The percentage of the total that she spent in fruit is 10%.
What percentage of the total did she spend on fruit?We know that Jane spent a total of $20 at the grocery shop, and we know that she spent $2 in fruit.
We want to find the percentage of the total that she spend on fruit, to get this, we need to take solve the equation:
Percentage = 100%*(amount that she pend on fruit)/(total amount)
Replacing the values that we know there we will get:
P = 100%*($2/$20)
P = 100%*1/10 = 10%
She spent 10% of the total amount in fruit.
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I need somebodys help quickly please!
(look at the attachment it shows the math equation).
Answer:
First box is seven; second box is 16; third box is 14
Step-by-step explanation:
Since a square has all equal sides, we know that s+s+s+s or 4s=Perimeter.
SInce we are finding the area of a square, the equation would be s^2. 7 squared is 49, 16 squared is 256, and 14 squared is 196.
the trees shadow is 36.2 feet long. The tree is 15 feet away from the edge of the lake. Cade is 6.2 feet tall and his shadow is 2.5 feet long, his shadow is measured at the exact time the trees shadow reaches the other side of the lake which is 15.6 feet long. What is the distance across the lake (water's edge to opposite side)
Answer:
24.3ft
Step-by-step explanation:
36.2ft - 15ft = 21.2ft
Cade height = 6.2 - 2.5 = 3.7
21.2 + 3.7 = 24.9ft
24.9ft - 15.6ft = 24.3ft
The figure below is dilated by a factor of 1/4 centered at the origin. Plot the resulting image.
Check the picture below.
The results of a survey show that the percent of adults in a certain town who want to change the name of the town is in the interval [0.38,0.41].
The point estimate for the percent who want to change the name of the town is 39.5%.
The poll's margin of error is 1. 5 %.
The town most likely will not change its name because the point estimate is less than half.
How to find the point estimate ?The point estimate for the percent who want to change the town's name is the midpoint of the interval [0.38, 0.41]. To find the midpoint, add the endpoints of the interval and divide by 2:
(0.38 + 0.41) / 2 = 0.79 / 2 = 0.395
So, the point estimate is 39.5%.
The margin of error is half the width of the interval. To find the width, subtract the lower endpoint from the upper endpoint and divide by 2:
(0.41 - 0.38) / 2 = 0.03 / 2 = 0.015
So, the margin of error is 1.5%.
Based on the given data, the town is most likely not going to change its name. The point estimate, 39.5%, is less than 50%, which indicates that less than half of the surveyed adults want to change the town's name. The margin of error (1.5%) is relatively small compared to the point estimate, which means that the true percentage is likely to be within 1.5% of the point estimate.
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if a destination goal is created for a newsletter sign-up and a user completes the newsletter sign-up three times in three separate sessions, how many goal conversions will analytics count?3621
Analytics will count three goal conversions if a user completes the newsletter sign-up three times in three separate sessions.
When a goal is set up in analytics, it is assigned a unique ID. When a user completes the desired action that triggers the goal, the ID is recorded in the user's session data. Each time the user completes the action, a new session is created, and a new goal completion is recorded with a unique ID.
Therefore, if the user completes the newsletter sign-up three times in three separate sessions, analytics will count three goal conversions, each with a unique ID.
It's worth noting that while this behavior is typical for most analytics platforms, it's possible to configure goals in different ways, so the behavior may vary depending on the specific implementation. Therefore, it's important to consult the analytics documentation or work with a knowledgeable analyst to confirm the expected behavior.
Therefore, the correct answer is three goal conversions will be counted in analytics.
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A creative writing competition accepts only
poems and stories.
In one year, the competition received 1000
entries.
750 of the entries were poems.
24% of the poems and 65 of the stories were
shortlisted for a prize.
a) Draw a frequency tree to show the
information above.
b) An entry is picked at random. What is the
probability that it is a poem that has not been
shortlisted?
Give your answer as a decimal.
c) A story is picked at random. What is the
probability that it has not been shortlisted?
Give your answer as a decimal.
Answer:
b) 0.57
c) 0.74
Step-by-step explanation:
part a:
frequency graph is attached with this answer (in png format).
part b:
let A be the event an entry is picked at random and the entry is a poem that has not been shortlisted.
P(A) = [tex]\dfrac{\text{number of poems not shortlisted}}{\text{total number of entries}}[/tex]
P(A) = [tex]\dfrac{570}{1000}[/tex] (see the frequency graph)
P(A) = 0.57
part c:
let B be the event a story is picked at random and the story has not been shortlisted.
P(B) = [tex]\dfrac{\text{number of stories not shortlisted}}{\text{total number of stories}}[/tex]
P(B) = [tex]\dfrac{185}{250}[/tex] (see the frequency graph)
P(B) = 0.74
Hopefully this answer helped you!!
Zain is using a protractor to measure an angle.
What is the measure of the angle?
The measure of the angle that Zane is using the protractor is a 113 degrees.
Degree is the unit of measure of an angle and is measured by using the geometric tool - a protractor. A degree is denoted by the symbol '°'. A circle completely rotates at a 360° and a degree is a part of that 360° rotation as it is divided into 360 equal parts.
Therefore, The measure of the angle that Zane is using the protractor is a 113 degrees.
Plssssss helppp
What do you think an appropriate domain for the mold area function A is? Explain your
reasoning
Assuming that the function A calculates the surface area of a mold, the appropriate domain for A would be a set of all possible molds, which can be represented by a set of positive real numbers.
It is important to note that the mold's geometry, size, and complexity will affect the calculation of its surface area. Therefore, the domain of the mold area function A should include all possible variations of mold shapes and sizes.
In practical applications, the domain of A may also be limited by the manufacturing capabilities or constraints, such as the maximum size or complexity of molds that can be produced. In such cases, the domain of A may need to be further restricted to reflect these limitations.
Overall, the appropriate domain for the mold area function A would depend on the specific context and application of the function.
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The correlation coefficient is always a number between ____ and ___.
A correlation coefficient is consistently a number between 1 and - 1 .
The correlation coefficient is a factual measure that demonstrates the strength and heading of the straight connection between two factors. It goes from - 1 to 1, where - 1 addresses a completely bad correlation (i.e., as one variable expands, different declines), 0 addresses no correlation, and 1 addresses an entirely sure correlation (i.e., as one variable builds, the other likewise increments).
The indication of the correlation coefficient demonstrates the heading of the relationship, while the extent of the coefficient shows the strength of the relationship. A correlation coefficient of 0 shows no straight connection between the factors, while values nearer to - 1 or 1 demonstrate a more grounded direct relationship.
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A roll of copper tubing is 50 ft. long. If gas range connectors must be 30 in. long, how many connectors can be cut from the roll of tubing? (Ignore cutting waste.)
Adam calculates his annual salary (base pay and commission), y, using the model y = 0.28x + 38,000, where x represents his total sales for the year. What is the meaning of the y-intercept in the model?
A. The y-intercept represents Adam's base pay
B. The y-intercept represents the highest salary Adam can earn
C. The y-intercept represents Adam's total sales when he earned no commission
D. The y-intercept represents Adam's commission pay when he had zero total sales
the y-intercept represents Adam's commission pay when he had zero total sales
Answer: A
Step-by-step explanation:
The Y intercept is his base pay, because no matter what he is getting 38,000. So, his total salary will always start out at 38,000 then continue up with commission sales.
In DEF, f= 960 inches, m/D=101° and mZE=27°. Find the length of e, to the
nearest 10th of an inch.
The length of the side e for the triangle ∆DEF is equal to 553.1 inches to the nearest tenth tenth of an inch using the sine rule.
What is the sine ruleThe sine rule is a relationship between the size of an angle in a triangle and the opposing side.
We shall first evaluate for the angle m∠F and then solve for the e using the sine rule as follows:
m∠F = 180° - (27 + 101) {sum of interior angles of a triangle}
m∠F = 52°
e/sin27 = 960/sin52
e = (960 × sin27)/sin52 {cross multiplication}
e = 553.0773
Therefore, the length of the side e for the triangle ∆DEF is equal to 553.1 inches to the nearest tenth tenth of an inch using the sine rule.
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Does the long division process end or does it continue indefinitely?
Answer:
It depends, sometimes it continues with a pattern in the decimal places, sometimes it ends.
Step-by-step explanation:
What is the surface area of this composite figure? The slant height of the cone is 3. The height of the cone is approximately 1.658. (It is all one figure. Watch for surfaces that are not needed in your formulas because they are not actually surfaces in this figure.)
150л units²
125л units³
100л units²
Answer:
125pi units cubed
Step-by-step explanation:
Find the length of BC with work
Answer:
Step-by-step explanation:
add c with b and then add a multiply 30 and divide by 12
how do you do this question, I can't seem to get the answer
Answer:
74π cm²
Step-by-step explanation:
You want to know the painted area of a cone 10 cm in diameter and 12 cm high that has an unpainted hole in the base that has a 4 cm radius.
Lateral areaThe area of the curved surface of the cone is found using the given formula. To use that formula, we need to know the slant height of the cone. The slant height is the hypotenuse of a right triangle that is 12 cm high and has a base of 5 cm:
l² = r² +h²
l = √(5² +12²) = √(25 +144) = √169
l = 13 . . . . cm
Then the lateral area is ...
LA = πrl = π(5 cm)(13 cm) = 65π cm²
Base areaThe painted area of the base is the difference between the areas of circles 5 cm in radius and 4 cm in radius:
A = π(r₁² - r₂²) = π((5 cm)² -(4 cm)²) = π(25 -16) cm² = 9π cm²
Total painted areaThe painted area is the sum of the areas of the curved surface and the donut base:
A = 65π cm² +9π cm² = 74π cm²
__
Additional comment
The radius of the base is half the diameter. If you slice the cone through its vertex and perpendicular to its base, the cross section is an isosceles triangle with height 12 cm and base 10 cm. The altitude of that triangle divides it into two congruent right triangles that have base 5 cm and height 12 cm.
You may recognize this as the {5, 12, 13} right triangle, which tells you the slant height is 13 cm. If not, you can use the Pythagorean theorem to find the slant height, as above.
A student had 50 minutes of homework on Monday and 30 minutes of homework on Tuesday. What is the percent decrease in homework time from Monday to Tuesday?
If a student had 50 minutes of homework on Monday and 30 minutes of homework on Tuesday, then there was a 40% decrease in homework time from Monday to Tuesday.
To calculate the percent decrease in homework time from Monday to Tuesday, we need to find the difference between the two values and then divide that difference by the original value (Monday’s homework time). The difference between 50 minutes and 30 minutes is 20 minutes. Dividing this difference by the original value (50 minutes) gives us:
(20 / 50) x 100% = 40%
Therefore, there was a 40% decrease in homework time from Monday to Tuesday.
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How do the sulotions of the two inequalities differ are any sulotions the same x+5<8 and x+5>8 B x+5_< 8 and x+5_>8
Solution set for both inequalities is x ≤ 3 and x ≥ 3, which can be written as x = 3.
The two inequalities are: x + 5 < 8 and x + 5 > 8. The first inequality states that the sum of x and 5 is less than 8, while the second inequality states that the sum of x and 5 is greater than 8.
To solve the first inequality, we need to isolate x by subtracting 5 from both sides of the inequality: x < 3. This means that any value of x that is less than 3 will satisfy the inequality.
To solve the second inequality, we need to isolate x by subtracting 5 from both sides of the inequality: x > 3. This means that any value of x that is greater than 3 will satisfy the inequality.
The solutions of the two inequalities differ in terms of the values of x that satisfy each inequality. The first inequality has a solution set that consists of all values of x less than 3, while the second inequality has a solution set that consists of all values of x greater than 3. Therefore, the solutions of the two inequalities do not overlap.
The second set of inequalities are x + 5 ≤ 8 and x + 5 ≥ 8. The first inequality states that the sum of x and 5 is less than or equal to 8, while the second inequality states that the sum of x and 5 is greater than or equal to 8.
To solve the first inequality, we need to isolate x by subtracting 5 from both sides of the inequality: x ≤ 3. This means that any value of x that is less than or equal to 3 will satisfy the inequality.
To solve the second inequality, we need to isolate x by subtracting 5 from both sides of the inequality: x ≥ 3. This means that any value of x that is greater than or equal to 3 will satisfy the inequality.
The solutions of the two inequalities in this case do overlap. The common solution is x = 3, which satisfies both inequalities since it is both less than or equal to 8 and greater than or equal to 8. Therefore, the solution set for both inequalities is x ≤ 3 and x ≥ 3, which can be written as x = 3.
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Please solve this equation
24+0. 44x=19+1. 69x
Given equation is: 24+ 0.44x = 19+ 1. 69x is x = 4.
Equation:
In mathematics, an equation is a formula that connects two expressions with the equal sign = to indicate that they are equal. Solving an equation involving variables involves determining which values of the variables make the equation true. The variables for which the equation must be solved are also called unknowns, and the values of the unknowns that satisfy the equation are called solutions of the equation. There are two types of comparisons: identity comparisons and conditional comparisons. The identity is true for all values of the variable. A conditional comparison is only true for certain values of a variable.
According to the Question:
Given equation:
24+0. 44x = 19+ 1. 69x
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
24 - 19 = 1.69x - 0.44x
⇒ 5 = 1.25x
⇒ x = 5/1.25
⇒ x = 4
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A submarine dives 240 meters below the surface of the water and then rises 65 meters.
Which integer describes the position of the submarine in relation to the surface of the
water?
A. -305 m
B. -175 m
C.175 m
D 305 m
Answer:
B
Step-by-step explanation:
-240 +65 = -175
(We use a -240 instead of 240 because it's below water.) :)
What are the perimeter and area of triangle XYZ ?
Answer:
B) P = 42; A = 84
Step-by-step explanation:
Perimeter:
You have two right triangles, so you need to find the third side length.
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]5^{2}[/tex] + [tex]12^{2}[/tex] = [tex]c^{2}[/tex]
25 + 144 = [tex]c^{2}[/tex]
169 = [tex]c^{2}[/tex]
[tex]\sqrt{169}[/tex] = [tex]\sqrt{c^{2} }[/tex]
13 = c
The top right missing outside length is 13
We do the same thing to find the missing bottom outside.
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]12^{2}[/tex] + [tex]9^{2}[/tex] = [tex]c^{2}[/tex]
144 + 81 = [tex]c^{2}[/tex]
225 = [tex]c^{2}[/tex]
[tex]\sqrt{225}[/tex] = [tex]\sqrt{c^{2} }[/tex]
15 = c
The perimeter of triangle xyz is 5 + 9 + 13 + 15 = 42 units
Area:
a = 1/2 bh
a= 1/2 (5 + 9) (12)
a = 1/2 (14)(12)
a = 84 [tex]units^{2}[/tex]
Helping in the name of Jesus.
Subtract: 22²+8242²+122-16
O22²+122-12
4(x+4)(x-1)
O -x²+12x-12
4x(x+4)(x-1)
-2²+6x-6
о 22(x+4)(x-1)
H
-2x²+12-12
2(x+4)(x-1)
=
6-2(x-1)
6
2x(x+4)= 4(x+4)(x-1) = 2z(x+4)-2(x-1)
x.x
4(x+4)(x-1)-
Answer:
the correct answer is the second one
Step-by-step explanation:
I will add a photo of my solution, because there's a lot to type here
multiply the y-value of each point by 1/2 and drag the blue point to its new location.
The function y = ∛x when transformed is added as an attachment
Transforming the functionFrom the question, we have the following parameters that can be used in our computation:
y = ∛x
When the y values are multiplied by 1/2 the rule is
(x, 1/2y)
To transform the function y = ∛x by the point (x, 1/2y), we can use the following steps:
Replace y with 1/2y in the original function: y = ∛x becomes 1/2y = ∛xSolve for y: multiply both sides by 2 to get y = 2∛xTherefore, the transformation by the point (x, 1/2y) is y = 2∛x
See attachment for the graph
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Evaluating functions
Linear and quadratic or cubic
Answer:
f(3) = -39g(-6) = -28Step-by-step explanation:
You want f(3) and g(-6) when f(x) = -4x² -3 and g(x) = 5x +2.
Function evaluationTo find the value of the function for a particular value of the variable, put that value in place of the variable and do the arithmetic.
f(3) = -4(3²) -3 = -4(9) -3 = -36 -3
f(3) = -39
g(-6) = 5(-6) +2 = -30 +2
g(-6) = -28
__
Additional comment
Your calculator can help with the arithmetic.
8x=-10y slope and y intercept
Answer:
To solve the equation 8x = -10y for the slope and y-intercept, we need to first rearrange it into the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
To do this, we can divide both sides of the equation by -10, which gives us:
y = (-8/10)x
Simplifying further, we get:
y = (-4/5)x
Therefore, the slope of the line represented by this equation is -4/5. This means that for every increase of 1 in x, y decreases by 4/5.
To find the y-intercept, we can set x to 0 and solve for y:
y = (-4/5)(0)
y = 0
Thus, the y-intercept is 0.
In summary, the slope of the line represented by 8x = -10y is -4/5 and its y-intercept is 0.
Step-by-step explanation:
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Answer: x=5y/4
Step-by-step explanation:
8x=10y
Divide both sides by 8
8x/8 = 10y/8
8x divided by 8, will cancel out resulting in x.
So, your final answer will be x=5y/4
What is the square root of 16?
Students in ms seiko's made a line plot of the number of books they read over the summer what two numbers of books read occur the least frequently enter your answers in the boxes in increasing order
The two numbers of books read that occur the least frequently are 7 and 15.
To determine which two numbers occur the least frequently, we need to count the number of tally marks for each number on the line plot. Based on the line plot, we can see that the number of tally marks for each number is as follows:
7: 1 tally mark
8: 2 tally marks
9: 3 tally marks
10: 4 tally marks
11: 2 tally marks
12: 4 tally marks
13: 3 tally marks
14: 2 tally marks
15: 1 tally mark
The two numbers that occur the least frequently are 7 and 15, as they each have only one tally mark.
Therefore, the answers to the question are: 7 in the first box and 15 in the second box.
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Students in ms seiko's made a line plot of the number of books they read over the summer.
books read
7 8 9 10 11 12 13 14 15
what two numbers of books read occur the least frequently enter your answers in the boxes in increasing order?
In how many ways can 8 distinguishable rooks be placed on an 8 × 8 chessboard so that none can capture any other, namely no row and no column contains more than one rook? For example, in a 2 × 2 chessboard, you can place 2 rooks labled 'a, and 'b' in 4 ways. There are 4 locations to place'a', and that location determines the location of b'.
There are 40,320 ways to place 8 distinguishable rooks on an 8 × 8 chessboard so that none can capture any other.
In order to place 8 distinguishable rooks on an 8 × 8 chessboard so that none can capture any other, we need to place one rook in each row and each column exactly once.
The first row can be filled in 8 ways, as there are 8 columns to choose from. The second row can be filled in 7 ways, as we cannot choose the column that has already been filled in the first row. Continuing in this way, we see that the number of ways to place 8 distinguishable rooks on an 8 × 8 chessboard is:
8! = 40,320
Therefore, there are 40,320 ways to place 8 distinguishable rooks on an 8 × 8 chessboard so that none can capture any other.
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Triangle RST was dilated by a scale factor of 3 to create triangle LMN. What is true about the special relationship between the trigonometric ratios of the two triangles? Choose ALL that apply.
A.
sin angle R = ST/RT
B.
sin angle L = 3(ST)/3(RT)
C.
sin angle R = 3(MN)/3(LM)
D.
sin angle L= MN/NL
The answers are sin angle R = ST/RT and sin angle L = 3(ST)/3(RT) Fοr the given questiοn trigοnοmetry.
Thus option A & B are correct.
What is trigοnοmetric ratiοs?Trigοnοmetric ratiοs are mathematical relatiοnships between the sides and angles οf a right triangle. The three main trigοnοmetric ratiοs are sine, cοsine, and tangent, abbreviated as sin, cοs, and tan.
The sine οf an angle is the ratiο οf the length οf the side οppοsite the angle tο the length οf the hypοtenuse. The cοsine οf an angle is the ratiο οf the length οf the adjacent side tο the length οf the hypοtenuse. The tangent οf an angle is the ratiο οf the length οf the οppοsite side tο the length οf the adjacent side. These ratiοs are useful in sοlving prοblems invοlving right triangles and have many applicatiοns in fields such as physics, engineering, and navigatiοn.
We knοw that when a triangle is dilated by a scale factοr οf k, all cοrrespοnding sides are multiplied by k, and all cοrrespοnding angles remain cοngruent.
Using this fact, we can determine the relatiοnships between the trigοnοmetric ratiοs οf the twο triangles:
A. Sin angle R = ST/RT is true fοr bοth triangles, as the sine οf an angle is defined as the ratiο οf the οppοsite side tο the hypοtenuse, which dοes nοt change when dilated.
B. Sin angle L = 3(ST)/3(RT)simplifies tο Sin angle L = ST/RT, which is true fοr bοth triangles (as shοwn in part A).
C. Sin angle R = 3(MN)/3(LM) simplifies tο sin angle R = MN/LM, which is nοt necessarily true. This is because the cοrrespοnding sides οf the triangles are nοt prοpοrtiοnal tο each οther.
D. Sin angle L = MN/NL is nοt necessarily true fοr the same reasοn as in part C.
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2. The given table provides four points along a line. What is the slope of the line in simplest form?
A. 1/2
B. -1/2
C. 2
D. -2
Therefore, the slope of the line passing through the given points is -1/2.
What is slope?In mathematics, the slope is a measure of the steepness of a line. It refers to the ratio of the vertical change to the horizontal change between any two points on the line. The slope of a line is often denoted by the letter "m."
For a given line, the slope is calculated by taking any two points on the line, [tex](y_{1} ,y_{2}[/tex] and [tex](x_{1} ,x_{2}[/tex] and applying the formula:
slope [tex]m= (y_{2} -y_{1})/(x_{2}-x_{1})[/tex]
The slope can be positive, negative, zero, or undefined, depending on the direction and steepness of the line. A positive slope means that the line is increasing as you move from left to right, while a negative slope means that the line is decreasing. A zero slope means that the line is horizontal, and an undefined slope means that the line is vertical.
by the question.
To find the slope of the line passing through the given points, we can use the slope formula:
slope = (change in y)/(change in x)
Let's choose the first point (-8, -21) and the last point (10, -30) to calculate the slope:
change in y = -30 - (-21) = -9
change in x = 10 - (-8) = 18
slope = (-9)/18 = -1/2
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