Answer:
if x: 10 y: 202 then...
x: 30 y: 374.858 burned calories.
therefore, 375 calories.
About 375 calories burned for an individual who spent 30 minutes weight lifting
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
Given,
ý= 8.6067x +116.6567 the average number of calories burned by
a 160 lb individual.
In the given equation x is amount of time spent weight lifting, in minutes, given the individual started the workout with a 10-minute jog.
We need to find the approximate calories burned for an individual who spent 30 minutes weight lifting
To find this we just need to put x value as 30
ý= 8.6067(30)+116.6567
y=258.201+116.6567
y=374.85
y=375
Hence, about 375 calories burned for an individual who spent 30 minutes weight lifting
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To estimate a proportion of students with a grade point average of 3.7 and higher in a college, a random sample of 200 students was taken and the number of successes counted to be 35. The 95% confidence interval for a population proportion is:
Answer: [tex](0.1481323,\ 0.2018677)[/tex]
Step-by-step explanation:
The confidence interval for population proportion :
[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex] , where n= sample size, [tex]\hat{p}[/tex] = sample proportion , z*= Critical z-value.
Let p = population proportion of successes.
Given: n= 200 , [tex]\hat{p}=\dfrac{35}{200}=0.175[/tex]
Critical z value for 95% confidence = 1.96
The 95% confidence interval for a population proportion is:
[tex]0.175\pm (1.96)\sqrt{\dfrac{(0.175)(1-0.175)}{200}}\\\\=\ 0.175\pm (1.96)\sqrt{0.000721875}\\\\= 0.175\pm (1.96)(0.0268677)\\\\=(0.175-0.0268677,0.175+0.0268677)\\\\= (0.1481323,\ 0.2018677)[/tex]
Required confidence interval: [tex](0.1481323,\ 0.2018677)[/tex]
Consider the following hypothesis test:
H0: µ = 20
Ha: µ < 20
A sample of 50 provided a sample mean of 19.4. The population standard deviation is 2.
a. Compute the value of the test statistic (to 2 decimals).
b. What is the p-value (to 3 decimals)?
c. Using a = .05, can it be concluded that the population mean is less than 20?
d. Using a = .05, what is the critical value for the test statistic?
e. State the rejection rule: Reject H0 if z is the critical value.
f. Using a = .05, can it be concluded that the population mean is less than 20?
Answer:
a
[tex]z = - 2.12[/tex]
b
[tex]p- value = 0.017003[/tex]
c
There is sufficient evidence to show that the population mean is less than 20
d
[tex]z_{0.05} =- 1.645[/tex]
e
The decision rule is
Reject the null hypothesis
f
The conclusion is
There is sufficient evidence to show that the population mean is less than 20.
Step-by-step explanation:
From the question we are told that
The null hypothesis is [tex]H_o: \mu = 20[/tex]
The alternative hypothesis is Ha: µ < 20
The sample size is n = 50
The sample mean is [tex]\= x = 19.4[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The population standard deviation is [tex]\sigma = 2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{19.4 - 20 }{ \frac{2}{ \sqrt{50 } } }[/tex]
=> [tex]z = - 2.12[/tex]
From the z table the area under the normal curve to the left corresponding to -2.12 is
[tex](P< -2.12) = 0.017003[/tex]
Generally the p-value is
[tex]p- value = 0.017003[/tex]
From values obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that the population mean is less than 20.
Generally form the normal distribution table the critical value at a level of significance of [tex]\alpha = 0.05[/tex] is
[tex]z_{0.05} =- 1.645[/tex]
Generally given that [tex]z < z_{0.05}[/tex]
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that the population mean is less than 20.
22. (01.05)
A function is created to represent the amount of money you save or spend each day of the week. What
restrictions would be made to the range? (1 point)
The range would only include integers.
The range would only include positive integers.
The range would only include negative integers.
The range would include all real numbers.
Answer:
Step-by-step explanation:
The range would only include positive integers.
you invest $4500 into an interest earning account that compounds daily at 5%.How much will you have in 6 years.How much interest will you earn
Answer:
4500*1.05^(365*6) = 1.1422929e+50
AACB = ADCE
ZA = 3x-10, ZC = 45°, ZD = 2x+10
Step-by-step explanation:
< A = < D
3x_10 = 2X+10
X=20
Consider these three squares with known area 25, 144,169
Answer:
Step-by-step explanation:
three squares with known area 25, 144,169...
1) area of the square =25
Side ×side=25
Side^2=25
Side=√25
Side =5.
Answer is 5.
2) area of the square =144
Side ×side=144
Side^2=144
Side=√144
Side =12
Answer is 12.
3)area of the square =169
Side ×side=169
Side^2=169
Side=√169
Side =13
Answer is 13.
Every 125 pages that Raul reads during his summer reading challenge, he will collect 5 book points to use at his local library. Which graph models a relationship with the same unit rate?
Answer:
The answer is "[tex]\frac{1}{25}[/tex]"
Step-by-step explanation:
They might claim that perhaps the ratio to Raul would've been:[tex]\frac{y}{x} = \frac{5}{125} = \frac{1}{25}[/tex] per each 125(x) page, which he reviewed throughout a summer competition.
Raul's cost per unit for each paragraph reads is [tex]\frac{1}{25}[/tex] page points, that's why the model a link with the same unit rate. please find the graph in the attached file.
There are 31 guests at your home for a dinner party. In how many ways could the guests arrange themselves on a four person couch?
Answer:
7.75
Step-by-step explanation:
The total number of ways could the guests be arranged on a four person couch is 31465.
What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that there are 31 guests at your home for a dinner party.
The total number of ways could the guests be arranged on a four person couch is -
C{31, 4} = 31!/{(31 - 4)!4!}
C{31, 4} = (31 x 30 x 29 x 28 x 27!/27! x 4!) = (31 x 30 x 29 x 28)/24 = 31465
C{31, 4} = 31465
Therefore, the total number of ways could the guests be arranged on a four person couch is 31465.
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which statement about 3/4 multiplied by 16/5 is true?
A. The product is greater than 5
B. The product is less than 3/4
C. The product is between 3/4 and 16/5
D. The product is between 16/5 and 5
Answer:
Option c
Step-by-step explanation:
3/4 multiplied by 16/5
3/4×16/5
12/5
Option c is correct
The product between 3/4 and 16/5
How do I solve problems like
5 + 2y = 1
Answer:
y=-2
Step-by-step explanation:
its like in the paper sorry it if crops out
PLS HELP ME I CANT DO IT AND JMBEING TIMED
Answer:
For A+B
a. 0.3+0.8 = 1.1
b. 1.2+1.4 = 2.6
c. 3.4 + 4.2 = 7.6
d. 2.25 + 2.95 = 5.20
For B-A
a. 0.8-0.3 = 0.5
b. 1.4-1.2 = 0.2
c. 4.2-3.4 = 1.2
d. 2.95-2.25 = .070
I need the answer
I don't need you to make it a whole paragraph
Answer:
3
Step-by-step explanation:
Answer:
3 cups
Step-by-step explanation:
8x + 13x
PLEAsE HLEP ME SLOVE THIS PLEASE SHOW WORK TO? THANK YOU
Answer & Step-by-step explanation:
Since they are like terms (meaning they are in the same form), you can add:
[tex]8x+13x=21x[/tex]
:Done
Write the equation of the green line.
Answer:
y = -1/2x + 2
Step-by-step explanation:
Let the equation of the green line be y = mx + c
From the graph, (-6, 5) and (0, 2) are 2 points on the green line.
m = (2-5)/(0-(-6)) = -1/2 (using gradient/slope formula)
sub (0, 2) and m = -1/2:
2 = -1/2(0) + c
2 = c
therefore,
equation of the line: y = -1/2x + 2
The two boxes shown are cuboids.
20 cm
4 cm
30 cm
3 cm
50 cm
10 cm
Work out how many of the smaller boxes you would need
to completely fill the larger one.
Answer:
250.
The area of the larger box is 30,000 cm squared. Once you find the total area of the small box, divide that by the area of the larger box and you have your answer.
Answer:
205
Step-by-step explanation:
A. 0.75s+0.4t=980
B. 0.75s-0.4t=980
C. 0.75s+0.04t=980
D. 0.75s-0.04t=980
Cuánto le falta a 3/5para llegar a 9/10
Answer:
3/10
Step-by-step explanation:
3/5 se puede convertir en 6/10
(3x2)/(5x2).
9/10 - 6/10 = 3/10
le falta 3/10 para llegar a 9/10.
Evaluate the expression 9x for x= 2.
9x = when x = 2.
(Simplify your answer.)
5. Juliet has swimming lessons every 5th day and dance lessons every 3rd day. If she
had a swimming lesson and a dance lesson on October 1, when will be the next
date on which she has both swimming and dance lessons?
A. October 5
B. October 10 C. October 15 D. October 18
Hope this helps!
C. October 15
!!!!!!!!!!!!!!!plz help asap. 50 POINTS!!!!
Answer:
its c. 1,155.00
Step-by-step explanation:
During the summer months, the prices of nonsmoking rooms with a king-sized bed in hotels in a certain area are roughly Normally distributed with a mean of $131.80 and a standard deviation of $29.12. A travel agent randomly selects prices of nonsmoking rooms with a king-sized bed from 15 hotels in the area. What is the probability that their average cost will be more than $150?
a) 0.0077
b) 0.3678
c) 0.2660
d) 0.1125
There are 12 more apples than oranges in the basket of 36 apples and oranges. How
many apples are there in the basket?
Step-by-step explanation:
Required Answer:-Total number of fruits=36Let
the number of oranges =x
The number of apples=x+12
ATQ[tex]{:}\leadsto [/tex][tex]\sf x+x+12=36 [/tex]
[tex]{:}\leadsto [/tex][tex]\sf 2x+12=36 [/tex]
[tex]{:}\leadsto [/tex][tex]\sf 2x=36-12 [/tex]
[tex]{:}\leadsto [/tex][tex]\sf 2x=24 [/tex]
[tex]{:}\leadsto [/tex][tex]\sf x={\dfrac {24}{2}}[/tex]
[tex]{:}\leadsto [/tex][tex]\sf x=12 [/tex]
Number of Apples =12+12=24Answer:
24 apples
Step-by-step explanation:
apples = x
oranges = y
y+12 = x
x+y = 36
y+y+12 = 36
2y = 24
y = 12
x = 24
PLS GIVE BRAINLIEST
PLZ HELP I BEG U!!!!!! ILL MARK U BRAINLIEST
Create a story using the inequality symbols , ≤,≥,≠ . the story must be creative, detailed, coherent, and written clearly. it does not have to be solely math related.
Answer:
T_T said to 个_个: Hallo, I am so happee!!!
Step-by-step explanation:
Plz mark as Brainliest!
2.1.2 Linear Tables and Graphs (Algebra 1)
The question is on the image below
Answer:
Step-by-step explanation:
1). Let the equation of a line is,
y = mx + b
Here, m = slope of the line
b = y-intercept
From the graph attached,
Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex] = [tex]\frac{1}{4}[/tex]
y-intercept = -2
Equation → y = [tex]\frac{1}{4}x-2[/tex]
2). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{3}{4}[/tex]
y-intercept 'b' = -3
Equation → y = [tex]\frac{3}{4}x-4[/tex]
3). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{-5}{0.75}[/tex]
= [tex]-\frac{20}{3}[/tex]
y-intercept = 5
Equation → y = [tex]-\frac{20}{3}+5[/tex]
4). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{-2}{4}=-\frac{1}{2}[/tex]
y-intercept = 4
Equation → y = [tex]-\frac{1}{2}x+4[/tex]
5). Since, line is passing through origin (0, 0)
y-intercept = 0
Slope = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{1}{1}[/tex]
Equation → y = x
6). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{1}{4}[/tex]
y-intercept = -4
Equation → y = [tex]\frac{1}{4}x-4[/tex]
hvfygcicgdigcigcicticigcdbgvbug
Answer:
This is a hw site pls dont post this, if you dont need help. I dont want your account to be deleted. :) Hope u have a great day tho, but in the future dont post this.
Step-by-step explanation:
What is the solution to x^6 – 6x ^5 + 15x ^4 – 20x ^3 + 15x^ 2 – 6x + 1 ≥ 0? x = 0 x = 1 all real numbers all real numbers except zero
Answer:
Answer: C all real numbers
Answer: All real numbers
Step-by-step explanation: Edge 2022
Simplify
92
97
1. 95
2.1/99
3.1/9-5
4. 1/95
Answer:
D : 1/9^5
Step-by-step explanation:
you would first start off by subtracting the powers ( 7-2 ), which gives us 5. That then gives you 9^5, however, 9^5 gives you 59049, and the original problem's answer was 1/59049. When you divide 1 by 9^5, you get 1/59049, which is the same as the original answer.
6. In his car, John can drive 75 miles on 5 gallons of gas. He drove
825 miles to visit his sister, how many gallons of gas did he use?
Answer: 55 Miles
Step-by-step explanation:
75x11=825
11x5=55
How many ?!!!!
?!!!
?!!
15
hope this helps you alot☺✌❤
A recipe calls for 1 1/2
teaspoons of cinnamon to make 2 oatmeal cookies.
How many teaspoons
of cinnamon are needed to make 60 oatmeal cookies?
Answer:
45
Step-by-step explanation: