a)Solve for x:
y = 130 − 4x
b) What is the value of x when y = 120
Answer:
[tex]x = \frac{5}{2}[/tex]
Step-by-step explanation:
y = 130 - 4x
======================
120 = 130 - 4x
-10 = -4x
x = [tex]\frac{-10}{-4} =\frac{5}{2}[/tex]
Mika is a local farmer who is interested in how often residents in her town go to a farmer's market each month. She surveys 124 families and finds that, on average, those families visit a farmers' market 4.2 times per month with a sample standard deviation of 1.3. If Mika wants to be 99% confident (z=2.58) using this sample, what should her margin of error be and what does it mean?
Answer:
The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.
Step-by-step explanation:
Margin of error
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
Standard deviation of 1.3
This means that [tex]\sigma = 1.3[/tex]
She surveys 124 families
This means that [tex]n = 124[/tex]
Margin of error and meaning:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 2.58\frac{1.3}{\sqrt{124}}[/tex]
[tex]M = 0.3012[/tex]
The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.
Just wanted to make sure I got the right answer
Answer:
D
Step-by-step explanation:
The new number 200 is 400 less than the original number what is the approximate per percent change
Answer:
200+400=600
400/600=2/3=66.6%
Pls help solve this...No hacker links
Answer:
x=13
Step-by-step explanation:
18-5=13. You have to subtract 5 from 5 itself and then 18.
find m
135°
125°
55°
100°
Answer:
answer: m = 125
Step-by-step explanation:
parellograms add up to a total of 360 so m = 125 because 125 + 125 + 55 + 55 = 360 Hope this helps!
Step-by-step explanation:
here's your solution
==> sum of corresponding angles of parallelogram = 180°
==> angle J + angle k = 180°
==> 55° + k = 180°
==> k = 180° - 55°
==> k = 125°
[tex]hope \: it \: helps[/tex]
What is the total of 12 monthly payments of 100.00 including tax
Answer:
The monthly payments of said financing plan will be $8.33.
Step-by-step explanation:
To determine what is the total of 12 monthly payments of $ 100.00 including tax, the following calculation must be performed:
100/12 = X
8.33 = X
Therefore, the monthly payments of said financing plan will be $8.33.
In an isosceles triangle, the base angles measure 65°. Which of the following expressions is a way to calculate the measure of the third angle?
Answer:
its A
Step-by-step explanation:
its A ️ ♀️ ️ ♂️ ️
The question is in le picture below U-U
Answer:
30%
Also I LOVE THE EMMA PIC!!!!!!!!
please help me!! asap!!
Answer:
answer: 85
Step-by-step explanation:
These add up to 360 and
85 + 85 + 95 + 95 = 360 so 85 is the answer.
Hope that helps!
Guys help me with this quick pls
Answer:
[tex]117 = 66 + \beta \\ \beta = 51[/tex]
14. A cone has twice the base diameter and
three-fourths the height of a cylinder. Can
you tell what the relationship between the
volume of the cone and the volume of the
cylinder is? Explain your reasoning.
Answer:
1+1 is cannot be
Step-by-step explanation:
jajauajhwhahwwhhahwhauwu
9 mi
12 mi
What is the length of the hypotenuse?
miles
Which of the functions below could have created this graph?
are these two triangles congruent? if so state, how you know.
Answer:
by SSS axiom
hope it helps.
Answer:
Step-by-step explanation:
Yes
the two sides that are marked make 2/3 of the sides needed for SSS
The line shared by both triangles make the third side.
Answer: SSS
Graph the following function on the axes provided.
Answer:
this may help you.look it once
Step-by-step explanation:
.
Jerry has $90 in his savings account. The interest rate is 10%, compounded annually. To the nearest cent, how much interest will he earn in 3 years
Answer:
27 cents
Step-by-step explanation:
10% of 90= 9
9x3=27
Answer:
p x t x r / 100
90 x 10 x 3 / 100
=27
Construct a histogram for the following data set: 11, 17, 13, 2, 22, 18, 16, 14, 16, 21, 17, 9, 9, 7, 3
Each triangular face of the following solid figure is congruent. If the area of each face is 12 square inches, what is the
surface area of the entire figure?
Answer:
the surface area is 48in^2 because there are 4 faces and you have to find the surface are in which you must multiply 12 by 4.
Step-by-step explanation:
x > -3 For each statement list three numbers that would make a solution to the inequality true.
Answer:
x = -2
x = -1
x = 0
Step-by-step explanation:
Find three numbers to the left of -3 on the number line
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
find the number of terms in the series for the series given below.
Find the solution of the following equation whose argument is strictly between 90° and 180°.
Answer:
180degreesStep-by-step explanation:
Given the complex value
z² = -81i
z = (-81i)^1/2
Get the argument of -81i
theta = arctan(y/x)
theta = arctan(-81/0)
theta = -90degrees
theta = -π/2
Since tan is negative in the secind quadrant
theta = π - π/2
theta = π/2
According to demoivres theorem
theta = 1/2 * π/2
theta = π
theta = 180degrees
Two trains leave New York at the same time. One travels south 50 miles per hour and the other traveled east at 40 miles per hour. How far apart are they at the end of THREE HOURS?
Answer:
192 miles
Step-by-step explanation:
This is a right triangle problem
One leg of the triangle is
50 * 3 = 150
The other leg is
40 * 3 = 120
the distance is the hypotenuse
c^2 = 150^2 + 120^2
c^2 = 22500 + 14400
c^2 = 36900
Take the square root of both sides
c = 192.093727123
c ≈ 192 miles
Answer:
30 miles apart
Step-by-step explanation:
Im not sure if this is the corect answer to this but this is what i think what i did was get 50 x 3 and 40 x 3 since they starded at the same times and finished after 3 hours so multiply your numbers by 3 so...
50 x 3=150
40 x 3=120
150-120=30 miles apart
giving out brainliest answer please help me out asap !! it’s due today
Answer:
180=3x+7x+10
simplify
180=10x+10
subtract 10 from both sides
170=10x
divide both sides by 10
x=17
What is the perimeter of this shape? Use numbers only.
Answer:
30 m
Step-by-step explanation:
You simply add the lengths of all the sides. 3 m is not needed for this.
Answer:
10+5+4+6+5 = 30m
Step-by-step explanation:
what are the answers for these two questions? please also tell me HOW you got that answer
9. Multiply the money he has by the portion he spent:
75 x 3/5 = (75 x3)/5 = 225/5 = 45
He spent $45
10. First rewrite 4 1/8 as an improper fraction
33/8
Now multiply by 1/3:
33/8 x 1/3 = (33 x1) /(8 x 3) = 33/24 = 1 3/8
She spent 1 3/8 hours studying math.
Find the slope of the line parallel to the line graphed.
My Answer:
Helppppppppppp!!!!! Please
Answer:
The answer is C.
Step-by-step explanation:
angle 5 and 4 makes a line which is 180 and since angle 5 equals 57 , 180-57=123.
What’s the answer (no link I give brainly)
Many elementary school students in a school district currently have ear infections. A random sample of children in two different schools found that 16 of 40 at one school and 13 of 30 at the other had this infection. Conduct a test to answer if there is sufficient evidence to conclude that a difference exists between the proportion of students who have ear infections at one school and the other. Find the test statistic. [Suggestion: try to use a TI 83 or a similar calculator.]
Answer:
The test statistic is [tex]z = -0.28[/tex]
Step-by-step explanation:
First, before finding the test statistic, we need to understand the central limit theorem and difference between normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
A random sample of children in two different schools found that 16 of 40 at one school
This means that:
[tex]p_1 = \frac{16}{40} = 0.4, s_1 = \sqrt{\frac{0.4*0.6}{40}} = 0.0775[/tex]
13 of 30 at the other had this infection.
This means that:
[tex]p_2 = \frac{13}{30} = 0.4333, s_2 = \sqrt{\frac{0.4333*0.5667}{30}} = 0.0905[/tex]
Conduct a test to answer if there is sufficient evidence to conclude that a difference exists between the proportion of students who have ear infections at one school and the other.
At the null hypothesis, we test if there is no difference, that is:
[tex]H_0: p_1 - p_2 = 0[/tex]
And at the alternate hypothesis, we test if there is difference, that is:
[tex]H_a: p_1 - p_2 \neq 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the two samples:
[tex]p = p_1 - p_2 = 0.4 - 0.4333 = -0.0333[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.0775^2+0.0905^2} = 0.1191[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-0.0333 - 0}{0.1191}[/tex]
[tex]z = -0.28[/tex]
The test statistic is [tex]z = -0.28[/tex]