Answer:
We can use number lines for adding as well as subtracting integers. For doing this:
1. First mark the first integer on the number line.
2. Now to add a positive integer to this number, move to the right on the number line from this number.
3. In case you have to add a negative integer, move to the left on the number line from this number.
4. Subtracting an integer means adding its opposite and hence, if you have to subtract a positive integer from this number, move to the left on the number line from this number.
5. But if you have to subtract a negative integer from this number, move to the right on the number line from this number.
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A tire manufacturer has a 60,000 mile warranty for tread life. The company wants to make sure the average tire lasts longer than 60,000 miles. The manufacturer tests 250 tires and finds the mean life for these tires to be 64,500 miles.What is the alternative hypothesis being tested in this example
Answer:
The alternative hypothesis being tested in this example is that the tire life is of more than 60,000 miles, that is:
[tex]H_1: \mu > 60,000[/tex]
Step-by-step explanation:
A tire manufacturer has a 60,000 mile warranty for tread life. The company wants to make sure the average tire lasts longer than 60,000 miles.
At the null hypothesis, we test if the tire life is of at most 60,000 miles, that is:
[tex]H_0: \mu \leq 60,000[/tex]
At the alternative hypothesis, we test if the tire life is of more than 60,000 miles, that is:
[tex]H_1: \mu > 60,000[/tex]
if "-3<" x/5 < "-1" what is the value of x
Answer:
-15 < x < -5
Step-by-step explanation:
-3 < x/5 < -1
Multiply all sides by 5
-3*5 < x/5 *5 < -1*5
-15 < x < -5
Pls if anyone knows the answer with work included/steps that will be greatly appreciated :)
Answer:
1. Option D. 15x²
2. Option C. 3
Step-by-step explanation:
1. Determination of the area of one section.
Length (L) of one section = 25x/5 = 5x
Width (W) of one section = 3x
Area (A) of one section =?
The area of one section can be obtained as follow:
Area (A) = Length (L) × Width (W)
A = L × W
A = 5x * 3x
A = 15x²
Thus, the area of one section is 15x²
2. Determination of the expressions that are equivalent to (p²)³.
We'll begin by simplifying (p²)³. This can be obtained as follow:
(p²)³ = p²*³
(p²)³ = p⁶
Next we shall compare each expression given in the question above to see which will be the same as p⁶.
p × p × p × p × p × p = p¹⁺¹⁺¹⁺¹⁺¹⁺¹
p × p × p × p × p × p = p⁶
p² × p² × p² = p²⁺²⁺²
p² × p² × p² = p⁶
p² × p³ = p²⁺³
p² × p³ = p⁵
Thus,
p² × p³ ≠ p⁶
p⁵ ≠ p⁶
p⁶ = p⁶
SUMMARY
p × p × p × p × p × p = p⁶ = (p²)³
p² × p² × p² = p⁶ = (p²)³
p⁶ = (p²)³
Therefore, 3 expressions are equivalent to (p²)³. Option C gives the correct answer to the question.
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
Square root x + 6 - 4 = x
Answer:
-2, (-5 is extraneous)
Step-by-step explanation:
assuming √(x+6) -4 =x
√(x+6) = x+4
square both side
x+6 = (x+4)^2
x+6 = x^2+8x+16
x^2+7x+10=0
(x+2)(x+5) = 0
x = -2, -5
put -5 back into org equation and it is not true
√(-5+6) -4 ≠ -5
44,587 plus what equals 65,000
Let the missing number be x.
=> x + 44587 = 65000
=> x = 65000 - 44587
= 20413
Ans.= The missing number will be 20413.
Hope this answer helps you..
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Select it as the BRAINLIEST..
look at the image for the question
Volume = l × b × h
Length = 7m
Breadth = 7m
Height = 9m
Volume = 7×7×9
441m³
Must click thanks and mark brainliest
Harrison has 20 tasks on to do list he has completed 5%. How many tasks has he completed?
Answer:
1 task
Step-by-step explanation:
100%=20 tasks
5%=1 task
Please help almost done will give brainliest
x and y are related.
х
-2
-1
0
1
2
3
y
-4
-4.5
-5
-5.5
-6
-6.5
y = -0.5x + [?]
Enter the answer that belongs in [?].
Answer:
-5
Step-by-step explanation:
y = -0.5x + [?]
The equation is put in slope intercept form
slope intercept form: y = mx + b
where m = slope and b = y intercept
We want to find the y intercept.
the y intercept is the value of y when x = 0
looking at the table when x = 0, y = -5 so the y intercept is -5.
In other words -5 belongs in [?]
Select the line segment.
O A.
P
OB.
R
S
Ос.
M
N
OD.
G
H
Answer: Choice A
Explanation: A segment (or line segment) is whenever we have two endpoints connected with a straight line. It does not go on forever in either direction.
Answer:
Step-by-step explanation:
B is a ray. One of its ends is stationary.
C is an arc which means it bends
D is a line.
That means that A is the answer. Both its ends are stationary.
In a survey 75 people, 60% said they have more than one tv at home. How many people have more than one tv at home?
Answer:
45
Step-by-step explanation:
Take the number of people surveys and multiply by the percent that said they have more than one tv
75 *60%
75 *.60
45
Kate has a bag that contains 7 blue, 5 purple,
12 red, and 6 orange marbles. What is the
probability of not choosing a blue or purple?
Answer:
3/5 or 60%
Step-by-step explanation:
7 blue, 5 purple,12 red, and 6 orange marbles = 30 marbles
P( not blue or purple) = red or orange/ total
= (12+6)/30
=18/30
=3/5
A composite figure is made up of one simple figure.
True or
False
Answer:
False
Step-by-step explanation:
A composite figure would be any irregular shapes and can be made up of multiple shapes
Determine the experimental probability of rolling a sum of 5 with 2 dice 50 times
Answer:
Step-by-step explanation:
If you rolled a die 50 times and got (say) 8 1s, 7 2s, 9 3s, 10 4s, 9 5s and 7 6s, then the empirical probability of a 1 would be 8/50, of a 2 would be 7/50, of a 4 would be 10/50, of a 5 would be 9/50, and of a 6 would be 7/50.
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 139 to 192 cm and weights of 38 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x hat= 167.82 cm, y hat= 81.39 kg,
r = 0.101, P-value = 0.317, and y = - 106 + 1.01x.
Required:
a. Find the best predicted value of y (weight) given an adult male who is 189 cm tall. Use a 0.05 significance level.
b. Find the best predicted value of y hat for an adult male who is 189 tall in ____kg.
When an adult is 189cm tall, his predicted weight in kg is 84.89kg
We have y = -106+1.01x. This is the regression equation
the y value represents weight and it is the predicted valuethe X value represents height and it is the predictorwe are to find y(weight) given that x (height) is 189 cm
y = -106 + 1.01x
y = -106+1.01*189
y = -106+190.89
y = 84.89 kg
In conclusion, when height is 189cm, weight is 84.89 kg
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A baseball fan wanted to know if there is a difference between the number of games played in a World Series when the American League won the series versus when the National League won the series. From 1922 to 2012, the population standard deviation of games won by the American League was 1.14, and the population standard deviation of games won by the National League was 1.11. Of 19 randomly selected World Series games won by the American League, the mean number of games won was 5.76. The mean number of 17 randomly selected games won by the National League was 5.42.
Required:
Conduct a hypothesis test use the 10% significance level.
Answer:
correct u did it
Step-by-step explanation:
told me
To conduct a hypothesis test to determine if there is a significant difference between the number of games won by the American League and the National League in the World Series, we can follow these steps:
Step 1: State the null and alternative hypotheses:
Null hypothesis (H0): There is no significant difference between the mean number of games won by the American League and the National League.
Alternative hypothesis (Ha): There is a significant difference between the mean number of games won by the American League and the National League.
Step 2: Determine the significance level:
In this case, the significance level is given as 10%, which means α = 0.10.
Step 3: Conduct the hypothesis test:
To conduct the hypothesis test, we can use a two-sample t-test because we have two independent samples and we do not have information about the population parameters.
Step 4: Calculate the test statistic and p-value:
Using the provided sample means, standard deviations, and sample sizes, we can calculate the test statistic and p-value using statistical software or a calculator.
Step 5: Compare the p-value to the significance level:
If the p-value is less than the significance level (α), we reject the null hypothesis and conclude that there is a significant difference between the mean number of games won by the American League and the National League. If the p-value is greater than the significance level, we fail to reject the null hypothesis.
Since the calculation of the test statistic and p-value requires specific values from the samples, such as the sample sizes, it is not possible to perform the exact calculation without those values. Additionally, the information provided in the question does not specify whether the data follows a normal distribution or other assumptions required for the t-test.
To conduct the hypothesis test accurately, it is recommended to use statistical software or consult a statistician who can perform the calculations using the provided sample means, standard deviations, and sample sizes.
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what is the formula to solve midpoint
Answer:
(x1 + x2) , (y1+y2)
2 2
Step-by-step explanation:
A basket contains 11/12 pound of strawberries. One serving strawberries is 1/4 pound. How many servings of strawberries are in the basket?
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!!
Answer:
3 2/3 servings
Step-by-step explanation:
Take the total amount of strawberries and divide by the number of strawberries in a serving.
11/12÷ 1/4
Copy dot flip
11/12 * 4/1
Rewriting
11/1 * 4/12
11/1 *1/3
11/3
Changing to a mixed number
3 2/3 servings
☆No of servings =Total strawberries weight/Per servings weight
[tex]\\ \sf\longmapsto \dfrac{11}{12}\div \dfrac{1}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{11}{12}\times \dfrac{4}{1}[/tex]
[tex]\\ \sf\longmapsto \dfrac{11(4)}{12}[/tex]
[tex]\\ \sf\longmapsto \dfrac{44}{12}[/tex]
[tex]\\ \sf\longmapsto \dfrac{11}{3}[/tex]
There are total 11/3servings The product of two positive integer numbers is 70 and the sum of the same two numbers is 17. Find the
numbers.
Answer:
7 and 10
Step-by-step explanation:
7 * 10 = 70
7 + 10 = 17
Answer:
10 and 7
Step-by-step explanation:
call them a and b, respectively
so a*b=70 -> b=70/a
a+b=17 ->a+70/a=17 ->a=10 b =7
Two cards are drawn without replacement from a standard deck of 5252 playing cards. What is the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a club
Answer:
The probability is 0.51
Step-by-step explanation:
We want to find the of choosing a red card for the second card drawn, given that the first card drawn without replacement, was a club.
Then we need to assume that the first card drawn was a club, so now we have a deck of 51 cards with:
13 hearts
13 diamonds
13 spades
12 clubs.
Now with this deck, the probability of drawing a red card is equal to the quotient between the number of red cards and the total number of cards in the deck.
We have 26 red cards (13 hearts + 13 diamonds)
And there is a total of 51 cards in the deck, then the probability of drawing a red card now is:
P = 26/51 =0.51
The probability is 0.51
The 47th Annual PDK/Gallup Poll of the Public’s Attitudes toward the Public Schools, conducted in May 2015, sampled 4,500 adult Americans and found that 64% feel there is too much emphasis on standardized testing in the public schools in their community.
Using the quick method, the estimated margin of error for conclusions having 95% confidence about the entire adult population of adult Americans is ___%?
Answer:
1.3809%
Step-by-step explanation:
Given ;
Sample size, n = 4500
Phat = 64% = 0.64
The margin of error :
Zcritical * √[Phat(1 - Phat) / n]
At 95% confidence level:
Zcritical at 95% = 1.96
Margin of Error :
1.96 * √[0.64(0.36) / 4500]
1.96 * 0.0071554
= 0.0138099
= 0.0138099 * 100%
= 1.3809%
The effective gross income from an office building property is $73,500 and the annual operating expenses total $52,300. If the owner expects to receive an 11% return on his investment, what is the value of the property?
Answer:
It’s b. $192,727
Step-by-step explanation
i hope this help
can I get brainly
What is 24/9 in simplest form
Answer:
2 2/3
Step-by-step explanation:
hope this helps :)
don't be afraid to ask questions
Kofi is 3 years older than Ama.If Ama is now x years old, what is kofi age
Answer:
x+3
Step-by-step explanation:
Kofi is 3 years older than Ama, so the answer is "x+3".
In a nationwide survey conducted by a reputable research center, a sample of adults in a certain country were asked whether they favor a plan to break up a small collection of megabanks, which controlled about % of the banking industry; % of those sampled responded in the affirmative. According to the report, "the margin of sampling error is / percentage points with a % level of confidence." Find and interpret a % confidence interval for the percentage of all adults in the country who favor a plan to break up the megabanks.
Answer:
(42% ; 48%)
We are 99% confident that the percentage of all adults in the country who favor a plan to break up the megabanks is between 42% and 48%
Step-by-step explanation:
The confidence interval is used to estimate the range of values for which the population value may lie at a certain level of confidence.
Given that :
Phat = 45%
Margin of error = ±3%
The confidence interval is defined as :
C. I = Phat ± margin of error
C. I = 45% ± 3%
Lower boundary :
45% - 3% = 42%
Upper boundary :
45% + 3% = 48%
C.I = (42% ; 48%)
We are 99% confident that the percentage of all adults in the country who favor a plan to break up the megabanks is between 42% and 48%
Thank you for all the help guys
Answer:
a is the right answer thanksA grocery store sells apples in bags. Each bag weighs 3/5 of a pound. Alberto's mother buys 6 pounds of apples to make applesauce. How many bags of apples does she buy?
Answer:
10
Step-by-step explanation:
these are small bags (just as comment), so in real life the cost of using bags would add significantly to the price of the apples.
anyway, so we need to find how many units of 3/5 pounds do we need to get 6 pounds ?
3/5 × x = 6
3 × x = 30
x = 10
she buys 10 bags to get 6 pounds.
I’m confused of how to do this
Answer:
y≤0
Step-by-step explanation:
The line is 0 for all x so y must be the one being manipulated
Because the line is solid and shaded on the negative side, y must be less than or equal to 0
beverly found a magic bean if she puts it in the soil every single day it will grow 4 cm after how many days will it grow 14.56 meters tall?
Answer:
It will take 364 days
Step-by-step explanation:
First, convert:
1 meter = 100 cm
14.56 meters = 1456 cm
1456 cm is how tall it is at the end, to find out how many days it takes to grow, divide 1456 by 4 (how much it grows every day).
1456/4 = 364 days
The number of days to grow by 14.56 meters is 364 days.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The number of days to grow is 14.56 meters will be calculated as:-
1 meter = 100 cm
14.56 meters = 1456 cm
1456 cm is how tall it is at the end, to find out how many days it takes to grow, divide 1456 by 4 (how much it grows every day).
1456/4 = 364 days
Therefore, the number of days will be 364.
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Which expression is equivalent to 15 n=10 (n+3/n)?
Answer:
±√6
Step-by-step explanation:
[tex]15n=10(n+\frac{3}{n} )[/tex] is your expression first muiltiply out the 10 to get 15n= 10n+10 3/n next subtract 10 n from both sides to get 5n=10+3/n multiply both sides by n to get 5n^2=13 combine both sides and use the quadratic equation to solve to get your solution of ±√6
V= pi r2h rectangular prism cylinder cone sphere
Answer:
Step-by-step explanation:
rectangular prism=lwh
cylinder=πr²h
cone=1/3 πr²h
sphere=4/3 πr³
