Answer:
The bus travelled 60 miles in 1 hour.
Step-by-step explanation:
To solve this problem we need to calculate the average speed at which the bus travelled. This is given by the distance travelled divided by the time that they took to get there. So we have:
average speed = distance/time
average speed = 360/6
average speed = 60 miles/h
Therefore in 1 hour they travelled 60 miles.
2. The values below represent the heights of 4 candles
on Rachel's mantle:
V45 in., 27 in., 6 in., 279 in.
Rachel wants to arrange the candles in ascending
order. List the correct order of the lengths.
Answer:
6, 27, 45, 279.
Based on arranging the height of candles in ascending order are:
The correct order of the candles from shortest to tallest would be:
6 in.
27 in.
45 in.
279 in.
two data sets and their mean absolute deviations are shown study study the plots of each data set and then use the data set and use the drop down menus yo answer the questions below.
Answer:
the first part is distant outlier, i got the other two wrong tho :,(
Answer:
spread out from and larger
Step-by-step explanation:
hope it helps
20 POINTS Can someone help me this?
Answer:
Area of the shaded region= 80.4 cm²
Step-by-step explanation:
Area of the square = 10×10 cm² = 100cm²
Area of the circle= πr²=π(2.5)²=3.14 ×6.25cm²
= 19.625 cm ²
Area of the shaded region= 100cm²-19.625cm²
= 80.375cm²
= 80.4 cm²Expand the expression ln 2a/b
Answer:in 2 + in a - in b
Step-by-step explanation: edge 2021
The expanded form is ln(2) + ln(a) - ln(b) of the expression ln(2a/b).
What is Expression?An expression is combination of variables, numbers and operators.
Using the properties of logarithms
log(a/b)=loga-logb
we can expand ln(2a/b) as follows:
ln(2a/b) = ln(2a) - ln(b)
Now we use the property log(ab)=loga+logb
ln(2a) = ln(2) + ln(a)
we can substitute this in the above equation:
ln(2a/b) = ln(2) + ln(a) - ln(b)
Therefore, the expanded form of expression ln(2a/b) is ln(2) + ln(a) - ln(b).
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What are the coordinates of the point on the directed line segment from (5, -5)(5,−5) to (7, 7)(7,7) that partitions the segment into a ratio of 3 to 1?
Answer:
The coordinate of the point on the line segment from (5, -5) to (7, 7) that partitions the segment into a ratio of 3 to 1 is (6.5, 4)
Step-by-step explanation:
Here we have the points on the line given as
(5, -5) and (7, 7)
Therefore to the distance between the x and y coordinates are;
x-coordinate difference, 7 - 5 = 2 and
y-coordinate difference, 7 - (-5) = 12 and
The required ratio is 3:1, that is 3 portions on one side and 1 portion on the other.
Therefore, the total portion of the line is 3 + 1 = 4
So we divide each of the differences between x and y by 3/4 and add it to the coordinate of the first point on the line as follows
x-coordinate difference × 3/4 = 2×3/4 =1.5
y-coordinate difference × 3/4 = 12×3/4 = 9
Therefore, the coordinate of the point on the line segment from (5, -5) to (7, 7) that partitions the segment into a ratio of 3 to 1 is
x-coordinate = 5 + 1.5 = 6.5
y-coordinate = -5 + 9 = 4
or (6.5, 4).
Answer:
(6.5,4)
Step-by-step explanation:
It looks a little sketchy but its correct
(PLEASE HELP) Evaluate the expression 2(8 − 4)^2 − 10 ÷ 2.
A. 11
B. 27
C. 56
D. 59
Answer:
27
Step-by-step explanation:
please tell me if i am wrong
What is the value of b in the equation below? 9^-8 x 9^-2 = a^b
-10
-6
9
16
Answer:
-10
Step-by-step explanation:
9^-8 x 9^-2 = a^b
We know that x^y * x^z = x^(y+z)
9^-8 x 9^-2 = 9^(-8+-2) = 9^(-10)
a= 9
b = -10
A circle in the XY-plane has center (5, 7) and radius 2. Which of the following is an equation of the circle?
Answer: A, because the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex]. So, if the point of the center is [tex](5,7)[/tex] and the radius [tex]2[/tex] , then on the equation should be changed as negative and the radius should be multiplied as [tex]4[/tex], which is [tex](x-5)^2+(y-7)^2=4[/tex]
Use a sample n= 840 , p = 0.25, and a confidence level to construct a confidence interval estimate of the population proportion ,p.
The population proportion [tex]\( p \)[/tex] is estimated to be between 0.224 and 0.276 based on the given sample data.
To construct a confidence interval estimate for a population proportion [tex]\( p \),[/tex] you can use the following formula:
[tex]\[ \text{Confidence Interval} = \hat{p} \pm Z \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \][/tex]
where:
[tex]- \( \hat{p} \)[/tex]is the sample proportion.
[tex]- \( Z \)[/tex] is the Z-score corresponding to the desired confidence level.
[tex]- \( n \)[/tex] is the sample size.
In this case:
[tex]\( n = 840 \)[/tex]
[tex]\( \hat {p} = 0.25 \)[/tex]
The confidence level is not specified, so let's assume a common confidence level of 95%. For a 95% confidence level, the Z-score is approximately 1.96.
Substitute these values into the formula:
[tex]\[ \text{Confidence Interval} = 0.25 \pm 1.96 \sqrt{\frac{0.25(1-0.25)}{840}} \][/tex]
Now, calculate the values:
[tex]\[ \text{Confidence Interval} = 0.25 \pm 1.96 \sqrt{\frac{0.25(0.75)}{840}} \][/tex]
[tex]\[ \text{Confidence Interval} = 0.25 \pm 1.96 \sqrt{\frac{0.1875}{840}} \][/tex]
[tex]\[ \text{Confidence Interval} = 0.25 \pm 1.96 \times 0.0132 \][/tex]
Now, compute the upper and lower bounds of the confidence interval:
[tex]\[ \text{Lower Bound} = 0.25 - (1.96 \times 0.0132) \][/tex]
[tex]\[ \text{Upper Bound} = 0.25 + (1.96 \times 0.0132) \][/tex]
Finally, round the values to an appropriate number of decimal places. The confidence interval for the population proportion p is:
[tex]\[ \text{Confidence Interval} = (0.224, 0.276) \][/tex]
So, with 95% confidence, the population proportion [tex]\( p \)[/tex] is estimated to be between 0.224 and 0.276 based on the given sample data.
Trent tried to solve an equation step by step. \begin{aligned} \dfrac g{3}&=\dfrac43\\\\ \dfrac{g}{3} \cdot 3&=\dfrac43\cdot\dfrac13&\green{\text{Step } 1}\\\\ g&=\dfrac49&\blue{\text{Step } 2} \end{aligned} 3 g 3 g ⋅3 g = 3 4 = 3 4 ⋅ 3 1 = 9 4 Step 1 Step 2 Find Trent's mistake. Choose 1 answer:
Answer:
Step 1
Step-by-step explanation:
Trent multiplied one side of the equations by 3 but multiplied the other side of the equation by 1/3.
Trent should have multiplied both sides of the equation by 3 to isolate g.
Trent's mistake is in step 2 of their solution where they incorrectly multiplied by different values.
Explanation:Trent's mistake lies in step 2 of their solution. They incorrectly multiplied the numerator and denominator of &frac43 by &frac13. To solve the equation correctly, the numerator and denominator of &frac43 should be multiplied by the same value, which in this case is 3. The correct step would be to multiply &frac43 by 3, resulting in &frac49.
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A buyer for a grocery chain inspects large truckloads of apples to determine the proportion p of apples in the shipment that are rotten. she will only accept the shipment if there is clear evidence that this proportion is less than 0.06 she selects a simple random sample of 200 apples from the over 20000 apples on the truck to test the hypotheses h0: p = 0.06, ha: p < 0.06. the sample contains 9 rotten apples. the p-value of her test is
Answer:
The p-value of her test is 0.15386.
Step-by-step explanation:
We are given that a buyer for a grocery chain inspects large truckloads of apples to determine the proportion p of apples in the shipment that are rotten.
She selects a simple random sample of 200 apples from the over 20000 apples on the truck and the sample contains 9 rotten apples.
Let p = proportion of of apples in the shipment that are rotten.
SO, Null Hypothesis, [tex]H_0[/tex] : p = 0.06 {means that the proportion of apples in the shipment that are rotten is equal to 0.06}
Alternate Hypothesis, [tex]H_A[/tex] : p < 0.06 {means that the proportion of apples in the shipment that are rotten is less than 0.06}
The test statistics that will be used here is One-sample z proportion statistics;
T.S. = [tex]\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = proportion of apples that are rotten in a sample of 200 apples = [tex]\frac{9}{200}[/tex] = 0.045
n = sample of apples = 200
So, test statistics = [tex]\frac{0.045 -0.06}{{\sqrt{\frac{0.045(1-0.045)}{200} } } } }[/tex]
= -1.02
The value of the test statistics is -1.02.
Now, P-value of the test statistics is given by;
P-value = P(Z < -1.02) = 1 - P(Z [tex]\leq[/tex] 1.02)
= 1 - 0.84614 = 0.15386
Hence, the p-value of her test is 0.15386.
Using the z-distribution, it is found that the p-value for her test is of 0.1867.
The null hypothesis is:
[tex]H_0: p = 0.06[/tex]
The alternative hypothesis is:
[tex]H_a: p < 0.06[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are:
[tex]p = 0.06, n = 200, \overline{p} = \frac{9}{200} = 0.045[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.045 - 0.06}{\sqrt{\frac{0.06(0.94)}{200}}}[/tex]
[tex]z = -0.89[/tex]
The p-value is found using a z-distribution calculator, with a left-tailed test, as we are testing if the proportion is less than a value, with z = -0.89, and is of 0.1867.
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I WILL GIVE YOU CROWN FOR ANSWER
k has two dispensers that can each hold 1.25 liters. She fills them with liquid hand soap from a store that charges $0.19 for every 50 milliliters of soap.
How much does it cost Anouk to fill both of her dispensers with hand soap?
Enter your answer in the box.
$
To find out the amount of milliliters from liters, multiply the value by 1000. This would give us 1250 mL of soap. Divide this by 50 to figure the amount of money it would take. 25, so multiply that by $0.19, $4.75 per bottle, and then multiply that by two.
Answer: $4.75 for one bottle and $9.50 for both bottles
20 POINTS If the perimeter of a triangle is 14.4. What is the area?
Answer:
A = 9.9648
Step-by-step explanation:
if the triangle is equilateral =>
P = 3L => L = 14.4/3 = 4.8
A = L²√3/4
= (4.8)²√3/4
= 23.04√3/4
= 5.76×1.73
= 9.9648
The volume of the prism is 81 m3. What is the volume of a pyramid that has the same base and height as this prism?
__m3?
Answer:
27
Step-by-step explanation:
When looking for the volume of a prism you multiply the base and height to get the volume. When looking for the volume of a pyramid of the same base and height all you need to do is multiply .333 or 1/3 in decimal form to get the correct answer.
The volume of the prism: (3)(3)(9) = 81
The volume of the pyramid: (1/3 or .333)(3)(3)(9) = 26.973 = 27
1/7 divided by 4. 1/7 divided by 4 1/7 divided by 4 1/7 divided by 4 1/7 divided by 4 1/7 divided by 4 1/7 divided by 4
Answer:
0.035714285714286
Step-by-step explanation:
is the decimal form
What expression represents the volume of the prism, in cubic units?
Final answer:
Volume of a prism is represented in cubic units as length x width x height. The SI unit of volume is cubic meter (m³) and a common unit is the liter (L), equivalent to a cubic decimeter (dm³).
Explanation:
Volume is defined as the amount of space occupied by a solid in cubic units, and for a prism that is length x width x height. In the case of volume, it goes like length cubed, represented as V = L³.
The SI unit of volume is cubic meter (m³), equal to the space occupied by a cube of 1m on each edge. A more commonly used unit of volume is the liter (L), which is equivalent to a cubic decimeter (dm³).
A bag contains 9 marbles: 3 are green, 2 are red, and 4 are blue. Lena chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that both marbles she chooses are blue? Write your answer as a fraction in simplest form.
Final answer:
The probability that both marbles chosen are blue is 1/6. This is calculated by multiplying the probability of drawing a blue marble on the first and second draws consecutively (4/9 × 3/8).
Explanation:
To calculate the probability that Lena chooses two blue marbles in a row from a bag containing 3 green, 2 red, and 4 blue marbles without replacement, we must consider two consecutive events. The probability of pulling one blue marble on the first draw is 4 out of 9, since there are 4 blue marbles out of a total of 9. After the first blue marble is drawn, there are now only 3 blue marbles left out of a total of 8 marbles (since one was not replaced). The probability of drawing a blue marble on the second draw is therefore 3 out of 8.
These two probabilities must be multiplied together to find the overall probability of both events occurring in sequence:
Probability of first blue marble = 4/9
Probability of second blue marble after the first is drawn = 3/8
Overall probability = (4/9) × (3/8) = 1/6
So, the probability that both marbles Lena chooses are blue is 1/6, which is already in its simplest form.
The price of a new motorcycle is $7000, but the value of the motorcycle drops by 9% each year. The function v(f) = 7000 • 0.91 models this situation for v dollars and t years. What is a realistic domain for this situation?
The domain is the set of all possible input values for the function. In this case, the realistic domain for this situation would be 0 ≤ t ≤ 25, indicating the number of years from the time the motorcycle is purchased up to 25 years later.
Explanation:The domain of a function in mathematics defines the set of input values for which the function is defined. In this case, the function [tex]v(t) = 7000 \times 0.91^t[/tex]is used to calculate the value of a motorcycle, where t is the number of years after the motorcycle was bought.
As time can't be negative in this real-world scenario, the smallest value for t is 0, representing the moment the motorcycle is bought. Theoretically, t can be any positive number, although it may not be practical to consider values of t that are too large, because the value of the motorcycle will decrease significantly after several years due to depreciation.
Again, if we assume that the motorcycle will be completely worthless after 25 years, a realistic domain would be 0 ≤ t ≤ 25, that is, from the year the motorcycle is bought to 25 years afterward.
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1. There are 65 adults and 15 children in a movie theater. Of these people, 41 adults and 6 children bought popcorn.
a) What is the probability that a randomly selected person in the theater is a child or someone who bought popcorn.
b) What is the probability that a randomly selected person is an adult or someone who did not buy popcorn.
My answers are 0.70 and 0.925 respectively. My friends believe otherwise.
Answer:
a. 7/10
b. 79/240
Step-by-step explanation:
Please see the attached files for details
Answer:
a) 0.70
b) 0.925
You are right and your friends are wrong.
Step-by-step explanation:
- 65 adults and 15 children in a movie theater
- 41 adults and 6 children bought popcorn
Number of children in the theatre = 15
Number of adults in the theatre = 65
Number of children that bought popcorn = 6
Number of children that did not buy popcorn = 15 - 6 = 9
Number of adults that bought popcorn = 41
Number of adults that did not buy popcorn = 65 - 41 = 24
Total number of persons that bought popcorn = 41 + 6 = 47
Number of people that did not buy popcorn = 80 - 47 = 33
Total number of persons in the theatre = 65 + 15 = 80
a) The probability that a randomly selected person in the theater is a child or someone who bought popcorn.
Required probability
= (number of children or people that bought popcorn) ÷ (total number of people)
There 15 children, and 47 people that bought popcorn, but of the 47, there are still 6 children amongst them.
Hence, the number of children or people that bought popcorn = 15 + 47 - 6 = 56
Total number of people = 80
Required probability = (56/80) = 0.70
b) The probability that a randomly selected person is an adult or someone who did not buy popcorn.
Required probability
= (number of adults or people who did not buy popcorn) ÷ (total number of people)
There are 65 adults, and 33 people that did not buy popcorn, but of the 33, there are still 24 adults amongst them.
Hence, the number of adults or people who did not buy popcorn
= 65 + 33 - 24 = 74
Total number of people = 80
Required probability = (74/80) = 0.925
You are right and your friends are wrong.
Hope this Helps!!!
the number 0.7777 repeats forever therefore it is irrational true or false?
Answer:
It's false, this number is a rational number.
Step-by-step explanation:
It's false, the kind of decimal where the same digits repeats forever are known as periodic decimals and they can be represented with fractions therefore they are a part of the rational numbers. To represent this number in a fraction form we need to first identify the part that repeats, in this case it's 7, since it's only one number we can insert it in the numerator and the denominator will have a 9, if it were two numbers the denominator would have a 99 and so on. So in this case:
7/9 = 0.7777...
The statement is false. The number 0.7777 repeating is not an irrational number, but a rational number, as it can be expressed as the fraction 7/9.
Explanation:The statement is false. The number 0.7777 repeating is not an irrational number. An irrational number is a number that cannot be expressed as a/b, where a and b are integers and b ≠ 0. However, the number 0.7777 repeating can be expressed as a fraction, specifically, as 7/9. Therefore, it does not meet the definition of an irrational number and is, in fact, a rational number.
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can you please help me
Step-by-step explanation:
Given
Now arranging in ascending order
7 , 12 , 13, 24 , 24
No of data (N) = 5
Now
Position of Median
= ( N+1) / 2 th item
= (5+1)/2 th item
= 3rd item
So Now
Exact Median = 13
(5^3)5
help me with my math i need to get up to an 70%
Answer: 625
Step-by-step explanation:
Do 5 to the third power, get the answer, and then multiply times 5 to get 625. Please mark this as the brainliest answer <3
sin(42) = cos(x)
Solve for x
Answer:
X = 48
Step-by-step explanation:
When you type sin(42) in your calculator it will give you something around 0.669.
If you try reverse sinus sin-1(0.669) it will give you 42.
Therefore you can say that:
Cos(x) = 0.669
So you can reverse the cos to get your answer
Cos-1(0.669) = 48
Or
Cos-1 (sin(42))
Consider the matrix shown below:
What are the dimensions of A.
3 X 4
4 X 3
12
A and B
Answer:
Dimensions of a matrix:
r × c
Where r is the no. of rows and c is the no. of columns
If A has 4 rows (horizontal) and 3 columns (vertical),
Dimensions are: 4 × 3
If A has 3 rows (horizontal) and 4 columns (vertical),
Dimensions are: 3 × 4
What is the answer to 1/4 + 7/10 in its simplest form
[tex]\dfrac{1}{4} =0,25\\\dfrac{7}{10} =0,7\\\dfrac{1}{4} +\dfrac{7}{10}=0,25+0,7=0,95[/tex]
The ratio of girls and boys in a swimming club was 2:5 .There we’re 20 girls.How many boys were there at the club?
Answer:
50
Step-by-step explanation:
divide 20 girls by 2 girls to get 10.
multiply 5 by 10 to get 50 boys.
Find the height of the giraffe in the diagram below
the giraffe is 18 feet tall.
What is the value of x if the volume of the cone is 12 pi m3
Answer:
Height of the cone = 4 m
Step-by-step explanation:
Given:
Volume of a cube = (12π) m^3
Radius of the cone = (6/2) m = 3 m
We have to find the value of "x".
And "x" is the height of the cone from the figure shown.
Formula to be used:
Volume of the cone: 1/3(πr^2h)
Here height = "x"
⇒ [tex]V_c_o_n_e=\frac{\pi r^2 h}{3}[/tex]
⇒ [tex]V_c_o_n_e=\frac{\pi r^2 x}{3}[/tex]
⇒ [tex]3\times V_c_o_n_e=\frac{\pi r^2 x}{3}\times 3[/tex]
⇒ [tex]3\times V_c_o_n_e=\pi r^2 x[/tex]
⇒ [tex]\frac{3\times V_c_o_n_e}{\pi r^2} =\frac{\pi r^2\times x}{\pi r^2}[/tex]
⇒ [tex]x=\frac{3\times V_c_o_n_e}{\pi r^2 }[/tex]
⇒ [tex]x=\frac{3\times 12\pi }{\pi (3)^2 }[/tex]
⇒ [tex]x=\frac{36\pi }{9\pi }[/tex]
⇒ [tex]x=\frac{36}{9}[/tex]
⇒ [tex]x=4[/tex] meters.
The height of the cone "x" = 4 meters option A is the right choice.
1. 130 2/3 ft3
2. 226 in.3
3. 33 cm3
4. 4 m
5. 15 m
Brian just bought 9 bags of 14 cookies each. He already had 8 cookies in a jar. How many cookies does Brian have now?
Answer: 134 cookies
Step-by-step explanation: First we want to find the total amount of cookies Brain bought. Simply multiply 14 x 9 to find the total amount of cookies bought.
14 x 9 = 126 cookies.
Since Brian already had 8 cookies in the jar, we will simply add the new amount of cookies he bought to the cookies in the jar left.
126 + 8 = 134 total cookies that Brain has now.
Find the GCF of 10 and 35.
A: 3
B: 4
C: 5
D: 6
i will give brainliest
Answer:
C. 5
Step-by-step explanation:
Find the factors of 10 and 35
Factors of 10:
1,2, 5, 10
Factors of 35:
1,5,7, 35
The greatest common factor between both is 5, so C is correct