Answer:
3.16
Step-by-step explanation:
Given data
points (-4,-5) and (3, -1)
x1=-4
y1=-5
x2=3
y2=-2
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((3-4)²+(-2-(-5))²)
d=√((-1)²+(-2+5)²)
d=√1+(3)²
d=√1+9
d=√10
d=3.16
Hence the distance is 3.16
find the volume of cuboid whose Length breadth and height are 3cm 4cm and 5cm respectively
Answer:
volume of cuboid(v)=l*b*h
3cm*4cm*5cm
60cm cube
how many 15/16 pins can be cut from a 3 foot rod if 3/32 waste is allowed for each cut?
Answer:
(15/16)" + (3/32)" = (33/32)" = 1.03125" of material from the rod. since each pin needs to be (15/16)" = 0.9375" we have enough rod for one more pin.
A group of 80 people who had been diagnosed as prediabetic because of high blood glucose levels volunteered to participate in a study designed to investigate the use of cinnamon to reduce blood glucose to a normal level. Of the 80 people, 40 were randomly assigned to take a cinnamon tablet each day and the other 40 were assigned to take a placebo each day. The people did not know which tablet they were taking. Their blood glucose levels were measured at the end of one month. The results showed that 14 people in the cinnamon group and 10 people in the placebo group had normal blood glucose levels. For people similar to those in the study, do the data provide convincing statistical evidence that the proportion who would be classified as normal after one month of taking cinnamon is greater than the proportion who would be classified as normal after one month of not taking cinnamon?
a. No conclusion can be made about the use of cinnamon because the people in the stuey were volunteers
b. There is convincing statistical evidence at the level of 0.01
c. There is convincing statistical evidence at the level of 0.05 but not at the ver.01
d. There is convincing statistical evidence at the level of 0.10 any reason
e. There is not convincing statistical evidence
Answer:
E
Step-by-step explanation:
AP Classroom says so.
The data doesn't provide convincing statistical evidence for considered proportion comparison. We deduce that: Option E: There is not convincing statistical evidence
How to form the hypotheses?There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test. The hypothesis which we put against null hypothesis is alternate hypothesis.
Null hypothesis is the one which researchers try to disprove.
How to calculate the value of z-test statistic for two sample proportions?Suppose we have:
[tex]\hat{p}_1[/tex] = first sample's proportion[tex]n_1[/tex] = first sample's size[tex]\hat{p}_2[/tex] = second sample's proportion[tex]n_2[/tex] = first sample's size[tex]\hat{p}[/tex] = overall proportionThen, we get:
[tex]Z = \dfrac{\hat{p}_1 - \hat{p}_2}{\sqrt{\hat{p}(1-\hat{p}_1 )(\dfrac{1}{n_1} + \dfrac{1}{n_2}) }}[/tex]
If the level of significance = [tex]\alpha[/tex]critical value of Z is: [tex]Z_{\alpha/2}[/tex], and if [tex]Z > Z_{\alpha/2}[/tex]null hypothesis, else if [tex]Z_{\alpha/2} > Z[/tex] then we cannot reject it.
For this case, we want to know if the data provides convincing statistical evidence that the proportion who would be classified as normal after one month of taking cinnamon is greater than the proportion who would be classified as normal after one month of not taking cinnamon.
Thus, we get our hypotheses as:
Null hypotheses: They don't provide convincing evidence (and thus, cinnamon had no improvement on the proportion), and thus:
[tex]H_0: \hat{p}_1 \leq \hat{p}_2[/tex]
Alternate hypothesis: Data provides convincing evidence (that the use of cinnamon made increment in considered proportion), and thus:
[tex]H_a: \hat{p}_1 > \hat{p}_2[/tex]
The test is single tailed.
For this case, we have:
[tex]x_1[/tex] = quantity of intended object found in first sample = 14 (of those who take cinnamon tablets each day)[tex]n_1[/tex] = first sample's size = 40[tex]\hat{p}_1 = x_1/n_1 = 14/40 =0.35[/tex] [tex]x_2[/tex] = quantity of intended object found in second sample = 10 (of those who take placebo each day)[tex]n_2[/tex] = second sample's size = 40[tex]\hat{p}_2 = x_2/n_2 = 10/40 =0.25[/tex][tex]\hat{p}[/tex] overall proportion = [tex](x_1 + x_2)/(n_1 + n_2) = (10 + 14)/80 = 0.3[/tex]Thus, we get:
[tex]Z = \dfrac{\hat{p}_1 - \hat{p}_2}{\sqrt{\hat{p}(1-\hat{p}_1 )(\dfrac{1}{n_1} + \dfrac{1}{n_2}) }} =\dfrac{0.35 - 0.25}{\sqrt{0.3(0.7 )(\dfrac{1}{40} + \dfrac{1}{40}) }} \approx 0.976[/tex]
At 0.01 level of significance ([tex]\alpha = 0.01 = 1\%[/tex]), we get the critical value of Z from z-tables as:
[tex]Z_{\alpha/2} = 2.576[/tex]
Since [tex]Z_{\alpha/2} > Z[/tex] , we cannot reject the null hypothesis, and thus, deduce that there is not convincing statistical evidence at the level of 0.01
At 0.05 level of significance ([tex]\alpha = 0.05 = 5\%[/tex]), we get the critical value of Z from z-tables as:
[tex]Z_{\alpha/2} = 1.96[/tex]
Since [tex]Z_{\alpha/2} > Z[/tex] , we cannot reject the null hypothesis, and thus, deduce that there is not convincing statistical evidence at the level of 0.05
At 0.10 level of significance ([tex]\alpha = 0.10 = 10\%[/tex]), we get the critical value of Z from z-tables as:
[tex]Z_{\alpha/2} = 1.645[/tex]
Since [tex]Z_{\alpha/2} > Z[/tex] , we cannot reject the null hypothesis, and thus, deduce that there is not convincing statistical evidence at the level of 0.10
Remember that the conclusions can be made even if they were volunteers since that doesn't make it wrong as volunteers are randomly coming out people from real population.
Thus, we deduce that: Option E: There is not convincing statistical evidence
Learn more about two proportions z-test here:
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simplify
[tex] {a}^{2} - {b}^{2} [/tex]
Answer:
a² - b²
= (a+b) (a-b)
Hope it helps!
show me 1/3 on a number line
Answer:
A possible number line is shown below.
Step-by-step explanation:
I-----------------I----------------I
0 1/3 1
Answer:
Step-by-step explanation:
Match the proportion to the correct value of x .
1. [x/9] = [4/3] A. x= -32
2. [3/x] = [5/8] B. x=16
3. [(x+4)/10] = [4/2] C. x= 12
4. [(x+4)/2] = [(x-10)/3] D. x=4.8
Answer:
1. C
2. D
3. B
4. A
Step-by-step explanation:
Answer:
1. C
2. D
3. B
4. A
Step-by-step explanation:
1: One shelf is 65cm long. Another shelf is 78cm long. What
is their total length in metres?
Answer:
1.43 Metres
Step-by-step explanation:
Since 1 Metre is equal to 100 centimetres, and 65 + 78 is 143 centimetres, to convert it to METRES we need to divide 143 by a hundred, making the output become 1.43 METRES.
The sum of the lengths of the shelves are 143 cm.
What are some alternative names for arithmetic operations?Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
Given, One shelf is 65cm long. Another shelf is 78cm long.
Therefore, The sum of the lengths of the two trucks would be the sum of the individual lengths of the shelf which is,
= (65 + 78) cm.
= 143 cm.
learn more about arithmetic operations here :
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#SPJ2
anyone help me pls:
1/9 - 3/4
Answer:
- 23/36
Step-by-step explanation:
Make sure both fractions of the denominators are the same.
1 x 4 = 4
9 x 4 = 36
3 x 9 = 27
4 x 9 = 36
Final: 4/36 - 27/36 = - 23/36
1. Which of the following sets of integers is arranged in order from LEAST to GREATEST?
Oi-1.5 - 9
O (1. - 5. - 10)
O (12. - 8,0)
O { - 13. - 12,9)
Answer:
Last option:
(-13, -12, 9)
Step-by-step explanation:
Here you need to look at a number line.
(an infinite line with the zero in the middle, at the left we have the negative numbers which increase to the left, and at the right, we have the positive numbers that increase to the right)
for any two pair of numbers in the number line, the number at the right is larger than the number at the left.
So for example, -10 is at the left of -3
Then:
-10 < -3.
Then a set is ordered from least to greatest if:
first we have the largest negative numbers
then the smaller negative numbers
then the zero (if there is a zero)
then the smaller positive numbers
then the largest positive numbers.
The only set that meets this condition is the last one:
(-13, -12, 9)
Why the others not meet this condition?
in the first one we have -9 after 5, and we know that -9 < 5
in the second one we actually have an order from greatest to least.
in the third one we have -8 at the right of 12, and we know that -8 < 12
Question
What was the equation of the graph below before it was shifted to the right 1
unit?
Karen has a coupon for $1.52 off on
a package of chocolate bars. A
package normally costs $10.25, and
it has 9 chocolate bars. If Karen uses
her coupon, what will the price per
chocolate bar be?
Answer:
I believe that $0.97 would be right
Step-by-step explanation:
10.25 - 1.52 = 8.73, divide 8.73 by 9 to get 0.97
Suppose that 5% of the time Todd attends a concert twice a month, 40% of the time he attends a concert once a month, and 55% of the time he doesn't attend a concert at all in a given month. What is the expected value for the number of times Todd attends a concert during a month?
Answer:
The expected value for the number of times Todd attends a concert during a month is 0.5.
Step-by-step explanation:
We have these following probabilities:
5% probability of attending a concert twice a month, which means that P(X = 2) = 0.05
40% probability of attending a concert once a month, which means that P(X = 1) = 0.4
55% probability of not attending a concert during the month, which means that P(X = 0) = 0.55
What is the expected value for the number of times Todd attends a concert during a month?
We multiply each value by its probability. So
[tex]E(X) = 0.05*2 + 0.4*1 + 0.55*0 = 0.1 + 0.4 = 0.5[/tex]
The expected value for the number of times Todd attends a concert during a month is 0.5.
PLEASE ANY REAL PERSON WHO CAN HELP ME IVE BEEN WAITING LIKE 30 MINUTES
Answer:
y = ½x + 8
Step-by-step explanation:
The equation of the function can be written in the slope-intercept form y = mx + b.
m = slope = change in y/change in x
b = y-intercept = the value of y when x is zero
✔️From the table, when x = 0, y is 8.
Therefore,
y-intecept (b) = 8
✔️Find the slope (m) using two of the given pairs of values from the table, (-4, 6) and (2, 9):
m = (9 - 6)/(2 -(-4))
m = 3/6
m = ½
✔️Next is to plug in the values of m and b into y = mx + b.
Thus:
y = ½x + 8
Steve has a square patio with sides of length 9 feet. He plans to enlarge it to a rectangular patio by
increasing the length by 3 feet and the width by 2 feet. How many square feet in area will be added to the
patio?
06
O 12
0 29
O 51
Answer:
51ft^2
Step-by-step explanation:
Given data
Side of square patio= 9ft
Area= 9*9= 81 ft^2
New length = 9+3= 12ft
New Widht = 9+2= 11ft
New Area= 12*11
New Area= 132ft^2
Hence the area added is
=132-81
=51ft^2
The 51 square feet area will be added to the patio if the length is increased by 3 feet and the width is by increased 2 feet, Option fourth is correct.
It is given that steve has a square patio with a side length of 9 feet he plans to enlarge it to a rectangular patio by increasing the length by 3 feet and the width by 2 feet.
It is required to find how many square feet in the area will be added.
What is the area?In mathematics, the area is the space occupied by the 2-dimensional figure or surface.
We know the formula for finding the area of square 'A'
[tex]\rm A= a^{2}[/tex] where a is the length of the side.
We have a = 9 feet
[tex]\rm A= 9^2\\\rm A= 81 \ Feet^2[/tex]
Increasing the length by 3 feet and the width by 2 feet respectively, wet get:
L = 9+3 ⇒ 12 Feet
W = 9+2 ⇒ 11 Feet, Where L is the length and W is the width of the rectangle.
Area of rectangle = L×W
Area of rectangle = 12×11
Area of rectangle = 132 [tex]\rm Feet^2[/tex]
The area which will be added = (Area of rectangle) - (area of square)
The area which will be added = (132) - (81)
The area which will be added = 51 [tex]\rm Feet^2[/tex]
Thus, the 51 square feet area will be added to the patio.
Learn more about the area here:
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Please find how to get answer of attachment below.
Answer:
The 52th card that was dealt was an 8.
Step-by-step explanation:
The total value of the entire deck is [tex]4(1 + 2 + \cdots + 9 + 10 \cdot 3) = 4(\frac{10 \cdot 11}{2} + 20) = 220 + 80 \equiv 0 \mod 10.[/tex]
The total value of the 51 cards face-up is congruent to [tex]0 + 3 + 6 + 1 + 10 + 10 + 4 + 8 = 42 \equiv 2 \mod 10.[/tex]
The 52th card must therefore be an 8 for the total value of the entire deck to be 8 mod 10. (Or, rather, we have that the last card must be [tex]0-2 \equiv 8 \mod 10[/tex] and the only card that is congruent to that value modulo 10 is the 8.)
Indicate which formula you would use to solve for the missing side B and then write your answer correct to two decimal places.Write only the formula down.. Single line text.
Answer:
Step-by-step explanation:
Hi there,
The formula depends on what shape you are dealing with. There is no way to determine what formula you need without knowing what type of figure you are dealing with.
The price that Abigail paid for her snowboard, $84, is less than what Dan paid by $18. How much did Dan pay for his snowboard?
9514 1404 393
Answer:
$102
Step-by-step explanation:
Dan paid $18 more than $84:
18 + 84 = 102
Dan paid $102 for his snowboard.
volusia instructure.com - Private A triangle is shown below. What are the coordinates of the three vertices? 10T 9 8 -6 5 B 3 4 5 6 7 8 9 10 10-9-8-7 -6 -4-3-2 1 2 с AC 5 -6 -8 O (7,3), (-2, 3), (3,-2) 0 (-7, -3), (-2, 3), (2, -3) O (-7,-3), (3,-2), (-2,-3) (3, 7), (3, -2), (-2,3) Avection
7,3), (-2, 3), (3,-2) 0 (-7, -3), (-2, 3), (2, -3)
Solve the following inequality
4 + 6x ≤ x + 6x
Select one:
A. x ≤ 4
B. x ≥ 4
C. x > 4
D. x < 4
Answer:
x ≥ 4
Step-by-step explanation:
The given inequality is :
4 + 6x ≤ x + 6x
Subtract 6x from both sides,
4 + 6x-6x ≤ x + 6x -6x
4≤ x
or
x ≥ 4
Hence, the correct option is (b) i.e. x ≥ 4.
Cooking oatmeal requires 1 cup of water for every
cup of oats. How many cups of water will be required for
3/5
cup of oats?
Answer:
have no idea
Step-by-step explanation:
Hope someone else answers and sorry that ai didn't answer
Find the measure of <6
Answer:
110 degrees
Step-by-step explanation:
Parallels lines, when intersected by a straight line, form congruent angles. Therefore 110 is equal to angle 6
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
8
9
Give me an answer pls! ill give brain-list
Answer:
A
Step-by-step explanation:
The value of a house is increasing by $2500 per year. If it is worth $190,000 today, what will it be worth in four years?
Answer:
5000
Step-by-step explanation:
i dont know this answer but i try that
4. There are 11 shelves that contain 5,676 rolls of tape. How many rolls are on each shelf?
a. 56
b. 506
C. 516
d. 526
Type the correct answer in each box. Use numerals instead of words.
What is the inverse of this function?
f(x)=-V7 + 3, * > -3
x²-0 for xs
Answer:
4
3
0
Step-by-step explanation:
Shipping Box Fish Food 11 ft 37 ft 1 ft 1 ft 3 ft 3 ft
Answer:
Dude post it again lol
Step-by-step explanation:
The picture is so blurry
Is x=5 a solution to the equation: 4x=20
Answer:
Step-by-step explanation:
4(x-5)=4x-20
4x-20=4x-20
+20 +20
4x=4x
-4x -4x therefore there's infinite solutions
0=0
don't click on any links in this app example:I uploaded the answer to a file hosting. Here's link:
Answer:
I know someone answer my questions please quick!
Step-by-step explanation:
Your goal is to create a college fund for your child. Suppose
you find a fund that offers an APR of 5% How much should
you deposit monthly to accumulate $170,000 in 15 years?
Answer:
the monthly payment is $636.02
Step-by-step explanation:
The computation of the monthly amount deposited i.e. PMT is given below:
GIven that
NPER = 15 × 12 months = 180
RATE = 5% ÷ 12 = 0.4167%
PV = $0
FV = $170,000
based on the above information
The formula is shown below:
= PMT(RATE;NPER;PV;FV;TYPE)
AFter applying the above formula, the monthly payment is $636.02
