Answer:
B. There is sufficient evidence to support the claim that less than 25% of the population believes that there is no solid evidence to support global warming.
Step-by-step explanation:
The following information has been availed;
n = 1501
sample proportion = 20% = 0.2
Level of significance = 0.01 = 1%
We are required to test the claim that less than 25% of the population believes that there is no solid evidence of global warming. In mathematical notation this claim can be written as;
p < 0.25, where p is the population proportion. From this information, we can formulate the following set of hypotheses;
H0: p ≥ 0.25
Ha: p < 0.25 (claim). This will be a left-tailed test.
The test statistic for hypothesis on population proportions is z, defined by the formula;
[tex]z=\frac{sampleproportion-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]
where p is the population proportion under the null hypothesis, that is p = 0.25.
Using the given information , the test statistic becomes;
[tex]z=\frac{0.2-0.25}{\sqrt{\frac{0.25(1-0.25)}{1501} }}=-4.4736[/tex]
The next step is to compute the p-value in our left-tailed test;
p-value = P(Z < -4.4736) = 0
Our p-value is less than the level of significance and thus we reject the null hypothesis in favor of the alternative hypothesis which is also our claim. The final conclusion is thus;
There is sufficient evidence to support the claim that less than 25% of the population believes that there is no solid evidence to support global warming.
I have been on this question for so long if anyone can help me I would greatly appreciate it. Thank you
Answer:
Step-by-step explanation:
let x be the number
2(x+8)=-4x+4
2x+16=-4x+4
6x=-12
x=-2
Answer:
x=-2
Step-by-step explanation:
2(x+8)=-4x+4
2x+16=-4x+4
6x=-12
x=-2
What is the probability of flipping a coin 8 times and getting heads 3 times? Round your answer to the nearest tenth of a percent.
A. 10.9%
B. 27.3%
C. 21.9%
D. 3.1%
Answer:
21.9%
Step-by-step explanation:
This involves binomial probability.
n = # of tries: 8
x = # of successes (heads): 3
Use your calculator's probability distribution function binompdf.
Type in binompdf(n, p, x), which in this case would be:
bionompdf(8, 0.5, 3) = 0.219, or 21.9% (Answer C)
The probability of flipping a coin 8 times and getting heads 3 times is 21.9%. Therefore, option C is correct
Explanation:To find the probability of flipping a coin 8 times and getting heads 3 times, we need to use the binomial probability formula. The formula is P(x) = (nCx) * p^x * (1-p)^(n-x), where n is the number of trials, x is the number of successful outcomes, p is the probability of success on a single trial, and nCx is the combination notation.
In this case, n = 8, x = 3, and p = 0.5 (since the probability of getting heads on a fair coin is 0.5). Plugging these values into the formula, we get:
P(3) = (8C3) * 0.5^3 * 0.5^(8-3)
= (8!/3!(8-3)!) * 0.5^3 * 0.5^5
= 56 * 0.5^3 * 0.5^5
= 56 * 0.125 * 0.03125
= 0.21875
= 21.9%
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Evaluate the determinant by using diaganals
Answer:
C. 26
Step-by-step explanation:
The question is on finding determinant of 3×3 matrix
General formulae is given by
if we have matrix (a b c)
(d e f)
(g h i ) then the determinant will be given by
a× D( e f) - b × D (d f) + c× D ( d e)
(h i) (g i) (g h)
where D is the determinant
Evaluate
(a b c) (-4 3 3)
(d e f) = (3 0 2) = -4 ×D(0 2) - 3×D (3 2) + 3×D (3 0)
(g h i ) (3 1 1) (1 1) (3 1) (3 1)
= -4 × {(I×0)-(1×2)} -3 {(3×1)-(3×2)} + 3 { (1×3)-(3×0)}
= -4 ×{-2} - 3×{-3} +3× {3}
=8+9+9= 26
8x+10-2x=4(x-5) solve for x
Answer:
[tex]x=-15[/tex]
Step-by-step explanation:
[tex]8x+10-2x=4(x-5) \\ \\ 6x+10=4x-20 \\ \\ 2x=-30 \\ \\ x=-15[/tex]
x = -15
First, distribute the 4 to the x - 5 to get 8x + 10 - 2x = 4x - 20.
Now, subtract 4x and 10 from each side to get 4x - 2x = -30
Simplify the subtraction to get 2x = -30.
Divide both sides by 2 to get a final answer of x = -15.
Which of the following is equal to the rational expression when x does not equal -3 x^2-9/x+3
Answer:
x - 3
Step-by-step explanation:
Given
[tex]\frac{x^2-9}{x+3}[/tex]
Note that x² - 9 is a difference of squares and factors as
x² - 9 = (x + 3)(x - 3), thus
[tex]\frac{(x+3)(x-3)}{x+3}[/tex]
Cancel the x+ 3 factor on the numerator/ denominator leaving
x - 3 ← in simplified form
The simplified form of the given rational expression x²-9/x+3, provided x is not equal to -3, is x-3.
Explanation:The given rational expression is x²-9/x+3. To simplify this expression, we can recognize that the numerator (x^2-9) is a difference of squares. In fact, we can rewrite the expression as (x+3)(x-3)/(x+3). As long as x doesn't equal -3 (to prevent division by zero), we can simplify the expression by canceling out the common factor of 'x+3' in both the numerator and denominator. Therefore, the simplified form of the rational expression is x-3 when x does not equal -3.
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Write an equation in slope intercept form y-intercept 4 and slope is -3/5
[tex]\bf y=-\cfrac{3}{5}x+4\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
Can you please help me ?
Answer: in explanation
Step-by-step explanation: 1.) Plug your input in for x and solve for your output, y. You are given the input (far left column). As for graphing, plot -5 on the y-axis (vertical one) and move down one, right one until you reach bottom. Then move up one, left one until you reach the top.
2.)Plug your input in for x and solve for your output, y. You are given the input (far left column). As for graphing, plot -1 on y-axis (vertical one) and move up two, right one and down two, right one until you reach either end of the graph.
Connect both with a solid line and put arrows on either end.
The product of two numbers is −72. One of the factors is −9, what is the other factor?
Answer:
8.
Step-by-step explanation:
-9 x x = -72.x = 8.In all of the steps to solve this specific question, x is a variable to represent the other factor, that we are trying to find out the answer to, and our equation that we need to set up for this problem, is -9 times x equals -72, because -9 multiplied by the other factor that we are trying to solve for, which is x in this case, should equal -72. So then, to completely finish simplifying this equation, we need to divide -9 from both sides, so we can get our variable x, that we are trying to get the answer for, by itself. Then finally, you get x equal to 8, as our final, simplified answer. These are all of the steps to completely get the correct answer to your question.
Hope this helps!!!
Kyle.
A geometric sequence is defined by the general term tn = 75(5n), where n ∈N and n ≥ 1. What is the recursive formula of the sequence?
Answer:
[tex]\large\boxed{\left\{\begin{array}{ccc}t_1=375\\t_{n}=5t_{n-1}\end{array}\right}[/tex]
Step-by-step explanation:
[tex]t_n=75(5^n)\\\\t_{n+1}=75(5^{n+1})\\\\\text{The common ratio:}\ r=\dfrac{t_{n+1}}{t_n}\\\\\text{Substitute:}\\\\r=\dfrac{75(5^{n+1})}{75(5^n)}\qquad\text{cancel 75 and use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\r=5^{n+1-n}=5^1=5\\\\\text{Calculate}\ t_1.\ \text{Put}\ n=1\ \text{to}\ t_n:\\\\t_1=75(5^1)=75(5)=375\\\\\text{The recursive formula of a geometric sequence:}\\\\t_1\\t_n=(t_{n-1})(r)[/tex]
Answer:
t1=375, tn = 5tn-1, where n EN and >1
Step-by-step explanation:
USA test prep said so
There are 24 muffins in a bakery.If 3/8 of the muffins are blueberry,how many muffins are blueberry?
Answer:
There are 9 blueberry muffins.
Step-by-step explanation:
In order to find this amount, we need to multiply the fraction that represents blueberry muffins by the total number of muffins.
24 * 3/8 = 9
Answer:
9
Step-by-step explanation:
24/8=3
3x3=9, so there are 9 muffins
Total/denominator, then that number times the numerator.
What is the solution of Sqrt -4x = 100?
x = –2500
x = –50
x = –2.5
no solution
X = -2500
This is because:
-2500 * -4 = 10,000Sqrt of 10,000 is 100For this case we must find the value of the variable "x" of the following expression:
[tex]\sqrt {-4x} = 100[/tex]
Now, we square both sides of the equation:
[tex]-4x = 100 ^ 2\\-4x = 10000[/tex]
We divide between -4 on both sides of the equation:
[tex]x = \frac {10000} {- 4}\\x = -2500[/tex]
ANswer:
[tex]x = -2500[/tex]
Option A
A man walks 10 miles in x hours. How far does he walk in one hour?
Which expression represents this?
10+x miles
10x miles
10/x miles
Answer: It can't be 10 + x, it can't be 10x, so it will be 10/x
please mark as brainliest
Step-by-step explanation:
Answer:
[tex]\frac{10}{x} \ miles[/tex]
Step-by-step explanation:
Givens
A man walks 10 miles in x hours.So, how far does he walk in one hour?
Basically, the question is asking the constant rate of change of the person's position. In other words, it's asking about the man's velocity: how many miles per hour.
The expression that represents this situation is
[tex]\frac{10}{x} \ miles[/tex]
Because, the problem refers to the ratio of change, which is the quotient between the distance traveled and the time that took to travel that distance.
What is the slope of a line with the given coordinates (6,-4) and (-3,-7)
Answer:
m= 1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
-4-(-7) / 6-(-3)
3/ 9
1/3
What is the ratio of the perimeter of the smaller triangle to the perimeter of the larger triangle?
Answer:
Option C. [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
and
The scale factor is equal to the ratio of its corresponding sides
Let
z-----> the scale factor
[tex]z=\frac{15}{18}[/tex]
simplify
[tex]z=\frac{5}{6}[/tex]
Which equation has no solution?
4(x + 3) + 2x = 6(x + 2)
5+2(3 + 2x) = x + 3(x + 1)
O 5(x + 3) + x = 4(x + 3) + 3
O4 + 6(2 + x) = 2(3x + 8)
Answer:
The Answer would be B.
Step-by-step explanation:
Rearrange
5+2*(3+2*x)-(x+3*(x+1))=0
Step 2:
(5 + 2 • (2x + 3)) - (4x + 3) = 0
Step 3 :
8 = 0
Step 4 :
Equations which are never true :
8 = 0
This equation has no solution.
The normal price of a jacket is £54 in a sale, the price is reduced by 30% what is the sale price
Answer:
£37.80
Step-by-step explanation:
To find the sale price of a jacket during a 30% off sale, first subtract 0.30 from 1.00, obtaining 0.70, and then multiply the regular price (£54) by 0.70:
0.70(£54) = £37.80
The sale price of the jacket after a 30% discount is applied to the original price of £54 is £37.80.
Explanation:The student's question is about calculating the sale price of a jacket after a discount of 30% is applied to the normal price of £54. This is a typical percentage problem that can be solved using the following steps:
Calculate the discount amount by multiplying the original price by the discount rate.Subtract the discount amount from the original price to find the sale price.To calculate the discount amount: 30% of £54 = 0.30 × £54 = £16.20.
Then, subtract the discount amount from the original price: £54 - £16.20 = £37.80.
Therefore, the sale price of the jacket is £37.80.
I need help with Algebra 2!
For sin, cos, and tan, let's use an abbreviation.
SOH-CAH-TOA
[tex]sin=\frac{opposite}{hypotenuse}[/tex]
[tex]cos=\frac{adjacent}{hypotenuse}[/tex]
[tex]tan=\frac{opposite}{adjacent}[/tex]
But before that, we should solve for the missing side.
Since this triangle is a right triangle, we can use the Pythagorean Theorem.
[tex]a^2+b^2=c^2 \\ \\ 6^2+8^2=c^2 \\ \\ c^2=36+64 \\ \\ c^2=100 \\ \\ c=10[/tex]
So the hypotenuse is 10.
Let's plug in.
sin θ = 6/10 --> 3/5
cos θ = 8/10 --> 4/5
tan θ = 6/8 --> 3/4
Now for the cosectant, secant, and cotangent, we'll just use the definitions.
Cosectant is hypotenuse over opposite.
Secant is hypotenuse over adjacent.
Cotangent is adjacent over opposite.
So they are basically the inverses.
csc θ = 10/6 --> 5/3
sec θ = 10/8 --> 5/4
cot θ = 8/6 --> 4/3
Grade 4
96. Shelly uses a scoop to fill a container with
flour. The scoop holds cup of flour.
If Shelly uses 12 scoops of flour to fill the
container, how many cups of flour does she
use?
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
The slope intercept form of the equation of a line that passes through point (-2, -13) is y = 5x - 3. What is the point slope form of the equation for this line?
A. y - 13 = 5(x - 2)
B. y + 13 = 5(x + 2)
C. y - 2 = 5(x - 13)
D. y + 2 = 5(x + 13)
Answer:
B. y+13=5(x+2)
Step-by-step explanation:
I personally do y=_+_(x-_) when solving these equations
Plug in -2 the x coordinate for (x- (-2) to be (x+3)
Plug in -13 for the y intercept.
5 from 5x is the slope.
Thus y=-13+5(x+3)
Then just move 13 to the other side
Jason will use a 3 1/3 gallon pitcher to fill an empty 3/4 gallon water jug. How much water will he need in order to completely fill the water jug?
Answer:
Option B) Between 2 & 3 full pitchers
Step-by-step explanation:
Note In this problem the volume of the pitcher is 1/3 gallon instead of 3 1/3 gallon
The options of the questions are
A) Between 1 & 2 full pitchers
B) Between 2 & 3 full pitchers
C) About 1/2 of a full pitcher
D) About 1/4 of a full pitcher
so
we know that
To find the number of water pitchers Jason will need to fill the water jug, we will divide the amount of water needed to fill the jug by amount of water in the pitcher
[tex](3/4)/(1/3)=9/4\ water\ pitchers[/tex]
Convert to mixed number
[tex]9/4\ water\ pitchers=(8/4)+(1/4)=2(1/4)\ water\ pitchers[/tex]
therefore
Is Between 2 & 3 full pitchers
Despite having a 3 1/3 gallon pitcher, Jason will only need 3/4 gallon of water to fill his 3/4 gallon jug. The size of the pitcher doesn't matter, only the size of the jug.
Explanation:Considering that Jason is seeking to fill a 3/4 gallon water jug with a 3 1/3 gallon pitcher, it is evident that the entire capacity of the pitcher will not be required. To determine precisely the volume of water required, we examine the jug's capacity. Given that the jug has a maximum volume of 3/4 gallon, that is the exact volume of water Jason will require to fill it. Regardless of the pitcher's volume, it's the jug's capacity, which is 3/4 gallon, that establishes the quantity of water needed. Consequently, 3/4 gallon is the volume of water he needs to fill the jug.
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Find the volume of a box that is 2 in x 4 in x 3 in.
A) 2 ft2
B) 2 ft3
C) 24 in2
D) 24 in3
Answer:
D) 24 in3
Step-by-step explanation:
Volume of a box is length times width times height
2 in x 4 in x 3 in = 24
and its inches cubed because inches is multiplied 3 times
Answer:
Step-by-step explanation: it’s C
2x4x3
8x3
24 2in
11.
ALGEBRA Zakama Hussein earned $77.00 in simple interest in 18 months ( 1.5 years) at an annual interest rate of 7%. How much money did she invest?
$1466.67
$1650.00
$85.22
$733.33
Answer:
$733.33
Step-by-step explanation:
The question is on finding the principal value
Formulae for simple interest
S.I= P×R/100×T where P is the invested amount of money, R is interest rate and T is time in years
Given that;
Simple interest=$77 , R=7% and T=1.5 years then
S.I= P×R/100×T...................substituting the values given
77=P×7/100 × 1.5
77=P×0.105
77/0.105 =P
$733.33=P
Help please...............
Answer:
a=1/16 ft2
Step-by-step explanation:
1/4x1/4=1/16
Answer:
1/16
Hope This Helps! Have A Nice Day!!
If $1,120 is invested at an interest rate of 15% per year and is compounded contonuously, how much will the investment be worth in 7 years? Use the continuous compound interest formula: A=Pr^rt.
Answer:
[tex]\$3,200.57[/tex]
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
[tex]A=P(e)^{rt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
[tex]t=7\ years\\ P=\$1,120\\ r=0.15[/tex]
substitute in the formula above
[tex]A=\$1,120(e)^{0.15*7}=\$3,200.57[/tex]
Answer:3,200.57
Step-by-step explanation:
Find the following bases.
a. 8% of ? = 20
b. 75% of ? = 30
c. 20% of ? = 45
d. 150% of ? = 36
It is pretty easy.
[tex]20 = x \times 0.08 \\ x = 20 \div 0.08 = 250[/tex]
[tex]30 = x \times 0.75 \\ x = 30 \div 0.75 = 40[/tex]
[tex]45 = x \times 0.20 \\ x = 45 \div 0.20 = 225[/tex]
[tex]36 = x \times 1.50 \\ x = 36 \div 1.5 = 24[/tex]
Answer:
a. 250
b. 40
c. 225
d. 24
Step-by-step explanation:
What is the quadratic function f(x)=x^2+6x-2 In vertex form?
A:f(x)=(x-3)^2+7
B:f(x)=(x+3)^2+7
C:f(x)=(x-3)^2-11
D:f(x)=(x+3)^2-11
Answer: Option D
[tex]f(x)=(x+3)^2 -k[/tex]
Step-by-step explanation:
For a quadratic function of the form
[tex]ax ^ 2 + bx + c[/tex]
The x coordinate of the vertice is:
[tex]x =-\frac{b}{2a}[/tex]
In this case the function is:
[tex]f(x)=x^2+6x-2\\\\[/tex]
So
[tex]a=1\\b=6\\c=-2[/tex]
The x coordinate of the vertice is:
[tex]x=-\frac{6}{2*1}\\\\x=-3[/tex]
The y coordinate of the vertice is:
[tex]f(-3) = (-3)^2 +6(-3) -2\\\\f(-3)=-11[/tex]
The vertice is: (-3, -11)
The form e vertice for a quadratic equation is:
[tex]f(x)=(x-h)^2 +k[/tex]
Where
the x coordinate of the vertice is h and the y coordinate of the vertice is k.
Then h=-3 and k =-11
Finally the equation [tex]f(x)=x^2+6x-2\\\\[/tex] in vertex form is:
[tex]f(x)=(x+3)^2 -k[/tex]
Answer:
The correct answer option is D. f(x) = (x + 3)² - 11.
Step-by-step explanation:
We know that the standard form of a quadratic function is given by:
y = ax² + bx + c
The vertex form of a parabola is given by
y = a(x - h)² + k
where (h, k) is the vertex of the parabola.
h = -b / 2a and k = f(h)
In the given equation f(x) = x² + 6x - 2
a = 1, b = 6 and c = -2
Finding h:
h = -6 / (2 × 1)
h = -6/2
h = -3
Finding k:
k = 1(-3)² + 6(-3) + 3
k = 9 - 18 - 2
k = -11
Therefore, the given quadratic function in vertex form: f(x) = (x + 3)² - 11
What is the vertex of the function f(x) = x2 + 12x?
0 (6-36)
(6.0)
(6.0)
(6 -36)
Mark this and retum
Save and Exit
SUR
Answer:
(-6, -36)
Step-by-step explanation:
The vertex [tex](h,k)[/tex] of a function of the form [tex]f(x)=ax^2+bx+c[/tex] is given by the formula:
[tex]h=\frac{-b}{2a}[/tex]
[tex]k=f(h)[/tex] in other words, we find h and then evaluate function at h to find k.
We know from our function that [tex]a=1[/tex], [tex]b=12[/tex].
Replacing values
[tex]h=\frac{-12}{2(1)}[/tex]
[tex]h=-\frac{12}{2}[/tex]
[tex]h=-6[/tex]
Now we can evaluate our function at -6 to find k:
[tex]k=f(h)=f(-6)[/tex]
[tex]k=(-6)^2+12(-6)[/tex]
[tex]k=36-72[/tex]
[tex]k=-36[/tex]
We can conclude that the vertex (h, k) of our function is (-6, -36)
Answer:
(-6,-36)
Step-by-step explanation:
The given function is
[tex]f(x)=x^2+12x[/tex]
We complete the square to write this function in the vertex form.
Add and subtract the square of half the coefficient of x.
[tex]f(x)=x^2+12x+6^2-6^2[/tex]
[tex]f(x)=x^2+12x+36-36[/tex]
The first three terms is now a perfect square trionomial
[tex]f(x)=(x+6)^2-36[/tex]
Or
[tex]f(x)=(x--6)^2-36[/tex]
The function is now in the form:
[tex]f(x)=a(x-h)^2+k[/tex]
where h=-6 and k=-36
The vertex is therefore (h,k)=(-6,-36)
Which rectangle will have the largest area?
l = 5 cm, w = 4 cm
l = 4 cm, w = 6 cm
l = 4 cm, w = 7 cm
l = 5 cm, w = 5 cm
Answer: l = 4 cm, w = 7 cm
Step-by-step explanation:
i think that this is it
Answer:
it’s the third one
l = 4 w = 7
Step-by-step explanation:
to find the area you multiply length by width
4x7 = 28
OPTIONS OVER HERE AND FOR A BETTER VIEW OF THE QUESTION LOOK AT THE PICTURE THANK YOU AND PLEASE HELP!!!
Select the correct answer from each drop-down menu.
QUESTION
FOR THIS EXPRESSION, A = ((( 15 OR 4 OR 7 ))) . B = (( 7 OR 4 OR 15 ))) , C = ((( 4 OR 15 OR 7)))
Answer:
a = 15
b = 7
c = 4
Step-by-step explanation:
Given in the question an expression [tex]\sqrt[4]{15}^{7}[/tex]
This expression can be written as [tex]15^{\frac{7}{4} }[/tex]
As we know that roots are most often written using a radical sign, like this, [tex]\sqrt[n]{x}[/tex] But there is another way to represent the taking of a root.
You can use rational exponents instead of a radical. A rational exponent is an exponent that is a fraction. For example, [tex]\sqrt[n]{x}[/tex] can be written as [tex]x^{\frac{1}{n} }[/tex]
Secondly two powers having same base can be multiply
[tex]x^{n}(^{m})=x^{nm}[/tex]
Laverne already knew 2 appetizer recipes before starting culinary school, and she will learn 3 new
appetizer recipes during each week of school.
After 2 weeks of culinary school, how many total
appetizer recipes will Laverne know?
Answer:
the answer is 8
Step-by-step explanation:
You would do use the equation (3×2)+2=8
Hope this helps :)
Answer:
8 appetizer recipes.
Step-by-step explanation:
Given,
The number of appetizer recipes Laverne already knew = 2,
Also, she learns 3 new appetizer recipes during each week of school.
So, the additional number of recipes she learn in 2 weeks = 2 × 3 = 6,
Hence, the total appetizer recipes she would know = The recipes she already knew + the additional number recipe she learnt in 2 weeks
= 2 + 6
= 8