Answer:
BC = 3
Step-by-step explanation:
If you picture A, B, and C on a line, the first part of the line, AB, has a length of 5 and the total line, AC, has a length of 8 . Means that the second part of the line, BC, has a length of 3 because you would add the length of both the first and second part of the line in order to get the total length of the line.
AB + BC = AC
5 + BC = 8
BC = 3
Steven earns extra money babysitting. He charges $25.00 for 4 hours and $43.75 for 7 hours.
Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.
Answer:
An easy way to solve this problem is divide $25.00 by 3 or $43.75 by 7. This number represents the amount of money he makes for 1 hour. So with that in mind, the correct equation is:
$8.33 = y
Hope this helped :)!
multiple and divide signed numbers
Answer:
the answer is 9
Step-by-step explanation:
I need help!! Its so hard for me i tryed so many times and still no answers
7:1 2:14 3:21 4:28 5:35 6:42 7:49
Hope you do your best
Vertex (3,2) and point(2,-3) written in vertex form
Answer:
which principle prevents a brach from abusing its power
Step-by-step explanation:
which principle prevents a brach from abusing its power
find three ratios that are equivalent to 20:25
Answer:
4/5 , 40/50, 80/100
Step-by-step explanation:
Please help!
Let triangle ABC be an isosceles triangle where angle ABC is congruent to angle BCA. Prove that the sides (AB and AC) opposite the congruent base angles of a triangle are congruent.
I constructed line AD as a perpendicular bisector of line BC. Angles BDA and CDA are both 90 degrees because of the construction of a perpendicular bisector. Angles BDA and CDA are congruent because of the transitive property of equality. Line BD is also equal to CD according to the definition of a perpendicular bisector. Triangles ABD and ACD are congruent by the angle side angle postulate. Since the parts of the congruent triangles are congruent, lines AB and AC are congruent.
The sides AB and AC opposite the congruent base angles of a triangle are congruent.
What is an isosceles triangle?An isosceles triangle is a triangle with (at least) two equal sides. A polygon that consists of two equal sides, two equal angles, three edges, three vertices and the sum of internal angles of a triangle equal to 180°.
For the given situation,
Triangle ABC be an isosceles triangle.
∠ABC ≅ ∠BCA.
The diagram below shows an isosceles triangle ABC with AD is the perpendicular bisector of BC.
The perpendicular bisector AD divides the line BC as BD and DC.
Then, BD = DC.
We get triangles ΔADB and ΔADC,
AD = AD [∵ common side]
⇒ [tex]\angle ADB = \angle ADC=90[/tex]
Thus by ASA theorem,
The two triangles ΔADB and ΔADC are similar.
Then by CPCT theorem,
Side AB ≅ AC.
Therefore the sides AB and AC opposite the congruent base angles of a triangle are congruent.
Hence we can conclude that the sides AB and AC opposite the congruent base angles of a triangle are congruent.
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I need help please :)
Answer:
see below
Step-by-step explanation:
f(x) = 4x-3
Let x=-4
f(-4) = 4*-4 -3 = -16-3 = -19
Let x=-3
f(-3) = 4*-3 -3 = -12-3 = -15
Let x=1
f(1) = 4*1 -3 = 4-3 = 1
Let x=4
f(4) = 4*4 -3 = 16-3 = 13
Let x=5
f(5) = 4*5 -3 = 20-3 = 17
Answer:
First one:-19
Second one:-15
Third one:1
Fourth one:13
Fifth one:17
HOPE THIS HELPS :)
Step-by-step explanation:
What is 12 plus 364 divided by 2/7?
Answer:1316
Step-by-step explanation:
Answer:
thanks
Step-by-step explanation:
I want explaintationIf an individual is selected at random, what is the probability that he or she has a birthday in July? Ignore leap years.
The probability is [tex]\frac{31}{365}[/tex] , If an individual is selected at random have birthday in July .
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Probability(Event) = [tex]\frac{Favorable Outcomes}{Total Outcomes}[/tex] = [tex]\frac{x}{n}[/tex]
According to the question
Total number of days in year = 365
Total number of days in a leap year = 366
As, given Ignore leap years
So, we will take days of years as 365 .
Now,
he or she has a birthday in July
i.e ,
It can be be happen any day of July
Total days in July = 31
Now,
Probability(Event) = [tex]\frac{Favorable Outcomes}{Total Outcomes}[/tex] = [tex]\frac{x}{n}[/tex]
substituting the value
Probability(Event) = [tex]\frac{Total\\\ day\\\ in\\\ July }{Total\\\ days\\\ in\\\ year}[/tex]
Probability(Event) = [tex]\frac{31}{365}[/tex]
Hence, If an individual is selected at random the probability have birthday in July is [tex]\frac{31}{365}[/tex] .
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what is the gcf of x5 and x7
Answer:
Step-by-step explanation:
the gcf of that is X
1) _______ is caused by the weight of air above an area. *
atmospheric pressure
high pressure
low pressure
2) _________ creates less pressure on the barometer *
high pressure
low pressure
3) _______ creates greater pressure on the barometer. *
high pressure
low pressure
4) Read the following statement and determine if it describes high pressure or low pressure. As air cools, it becomes more dense and sinks toward the Earth's surface spinning clockwise. *
high pressure
low pressure
In an effort to make children’s toys safer and more tamperproof, toy packaging has become cumbersome for parents to remove in many cases. Accordingly, the director of marketing at Toys4Tots, a large toy manufacturer, wants to evaluate the effectiveness of a new packaging design that engineers claim will reduce customer complaints by more than 10 percentage points. Customer satisfaction surveys were sent to 220 parents who registered toys packaged under the old design and 220 parents who registered toys packaged under the new design. Of these, 86 parents expressed dissatisfaction with packaging of the old design, and 41 parents expressed dissatisfaction with packaging of the new design.
Let p1 represent the population proportion of parents that expressed dissatisfaction with the packaging of the old design and p2 represent the population proportion of parents that expressed dissatisfaction with the packaging of the new design.
A. Specify the null and alternative hypotheses to test for whether the proportion of customer complaints has decreased by more than 5% under the new packaging design.
1. H0 : p1 - p2 < 0.10; HA : p1 - p2 > 0.10
2. H0 : p1 - p2 = 0.10; HA : p1 - p2 is not equal to 0.10
3. H0 : p1 - p2 > 0.10; HA : p1 - p2 < 0.10
B. What is the value of the test statistic and the associated p-value?
C. At the 1% significance level, do the results support the engineers' claim?
D. At the 10% significance level, do the results support the engineers' claim?
Answer:
Explained below.
Step-by-step explanation:
(a)
In this case we need to determine if the proportion of customer complaints has decreased by more than 10% under the new packaging design.
The hypothesis can be defined as follows:
H₀: The proportion of customer complaints has not decreased by more than 10% under the new packaging design, i.e. p₁ - p₂ ≤ 0.10.
Hₐ: The proportion of customer complaints has decreased by more than 10% under the new packaging design, i.e. p₁ - p₂ > 0.10.
(b)
The information provided is:
n₁ = 220
n₂ = 220
X₁ = 86
X₂ = 41
Compute the sample proportions and total proportions as follows:
[tex]\hat p_{1}=\frac{X_{1}}{n_{1}}=\frac{86}{220}=0.3909\\\\\hat p_{2}=\frac{X_{2}}{n_{2}}=\frac{41}{220}=0.1864\\\\\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{86+41}{220+220}=0.2886[/tex]
Compute the test statistic value as follows:
[tex]z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)[\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}[/tex]
[tex]=\frac{0.3909-0.1864}{\sqrt{0.2886(1-0.2886)\times[\frac{1}{220}+\frac{1}{220}]}}\\\\=\frac{0.2045}{\sqrt{0.0018665}}\\\\=4.733524\\\\\approx 4.73[/tex]
The test statistic value is 4.73.
Compute the p-value as follows:
[tex]p-value=P(Z>4.73)[/tex]
[tex]=1-P(Z<4.73)\\=1-(\approx 1)\\=0[/tex]
The p-value of the test is 0.
(c)
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
p-value = 0 < α = 0.01.
The null hypothesis will be rejected at 1%significance level.
Thus, there is enough evidence at 1% significance level to support the engineers' claim.
(d)
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
p-value = 0 < α = 0.10.
The null hypothesis will be rejected at 10%significance level.
Thus, there is enough evidence at 10% significance level to support the engineers' claim.
Maple tree diameters in a forest area are normally distributed with mean 10 inches and standard deviation 2.2 inches. Find the proportion of trees having a diameter less than 9 inches.
Answer:
0.32472
Step-by-step explanation:
Maple tree diameters in a forest area are normally distributed with mean 10 inches and standard deviation 2.2 inches. Find the proportion of trees having a diameter less than 9 inches.
The formula for calculating a z-score is z = (x-μ)/σ
where x is the raw score
μ is the population mean
σ is the population standard deviation
z = (9 - 10)/2.2
z = -1/2.2
= -0.45455
Probability value from Z-Table:
P(x ≤ 9) = P(x < 9)
= 0.32472
Therefore, the proportion of trees having a diameter less than 9 inches is
0.32472
The proportion of trees having a diameter less than 9 inches is 32.64%
z score is used to determine by how many standard deviations the raw score is above or below the mean.
It is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x\ is\ raw\ score.\mu\ is\ mean,\sigma\ is \ standard \ deviation[/tex]
Given that μ = 10, σ = 2.2, hence:
[tex]For\ x<9:\\\\z=\frac{9-10}{2.2} =-0.45[/tex]
From the normal distribution table, P(x < 9) = P(z < -0.45) = 0.3264 = 32.64%
The proportion of trees having a diameter less than 9 inches is 32.64%
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what is the mean (average) of 2,4,5,6,8
Answer:
5
Step-by-step explanation:
In order to figure out average, we need to add up all the numbers. So adding 2, 4, 5, 6, and 8 gives us 25. We now divide that total by the total number of terms we used to reach 25. So since we had 5 numbers, we divide 25 by 5 to get an average of 5.
Answer:
5.
Step-by-step explanation:
To find mean. you just add all the numbers up and divide by the number of numbers (5).
2+4+5+6+8=25
25/5=5
How to estimate the sums and differences
Find the product of 7 and 4.76.
Answer:
33.32
Explantion: 7x4.76
What are the roots of the quadratic equation x²-81=0
Answer:
What are the roots of the quadratic equation x²-81=0
Answer:
x = ± 9
Step-by-step explanation:
Given
x² - 81 = 0 ( add 81 to both sides )
x² = 81 ( take the square root of both sides )
x = ± [tex]\sqrt{81}[/tex] = ± 9
Thus roots are x = - 9, x = 9
Manuel has 5/8 of a pizza to share equally with his brother. What fraction of the original pizza will each person receive?
Answer:
1¼
Step-by-step explanation:
⅝ ÷½
=⅝ײ/1
=⁵/4
=1¼
Whenever you divide two fractions you rewrite it switching the division sign for multiplication and writing the reciprocal of the second fraction.
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
5/8 of the pizza is equally shared between two people.
The fraction of the original pizza that each person receives is 5/16 of the pizza.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Amount of pizza = 5/8
Equally shared between two people:
= 5/8 ÷ 2
= 5/(8x2)
= 5/16
This means that the fraction of the original pizza that each person receives is 5/16 of the pizza.
Thus,
5/8 of the pizza is equally shared between two people.
The fraction of the original pizza that each person receives is 5/16 of the pizza.
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Which figure represents an undefined term?
A line extends right and up from point X through point Y with an arrow instead of an endpoint.
A line connects point X and point Y.
A line extends right and up from point X through point Y with an arrow instead of an endpoint. A line extends right and down from point X through point W with an arrow instead of an endpoint.
A line extends both directs between point X and point Y.
The undefined term should be considered when A line extends both directs between point X and point Y.
What is an undefined term?In terms of geometry, the undefined term should represent the main object where the rest of the objects should be considered as the line, point, and the plane.
So when there is the line extension that lies between point x and point Y so it should be an undefined term.
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Answer:
Option D
Step-by-step explanation:
yes
Let xy=6 and x2 + y2 = 23 what is the value of (x+y)^2?
[Hint expand out (x+y)^2?]
Answer:
[tex](x + y) {}^{2} \\ = x {}^{2} + 2xy + y {}^{2} \\ = x {}^{2} + y {}^{2} + 2xy \\ = 23 + 2 \times 6 \\ = 23 + 12 \\ = 35 \\ \\ therefore \: the \: value \: \\ of \: (x + y) {}^{2} is \: 35.[/tex]
35 is the correct answer.....Hopes to get BRAINLIEST......Thank you ☺️
Emily bought 2 kilograms of rice for $6.25.
Select True or False for each statement.
O True
O False
The product (25) will give the unit price of one kilogram of rice.
0 True
O False
Emily paid less than $1.50 per kilogram of rice.
O True
O False
If Emily has $1.00 to spend on rice, she can get io of a kilogram of rice.
#CarryOnLearning
Answer:
1.) False
The product [tex]\bold{\frac{5}{2}}[/tex]([tex]\bold{\frac{4}{25}}[/tex]) will give the unit price of one kilogram of rice.
2.) False
Emily paid less than $1.50 per kilogram of rice.
3.) True
If Emily has $1.00 \:to\: spend\: on\: rice, she\: can\: get [tex]\frac{4}{10}[/tex]$ of a kilogram of rice.
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I really need help with this ?
Answer:
j
Step-by-step explanation:
Can somebody pls answer these three questions pls!!!!ASAP
Answer:
1) x=1
2) x=6
3) x=3
Step-by-step explanation:
i just did them :) good luck
The standard deviation from the National Health and Nutrition Survey is 1.29 hours. What is the variance (rounded to the hundredth place) ?
Answer:
variance = 1.66 hours
Step-by-step explanation:
It is given that,
The standard deviation from the National Health and Nutrition Survey is 1.29 hours.
We need to find the variance. We know that the relationship between the variance and the standard deviation is given by :
[tex]\text{Variance }=\text{standard deviation}^2\\\\\text{Putting all the values, we get :}\\\\\text{Variance }=(1.29)^2\\\\\text{Variance }=1.664\ \text{hours}[/tex]
or
Variance = 1.66
So, the variance is 1.66 hours.
HELP !!!
Find the equation of a line parallel to -3x - 5y = 4 that contains the point (4,3). Write the equation in slope-intercept
form
9514 1404 393
Answer:
y = -3/5x +27/5
Step-by-step explanation:
Since we want a parallel line, we can use the same x- and y-coefficients to find the new constant in the given form:
-3(4) -5(3) = -12 -15 = -27
In the given form, the equation of the desired line is ...
-3x -5y = -27
Solving for y, we have ...
-5y = 3x -27
y = -3/5x +27/5
need help asap please help
Consider the following figure where l1 and l2 are parallel and cut by transversals g1
and g2.
Part A: Determine the values of M, N, V and R.
Answer:
m: 88
n: 112
v: 88
r: 112
Step-by-step explanation:
A florist has 80 flowers. She ties 3 flowers together in each bunch. If she makes as many bunches of 3 flowers as possible, how many flowers are left over?
A gas company uses formula c=26+0.05 t worI out the charge t a customer each month
Answer:
more info please!!!
Step-by-step explanation:
What is the product of the 3rd square number and the 3rd square number
Answer:
3² x 3² = 9 x 9 = 81
Step-by-step explanation:
hope it helps you