Answer:
Given:
v = 150d
v represents company's production for the coming year
d represents the number of days
150 is the daily production
The rate of change of the function representing the number of vehicles manufactured for the coming year is CONSTANT (150) , and its graph is a STRAIGHT LINE . So, the function is a LINEAR function.
Step-by-step explanation:
A regular polygon first maps directly onto itself after rotating 120 degrees. How many sides does the polygon have?
1
2
3
4
The answer is ,The polygon has 3 sides
The area of a rectangle is 28 m', and the length of the rectangle is 1 m more than twice the width. Find the dimensions of the rectangle.
Answer:
8m ×3.5m
Step-by-step explanation:
Area of rectangle= length ×width
Let the length and width of the rectangle be L and W meters respectively.
Area of rectangle= LW
LW= 28 -----(1)
L= 2W +1 -----(2)
Subst. (2) into (1):
(2W +1)(W)= 28
Expand:
2W² +W= 28
-28 on both sides:
2W² +W -28= 0
Factorise:
(W +4)(2W -7)= 0
W +4=0 or 2W -7=0
W= -4 (reject) or W= 3.5
Substitute W= 3.5 into (2):
L= 2(3.5) +1
L= 7 +1
L= 8
∴ The dimensions of the rectangle is 8m ×3.5m.
Suppose x is a normally distributed random variable with a mean of 12 and a standard deviation of 3. The probability that x equals 19.62 is _____.
Answer:
The probability that x equals 19.62 is 0
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In the normal probability distribution, the probability of an exact value, that is, P(X = x) is 0. Thus, the probability that x equals 19.62 is 0
Simplify the expression:
w+3w
Answer:
4w
Step-by-step explanation:
1w+3w=4w
Answer:
w+ 3w = 4 w. helpful answer
What is the mode for the set of data shown below?
14, 28, 33, 97, 53, 81, 42, 28, 32, 35, 75, 38, 69, 95, 49, 90
A. 14
B. 28
C. 95
D. 32
Answer:
28
Step-by-step explanation:
4, 28, 33, 97, 53, 81, 42, 28, 32, 35, 75, 38, 69, 95, 49, 90
Mode is the number that appears most often
4, 28, 28, 32, 33,35, 38, 42, 49,53,69, 75, 81, 90, 95, 97
28 appears twice
A density curve for all the possible weights between 0 pounds and 10 pounds is in the shape of a rectangle. What is the height of the rectangle in this density curve? O A. 0.01 OB. 0.001 C. 0.1 O D. 0.0001 SUBMIT
Answer:
0.1
Step-by-step explanation:
For a density curve, total area = 1
Probability lies in between 0 and 1
The Area of rectangle :
Area = Length * width
Length = 0 - 10 = 10
Area = 1
Hence,
Area = Length * width
1 = 10 * w
1 = 10w
w = 1 /10
w = 0.1
(8+3)(-1) Distributive Property
Answer:
-11
Step-by-step explanation:
(8+3)(-1) Add 8 + 3
(11)(-1) Multiply
-11 Final Answer
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{(8 + 3)(-1)}\\\\\large\textsf{(8 + 3) = \bf 11}\\\\\large\textsf{11(-1)}\\\\\large\textsf{= \bf -11}\\\\\boxed{\boxed{\large\textsf{\large\textsf{Answer: \huge \bf -11}}}}\huge\checkmark\\\\\\\\\\\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\\\\\\\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]
Brainliest to who gets it right no links
A. t(x)=450-0.06x
hope this helps
Jane needs to buy mulch to cover a circular garden
whose dimensions are shown in the figure. The cost of
the mulch is $32.52 per square yard. Find the amount
of mulch she will need to the nearest square yard and
find the cost of the mulch.
Answer:
$3089.4
Step-by-step explanation:
A circle is a locus of a point such that its distance from a point known as the center is always constant.
The area of a circle is given by the formula:
Area = πr²; where r is the radius of the circle.
From the image attached, we can see that the garden is circular with a radius of 5.5 yard. Hence:
Amount of mulch needed to cover garden = area of garden = πr² = π(5.5)² = 95 yd²
Since mulch cost $32.52 per square yard, hence:
Cost of mulch needed = $32.52 per yd² * 95 yd² = $3089.4
is y= 2^x + 3x - 4 a quadratic function
Answer:
No
Step-by-step explanation:
Due to the absence of the squared coefficient, we can automatically strike this as not a quadratic.
And, judging by the terms of the function, this is a trinomial.
4x2-36x+80=0
Soma e Produto
Determine the following information about each value in a list of positive integers. a. Is the value a multiple of 7, 11, or 13? b. Is the sum of the digits odd or even? c. Is the value a prime number?
Find the value of x if the angles below are vertical.
Answer:
x = 19
Step-by-step explanation:
Since the angles are vertical, that means these angles are equal to each other:
7x + 34 = 10x - 23
7x - 10x = -23 - 34
-3x = -57
x = 19
Answer:
Step-by-step explanation:
7x+34=10x-23 (being vertically opposite angles)
34+23=10x-7x
57=3x
57/3=x
19=x
tipler stock dropped $5 monday, rosary $3 Tuesday, and rose $7 Wednesday. what was the net change in price of the stock
Answer:
drooped $1
Step-by-step explanation:
first,dropped $5=(-$5)
second,rosary $3=(-$3)
third,rose $7=(+$7)
solution:
(-$5)+(-$3)+(+$7)
=-$5-$3+$7
=-$8+$7
=-$1
the net change in price of the stock was drooped $1 .
The required net change in the price of the stock is -$1.
Given that,
Tipler stock dropped $5 Monday, rosary $3 Tuesday, and rose $7 Wednesday. To determine the net change in the price of the stock
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
On Monday price dropped by $5 = -$5
On Tuesday price dropped by -$3 = -$3
On Wednesday price rose by $7 = +$7
Net = -5 -3 +7
Net = -$1
Thus, the required net change in the price of the stock is -$1.
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(4-2)^2x5+9
Answer+step by step
Answer:
4-2 = 2
2x5+9 = 19
2^19 = 2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2 = 524288
Answer:
29
Step-by-step explanation:
Use PEMDAS
P- Parenthesis
E- Exponents
M- Multiply
D- Divide
A- Add
S- Subtract
(4-2)^2×5+9 first you do parenthesis which is (4-2)=2
(2)^2×5+9 next the exponents (2)^2=4
4×5+9 now the multiplication, 4×5=20
20+9 And now finish it off with the addition
So the answer ends up being 29.
A local police chief claims that about 51% of all drug related arrests are ever prosecuted. A sample of 900 arrests shows that 47% of the arrests were prosecuted. Is there sufficient evidence at the 0.01 level to refute the chief's claim? State the null and alternative hypotheses for the above scenario.
Answer:
The null hypothesis is [tex]H_0: p = 0.51[/tex].
The alternate hypothesis is [tex]H_1: p \neq 0.51[/tex].
The p-value of the test is 0.0164 > 0.01, which means that there is not sufficient evidence at the 0.01 level to refute the chief's claim.
Step-by-step explanation:
A local police chief claims that about 51% of all drug related arrests are ever prosecuted
At the null hypothesis, we test if the proportion is of 51%, that is:
[tex]H_0: p = 0.51[/tex]
At the alternate hypothesis, we test if the proportion is different from 51%, that is:
[tex]H_1: p \neq 0.51[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.51 is tested at the null hypothesis:
This means that [tex]\mu = 0.51, \sigma = \sqrt{0.51*0.49}[/tex]
A sample of 900 arrests shows that 47% of the arrests were prosecuted.
This means that [tex]n = 900, X = 0.47[/tex]
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.47 - 0.51}{\frac{\sqrt{0.51*0.49}}{\sqrt{900}}}[/tex]
[tex]z = -2.4[/tex]
P-value of the test:
Probability that the sample proportion differs from 0.51 by at least 0.04, which is P(|z|>2.4), which is 2 multiplied by the p-value of Z = -2.4.
Looking at the z-table, the Z = -2.4 has a p-value of 0.0082.
2*0.0082 = 0.0164.
The p-value of the test is 0.0164 > 0.01, which means that there is not sufficient evidence at the 0.01 level to refute the chief's claim.
how do u find the percent of 36 and 40? Thanks!
Solve the inequality and write the solution set using both set-builder notation and interval notation. -3a-15≤-2a+6
Answer:
Set builder notation: {a | a ≥ -21}
Interval notation: [-21, ∞)
Step-by-step explanation:
A set represents a collection of things, objects, or numbers. A set builder notation is in the form y = {x | x is an odd number between 8 and 10}, which means y contains all the odd numbers between 8 and 10.
Interval notation is a way to define a set of numbers between a lower limit and an upper limit using end-point values. for example (8, 20) means numbers between 8 and 20.
Given -3a-15≤-2a+6; solving :
-3a - 15 ≤ -2a + 6
-3a + 2a ≤ 6 + 15
-a ≤ 21
dividing through by -1:
a ≥ -21
The solution is:
Set builder notation: {a | a ≥ -21}
Interval notation: [-21, ∞)
solve the following equations 2p + 3p + 8 - 4 = 54
» Choose ALL the lines of symmetry for the shape.
Answer:
the first one , one below it and the one beside the one below it
Step-by-step explanation:
Answer:
sorry I don't Know
You roll two fair dice. Find the probability that the first die is a 6 given that the minimum of the two numbers is a 2.
Answer:
1/9 = 0.1111 = 11.11% probability that the first die is a 6 given that the minimum of the two numbers is a 2.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[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 question:
Event A: Minimum of the two numbers is 2.
Event B: First die in a 6.
Fair dice:
Each throw has 6 equally likely outcomes. Thus, in total, there are [tex]6^2 = 36[/tex] possible outcomes.
Minimum of the two numbers is a 2.
(2,2), (2,3), (3,2), (2,4), (4,2), (2,5), (5,2), (2,6), (6,2).
9 total outcomes in which the minumum of the two numbers is a two, which means that:
[tex]P(A) = \frac{9}{36}[/tex]
Minimum of the two numbers is a 2, and the first die is a 6.
Only one possible outcome, (6,2). So
[tex]P(A \cap B) = \frac{1}{36}[/tex]
Probability that the first die is a 6 given that the minimum of the two numbers is a 2.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{1}{36}}{\frac{9}{36}} = \frac{1}{9} 0.1111[/tex]
1/9 = 0.1111 = 11.11% probability that the first die is a 6 given that the minimum of the two numbers is a 2.
A rectangle’s length is two feet less than three times it’s width. If it’s width is 7 feet, then which of the following is its area?
1. 19 square feet
2. 57 square feet
3. 114 square feet
4. 133 square feet
The cost of 5 diesels is $1025. Calculate the cost of 17diesels
4(12+3) distributive property
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{4(12 + 3)}[/tex]
[tex]\large\textsf{= 4(12) + 4(3)}[/tex]
[tex]\large\textsf{4(12) = \bf 48}[/tex]
[tex]\large\textsf{4(3) = \bf 12}[/tex]
[tex]\large\textsf{= 48 + 12}[/tex]
[tex]\large\textsf{= \bf 60}[/tex]
[tex]\boxed{\large\textsf{Answer: \huge 60}}\large\checkmark[/tex]
[tex]\large\text{OR} \downarrow[/tex]
[tex]\large\textsf{4(12 + 3)}[/tex]
[tex]\large\textsf{12 + 3 = \bf 15}[/tex]
[tex]\large\textsf{= 4(15)}[/tex]
[tex]\large\textsf{= \bf 60}[/tex]
[tex]\boxed{\large\textsf{Answer: \huge 60}}\large\checkmark[/tex]
[tex]\boxed{\boxed{\large\textsf{OVERALL \underline{ANSWER}: \huge \bf 60}}}\huge\checkmark[/tex]
[tex]\huge\checkmark\boxed{\boxed{\large\textsf{Or you can say: \huge \bf 48 + 12}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
[tex]4(12 + 3) \\ = 4 \times 12 + 4 \times 3 \\ = 48 + 12 \\ = 60[/tex]
=> Property used = distributive property.
The expression 0.75(1.06p) represents the total amount Jaxon paid for a jacket
originally priced p dollars. Which changes to the original price could have resulted in
this expression?
Answer:
0.75 could be a 25% discount. 1.06 could be a sales tax.
Step-by-step explanation:
If p is the original price, then 1.06p could be the amount after a 6% tax is include. Then multiplying by 0.75 could indicate a 25% discount (if you don't pay 25% = 0.25, then you do pay 75% = 0.75).
In case you're wondering about discounting first then charging tax, the result is the same because the multiplication can be done in either order.
0.75(1.06p) = 1.06(0.75p)
Please help i’ll rate brainliest too
Answer:
- 4
Step-by-step explanation:
h(x) = sin x
f(x) = | 3x - 4 |
g(x) = 2x² - 6
h( [tex]\frac{\pi }{2}[/tex] ) = sin ( [tex]\frac{\pi }{2}[/tex] ) = 1
f ( 1 ) = | 3 × 1 - 4 | = 1
g ( 1 ) = 2( 1² ) - 6 = - 4
g ( f ( h ( [tex]\frac{\pi }{2}[/tex] ) ) ) = - 4
In the triangle below, which of the following is equivalent to the tangent of
62°?
Answer:
tan62= 7/25
Step-by-step explanation:
tan = opposite/adjacent
Option A is the correct answer.
We need to find, from the given option which is equivalent to the tangent of 62°.
What is the ratio of trigonometric function tangent?The ratio of trigonometric function tangent is tanθ=Opposit/Adjacent.
Now, tan62°=24/7.
Therefore, option A is the correct answer.
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PLEASE HELPPP
Which one is equivalent??
Answer:
the answer is A AND WE LOVE BILLIE
Step-by-step explanation:
How many liters of a 20% alcohol solution must be mixed with 50 liters of a 70% alcohol solution to get a 40% alcohol solution?
Solve the inequality:
4 +5t < 19
Answer:
t < 3 is the answer
Step-by-step explanation:
source: https://www.tiger-algebra.com/drill/4_5t%3C19/
^ (it has an explanation too)