a number p divided by 7 is less than -3
The inequality expression is p ÷ 7 < -3.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Number = p
Now,
A number p divided by 7 is less than -3
This can be written as,
p ÷ 7 < -3
p/7 < 3
p < (7 x 3)
p < 21
Thus,
The number p is less than 21.
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A map website claims to be available 99.995% of the time (measured in minute long increments). Suppose
that we took random samples of n = 1000 minutes from the population of minutes in a year and
computed the proportion of minutes in each sample for which the website was available. We can assume
the website's claim is accurate.
What will be the shape of the sampling distribution of the proportions of minutes in which the website is
available?
Choose 1 answer:
O Approximately normal
Uniform
Skewed to the right
Skewed to the left
Answer:
Skewed to the left
Step-by-step explanation:
Khan Academy
The shape of the sampling distribution of the proportions is "approximately normal" is the correct answer.
What is the sampling distribution of proportion?"The sampling distribution of proportion measures the proportion of success, i.e. a chance of occurrence of certain events, by dividing the number of successes i.e. chances by the sample size n".
For the given situation,
Total number of random samples = 1000
A map website claims to be available of time = 99.995%
⇒ [tex]0.99[/tex]
Let us assume the website's claim is accurate.
Sample proportions closest to 0.6 would be most common, and sample proportions far from 0.6 in either direction would be progressively less likely. In other words, the shape of the distribution of sample proportion should bulge in the middle and taper at the ends: it should be somewhat normal.
Hence we can conclude that the shape of the sampling distribution of the proportions is "approximately normal" is the correct answer.
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DEFG has coordinates D(2, 5), E(3, 1), F(4, 6), and G(6, 6). If the polygon is translated 2 units to the left, what are the coordinates of G'?
Answer:
[tex]G' = (4,6)[/tex]
Step-by-step explanation:
Given
[tex]D = (2, 5)[/tex]
[tex]E = (3, 1)[/tex]
[tex]F = (4, 6)[/tex]
[tex]G = (6, 6)[/tex]
Translation: 2 units left
Required
Determine the coordinates of G'
When a point (x,y) is translated by b units to the left, the new coordinates is (x-b,y)
So, if
[tex]G = (6, 6)[/tex]
G' would be:
[tex]G' = (6-b,6)[/tex]
In this case:
[tex]b = 2[/tex]
So, we have:
[tex]G' = (6-2,6)[/tex]
[tex]G' = (4,6)[/tex]
Solve for x.
6x + 10 = 52
Answer:
7
Step-by-step explanation:
well let’s just think that there’s already 10. let’s ignore the 10 for later.
now let’s think about 6x. of course the x is unknown (variable) which we have to find, so what you want to do, (easy way) think of every multiple of the number 6. so that of course includes 6, 12, 18... etc. now if you continue, you will get to the number 42. now it might not click right there but 42... is what we need since we already have the 10. since 42 + 10 = 52, now we just need to find out what 42 divided by 6 is... 7! 7x6 or 7(6) is 42, plus the starting 10 is 52!
therefore, x = 7.
what is the intermediate step in the form
[tex](x + a) ^{2} = b[/tex]
as a result of completing the square for the following equation
WILL MARK YALL BRAINLIST
Answer:
114
Step-by-step explanation:
We know that [tex]f(x) = 4x^2-7x+12[/tex] and that [tex]f(x) = f(6)[/tex]. Therefore, you substitute x as 6 in the given expression.
Calculations:
[tex]f(x) = 4x^2-7x+12[/tex]
[tex]f(6)=4(6)^2-7(6)+12[/tex]
[tex]4(36)-42+12=114[/tex]
James has $45 in his savings account. Each week, he earns and deposits $100 from mowing the family lawns. Write an equation that represents his total, y, after x weeks.
Answer:
i might have forgot
Step-by-step explanation:
opps
HELP I WILL GIVE BRAINLIEST I PROMISE
There are 8 students on the school chess team. They need to raise at least $760 for a field trip. Their advisor says they still need to raise 85% of the funds, and she wants each of them to raise an equal share of the money still needed. Diego wrote and solved the inequality 8m + 0.85(760) ≥ 760 to find the least amount of money, m, each student on the chess team needs to raise. He says the solution is m ≥ $14.25. Diego is incorrect. What should be the correct solution? *
10 points
m ≤ $14.25
m ≥ $80.75
m ≤ $80.75
Answer:
m ≤ $14.25
Step-by-step explanation:
Answer:
m ≤ $80.75
Step-by-step explanation:
hope it helps
4 cm
7-64. When Madelyn examined the triangle at left, she says, “I
don't think this diagram is drawn to scale because I think the
side labeled x has to be longer than 4 cm.”
26°
42°
a. Do you agree with Madelyn? Why or why not?
b. Leila thinks that x can be determined by using right triangles. Review what you learned in
Lesson 7.2.1 by calculating the value of x.
Answer:
k
Step-by-step explanation:
The value of x is determined as 6.10 cm using law of sines and the diagram is correctly drawn.
What is the law of sines?The sine law is used to calculate the sides and angles of a triangle. It states that the ratio of the sides and the angles opposite to it are equal.
It can be written a/SinA = b/SinB = c/SinC.
For the diagram shown, the length of side of triangle can be calculated by Sin law as,
x/Sin(42°) = 4/Sin(26°)
⇒ x = 4/Sin(26°) × Sin(42°)
⇒ x = 6.10
Thus, x is greater than 4 cm.
(a) One cannot agree with Madelyn because x is greater than 4 cm.
(b) The value of x can be found by using law of sines.
Hence, the value of x is 6.10 and the diagram is drawn to scale.
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Hello, if you know the answer, please explain how you got the answer to this
Answer:
b
Step-by-step explanation:
because the bottom part of the triangle shrunk by 4
A. bread recipe calls for 5 cups of flour and 2 teaspoons of yeast.
a. how much flour and how much yeast do you need for two batches of bread draw a picture that shows the batches as well as the total amount of flour and total amount of yeast needed.
Answer:
5 pints of flour and 4 teaspoons of yeast.
Step-by-step explanation:
5*2=10
2*2=4
5*2=10
2*2=4Answer:
Step-by-step explanation:
Lin’s family’s longevity noodles are about 15 cm long and Chen’s family’s longevity noodle are 8 cm longer than Lin’s family’s noodle. Write an equation that can be used to find the length of Chen’s family longevity noodle. Solve the equation.
Answer: 23 cm(Hope it's Right!)
Step-by-step explanation:
Write Lin as L and Chen as C
So put 25cm+8cm
Can anyone help me!! You don’t have to answer all just one would be fine!
Answer:
3. SinD= 12/15; Sin E= 9/15
4. sinD= 35/37; sinE= 12/37
5. sinD= 28/53; sinE= 45/53
6. Because the numerator should be 12 since that is the side opposite to the angle A.
Step-by-step explanation:
EASY MATH! 20 POINTS!
What is the initial value of the exponential function represented by the table?
1/8
1/4
1/2
1
Answer:
1/4 i think if not
A line passes through the points (-4,3) and (0,0) what is the slope of the line?
Answer:
Slope: -3/4
Step-by-step explanation:
Use the formula:
[tex]\frac{y^{2} -y}{x^{2} -x}[/tex]Substitute the points (-4, 3) and (0,0) into the equation:
[tex]\frac{0- 3}{0-(-4)}[/tex]Solve.
[tex]\frac{-3}{4}[/tex]
4,000,900 divided by 1,000
Answer:
4000.9
Step-by-step explanation:
9.
Find the area of the triangle.
6ft
9ft
Area =
ft?
Enter the answer
Answer:
Area= 24ft squared
Step-by-step explanation:
Area= 1/2 Bh
A= 1/2 9(6)
A= 1/2 48
A= 24ft
A bucket holds 2 1/2 gallons of water. Ryan fills it 3 1/4 times with the water from a barrel. How much water was in the barrel?
Answer:
8 1/8 gallons
Step-by-step explanation:
2 1/2 = 5/2
3 1/4 = 13/4
(5/2)(13/4) = 65/8 = 8 1/8 gallons
Help guys I really need it
Answer:
yes it does
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
Using the slope formula, find the slope of the line through the points (0,0) and (4,16)
1. 6x + 2y = -12
4x + 3y = 7
2. 4x - y = 26
5x - 4y = 8
3. 5x + 3y = 13
17x + 8y = -16
using elimination to solve each system of equations
Answer:
J71763eua8w8w8us
Nakshatra w
Nskd8w8
I2991992
(8x + 9) + (15 - 8x)
Answer:
24
Step-by-step explanation:
Find the length of C
HELP ASAP PLZ
Answer:
c is 6 so it would be c = 6 cause the triangle is isoceles and c is the hypotenouse (i don't know how to spell it)
Choose the correct answer
When solving a quadratic equation using the quadratic formula, the value of the discriminant is -16. How
many and what type of solutions does the quadratic equation have?
on
O 1 Rational Solution
ne
2 Irrational Solutions
O 2 Imaginary Solutions
O 2 Rational Solutions
• Previous
Next
Answer:
Step-by-step explanation:
Rational solution
John said he can find 38×10 by adding a 0 to the end of 38 to get 380. John finds 46.52×10 using the same method and gets 46.520. Use the drop-down menus to complete the statement about why John is correct or incorrect. CLEAR CHECK John is because 46.52 is 46.520. 46.52×10=
Answer: See explanation
Step-by-step explanation:
John said he can find 38×10 by adding a 0 to the end of 38 to get 380. John finds 46.52×10 using the same method and gets 46.520.
For the first one that is, 38 × 10 = 380, John is correct. For the second one, that is, 46.52 × 10 = 46.520. John is incorrect. In this case, the first one is correct because John was multiplying by a whole number.
For the second one involving a decimal, John could have shifted the decimal point one place to the right and not add 0 to the end. Then he will get:
46.52 × 10 = 465.2
Find the quotient. 4,610 ÷ 16
show work please <3.
Answer:
2305/8
Step-by-step explanation:
what is the slope of the line y=(-2/5)x+y
Answer:
-2/5
The number before the x is the slope.
EXTRA POINTS ASAP
find the 10th term of the geometric sequence 3,15,75...
What is the equation for the sequence and what calculation was necessary to find the nth term indicated.
plz help!!!!!!!!!!!!!!!!!!
Answer:
Game 1
Step-by-step explanation:
I would choose Game 1. Both of the games have the same chance that you will win, but Game 1 has a slightly larger chance that you will win. The chance you will win game one is 3/6, or 1/2, while the chance you will win game two is 2/6.
Hope it helps!
All faces of the wooden chest will be painted except for the bottom.Find the area to be painted,in square inches.
Answer:32 square inches
Step-by-step explanation: