Answer:
4/3<x<7
Step-by-step explanation:
Given the inequalities
3 < 3 x − 1 < 2 x + 6
Add 1 to all sides
3+1 < 3x-1+1<2x+6+1
4 < 3x < 2x + 7
Split
4 < 3x
3x > 4
x > 4/3
4/3 <x
Also
3x < 2x + 7
3x-2x < 7
x <7
Combine
4/3<x<7
Hence the required solution is 4/3<x<7
Question 8 of 25
If a sample mean is 96, which of the following is most likely the range of
possible values that best describes an estimate for the population mean?
O A. (76, 108)
O B. (82, 114)
O C. (78, 110)
O D. (80, 112)
The correct range is (80, 112).
The correct option is (D).
What is mean?Mean is also said to be arithmetic mean. The meaning of mean is to evaluate the average. It is defined as the average of the given numbers.
As per the given data:
We are given the mean of the sample.
The mean of the sample = 96
In each option, a range is given.
We have to find out which is the correct range for the given mean.
For a range (a, b) the mean is given by:
mean = (a + b)/2
By using the above definition and checking all the options:
For (76, 108)
mean = (76 + 108)/2 = 92, Not the correct range
For (82, 114)
mean = (82 + 114)/2 = 98, Not the correct range
For (78, 110)
mean = (78 + 110)/2 = 94, Not the correct range
For (80, 112)
mean = (80 + 112)/2 = 96, The correct range
The correct range is (80, 112).
Hence, the correct range is (80, 112).
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What is the length of the hypotenuse
Answer:
C=17
Step-by-step explanation:
15^2+8^2=c^2
C^2=289
C=17
PLEEEEASEEE HELP ASAP
In the diagram, the measures of ∠1 and ∠4 are 105°. The measures of ∠5 and ∠8 are 115°. Are lines c and d parallel
a p e x
Answer:
a
Step-by-step explanation:
Answer:
Option A
Step-by-step explanation:
I just got done with this same quiz and i got a 100 .
solve for x. Leave your answer in the simplest radical form.
Answer:
x = 2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
'x' can represent the hypotenuse of a right triangle with a base of 4 (11-7) and a height of 2
use Pythagorean Theorem to find 'x':
2² + 4² = x²
4 + 16 = x²
x² = 20
x = [tex]\sqrt{20}[/tex]
x = [tex]\sqrt{4}[/tex]·[tex]\sqrt{5}[/tex]
x = 2[tex]\sqrt{5}[/tex]
GIVING BRAINIEST IF CORRECT!!!!!
Ciara is making a new outfit for dance. She needs 2 1/2 yards of fabric for the shawl. She needs 1 3/4 yards of fabric for the dress. If she has 3 yards of fabric, how much more does she need?
A. 7 1/4 yards
B. 1 1/4 yards
C. 2/3 yards
D. 2 2/3 yards
An equation is shown.
x^3 = 125
What are all the possible values of x?
A. -5 only
B. 5 only
C. -5 and 5
D. 5 and 25
Answer:
the answer is C
Step-by-step explanation:
the answer is C
brainliest goes to whoever answers the question correctly also if you want more points answer my other questions
Answer:
B
Step-by-step explanation:
Amanda does start with 30 homework questions
She does complete 3 questions every 2 minutes
After 10 minutes she has completed half of her questions
But she does not finish 2 questions every 3 minutes
hope this helps <3
Help please need answer ASAP
Answer:
60
Step-by-step explanation:
45 is a vertical angle so the angle opposite will also be 45 degrees. There is also 75 in the bottom left corner of the trianlge. 45 + 75 is 120. In a triangle the angles all equal 180 degrees. subtract 120 from 180. 180-120=60.
Hope this helps :D
Solve for x in the diagram below.
Step-by-step explanation:
x+(3x+10)=90
4x+10=90
4x=80
x=20 Ans
PLEASEEEE HELPPP MEEE.
DUE RIGHT NOW!!
Topic: Math
Solve all the questions
Answer:
1. x= 9
2. x= −2
3. 51 inches
4. $213.11 each month
Step-by-step explanation:
1. Simplify both sides of the equation.
x + 7 + 7x= 25 + 6x
Combine Like Terms
(x + 7x) + (7)=6x + 25
8x + 7= 6x + 25
8x + 7= 6x + 25
Subtract 6x from both sides.
8x + 7 − 6x= 6x + 25 − 6x
2x + 7= 25
Subtract 7 from both sides.
2x + 7 − 7= 25 − 7
2x= 18
Divide both sides by 2.
2x/2= 18/2
2. Subtract 5x from both sides.
x − 5x= 5x + 8 − 5x
−4x= 8
Divide both sides by -4.
−4x/−4= 8/−4
3. First find the perimeter of the trapezoid
4 + 3 + 4 + 8= 19
A square has all equal sides
8 * 4= 32
Add them together
19 + 32 = 51 inches
4. Subtract the amount she put for finance from the total
1598.66 - 320 = 1278.66
Then divide that amount by the 6 months
1278.66 divided by 6 = 213.11
$213.11 each month
In summer, the price of strawberries goes up by $1.25 per pound. Sam bought two pounds of strawberries at the new price for $8.46. Write an algebraic equation to determine the original price per pound (s). Use the equation to find the original price per pound.Show your work.
Answer:
The original price was $7.21
Step-by-step explanation:
8.46-1.25= 7.21
your school is having a fundraiser in order to pay for t-shirts. They need to raise $882.69. They have already collected $92.85 in donations. Their goal is to have $190 donated each week. How many weeks do they need to fundraise?
There is 5 weeks do they need to fundraise.
What is the inequality?Inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol.
Your school is having a fundraiser in order to pay for t-shirts.
They need to raise $882.69.
They have already collected $92.85 in donations.
Their goal is to have $190 donated each week.
Let, x be the number of weeks do they need to fundraise.
The number of weeks do they need to fundraise is given by;
[tex]\rm 92.85 +190x > 882.69\\\\190x > 882.69-92.85\\\\ 190x > 789.84\\\\x > \dfrac{789.84}{190}\\\\x > 4.15[/tex]
Hence, there is 5 weeks do they need to fundraise.
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21 3/5 is what percent of 40?
Answer:
21.6 is 54% of 40.
Step-by-step explanation:
HOPE THIS HELPS!!!
Have a great day!
- Hailey: )
A hospital recorded the weights, in ounces, of newborn babies for two weeks. The
results are listed below.
Weights of babies born during week one: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126
Weights of babies born during week two: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130
Which statement is true?
Answer:
The standard deviation for week two was about 3 ounces more than the standard deviation for week one
Step-by-step explanation:
Given
[tex]Week\ 1: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126[/tex]
[tex]Week\ 2: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130[/tex]
See attachment for options
Required
The true statement
Checking the standard deviation
For week 1
Calculate the mean:
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{128+ 105+ 80+ 82+ 96+ 98+ 87+ 100+ 112+ 126}{10}[/tex]
[tex]\bar x = \frac{1014}{10}[/tex]
[tex]\bar x_1 = 101.4[/tex]
Then standard deviation
[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]
[tex]\sigma_1 = \sqrt{\frac{(128 - 101.4)^2 +............+ (126- 101.4)^2}{10}}[/tex]
[tex]\sigma_1 = \sqrt{\frac{2522.4}{10}}[/tex]
[tex]\sigma_1 = \sqrt{252.24[/tex]
[tex]\sigma_1 = 15.88[/tex]
For week 2, we have:
[tex]\bar x = \frac{75+ 85+ 90+ 97+ 89+ 105+ 110+ 127+ 129+ 130}{10}[/tex]
[tex]\bar x = \frac{1037}{10}[/tex]
[tex]\bar x_2 = 103.7[/tex]
Then standard deviation
[tex]\sigma_2 = \sqrt{\frac{(75 - 103.7)^2 +................+ (130- 103.7)^2}{10}}[/tex]
[tex]\sigma_2 = \sqrt{\frac{3538.1}{10}}[/tex]
[tex]\sigma_2 = \sqrt{353.81[/tex]
[tex]\sigma_2 = 18.81[/tex]
Compare the standard deviations
[tex]\sigma_1 = 15.88[/tex]
[tex]\sigma_2 = 18.81[/tex]
Calculate the difference:
[tex]d = \sigma_2 - \sigma_1[/tex]
[tex]d = 18.81 - 15.88[/tex]
[tex]d = 2.93[/tex]
[tex]d \approx 3[/tex]
This implies that option (b) is true
3
What is the difference of
21
?
4
Answer:
The difference is 4–3. If you want the difference between 3 and -4, then the difference is 7.
Step-by-step explanation:
URGENT THIS IS FOR FINALS CAN SOMEONE PLZ SOLVE IT I will brain list
Answer:
were is the line
Step-by-step explanation:
Answer:
1- y=2x-5
2- y=-1/6x-5
Hope this helps you!!
A toy company used 18 pints to make 9 action figures, which is a rate of _ pints per figure
Answer:
For 1 figure, 2 pints are used
Step-by-step explanation:
9 figures = 18 pints
1 figure = 18/9
1 figure = 2 pints
Hope this helps!
1. last question. please help me out thank you. ill mark you brainlist
Answer:
-7
Step-by-step explanation:
Answer:
x = -7
Step-by-step explanation:
3x + 6 = x - 8
-x -x
(subtract x from both sides)
2x + 6= −8
-6 -6
(subtract 6 from both sides)
2x = -14
/2 /2
(divide 2 by both sides)
x = -7
hope this helped!
A 16 ft ladder leans against a wall so that the base of the ladder is 5 ft away from the base of the wall. How far up the wall does the ladder reach.
Answer:
The ladder would reach 15.2 feet up
find the area of the trapezoid?
Answer:
46,746 mm²
Step-by-step explanation:
½×(210+84)×318
= 46,746 mm²
Use the relationships between the angles to find the value of . 75° 40 X 15 degrees
Answer:
x = 65
Step-by-step explanation:
All angles in the triangle equal 180
Set up your formula as
180 = x+75+40
180-75-40=x
65=x
1½ hours is how much in seconds??
3/2=1.5 hour=5400 second
Hope it helps you
Answer:
5,400 seconds.
Lena has two coupons for pants.
Coupon A: 45% off of $47 pants
Coupon B: $25 rebate on $47 pants
Choose the coupon that gives the lower price.
Answer:
coupon A
Step-by-step explanation:
coupon A 45%÷100=0.45 so 0.45×47= gives 21.15. coupon B 25÷2=23.50 so that the solution the lower price is coupon A $21.15
Help, and if you send a link I whole report
A. 65
B. 30
C. 10
D. 50
Answer:
50
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
D. 50
Step-by-step explanation:
∠CGF and ∠AFG add up 180° because they are same side interior angles. We can write an equation to model the situation:
m∠CGF + m∠AFG = 180°
And, we can substitute:
3x - 20 + x = 180
4x - 20 = 180
4x = 200
x = 50
What is the probability of rolling a 6 and then a 7 on a number cube?
NO LINKS PLEASE!
Answer:
the probability of rolling 6 is 16 or 16.7%.
the probability of rolling 7 is 0.
Step-by-step explanation:
7 is 0 because its impossible to roll a 7 on one number cube.
QUESTION 2 PLEASE HELP ME!!!
Answer:
Look it up up
Step-by-step explanation:
The two-way frequency table shows the laptop color preferences, for a random sample of high school students. Which statement is correct? Select one:
O Most males preferred black laptops.
O Most females preferred black laptops.
O Red was the least preferred color for a laptop, amongst male high school students surveyed.
OBlack was the most preferred color for a laptop, amongst all high school students surveyed.
Answer:
Most males preferred black laptops
Step-by-step explanation:
The volume of a cone is
42in ^ 3 and the cone's base area is 9in ^ 2
What is the height of the cone ?
Answer: The answer is 0.495
Step-by-step explanation: I got this answer from a volume calculator, I just looked it up on the internet. Hoped this helped!
Jeffrey's recipe for oatmeal muffins calls for 2 3/4 cups of oatmeal and makes one dozen muffins. If he makes 2 dozen muffins for a club meeting and 1 1/2 dozen muffins for a family reunion, how much oatmeal will he use?
Answer:
5
Jeffrey will use 9 __ cups of oatmeal
8
Step-by-step explanation:
2.75 cups of oatmeal per 1 dozen
2.75 x 2 = 5.5
2.75 + 2.75(1/2) = 4.125
add
5.5 + 4.125 =
9.625 cups of oatmeal
or
9 5/8 cup