a³
Thus 8×8×8=8³
Hence, The exponent form of the given product is given by 8³
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The area of the yard was 6,756 square yards. The width of the yard was 12 yards. What was the length of the yard?
Step-by-step explanation:
Given,
The area of the yard = 6,756 square yards and
The width of the yard (b) = 12 yards
To find, the length of the yard (l) = ?
We know that,
Area of the rectangle = Length(l) × Breadth(b)
⇒ l × 12 = 6,756
⇒ l =[tex]\dfrac{6,756}{12}[/tex]
⇒ l = 563 yards
Thus, the length of the yard was 563 yards.
Answer:
Therefore the Length of the yard is 563 yards.
Step-by-step explanation:
Consider the yard as a Rectangle
Area of the Yard = 6756 square yards
Width of the yard = W = 12 yards
To Find :
Length of the yard = L =?
Solution:
WE know that
[tex]\textrm{Area of Rectangle}=Length\times Width[/tex]
Substituting the values we get
[tex]\textrm{Area of Yard}=L\times W=L\times 12\\6756=L\times 12\\\\W=\dfrac{6756}{12}=563\ yard[/tex]
Therefore the Length of the yard is 563 yards.
If Sue can read 25 pages in ten minutes, how long will it take her to read 250 pages?
Answer:
100 minutes
Step-by-step explanation:
25 x 10 = 250
10×10=100
3) The expression (x12)(y-13)(x-5)(y4
equivalent xmyn. What is the value of n
Answer:
Therefore the value of n is
[tex]n=-9[/tex]
Step-by-step explanation:
Given:
[tex]x^{12}y^{-13}x^{-5}y^{4}=x^{m}y^{n}[/tex]
To Find:
n = ?
Solution:
Using identity
[tex]1.\ x^{a}x^{b}=x^{a+b}[/tex]
[tex]2.\ x^{a}x^{-b}=x^{a-b}[/tex]
[tex]3.\ x^{-a}x^{b}=x^{-a+b}[/tex]
Therefore
[tex]x^{(12-5)}y^{(-13+4)}=x^{m}y^{n}[/tex]
[tex]x^{7}y^{-9}=x^{m}y^{n}[/tex]
Now on Comparing and Equality Property we get
[tex]m =7\\n=-9[/tex]
Therefore the value of n is
[tex]n=-9[/tex]
The final expression is [tex]x^{7}[/tex] [tex]y^{-9}[/tex] , making n = -9.
The given expression is([tex]x^{12}[/tex])([tex]y^{-13}[/tex])([tex]x^{-5}[/tex])([tex]y^4[/tex]). We want to find the equivalent expression in the form [tex]x^{m}[/tex] [tex]y^n[/tex], where m and n are exponents that we need to determine.
Here's how to simplify it step by step:
Combine the exponents of x:[tex]x^{12}[/tex] * [tex]x^{-5}[/tex] = [tex]x^{12-5}[/tex] = [tex]x^{7}[/tex]
2. Combine the exponents of y:
[tex]y^{-13}[/tex] *[tex]y^{4}[/tex] = [tex]y^{-13+4}[/tex] = [tex]y^{-9}[/tex]
Therefore, the expression simplifies to [tex]x^{7}[/tex] [tex]y^{-9}[/tex]. This means that m = 7 and n = -9. Thus, the value of n is -9.
Question-The expression ([tex]x^{12}[/tex])([tex]y^{-13}[/tex])([tex]x^{-5}[/tex])([tex]y^4[/tex]) is equivalent to [tex]x^m y^n[/tex].
What is the value of n?
A bus travels at an average speed of 60 mph on the highway. Once inside the city limits, the both decreases its speed by 55%?
Answer:
The speed of the bus after it decreased by 55% is now 27 miles per hour.
Answer: The speed of the bus inside city limits is... 27 mph
- Hope this helps!
What is 10% of 360? 18 36 90 180
Answer:
36
Step-by-step explanation:
10% of 360=10/100*360=1/10*360=360/10=36
Answer:
$36 or $360
Step-by-step explanation:
2) 7x – 5 y = -2
y = 7x – 22
Answer:
(4, 6).
Step-by-step explanation:
7x – 5y = -2
y = 7x – 22
-7x + y = -22 Adding this to equation 1:
-4y = -24
y = 6.
Plug this into the second equation:
6 = 7x - 22
7x = 28
x = 4.
Mrs McCarr buys 9 packages of markers for an art project. Each packages has 10 markers. How many markers does Mrs McCarr buy?
Answer:
Mrs. McCarr buys 90 markers
Step-by-step explanation:
10 markers per package × 9 packages of markers = 90 markers in total
90 markers because 10 times 9 equals 90
2x+3y=4 4x+6y=9 what is the value of x and y
Answer:
No Solution.
Step-by-step explanation:
2x+3y=4
4x+6y=9
-------------
-2(2x+3y)=-2(4)
4x+6y=9
----------------------
-4x-6y=-8
4x+6y=9
-------------------
0=1
no solution
Answer:
No solution.
Step-by-step explanation:
2x + 3y = 4
4x + 6y = 9
Multiply both sides of the first equation by -2. Then write the second equation below it and add them.
-4x - 6y = -8
+ 4x + 6y = 9
-------------------------
0 + 0 = 1
Since the statement 0 = 1 is false, there is no solution to this system of equation.
What value correctly fills in the blank so that the expressions are equivalent?
32 + 72 = _x(4 + 9)
Answer:
8
Step-by-step explanation:
Notice:
32 = (8 x 4)
72 = (8 x 9)
Hence,
32 + 72
= (8 x 4) + (8 x 9) (factorize out the 8)
= 8 x (4 + 9)
therefore the musing number is 8
Answer:
Step-by-step explanation:
32 + 72 = 8*4 + 8* 9
= 8* (4 + 9)
So 8 will come in the blank
A plane travels at a speed of 213 miles per hour.
(a) Work out an estimate for the number of seconds the plane takes to travel I mile.
Answer:
0.0925 miles per second
Step-by-step explanation:
Answer:
16.9 seconds in 1 mile
Step-by-step explanation:
213miles => 3600s
1 mile => X
X=1*3600/213
X=16.9s
A product tester measures four different sizes of shampoo bottles to see if they are filled accurately. The table shows the results. Which sample had the least percent error?
!!FIRST PERSON TO ANSWER CORRECTLY GETS BRAINLIEST!!
Sample 2 has least percent error
Step-by-step explanation:
We have to find the percent error in all samples to verify which sample had the least percent error
Percent error is given by:
[tex]Percent\ error = \frac{|actual\ amount-stated\ amount|}{Stated} * 100[/tex]
For sample 1:
Stated amount = 14 ounces
Actual amount = 13.7 ounces
[tex]Percent\ error = \frac{|13.7-14|}{14} * 100\\= \frac{|-0.3|}{14} * 100\\=\frac{0.3}{14} * 100\\= 0.021428*100\\=2.1428\%[/tex]
Sample 2:
Stated amount = 24 ounces
Actual amount = 24.4 ounces
[tex]Percent\ error = \frac{|24.4-24|}{24} * 100\\= \frac{|0.4|}{24} * 100\\=\frac{0.4}{24} * 100\\= 0.016666*100\\=1.666..\%[/tex]
Sample 3:
Stated amount = 25 ounces
Actual amount = 25.8 ounces
[tex]Percent\ error = \frac{|25.8-25|}{25} * 100\\= \frac{|0.8}{25} * 100\\=\frac{0.8}{25} * 100\\= 0.032*100\\=3.2\%[/tex]
Sample 4:
Stated amount = 39 ounces
Actual amount = 40.2 ounces
[tex]Percent\ error = \frac{|40.2-39|}{39} * 100\\= \frac{|-1.2|}{39} * 100\\=\frac{1.2}{39} * 100\\= 0.030769*100\\=3.0769\%[/tex]
Hence,
Sample 2 has least percent error
Keywords: Percent error, error
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john traveled 150km in 6 hours and alice traveled 180km in 4 hours. what is the ratio of the average speed of john to average speed of alice?
a. 3:2
b. 2:3
c. 5:9
d. 5:6
The average speed of John and Alice are determined first by dividing the total distance by the total time taken. The ratio of the average speeds is 25:45 or in simplified form, 5:9. Therefore, the correct answer to the question is (c) 5:9.
Explanation:To find the ratio of the average speed of John to Alice, we first need to calculate their average speed individually. The average speed is obtained by dividing the total distance covered by the total time taken.
For John, his average speed would be 150km/6 hours = 25km/h. For Alice, her average speed would be 180km/4 hours = 45km/h.
So, the ratio of the average speed of John to Alice would be 25 : 45. In simplest form, this ratio becomes 5 : 9 (divided both numbers by 5).
Therefore, the answer is (c) 5:9.
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A child grew 3 1/4 inches one year and 4 3/4 inches the next year. How many inches did the child grow over the two years?
BRAINLIEST GETS 15 POINTS
Answer:
4 inches
Step-by-step explanation:
express the mixed fraction in improper form
3 1/4 = 13/4
4 3/4 = 19/4
hence total growth
= 3 1/4 + 4 3/4
= 13/4 + 19/4
= (13+19)/4
= 32/4
= 4 inches
Answer:
8 inches.
Step-by-step explanation:
3 1/4 + 4 3/4
= 3 + 4 + 1/4 + 3/4
= 7 + 4/4
= 7 + 1 = 8 inches.
– 3х – бу = 17; (6, 3)
I'm going to assume that you want to know whether the coordinate satisfies the equation. Let's find out;
-3х - 6у = 17
-3(6) - 6(3) = 17
-18 - 18 = 17
-36 ≠ 17
The point (6, 3) does NOT satisfy the equation.
Best of Luck!
f(2/9) if f(x)=3x+1/3
Answer:
1
Step-by-step explanation: