HELP ASAP DON'T SPAM Graph the solution to this inequality on the number line. x + 3 < -2 First select the correct ray. Then select the location of the endpoint to plot the inequality on the number line.
Answers
Answer:
x < -5
Step-by-step explanation:
x + 3 < -2
- 3 - 3
_________
x < -5
On the number line, the values of x are on the left side of -5 where -5 is not included and this can be determined by simplifying the given inequality.
Given :
Inequality -- (x + 3 < -2)
The following steps can be used to graph the solution of the given inequality:
Step 1 - Write the given inequality.
x + 3 < -2
Step 2 - First, simplify the given inequality. Subtract 3 on both sides in the above inequality.
x + 3 - 3 < -2 - 3
x < -5
Step 3 - So, the interval of x is given by ([tex]-\infty[/tex], -5).
Step 4 - On the number line, the values of x are on the left side of -5 where -5 is not included.
So, the correct option is a).
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Related Questions
An advertisement for a popular weight-loss clinic suggests that participants in its new diet program lose, on average, more than 10 pounds. A consumer activist decides to test the authenticity of the claim. She follows the progress of 18 women who recently joined the weight-reduction program. She calculates the mean weight loss of these participants as 10.8 pounds with a standard deviation of 2.4 pounds. It may be assumed that the weight loss of participants to the weight-reduction program is normally distributed.
a) set up the competing hypotheses to test the advertisement's claim
b) at the 5% significance level, what is the critical value(s)? specify the decision rule
c) what does the consumer activist conclude?
Answers
Testing the hypothesis, it is found that:
a)
The null hypothesis is: [tex]H_0: \mu \leq 10[/tex]
The alternative hypothesis is: [tex]H_1: \mu > 10[/tex]
b)
The critical value is: [tex]t_c = 1.74[/tex]
The decision rule is:
If t < 1.74, we do not reject the null hypothesis.If t > 1.74, we reject the null hypothesis.c)
Since t = 1.41 < 1.74, we do not reject the null hypothesis, that is, it cannot be concluded that the mean weight loss is of more than 10 pounds.
Item a:
At the null hypothesis, it is tested if the mean loss is of at most 10 pounds, that is:
[tex]H_0: \mu \leq 10[/tex]
At the alternative hypothesis, it is tested if the mean loss is of more than 10 pounds, that is:
[tex]H_1: \mu > 10[/tex]
Item b:
We are having a right-tailed test, as we are testing if the mean is more than a value, with a significance level of 0.05 and 18 - 1 = 17 df.
Hence, using a calculator for the t-distribution, the critical value is: [tex]t_c = 1.74[/tex].
Hence, the decision rule is:
If t < 1.74, we do not reject the null hypothesis.If t > 1.74, we reject the null hypothesis.Item c:
We have the standard deviation for the sample, hence the t-distribution is used. The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.For this problem, we have that:
[tex]\overline{x} = 10.8, \mu = 10, s = 2.4, n = 18[/tex]
Thus, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{10.8 - 10}{\frac{2.4}{\sqrt{18}}}[/tex]
[tex]t = 1.41[/tex]
Since t = 1.41 < 1.74, we do not reject the null hypothesis, that is, it cannot be concluded that the mean weight loss is of more than 10 pounds.
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I need help ASAP
Mrs. Stevens deposited $4,500 in a college savings account for her grandson that earns an annual simple interest rate of 6.5%. How much interest will be paid in 10 years?
Answers
The interest that will be paid in 10 years is = $2,925
The total amount of money deposited as savings (p)
= $4,500,
The annual simple interest rate (r) = 6.5%.
The time to collect the interest expected (t) = 10 years.
There the simple interest generated =
[tex] \frac{p \times t \times r}{100} [/tex]
[tex] \frac{4500 \times 10 \times 6.5}{100} [/tex]
[tex] \frac{292500}{100} [/tex]
Therefore simple interest = $2,925
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Find the coordinates of point p along the directed line segment AB, from A (-2,-4) to B (6,1), so that the ratio of AP to PB is 3 to 2
Answers
Answer:
Step-by-step explanation:
x distance from A to B
6 - (-2) = 8
3/5(8) = 24/5 = 4.8 or 2/5(8) = 16/5 = 3.2
-2 + 4.8 = 2.8 6 - 3.2 = 2.8
y distance from A to B
1 - (-4) = 5
3/5(5) = 3 or 2/5(5) = 2
-4 + 3 = -1 1 - 2 = -1
P = (2.8, -1)
The coordinates of point P (rounded to one decimal place) along the directed line segment AB are approximately (2.8, -1).
Given that the line segment has been divide into ratio 3:2 by a point P, we need to find the coordinates of the point P.
To find the coordinates of point P along the directed line segment AB, such that the ratio of AP to PB is 3 to 2, we can use the concept of section formula in coordinate geometry.
Let's assume the coordinates of point P are (x, y). According to the given information, the ratio of AP to PB is 3 to 2. This means that the distance between A and P (AP) is three times the distance between P and B (PB).
The section formula states that if a point P(x, y) divides the line segment joining points A(x₁, y₁) and B(x₂, y₂) in the ratio m:n, then the coordinates of point P can be calculated as:
x = (mx₂ + nx₁) / (m + n)
y = (my₂ + ny₁) / (m + n)
In this case, m = 3 and n = 2.
Coordinates of A: (x₁, y₁) = (-2, -4)
Coordinates of B: (x₂, y₂) = (6, 1)
Ratio m:n = 3:2
Now, let's plug the values into the section formula to find the coordinates of P:
x = (3 · 6 + 2 · (-2)) / (3 + 2)
= (18 - 4) / 5
= 14 / 5
= 2.8
y = (3 · 1 + 2 · (-4)) / (3 + 2)
= (3 - 8) / 5
= -5 / 5
= -1
So, the coordinates of point P is (2.8, -1).
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mrs.graves gave her class 12 minutes to read. carrie read 5 and 1/2 pages in that time .at what rate , in pages per hour ,did carrie read?
A. 1 1/0
B. 22
C. 27 1/2
D. 66
Answers
Answer:c
Step-by-step explanation:
Evaluate.
8 8/7 + (7 5/6 - 2 1/3)
Enter your answer as a mixed number in simplest form by filling in the boxes.
(Giving away brainliest, 5 stars and a thanks for whoever answers first with the correct answer)
Answers
Evaluate:- 8 8/7 + (7 5/6 - 2 1/3)
⟼ (63+7)/7 + [(42+5)/6 - (6+1)/3
⟼70/7 + [47/7 - 7/3]
⟼ 70/7 + [(141- 49)/21]
⟼ 70/7 + [92/21]
⟼ 70/7 + 92/21
Now, take the LCM of 7 and 21 is 21.
so,
⟼ (210 + 92)/21
⟼ 302/21 or 14(8/21) Ans.
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What is the value of the expression? (5 1/4 - 2 1/2) + (6…
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4.
A small box holds 80 stuffed toys. A large box
holds 155% as many stuffed toys as than a
small box. How many stuffed toys does the large
box hold?
Answers
Answer:
The large box would hold 124 this is because 155 percent of 80 is 124
What is f(g(-1)) for f(x) = 2x - 3 and g(x) = x2 + 11?
A) 12
B) 21
0.32
D) 36
E) 45
Answers
Answer:
I think it is c I hop I'm right
3. Mikayla was making origami frogs. If she made 8
frogs a day, how many days would it take her to
make 200?
Answers
Answer:
25 days
Step-by-step explanation:
200/8 = 25
25 days
Answer:
25 days
Step-by-step explanation:
You would take 200 ÷ 8 to get the amount of days it took her to make the frogs, which is 25 days because 8 × 25 = 200.
Admission to the movies is $10 for adults and $7 for children. Find the
total admission for 4 adults and 8 children.
Answers
Answer:
$96
Step-by-step explanation:
4 times 10 is 40. 7 times 8 is 56. 40 + 56 = 96
Simplify c+c+7+5c-3-6c.
Help
Answers
Answer:
c+4
Step-by-step explanation:
Simplification of the expression c+c+7+5c-3-6c is c+4.
What is an expression?In mathematics, expression is the combining of variables with the application of operations and prescribed rules. It could take the shape of an equation, some numbers, etc.
Given, the expression
c+c+7+5c-3-6c
Simplifying,
c+c+7+5c-3-6c
= 7c-6c + 7-3
= c+4
Therefore, after the simplification expression is c+4.
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if 7p-4=8 what is the value of P? Can someone give me example so I can answer my question. Thanks!
Answers
Answer:
p=[tex]1\frac{5}{7}[/tex]
Step-by-step explanation:
7p-4=8
7p=8+4
=12
p=12÷7
=[tex]\frac{12}{7}[/tex]
=[tex]1\frac{5}{7}[/tex]
1% of the parts produced by a factory are defective. Suppose the test for defective parts has a 99.5% accuracy and a 0.6% false positive rate. SUppose you pick a part and receive a positive test result. WHat is the probability that the part is indeed defective
Answers
Using conditional probability, it is found that there is a 0.6262 = 62.62% probability that the part is indeed defective.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Positive test result.
Event B: Defective.
For the probability of a positive test result, we consider two scenarios.
99.5% of 1%(defective).0.6% of 100 - 1 = 99%(false positive).Hence:
[tex]P(A) = 0.995(0.01) + 0.006(0.99) = 0.01589[/tex]
The probability of a positive test result and being defective is:
[tex]P(A \cap B) = 0.995(0.01)[/tex]
The conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.995(0.01)}{0.01589} = 0.6262[/tex]
0.6262 = 62.62% probability that the part is indeed defective.
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(1,4) and (6,-1)
find the point slope asap plsssssss
Answers
Answer:
(5,-5)
Step-by-step explanation:
-1-4
------ = (5,-5)
(6-1)
Answer:
Slope intercept form: y = -x + 5
Point slope form: y - 4 = -1 (x - 1)
Step-by-step explanation:
First we need to find slope by using this formula⤵⤵⤵
[tex] \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]
(Sorry if it's a bit small btw)
-1 - 4 = -5
6 - 1 = 5
Simplify -5/5 by dividing, and your slope is -1.
Now we plug in one of the points and the slope into the point slope formula⤵⤵⤵
[tex]y - y _{1} = m(x - x _{1})[/tex]
We'll use point (1,4) for this:
y - 4 = -1 (x - 1)
To solve this, start by distributing the -1 among everything inside the parenthesis to get
y - 4 = -x + 1. Next, add 4 on both sides to get
y = - x + 5.
Hope this helps you :)
What is the additive inverse of 16 5/7?
Answers
Answer:
The additive inverse of 16 5/7 is -16 5/7
Step-by-step explanation:
Basically, additive inverse is changing of signs (+ -)
Hoped this helped.
10:8 as a equivalent ratio
Answers
2. What is the interpretation of the constant of proportionality?
0.001 kilometers per meter
0.001 meter per kilometer
Pls
Answers
Answer: It would be the first one, 0.001 kilometers per meter.
Step-by-step explanation: is 1,000 meters is equal to 1 kilometer, you would have to move the decimal on each until one is at one and the other is at 0.001. This would leave you with the first answer. Hope this helps!
PLS HELP ILL GIVE BRAINLIEST Sandra and Jenny spend a certain amount of money from their money box each month to buy plants.
The table shows the relationship between the amount of money (y) remaining in Sandra's money box and the number of months (x).
The equation shows the relationship between the amount of money, y, remaining in Jenny's money box and the number of months, x. Which function shows a greater rate of change?
Answers
Answer:
Function 1 has the greater rate of change.
Step-by-step explanation:
Function 1 has a rate of change of -5
Function 2 has a rate of change of -8
I really hope this helps!!
x = 4
X
x = -6
determine if it’s parallel, perpendicular, or neither
Answers
Answer: parallel
Step-by-step explanation:
Answer:
I am not sure if I am translating this equation correctly but I think it is parallel.
Step-by-step explanation:
If it is just x=4 and x=-6 it is parallel as you can see from the picture below
Hope this helps!
Kathy is baking 3 apple pies. Each pie requires 2 3/4 pounds apples. Apples cost $2.49 a pound. About how much will Kathy spend on apples?
Answers
Answer:
$20.55
Explanation:
1apple pie needs 2/3/4pounds of apple 1pound cost $2.492/3/4 = ?2/3/4 ×2.49 =$6.85 for one pieFor 3 pies , =$6.85×3 = $20.55The total amount spent on apples is $20.5425.
Given that, Kathy is baking 3 apple pies. Each pie requires 2 3/4 pounds of apples. Apples cost $2.49 a pound.
We need to find out how much will Kathy spend on apples.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the amount spent on apples be x.
Now, 2 3/4=11/4
The total number of apples required to make 3 apple pies=3 × 11/4
=33/4 pounds
Apples cost $2.49 a pound.
So, the amount spent on apples=x=33/4 × 2.49
=$20.5425
Therefore, the total amount spent on apples is $20.5425.
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11y+7+5(y-3) as binomial forms
Answers
Answer:
16y − 8 is your answer!
Step-by-step explanation:
Simplify the expression!
Can someone help me do this problem and explain it to me step by step? If so I’ll mark you brainliest
Answers
Answer:
-21
28
Step-by-step explanation:
1) if r = -4
Substitute r = -4 in 3r - 9
= 3 * (-4) - 9
= -12 - 9
= -21
2) ( 4 / 7 ) * x = 16
4 * x = 16 * 7
x = 4 * 7
x = 28
The expression 3a + 2.4 is equal to _ for a=1.8
Answers
What is the value of x? 10 points
6
12
6√2
3
Answers
Answer:
12
Step-by-step explanation:
the triangle is isosceles- right angled triangle
(6sqrt2)^2+(6sqrt2)^2=x^2
therefore x=12
are the two sides of congress the Senate and the Supreme Court?
Answers
Answer:
Step-by-step explanation:
Legislative—Makes laws (Congress, comprised of the House of Representatives and Senate) Executive—Carries out laws (president, vice president, Cabinet, most federal agencies) Judicial—Evaluates laws (Supreme Court and other courts)
State the theorem or postulate that proves a||b . (Picture included )
Answers
7. Theorem : When a transversal cuts two lines, such that pairs of corresponding angles are equal, then the lines have to be parallel.
8. Postulate : When a transversal cuts two lines, such that pairs of alternate interior angles are equal, the lines have to be parallel.
Good Luck
If a = 4 and c = 2 then what is 5ac
Answers
Answer:
40
Step-by-step explanation:
by replacing the value and multiplying the numbers and the answer will come 40
Answer:
5ac = 40
Step-by-step explanation: When the letters and the numbers are toghether without a symbol they multiply each other.
So 5 x 4 x 2 = 40
Find the angle between u and v, rounded to the nearest tenth degree.
u = (4, 0, 2), v = (6, −3, 0)
Answers
Answer:
The angle between vectors u and v is [tex]\theta\approx36.9^\circ[/tex]
Step-by-step explanation:
Recall:
Angle between vectors u and v --> [tex]\theta=cos^{-1}(\frac{u\bullet v}{||u||*||v||})[/tex]Dot product (three-dimensional) --> [tex]u\bullet v=u_1v_1+u_2v_2+u_3v_3[/tex]Magnitude (three-dimensional, vector u) --> [tex]||u||=\sqrt{u_1^2+u_2^2+u_3^2}[/tex]Magnitude (three-dimensional, vector v) --> [tex]||v||=\sqrt{v_1^2+v_2^2+v_3^2}[/tex]Calculation:
Dot product --> [tex]u\bullet v=(4)(6)+(0)(-3)+(2)(0)=24[/tex]Magnitude (u) --> [tex]||u||=\sqrt{4^2+0^2+2^2}=\sqrt{16+0+4}=\sqrt{20}=2\sqrt{5}[/tex]Magnitude (v) --> [tex]||v||=\sqrt{6^2+(-3)^2+0^2}=\sqrt{36+9+0}=\sqrt{45}=3\sqrt{5}[/tex]Plug dot product and magnitudes into formula:
[tex]\theta=cos^{-1}(\frac{u\bullet v}{||u||*||v||})=cos^{-1}(\frac{24}{2\sqrt{5}*3\sqrt{5}})=cos^{-1}(\frac{24}{6*5})=cos^{-1}(\frac{24}{30})\approx36.9^{\circ}[/tex]
Conclusion:
The angle between vectors u and v is [tex]\theta\approx36.9^\circ[/tex]
Duidueydheueudhrueyeue
Answers
∠1 = 121°, ∠2 = 59°, ∠3 = 121°, ∠4 = 121°, ∠5 = 59°, ∠6 = 121° and m∠7 = 59°
Step-by-step explanation:
Suppose m∠8 = 59° (given angle)
Since m∠8 = 59°, m∠5 = 59° (Corresponding Angles)
Again, m∠8 = 59° so therefore, m∠2 = 59° (Alternative interior Angles)
Next since m∠2 = 59°, m∠7 is also 59° (Corresponding Angles)
Then since m∠8 = 59°, m∠7 = 59° (Alternative Exterior Angles)
Finally since m∠8 = 59° and m∠2 = 59°, therefore, m∠2 = m∠5 (Alternative Interior Angles)
…
Thus, ∠1 = 121°, ∠2 = 59°, ∠3 = 121°, ∠4 = 121°, ∠5 = 59°, ∠6 = 121° and m∠7 = 59°
A recipe calls for 2/3 cup of milk. How much milk should be used to make 1/6 of the recipe?
Answers
________________
The answer is 1/9
_________________
Find the distance between the following points: (0,0,0) and (-2,6,3)
1. √7
2. √41
3. 7
4. 36
PLEASE HELP ASAP
Answers
9514 1404 393
Answer:
3. 7
Step-by-step explanation:
The distance formula applies in 3 dimensions as well as 2.
d = √((x2 -x1)² +(y2 -y1)² +(z2 -z1)²)
d = √((-2)² +6² +3²) = √(4 +36 +9) = √49
d = 7
The distance between the two points is 7 units.
