The miles Peyton's family had travelled when he fell asleep is 770 miles
How many miles had they travelled when Peyton fell asleep?Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is %.
Miles when Peyton fell asleep = 77% x 1000 = 770 miles
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In a certain year, 26% of people aged 65–69 worked. Suppose that a recent report claimed that the percentage of people aged 65–69 who work has increased since that year.
Considering the situation described, the appropriate hypotheses set is given by:
[tex]H_0: p = 0.26[/tex]
[tex]H_1: p > 0.26[/tex]
What are the hypotheses test?
At the null hypotheses, we test if there is not enough evidence that the percentage has increased, that is, it still is of 26%, hence:
[tex]H_0: p = 0.26[/tex]
At the alternative hypotheses, we test if there is evidence that it has increased, hence:
[tex]H_1: p > 0.26[/tex]
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answer correctly thanks
Answer:
Angle CBD is 65°
Step-by-step explanation:
All of these angles add up to 180:
So, we can make this equation: (x is CBD)
46 + 21 + 48 + x = 180
115 + x = 180
-115 -115
x = 65
Hope this helps
Answer:
∠CBD = 65 degrees
Step-by-step explanation:
Please open the attached image!!
Find the value of x. Assume that segments that appear to be tangent are tangent. Round to the nearest tenth.
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{24+x}\\ a=\stackrel{adjacent}{24}\\ b=\stackrel{opposite}{32}\\ \end{cases}\implies (24+x)^2~~ = ~~24^2+32^2 \\\\\\ (24+x)(24+x)~~ = ~~24^2+32^2\implies \stackrel{F~O~I~L}{24^2+48x+x^2}~~ = ~~24^2+32^2 \\\\\\ 48x+x^2=32^2\implies x^2+48x-32^2=0\implies x^2+48x-1024=0 \\\\\\ (x-16)(x+64)=0\implies x= \begin{cases} 16~~\textit{\Large \checkmark}\\\\ -64 \end{cases}[/tex]
notice, we didn't use -64, since the value of "x" must be a positive value.
This figure is the pre-image of a prism that has undergone a dilation with a scale factor of 2/5.
What is the surface area of the image after the dilation?
206225 m²
26845 m²
51512 m²
58225 m²
Answer:
Step-by-step explanation:
Answer:
Yeah. The answer is [tex]206\frac{2}{25}[/tex].
Step-by-step explanation:
Which of the following choices represents the average of other four?
A)4. B)-3. C). -4. D). -17. E). 5
Answer:
B) -3
Step-by-step explanation:
The average can be found by dividing the sum of the numbers by the total number of numbers.
[tex]mean = \frac{the \: sum}{n} [/tex]
[tex]mean = \frac{4 + ( - 4) + ( - 17) + 5}{4} [/tex]
[tex]mean = \frac{0 + ( - 12)}{4} [/tex]
[tex]mean = \frac{ - 12}{4} [/tex]
[tex]mean = - 3[/tex]
The mean is -3, so we can say the answer is B.
Answer:
B. -3.
Step-by-step explanation:
A ' middle' number looks like -3.
(4 + -4 - 17 + 5) / 4
= (-21 + 9) /4
= -12/4
= -3.
In the diagram, ABCD is a parallelogram. Write an argument to support the claim that
M x = M y
The angles m∠x = m∠y because alternate interior angles are equal.
What is a parallelogram?A parallelogramis a quadrilateral in which opposite sides are equal and parallel to each other.
The opposite angles are also congruent, whereas consecutive interior angles are supplementary.
In the quadrilateral ABCD:
m∠x = m∠y (alternate interior angles are equal)
The angles m∠x = m∠y because alternate interior angles are equal.
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simplify: -7/9-(-5/12)+1/3.
Step-by-step explanation:
please mark me as brainlest
Answer:
[tex]\sf -\dfrac{1}{36}[/tex]
Explanation:
[tex]\rightarrow \sf -\dfrac{7}{9} -(-\dfrac{5}{12} )+\dfrac{1}{3}[/tex]
remove parenthesis
[tex]\rightarrow \sf -\dfrac{7}{9} +\dfrac{5}{12} +\dfrac{1}{3}[/tex]
all the denominators has a common multiple of 108
[tex]\rightarrow \sf -\dfrac{7(12)}{108} +\dfrac{5(9)}{108} +\dfrac{1(36)}{108}[/tex]
simplify
[tex]\rightarrow \sf \dfrac{-84}{108} +\dfrac{45}{108} +\dfrac{36}{108}[/tex]
join the fractions
[tex]\rightarrow \sf \dfrac{-84+45+36}{108}[/tex]
simplify
[tex]\rightarrow \sf \dfrac{-3}{108}[/tex]
simplify
[tex]\rightarrow \sf -\dfrac{1}{108}[/tex]
The sum of the digits of a two-digit number is 11. When the digits are reversed, the new number is 27 more than the original number. Find the original number. Check your answer.
The original number is 83.
The original number is 47.
The original number is 74.
The original number is 38.
Answer:
The original number is 47.
Step-by-step explanation:
A and C when reversed make a number less than the original value.
D when reversed makes 83 which is 45 more than 38, the original number.
C, when reversed, gives 74 which is 24 more than 47, the original value.
Please mark as brainliest!
Side note:
All number's digits add up to 11.
A manufacturing company has two plants at different locations producing three different items equally within each plant. Based on the number of workers and the demand for the items in their respective locations, the number of items manufactured per day by each plant is listed in the table. Plant A Plant B Item 1 22 15 Item 2 8 12 Item 3 14 25 Select the observed and expected frequencies for Item 2 produced by Plant B.
Answer:
the answer would be 12-19+23=18 so you need a new calculator
Step-by-step explanation:
yes
Use a net to find the area of the entire surface of the solid.
A rectangular prism made of unit cubes. The length is 5 unit cubes, width 4 unit cubes, height 3 unit cubes.
The surface area of the prism is
square units.
Check the picture below.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{front and back}}{2(5\cdot 3)}~~ + ~~\stackrel{\textit{left and right}}{2(3\cdot 4)}~~ + ~~\stackrel{\textit{top and bottom}}{2(5\cdot 4)}}\implies 30+24+40\implies 94[/tex]
The area of the entire surface of the solid given is 94 units².
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Given a rectangular prism.
It consists of 3 pairs of identical rectangular sides.
Area of a rectangle = length × width
Find the area of each rectangular sides to find the total area.
Total area = (5 × 3) + (5 × 3) + (5 × 4) + (5 × 4) + (4 × 3) + (4 × 3)
= 15 + 15 + 20 + 20 + 12 + 12
= 94 units²
Hence the area of the prism given is 94 units².
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What is the range of this data set? 12.5, 10.1, 11.4, 17.3, 17.9, 12.1, 14.1, 14.4, 20.4, 19.1, 12.4, 18.9
The range of a dataset is the distance between the maximum value and the minimum value. The range is found by subtracting the minimum value from the maximum value: maximum - minimum = range.
Maximum value of this dataset = 20.4
Minimum value of this dataset = 10.1
20.4 - 10.1 = 10.3
Range = 10.3
Hope this helps!
Answer:
10.3
Step-by-step explanation:
Given set of values
12.5, 10.1, 11.4, 17.3, 17.9, 12.1, 14.1, 14.4, 20.4, 19.1, 12.4, 18.9Maximum value
The number with the greatest value in the data set⇒ 20.4Minimum value
The number with the least value in the data set⇒ 10.1Range
Maximum value - Minimum value20.4 - 10.110.3The pentagonal prism below has a height of 7.2 units and a volume of 309.6 units,
Find the area of one of its bases.
Answer:
Step-by-step explanation:
Volume of pentagonal prism = 309.6 cubic units
h = 7.2 units
[tex]\boxed{\text{Area of one of the base= $\dfrac{Volume}{h}$}}[/tex]
[tex]\sf=\dfrac{309.6}{7.2}\\\\= 43 \ square \ units[/tex]
Can you find the missing side lengths?
Answer:
I may be wrong but I think the missing side is 7.
Step-by-step explanation:
because 40 minus 8 is 32 so I did 15 minus 8 and got 7
Find the value of x
What is the answer
Answer:
35
Step-by-step explanation:
well, you know the angles of a triangle add up to 180 degrees, and you have the other 2 degrees right there, so all you have to do is add both of the other angles 111+34= 145 and then subtract by 180, 180-145=35 so your answer is 35
What is the volume of this figure?
Enter your answer in the box.
yd³
A right rectangular prism with a trapezoidal prism. The rectangular prism has a length of 30 yards, a width of 9 yards, and a height of 7 yards. The trapezoidal prism shares a face with the rectangular prism. The trapezoid base has lengths of 30 yards and 19 yards and a height of 10 yards. The height of the trapezoidal prism is 9 yards.
Answer:
the answer is 4095
Step-by-step explanation:
Answer: 4095
Step-by-step explanation: that one person was right
with proof
Find Rate of change and y intercept in a graph and table y=3x-3
Answer:
x=6?
Step-by-step explanation:
I think it's this answer im not sure
A farmer wants to know how many of his cows have no spots. He has 200 cows total. He takes a random sample of 40 cows. Of these, 11 of the cows have no spots. What can the farmer predict about the entire population?
The farmer can predict that 11 cows in the entire population have no spots
The farmer can predict that 55 cows in the entire population have no spots
The farmer can predict that 40 cows in the entire population have no spots
The farmer can predict that all of the cows have no spots
Answer:
The farmer can predict that 55 cows in the entire population have no spots.
Step-by-step explanation:
The farmer can predict that 40 cows in the entire population have no spots, the correct option is C.
How to find the confidence interval for population proportion from large sample?Suppose we're given that:
Favourable Cases X (in count, in sample)
Sample Size N
Level of significance =[tex]\alpha[/tex]
Then, the sample proportion of favorable cases is:
[tex]\hat{p} = \dfrac{X}{N}[/tex]
The critical value at the level of significance[tex]\alpha is Z_{1- \alpha/2}[/tex]
The corresponding confidence interval is:
[tex]CI = & \displaystyle \left( \hat p - z_c \sqrt{\frac{\hat p (1-\hat p)}{n}}, \hat p + z_c \sqrt{\frac{\hat p (1-\hat p)}{n}} \right)[/tex]
The given information;
The farmer took a random sample of 40 cows out of 200 total cows and found that 11 of those cows have no spots. We can use this sample data to make a prediction about the entire population using statistical inference.
Now,
Plugging in the values, we get:
CI = 0.275 ± 1.96sqrt((0.275(1-0.275))/40)
CI = 0.275 ± 0.139
CI = (0.136, 0.414)
This means that we can be 95% confident that the true proportion of cows with no spots in the entire population lies between 0.136 and 0.414.
the farmer can predict that between 13.6% and 41.4%
Therefore, by confidence interval the answer will be farmer can predict that 40 cows in the entire population have no spots
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Choose the multiplication problem that correctly shows partial products.
A) A
B) B
C) C
Answer:
B) B
Step-by-step explanation:
In this case, the first partial product will be 2 * 5 which is 10. The only option that shows this is option B, so this is our answer.
We can also check the answers as a whole,
2 * 5 = 10
80 * 5= 400
400 + 1 = 410
Again, only option B gives us this. This is means that option B is our answer.
Answer:
B
Step-by-step explanation:
82
5
--
5 x 2 = 0 (carry 1)
5 x 8 + 1 = 1 (carry 4 to bottom)
What is the axis of symmetry for y=2x^2+16x-5
Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
Convert to vertex form by completing the square
[tex]y=2x^2+16x-5\\\\y=2(x^2+8x-\frac{5}{2})\\ \\y+2(\frac{37}{2})=2(x^2+8x-\frac{5}{2}+\frac{37}{2})\\ \\y+37=2(x^2+8x+16)\\\\y+37=2(x+4)^2\\\\y=2(x+4)^2-37[/tex]
Since the equation is now in the form of [tex]y=a(x-h)^2+k[/tex], the axis of symmetry is where [tex]x=h[/tex], so, the axis of symmetry is [tex]x=-4[/tex].
Answer:
x=-4
Step-by-step explanation:
i took the test
99 PTS PLS HELP! Community volunteers helped clean 7 local parks. They each recorded the number of garbage bags they filled and arranged their data from least to greatest. The number of bags filled was 1, 2, 2, 3, 4, 4, and 5. The mean number of garbage bags filled was 3.
What is the MAD (mean absolute deviation) rounded to the nearest tenth?
1.1
1.3
2.3
3.0
Answer: 1.1
Step-by-step explanation:
To find the MAD (mean absolute deviation) we subtract the mean from each data value, and take the absolute value. Then we take the average of all the values. It looks like this:
1 - 3 = -2 -> |-2| = 2
2 - 3 = -1 -> |-1| = 1
2 - 3 = -1 -> |-1| = 1
3 - 3 = 0
4 - 3 = 1
4 - 3 = 1
5 - 3 = 2
-
[tex]\frac{2+1+1+0+1+1+2}{7}[/tex]
[tex]\frac{8}{7}[/tex]
1.14
The mean absolute deviation is about 1.1
A relief worker needs to divide 1350 bottles of water and 144 cans of food into boxes that each contain the same number of items. Also, each box must contain the same type of item (bottled water or canned food). What is the largest number of relief supplies that can be put in each box?
The largest number of relief supplies that can be put in each box is 75 bottles and 8 cans of food respectively.
How to find highest common factorThe factors of:
1350 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675 and 1350.
144 = 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144.
The highest common factor of 1350 and 144 is 181350 bottles / 18
= 75 bottles per box
144 cans of food / 18
= 8 cans of food per box
So, there 18 boxes of items, each containing 75 bottles and 8 cans of food respectively.
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Since the inverse of a trigonometric function asks to name the angle given its value, are either or both of these correct? Give a reason for your answer. Tell why both are correct, or tell why both are incorrect, or tell why only 1 or the other is correct.
Sin¯¹ (1/2) = 30°
and Sin¯¹ (1/2) = 150°
Answer:
Statement 1 is correct.
Step-by-step explanation:
Inverse sign is only defined from -90° to 90° therefore statement 2 is false.
$6500 for 5 years at 5.5% compounded monthly
Answer:
$8,552.07
Step-by-step explanation:
The final balance is $8,552.07
The total compound interest is $2,052.07
A cup of chocolate chips weigh about 6 ounces. A recipe calls for 31 4 cups of chocolate chips which is about how many ounces?
[tex]3\frac{1}{4}[/tex] cups of chocolate chips is 19.5 ounces.
If one cup of chocolate chips weighs about 6 ounces
we can find out the weight of [tex]3\frac{1}{4}[/tex] cups by multiplying it by the weight of one cup.
[tex]3\frac{1}{4}[/tex] cups = 3 cups + 1/4 cup
= 3 + 0.25
= 3.25 cups
Weight of 3.25 cups = 3.25 cups × 6 ounces/cup
Weight of 3.25 cups = 19.5 ounces
Therefore, [tex]3\frac{1}{4}[/tex] cups of chocolate chips is 19.5 ounces.
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Solve the inequality: -2x + 7 < 23
Answer:
x > -8
Step-by-step explanation:
-2x + 7 < 23
Subtract 7 from each side
-2x + 7-7 < 23-7
-2x < 16
Divide by -2, remembering to flip the inequality
-2x/-2 > 16/-2
x >-8
Step-by-step explanation:
[tex] = - 2x + 7 < 23[/tex].
Move the constant to the right side..
[tex] = - 2x < 23 - 7[/tex]
Subtract 7 from 23
[tex] = - 2x < 16[/tex]
Change the symbol and reverse the symbol of the inequality to other direction...
[tex] = 2x > - 16[/tex]
Now....divide both side by the same number
[tex] = x > - 8[/tex]
A coffee shop recently sold 12 drinks, including 5 Americanos. Considering this data, how many of the next 96 drinks sold would you expect to be Americanos?
40 America-nos
Explanation:
5 America-nos : 12 drinks5 : 12make proportional equation
5/12 = A/96A = 40Answer:
40 AmericanosStep-by-step explanation:
Use ratios
5/12 = x/96Solve for x
x = 96*5/12x = 40Evaluate 9 divided by 3 [(18-6)-2 to the second power]
Answer: 24
I hope this helped
For questions 3 and 4, you will be answering by filling in the blanks. Please be aware that your answer must include any commas or decimals in their proper places in order to be correct. The dollar signs have been provided. For example, if the answer is $1,860.78, then you will enter into the blank 1, 860.78. Do not place any extra spaces between numbers, commas, or decimal places. Round any decimals to the nearest penny when the answer involves money, so that $986.526 would be typed into the blank as 986.53 and $5,698.903 would be typed into the blank as 5,598.90. You will need to use the labor statistics document to answer the following questions.
A. What is your weekly median income if you are a female with an advanced degree?
B. What is your yearly median income if you are a male with an associate's degree?
C. What is your yearly median income if you are a female with an associate's degree?
Based on the given statistics, the weekly median income for a female with an advanced degree would be $901.
The yearly median income for a male with an associate degree would be $36,432.
The yearly median income for a female with an associate degree would be $27,744.
What is the weekly median income for a female with an advanced degree?An advanced degree would be a postgraduate degree like a masters so the weekly median income would be $901.
What is the yearly median income for a male with an associate degree?This can be found as:
= Weekly median income x 4 weeks in month x 12 months in year
= 759 x 4 x 12
= $36,432
What is the yearly median income for a female with an associate degree?= Weekly median income x 4 weeks in month x 12 months in year
= 578 x 4 x 12
= $27,744
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Answer:
Answer above is wrong
Step-by-step explanation:
Can't tell you how to get the answers but these are correct after i failed from the person above.
3. 1,323
4. 49,452.00
5. 37,284.00
A linear function has a y-intercept of 10 and a slope of . What is the equation of the line?
You forgot to include your slope but it should just follow the form y= mx+ b. where m is your slope and b is your y-intercept.
Given the quadratic function y=(3x−2)(x+4), what are the x-intercepts?
Answer:
[tex](\frac{2}{3} , 0), (-4, 0)[/tex]
Step-by-step explanation:
Substitute 0 for y and solve to find the x-intercept.