Answer:
The value of [tex]f(2) - g(7)=-58[/tex]
Step-by-step explanation:
We have
[tex]f(x) = 3 ^ x - 7\\\\f(2) = 3 ^ 2 - 7\\\\=9-7\\\\=2\\\\g(x) = x ^ 2 + 11\\\\g(7) = 7 ^ 2 + 11\\\\=49+11\\\\=60\\\\f(2) - g(7)=2-60\\\\=-58[/tex]
The report "Digital Democracy Surveyt describes a large national survey. In a representative sample of Americans ages 14 to 18 years, 45% indicated that they usually use social media while watching
TV. Suppose that the sample size was 760.
(a) Is there convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV? Use a significance level of 0.05.
State the appropriate null and alternative hypotheses.
O Hop 0.5 versus Hp > 0.5
O Moip 0.5 versus H: = 0.5
O Hp = 0.5 versus HP < 0.5
OH:P < 0.5 versus , p > 0.5
OHOD 0.5 versus H: 0.5
Find the test statistic and P-value. (Use a table or technology. Round your test statistic to two decimal places and your p-value to four decimal places.)
ZE
P-value
Answer:
H0 : p = 0.5 versus H1: P < 0.5
Test statistic = - 2.76
Pvalue = 0.0029
Step-by-step explanation:
The hypothesis :
We are to test if less Than half of the American population within the of 14 to 18 years usually use social media while watching TV :
Hence, population proportion, p = 0.5
H0: p = 0.5
H1: P < 0.5
Sample size, n = 760
Sample proportion, Phat = 45% = 0.45
The test statistic, Z :
Z = (Phat - P) / √[(P(1 - P)) /n]
Z = (0.45 - 0.5) / √[(0.5(1 - 0.5)) /760]
Z = - 0.05 / √0.0003289
Z = - 2.7568 ; Z = - 2.76 (2 decimal places)
The Pvalue :
Using technology :
Pvalue from Zscore calculator ; Pvalue = 0.0029
Decision region :
Reject H0 if Pvalue < α
α = 0.05
Since 0.0029 < 0.05 ; we reject the Null and conclude that less than half of American within age 14 to 18 years usually use social media while watching TV.
if 1/a=1/b+1/c+1/d find c when a=2, b=3 and d=5
guys help me with this question please
Answer:
c is -30
Step-by-step explanation:
I. 1/a - 1/b - 1/d = 1/c
II. 1/2 - 1/3 - 1/5 = 1/c
III. (15-10-6)/30 = 1/c
IV. -1/30 = 1/c
V. so c.value is -30
Lorraine writes the equation shown. x²+4-15=0 She wants to describe the equation using the term relation and the term function. The equation represents a relation and a function a relation but not a function a function but not a relation neither a relation nor a function
Answer:
Neither a relation nor a function
Step-by-step explanation:
A relation in mathematics is a relationship between two or more set of values in an ordered pair, such as related x and y-values
An equation is a statement that gives declare the equality between two expressions
A function is a mapping rule that maps each element in the domain set to only one element in the range set
Therefore, the given equation in one variable, x, that asserts the equality of the expressions on the left and right hand side, is neither a relation nor a function
The ratio of the cost of a shirt to the cost of a jacket is 2:5. If the jacket cost $240 more than the shirt,
find the cost of the shirt and the cost of the jacket.
Given:
The ratio of the cost of a shirt to the cost of a jacket is 2:5.
The jacket cost $240 more than the shirt.
To find:
The cost of the shirt and the cost of the jacket.
Solution:
Let x be the cost of the shirt.
The jacket cost $240 more than the shirt. So, the cost of Jacket is (x+240).
The ratio of the cost of a shirt to the cost of a jacket is 2:5. So,
[tex]\dfrac{x}{x+240}=\dfrac{2}{5}[/tex]
[tex]5x=2(x+240)[/tex]
[tex]5x=2x+480[/tex]
Subtract 2x from both sides.
[tex]5x-2x=480[/tex]
[tex]3x=480[/tex]
Divide both sides by 3.
[tex]x=\dfrac{480}{3}[/tex]
[tex]x=160[/tex]
So, the cost of shirt is $160.
Now, the cost of jacket is:
[tex]160+240=400[/tex]
Therefore, the cost of shirt is $160 and the cost of jacket is $400.
2 plus 2 is 22???????
Answer:
NO
Step-by-step explanation:
PLS PLS help me create a new polynomial identity ASAP!!!!!
(y+x) + (ax+b)
Square the expression on the left, then add the expression on the right.
Answer:
ax + b + y^2 + 2yx + x^2
Step-by-step explanation:
(y+x)^2
= (y+x)(y+x)
= y^2 + 2yx + x^2
y^2 + 2yx + x^2 + (ax+b)
= ax + b + y^2 + 2yx + x^2
What is the average rate of change for this quadratic function for the interval
from x = 3 to X = 5?
Answer:
4
Step-by-step explanation:
average = mean of the data
(3 +5)/2
=8/2
=4
Answer:
8
Step-by-step explanation:
f(x2) -f(x1)
---------------
x2-x1
x2 = -3 and x1 = -5
Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked r hours while Tina worked t hours. Rita also worked overtime hours during the week, for which she was paid an extra $32 flat wage. Which expressions represent the total weekly wages of both Rita and Tina?
Rita and Tina's total weekly wages can be represented as
Answer:
Step-by-step explanation:
11t= tina
Rita= 11r+32
Evaluate the expression when b= -6.
b^2-6b+4
Answer:
76
Step-by-step explanation:
when b = -6
b^2 - 6b + 4
(-6)^2 - 6(-6) + 4
36 + 36 + 4 = 76
(remember, a negative times a negative always equals a positive)
... please mark as brainliest!! :)) ...
volume of a cuboid whose edges are 4 cm, 5 cm and 6 cm
Answer:
120
Step-by-step explanation:
Formula for cuboid: L × W × H
Plug in:
L × W × H
4 × 5 × 6
^ ^
20 × 6
^ ^
120
Hope this helps.
Please help me to solve these questions as soon as possible. Thank you
1) 6 is a common factor of 36 and y. Find the possible value of y.
A. 25 B. 48 C.57 D. 81
2)Which of the following shows 180 as the product of prime factors？
A. 180=2×90
B.180=2×2×45
C.180=2×2×3×15
D.180=2×2×3×3×15
Answer:
1) B, 48
2) C. 180=2x2x3x15
Step-by-step explanation:
4. a) x2 + xy2 + y 4
Answer:
x2 + xy2 + y 4=（x+y^2)^2-xy^2
Step-by-step explanation:
Answer? Which one is it? 1 2 3 or 4
It's bottom left
It says let C represent the cost of a one-year membership.
C is 80 in order to represent the day you must divide it by 10.
which gives one box for day and 10 boxes for year
Change 3/5
to a decimal fraction.
O 3.5
0.35
O 0.06
0.6
3 / 5 = 0.6
3/5 = 60/100 = 60% = 0.6
Hope this helps!
Answer: 0.6
Step-by-step explanation: if 1/5=.20 3/5=.6
You have $475 in your savings account that earns 3.25% simple interest each year. How much interest will you accumulate after 7 years?
Answer:
$613.45
Step-by-step explanation:
Multiply $475 by 3.25% of it and so on 7 times, which adds up to 613.4993293. Round that to 613.45
Rewrite the radical expression as an expression with rational exponents.
cube root of x to the power of 8
Answer:
Step-by-step explanation:
[tex]\sqrt[3]{x^8}=x^{\frac{8}{3}[/tex] The little number outside is called the index and that always serves as the denominator in the rational exponent. The power on the radicand (the radicand is whatever is inside the radical) serves as the numerator.
In this activity, you will create an equation for a function represented by a verbal description.
Vicky charged her phone’s battery to 100 percent. Then she took the phone off the charger. When her phone is off the charger, it loses 5 percent of its battery life every hour. What function models the percentage of battery life left in terms of the number of hours since Vicky took it off the charger?
What is the initial value of the function? Is it positive or negative? Explain your answer.
What is the function’s rate of change? Is it positive or negative? Explain your answer.
Answer:
1) The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.
2) The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.
Step-by-step explanation: I just did the tutorial right now i hope this helps
Answer:
part a = The number of hours since Vicky took the phone off the charger is the independent quantity, so the variable x should represent it.
part b = The percentage of battery life left in hours is the dependent quantity, so the variable y should represent it.
part c = The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.
part d = The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.
part e = The rate of change of the function, m, is -5, and the initial value of the function, b, is 100. Substitute the values of m and b in the equation y = mx + b. The equation of the function that models the phone’s remaining battery life in terms of the number of hours from the time Vicky took it off the charger is y = -5x + 100.
Step-by-step explanation:
All edmentum answers :)
how do i find the length of VN
Answer:
30
Step-by-step explanation:
let the length of VN be x
VNB ~ VMD
VN/VM = BN/DM
x/(30+x) = 12/24
24x=12(30+x)
24x=360+12x
12x=360
x = 30
Given the radius and area of the circle, calculate the angle at the centre of the circle.
Radius : 21 m
Area of the circle : 27.72 m^2
Answer:
[tex] \theta = 7 .2\degree [/tex]
Step-by-step explanation:
[tex]area = \frac{\theta}{360} \times \pi {r}^{2} \\ 27.72 = \frac{\theta}{360} \times \pi \times {21}^{2} \\ 27.72 = \frac{\theta}{360} \times \pi \times 441 \\ \frac{27.72 \times 360}{441\pi} = \theta \\ \frac{9979.2}{1385.4} = \theta \\ \\ 7 .2\degree = \theta[/tex]
HELP ITS DUE IN THE MORNING AND ITS 3:57
Answer:
A " (1,-2)
B " (4,0)
C " (6,-3)
Step-by-step explanation:
Hope it helped.
° ° °
Find the indicated angle or side. Give an exact answer.
Find the exact length of side a.
A. 1
B. √61
C. √73
D. √13
Answer:
√13
Step-by-step explanation:
To get the side a, we will use the cosine rule as shown;
a² = b²+c²-2bcCosθ
Substitute the given values
a² = 5²+(3√2)²-2(5)(3√2)Cos45
a² = 25+18-30√2*1/√2
a² = 25+18-30
a² = 13
a = √13
Hence the value of a is √13
please help me out :)
Answer:
534.0707511
Step-by-step explanation:
Answer:
534.07
Step-by-step explanation:
2 π r h +2 π r² =2•π•5•12 + 2•π•5² ≈ 534.0
I hope this will help you if not then sorry i have tried :)The graph shows a probability distribution.
What is P(X < 3)?
Answer:
6/20 = 3/10 = 30%
Step-by-step explanation:
GIÚP MÌNH CÂU NÀY VỚI ,PLS!
số nguyên dương nhỏ nhất thỏa mãn bất phương trình :giá trị tuyệt đối(-x+2)+5[tex]\geq[/tex]x-2
a.không có
b.x=1
c.x=5
d.x=6
Answer:
b
Step-by-step explanation:
(-x+2 ) +5 -(x - 2) [tex]\geq[/tex] 0
-2x+ 9[tex]\geq[/tex]0
x [tex]\leq[/tex]9/2
Whats the chance of rolling the correct number 1-6500
When every time you guess a number the number changes
So if i guess 800 every time how many guesses to get the correct number
There is an 8.125 chance you can get the correct number , If you keep getting 800 every time due to the random probability , For when you divide it as 6500 ÷ 800 = 8.125
Thanks , Please mark me brainliest
From TyrantMC
Help pleaseee I need it so bad
Answer:
Step-by-step explanation:
x²+x-12=0
D=49
X1=3
X2=-4
First is (-4;16)
Put x to the equation y=12-3=9
The other is (3;9)
W
7. The list price of an article is 25% above the selling price and cost price
is 40% below the list price, then rate of discount is:
a. 15%
b. 20%
C. 25%
d. 40%
Answer:
I think its C.
Step-by-step explanation:
this that I brain farted oooo i got it
Can someone help me with this
Answer:
Step-by-step explanation:
The formula for this, specific to our circle, is
∠RQP = [tex]\frac{1}{2}[/tex](arc SP - arc RP) and filling in:
∠RQP = [tex]\frac{1}{2}(170-86)[/tex] and
∠RQP = [tex]\frac{1}{2}(84)[/tex] so
∠RQP = 42°
What is the equation of the sinusoid?
TI
21
Зп
47
Answer:
y = sin( x/2)
Step-by-step explanation:
The amplitude is 1
The period is 4pi
y = A sin ( Bx)
where A is the amplitude and B is 2pi/ period
y = 1sin (2pi/ 4pi x)
y = sin( x/2)
Answer:
Step-by-step explanation:
c
plz answer quick!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]144\pi[/tex]cm
multiple 24 pi with 6 on a scientific calculator.
Answer:
4pi
Step-by-step explanation:
that is the procedure above
