Answer:
B
Step-by-step explanation:
A train traveled 260 miles in 4 hours. If the train’s average rate of travel increases by 12 mph, what is its new average rate of travel?
A. 77 mph
B. 65 mph
C. 60 mph
D. 48 mph
Answer:
Correct option A
Step-by-step explanation:
Average rate = 260/4 = 65 mph
It increases by 12mph
So 65+12 = 77 mph
Correct option A
Usually Holly leaves home to school at 9:00, however today she left home 20 minutes later. In order to be at school on time she increased her usual speed by 20% and still was at school 15 minutes later than usual. What is her usual time from home to school
Answer:
Her usual time from home to school is 30 minutes
Step-by-step explanation:
At any point in time;
distance = speed * time
Here, we want to calculate the normal time she spent going from home to school
Let the normal time be x minutes
And the normal speed be t m/min
Today, she increased her speed by 20%
Her speed today will be t + 20/100 * t =
1.2t m/min
Her distance from how to school normally is
xt meters
Now what this means is that, at the increased speed, she was able to get to school 5 minutes earlier
What we are saying is although, she lost 20 minutes initially, she was able to beat down the lateness by 5 minutes
So, the time spent on her increased speed journey is;
(x-5) minutes
At any point in time, the distance will be equal;
Thus, mathematically;
xt = 1.2t(x-5)
xt = 1.2xt - 6t
6t = 1.2xt-xt
6t = 0.2xt
t cancels out
0.2x = 6
x = 6/0.2
x = 30 minutes
The scale factor of the dimensions of two similar pieces of windows glass is 3 : 5 . The smaller piece costs $ 2.5 . How much should the larger piece cost ?
Answer:
$4 I believe
Step-by-step explanation:
hope this helps please mark brainliest if correct
Solve the system of equations
y = 5x + 32
y = -4x - 22
a. (6, 2)
b. ( -6, -2)
c. ( -6, 2) (correct)
d. No solution
Answer:
Option c is right:
(-6 , 2)
Step-by-step explanation:
( -6 , 2)
Members at a popular fitness club currently pay a $40 per month membership fee. The owner of the club wants to raise the fee to $50 but is concerned that some members will leave the gym if the fee increases. To investigate, the owner plans to survey a random sample of the club members and construct a 95% confidence interval for the proportion of all members who would quit if the fee was raised to $50.
Answer:
(a) It implies that if many samples of the members of the fitness club were selected and many 95% confidence intervals were constructed, the true proportion of all members of the fitness club who would quit would be captured by about 95% of the intervals.
(b) It implies that there is a 95% confidence that the true proportion of all members of the fitness club who would quit if there is an increase in the fee will be captures by the interval 0.105 – 0.225 (i.e. calculated as 0.18 – 0.075 = 0.105 and 0.18 + 0.075 = 0.225).
(c.) No, as there are plausible values above 20 as it is not all the intervals that are below 20. The implication of this is that there is a possibility that more than 20% would quit.
(d) The implication of the condition is that the distribution of the sample is approximately normal. This gives the opportunity to do estimations. However, the it will not be possible to estimate the 2 critical values if the distribution is not approximately normal. .
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
Members at a popular fitness club currently pay a $40 per month membership fee. The owner of the club wants to raise the fee to $50 but is concerned that some members will leave the gym if the fee increases. To investigate, the owner plans to survey a random sample of the club members and construct a 95% confidence interval for the proportion of all members who would quit if the fee was raised to $50.
(a) Explain the meaning of "95% confidence" in the context of this study.
(b) After the owner conducted the survey, he calculated the confidence interval to be 0.18 +/- 0.075. Interpret this interval in the context of the study.
(c.) According to the club’s accountant, the fee increase will be worthwhile if fewer than 20% of the members quit. According to the interval from part (b) can the owner be confident that the fee increase will be worthwhile? Explain.
(d) One of the conditions for calculating the confidence interval in part (b) is that np ≥ 10 and n(1 – p) ≥ 10. Explain why it is necessary to check this condition.
The explanation of the answer is now provided as follows:
(a) Explain the meaning of "95% confidence" in the context of this study.
It implies that if many samples of the members of the fitness club were selected and many 95% confidence intervals were constructed, the true proportion of all members of the fitness club who would quit would be captured by about 95% of the intervals.
(b) After the owner conducted the survey, he calculated the confidence interval to be 0.18 +/- 0.075. Interpret this interval in the context of the study.
It implies that there is a 95% confidence that the true proportion of all members of the fitness club who would quit if there is an increase in the fee will be captures by the interval 0.105 – 0.225 (i.e. calculated as 0.18 – 0.075 = 0.105 and 0.18 + 0.075 = 0.225).
(c.) According to the club’s accountant, the fee increase will be worthwhile if fewer than 20% of the members quit. According to the interval from part (b) can the owner be confident that the fee increase will be worthwhile? Explain.
No, as there are plausible values above 20 as it is not all the intervals that are below 20. The implication of this is that there is a possibility that more than 20% would quit.
(d) One of the conditions for calculating the confidence interval in part (b) is that np ≥ 10 and n(1 – p) ≥ 10. Explain why it is necessary to check this condition.
The implication of the condition is that the distribution of the sample is approximately normal. This gives the opportunity to do estimations. However, the it will not be possible to estimate the 2 critical values if the distribution is not approximately normal.
In the first week of July a record 1120 people went to the local swimming pool in the second week 105 fewer people went to the pool then in the first week in the third week 135 more people went to the pool then in the second week in the first week 310 fewer people went to the pool then in the third week what is the percent decrease in the number of people who went to the pool over these four weeks
In the first week of July a record 1120 people went to the local swimming pool in the second week 105 fewer people went to the pool then in the first week in the third week 135 more people went to the pool then in the second week in the first week 310 fewer people went to the pool then in the third week what is the percent decrease in the number of people who went to the pool over these four weeks
Answer:
25%
Step-by-step explanation:
The number of people who went to the local swimming pool in the;
first week = 1120
second week ( 105 fewer people) = 1120 - 105 = 1015
third week (135 more people) = 1015 + 135 = 1150
fourth week (310 fewer people|) = 1150 - 310 = 840
The percent decrease in the number of people who went to the pool over these four weeks
= (1120 - 840)/1120 * 100%
= 280/1120 * 100%
= 1/4 * 100%
= 25%
It means that the number of people who went to the local swimming pool over the 4 weeks decreased by 25%
Find x
14. (3x + 32) (5x - 8)
15. ( 2x - 10) ( 4x + 16 )
Answer:
14. -32/3
15. -4 and 5
Step-by-step explanation:
hope it will help you
4. What is the measure of angle xº?
(Giving brainliest to correct answer)
ASA AND AAS CONGRUENCE
can someone do it fast ill give you brainiest!!!!
Answer:
Step-by-step explanation:
15/308/5025/3220/3610/36Answer:
answers below
Step-by-step explanation:
1. 3/10 x 5/3= 15/30 or 1/2
2. 1/10 x 8/5= 8/50
3. 5/8 x 5/4= 25/32
4. 5/12 x 4/3= 20/36
5. 1/4 x 10/9= 10/36
Solve the system if equations
x + y = 30
y = 9x
Answer:
(3, 27)
Step-by-step explanation:
I will use substitution method.
y = 30-x
y = 9x
30 -x = 9x
30 = 10x
x = 3
So far we have (3, ?).
Now that we know x, we can plug in x to one of the equation to find y. I will plug it in at the bottom equation.
y = 9(3)
y = 27
Now we know that the solution is (3, 27).
James can eat 12 jelly beans per minute, and Jenny can eat 8 jelly beans per minute. How
many minutes will it take Jenny and James to eat a combined total of 100 jellybeans?
Answer:
5 mins.
Step-by-step explanation:
hope his helps good luck
Answer:
5 minutes
Step-by-step explanation:
Y=-7x + 15 cordinates of the y intercept
Answer: Don’t quite understand what you are asking but the Y-Intercept = 15, and the slope would be -7. Hope this helps you
Step-by-step explanation:
An ice cream shop has a sign in their window that says, "We sell 12,000 scoops per month." The number of scoops has been rounded.
Which could be the number of scoops sold if they rounded to the nearest thousand
Answer:
around 11,000?
Step-by-step explanation:
The number of ice cream scoops sold from the shop if it is rounded to the nearest a thousand are 12,111 and 11,589.
What is the nearest thousand of a number?To write the large number at the nearest round, we use the nearest thousand of the number. The rounded to the nearest thousand of a number makes the calculation easy, and the result to understand batter.
To round a number to nearest thousand, follow the steps below-
Step 1) Write down the number, which you have round to the nearest thousand.Step 2) Select the number which is at the thousand or at the 3rd place from right side of the number.Step 3) Look at the number which immediate right to this number. If this number is less than 5, then make all the digits right of it 1as zero.Step 4) Look at the number which immediate right to this number. If this number is more than 5, then replace all the digits right of it with zero by adding 1 into the thousand place digit.An ice cream shop has a sign in their window that says, "We sell 12,000 scoops per month." The number of scoops has been rounded.
The options of this problem are-
A) 10,999B) 12,111C) 11,589The number of scoops sold if they rounded to the nearest thousand. As the nearest number is 11,589 which is less than the 1200 which shows some of the ice cream has been sold.
Also the number 12,111 can be rounded to 12000.
Hence, the number of ice cream scoops sold from the shop if it is rounded to the nearest a thousand are 12,111 and 11,589.
Learn more about the nearest thousand of a number here;
https://brainly.com/question/587947
if you give away 2 cupcakes and that is 20% of ur order how many cupcakes is that?
Answer:
you have 10 cupcakes and give away 2 which is 20% of 10
Step-by-step explanation:
What are the 3 conditions that a graph must possess in order for it to be a proportional graph?
Answer:
The 3 things in order for a graph to be proportional is:
This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same. The graph of the proportional relationship equation is a straight line through the origin.
Step-by-step explanation:
BRAINLIEST???
Hope This Helps!!!
Sola, Kemi and Ojo were given
N45.00 by their grandfather. If Sola
received 40% of this amount, how
much remained to be shared between
Kemi and Ojo?
Answer:
N27.00 remained to be shared between Kemi and Ojo
Step-by-step explanation:
We have an amount of N 45.00.
Sola received 40% of this amount, which means that 100% - 40% = 60% remained to be shared between Kemi and Ojo.
This amount is given by:
0.6*45 = 27
N27.00 remained to be shared between Kemi and Ojo
A pair of shoes cost $42. The shoes are on sale for 20% off. How much will you save by buying the shoes on sale?
Answer:
$8.4
Step-by-step explanation:
take 42 divide by 5
Answer:
$8.40 will be saved by buying the shoes on sale
Step-by-step explanation:
10% of 42 is $4.20
therefore, 20% of 42 is twice the 10% amount = $8.40
PLZ HELP I WILL GIVE YOU BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
PLZ READ QUESTION CLOSELY
Answer:
no he doesn't have enough, he has $257
he is short by $18 :)
Step-by-step explanation:
y + 3 = –y + 9
y = 1
y = 3
y = 6
y = 9
Answer:
y=3
Step-by-step explanation:
y + 3 = - y + 9
y + y = 9 - 3
2y = 6
y = 6/2
y =3
Kendra is saving money to go buy a new bike. She needs at least $120. Her mom gave her $25 to get started. Let m represent the amount of money Kendra still needs to save.
Answer:
Kendra still need at least at least 95 dollars for her bike
What is the greatest common factor of 8x-6
A.2
B.2x
C.3x
How do i solve the equation please (Explain)!!
Answer:
a = 4.8
Step-by-step explanation:
9 - 4a + 12 = 6a - 27
21 - 4a = 6a - 27
48 - 4a = 6a
48 = 10a
4.8 = a
I’ll mark brainliest I’m so lost w this
Answer:
The Area of the sector is: A = 95.4 cm²
Step-by-step explanation:
Given
Central angle Ф = 135°
radius r = 9 cm
To determine
Area of the sector = ?
The Area of the sector can be calculated using the formula
A = Ф/360 × πr²
substitute Ф = 135°, r = 9 and π = 3.14
A = 135/360 × (3.14) (9)²
A = 95.4 cm²
Therefore, the Area of the sector is: A = 95.4 cm²
Please answer correctly
Answer:
answer
Step-by-step explanation:
angle B=63
AC=23.5
AB=26.4
Grace plans to visit her friend in another state. The distance to her friend is 1797 miles. If she leaves on Friday and drives 5 hours at a time at 70 mph, when will she get there?
A. The next day
B. In 2 days
C. In 3 days
D. In 5 days
Answer:
In 5 days
Step-by-step explanation:
If you divide 1797 by 70 you will get 25.67 then divide 25 by 5 and you will get 5
Use a number cube to determine the theoretical probability of the event. Rolling a 2
Answer:
1/6
Step-by-step explanation:
A cube has six sides
Six probable outcomes
rolling a 2 can only happen on 1 of those outcomes
so 1/6
Answer:
1/6
Step-by-step explanation:
The Answer is 1/6
Which letter represents the sum of (–4 + 3i) and (6 – i)?
Answer:
2+2i = 2(1+i)
Step-by-step explanation:
2+2i = 2(1+i)
Write a positive or negative integer that represents the situation.
You dive 10 feet below the surface of the water
An integer that represents the situation is [ ]?
Answer:
it's -10
Step-by-step explanation:
because in the question they says below the surface of the water
so I think it's right
The upward is taken as positive and the downward is taken as negative. Then the integer can be represented as negative 10.
What is a sign convention?Sign convention means the rule that is used when the sign is to be changed. It is applicable only when the equation is considered.
You dive 10 feet below the surface of the water.
Then the negative sign should be used because we considered the right side as positive and the left side as negative similarly upward is taken as positive and downward is taken as negative.
Then the integer can be represented as negative 10.
More about the sign convention link is given below.
https://brainly.com/question/14303096
#SPJ2
5x - y + z = -6
2x + 7y + 3z = 8
x + 2z = 6
Answer:
Step-by-step explanation:
The system of equations given are:
5x - y + z = -6 ------------- i
2x + 7y + 3z = 8 ---------- ii
x + 2z = 6 ----------------- iii
Let us deal with equation i and ii first since they have 3 variables x, y and z;
5x - y + z = -6 x 7
2x + 7y + 3z = 8 x 1
35x - 7y + 7z = -42 ---- iv
2x + 7y + 3z = 8 ---- v
Add equation iv and v;
37x + 10z = -34 ------vi
So, let us solve equation vi and iii:
x + 2z = 6 - ---------- iii x 10
37x + 10z = -34 --- iv x 2
10x + 20z = 60 vi
74x + 20z = -68 vii
Subtract vi - vii;
-64x = 128
x = -2
So; put x = -2 into iii;
x + 2z = 6
-2 + 2z = 6
2z = 6 + 2 = 8
z = 4
Put x = -2 and z = 4 into equation i;
5(-2) - y + 4 = - 6
-10 -y +4 = -6
-6 - y = -6
-y = 0
y = 0