Answer:
25,26,27, and 28
Step-by-step explanation:
Write consecutive integers as x,x+1,x+2,x+3,x+4, and so forth.
x+x+1+x+2+x+3
---------------------- = 53
2
1) Combine alike terms:
4x+6
------- = 53
2
2) Multiply both sides by 2:
4x+6=106
3) Subtract 6 from both sides:
4x=100
4) Divide both sides by 4:
x=25
5) Plug in 25 for x for all 4 integers:
25
26
27
28
Answer:
The P-value is 0.0234.
Step-by-step explanation:
We are given that a statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20.
Let = population mean.
So, Null Hypothesis, : = 100 {means that the population mean is equal to 100}
Alternate Hypothesis, : > 100 {means that the population mean is more than 100}
The test statistics that will be used here is One-sample t-test statistics because we're yet to know about the population standard deviation;
T.S. = ~
where, = sample mean = 98
s = sample standard deviation = 20
n = sample size = 400
So, the test statistics = ~
= -2
The value of t-test statistics is -2.
Now, the P-value of the test statistics is given by;
P( < -2) = 0.0234 {using the t-table}
In this problem you would set these two equations equal to each other.
$8+ $1.50x = $10+ $1x
After this you would simplify the equation to isolate x (being the number of toppings you put on the pizzas)
$8+ 1.50x =$10+ 1x
-8 -8
----------------------------
$1.50x = $2 + $1x
-1x -1x
---------------------------
$.50x/.50 = $2/.50
_______________
x= 4 toppings and the pizzas would equal $14 total
The equation which represents the given graph g(x) is 2ˣ-1.
<h3>
What is Equation?</h3>
Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
Here, given graph passes through origin.
Put x = 0 in all the given equation and verify which equations gives result as zero.
Put x = 0 in option A
g(0) = 2⁰⁺¹ = 2 ≠ 0
in option B
g(0) = 2⁰-1 = 1 - 1 = 0
Thus, option B g(x) = 2ˣ-1 is the correct expression for the given graph.
Learn more about Equations from:
brainly.com/question/10413253
#SPJ1
