6x+25=1
move +25 to the other side
sign changes from +25 to -25
6x+25-25=1-25
6x=1-25
6x=-24
divide both sides by 6 to get x by itself
6x/6=-24/6
x=-4
answer: x=-4
Do the ratios 3/20 and 1/4 form a proportion?
Answer:
yes
Step-by-step explanation:
if the denomentators are dividable, than it is a equivalent equation
A map of California has a scale factor of 1 inch = 16 miles. The distance on the map from Riverside to Chula Vista is 3.5 inches. How far are the two cities in real life?
Answer:
56 miles
Step-by-step explanation:
Find the length of the third side to the nearest tenth.
8
5
Answer:
The length of third side is: 6.3
Step-by-step explanation:
Given triangle is a right triangle where
Base = ?
Perpendicular = 5
Hypotenuse = 8
Let x be the base
As it is a right-angled triangle, Pythagoras theorem can be used to find the third side
[tex]Hypotenuse^2 = Base^2 + Perpendicular^2[/tex]
Putting the known values
[tex](8)^2 = x^2 + (5)^2\\x^2 = (8)^2-(5)^2\\x^2 = 64-25\\x^2 = 39\\[/tex]
Taking square root on both sides
[tex]\sqrt{x^2} = \sqrt{39}\\x = 6.24499[/tex]
Rounding off to the nearest 10th
Base = 6.3
Hence,
The length of third side is: 6.3
The fair spinner shown in the diagram above is spun.
Work out the probability of getting a 5.
Give your answer as a fraction in its simplest form.
Answer:
1/5
Explanation:
There are five choices in the spinner. One of the choices is labeled '5'. That means you will have one out of the 5 choices to get the choice labeled '5'.
Good day :)
Identify the pattern rule for this sequence
Answer:
it should be c
Step-by-step explanation:
y=-3x2 + 18x + 10?
What is the axis of symmetry
Answer:
x = 3
Step-by-step explanation:
The formula for the axis of symmetry is x = -b/[2a]. Here, a = -3 and b = 18.
-18
Thus, the axis of symmetry is x = - ------------ = 3, or x = 3
2[-3]
3.) Jimena used her calculator to divide 2 by 13.
The calculator screen shows the number: 0.1538461.
Round Jimena's answer to the nearest tenth. =
Answer: 0.2
Step-by-step explanation:
A random sample of 500 people is taken. 260 of them rent (as oppose to own) their residence. Compute a 95% confidence interval for the true proportion
Answer: A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).
Step-by-step explanation:
Let p = True proportion of people rent their residence.
Given: n= 500
People rent their residence = 260
[tex]p=\dfrac{260}{500}=0.52[/tex]
z-value for 95% confidence level = 1.96
A 95% confidence interval for the true proportion will be :
[tex]p\pm z^*\sqrt{\dfrac{p(1-p)}{n}}[/tex]
[tex]0.52\pm (1.96)\sqrt{\dfrac{0.52(1-0.52)}{500}}\\\\=0.52\pm(1.96\sqrt{\dfrac{0.2496}{500}})\\\\=0.52\pm 1.96\sqrt{0.0004992}\\\\=0.52\pm (1.96)(0.02234)\\\\=0.52\pm0.0437864\\\\=(0.52-0.0437864,\ 0.52+0.0437864)\\\\=(0.4762136,\ 0.5637864)[/tex]
A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).
Find the measure of the arc.
Answer: 90
Step-by-step explanation:
I need an equation for this algebra problem
Answer:
2.5 hours
Step-by-step explanation:
Given
The information in the attachment
To solve this question, first we calculate the slope
[tex](t_1,B_1) = (1,19,5\%)[/tex]
[tex](t_2,B_2) = (2,13\%)[/tex]
The slope is:
[tex]m = \frac{B_2 - B_1}{t_2 - t_1}[/tex]
[tex]m = \frac{13\% - 19.5\%}{2-1}[/tex]
[tex]m = \frac{-0.065}{1}[/tex]
[tex]m = -0.065}[/tex]
The equation is calculated as:
[tex]B - b_3 = m(t - t_3)[/tex]
Where
[tex]m = -0.065}[/tex]
[tex](t_3,B_3) = (3,6.5\%)[/tex]
This gives
[tex]B - 6.5\% = -0.065(t - 3)[/tex]
[tex]B - 6.5\% = -0.065t +0.195[/tex]
[tex]B -0.065 = -0.065t +0.195[/tex]
[tex]B = -0.065t +0.195 +0.065[/tex]
[tex]B = -0.065t +0.26[/tex]
To calculate the time at 9.75%.
We take B = 9.75%
So, we have:
[tex]9.75\% = -0.065t +0.26[/tex]
Solve for t
[tex]0.0975= -0.065t +0.26[/tex]
Collect Like Terms
[tex]0.065t= -0.0975 +0.26[/tex]
[tex]0.065t= 01625[/tex]
[tex]t = 0.1625/0.065[/tex]
[tex]t = 2.5[/tex]
Hence, it will take 2.5 hours.
64% of students will apply for graduate school. from a sample of 100 students, 52 stating that they will apply for grad school. for alpha=.01 you ___ hypothesis
Answer:
you accept the alternative hypothesis
Step-by-step explanation:
The null and alternative hypothesis can be computed as follows:
[tex]H_o: p = 0.64 \\ \\ H_1: p \le 0.64[/tex]
The sample proportion [tex]\hat p = \dfrac{x}{n}[/tex]
[tex]\hat p = \dfrac{52}{100}[/tex]
[tex]\hat p = 0.52[/tex]
The test statistics can be computed as:
[tex]Z = \dfrac{\hat p -p_o}{ \sqrt{ \dfrac{p_o \times (1-p_o)}{ n} }}}[/tex]
[tex]Z = \dfrac{0.52 -0.64}{ \sqrt{ \dfrac{0.64 \times (1-0.64)}{ 100} }}}[/tex]
Z = -2.5
The P-value = 2( Z< -2.5)
From the tables;
The P-value = 2 (0.0062)
The P-value = 0.0124
The significance level = 0.01
Since the P-value is > significance level; we fail to reject the null hypothesis.
Conclusion: we accept the alternative hypothesis
Using the z-distribution, it is found that since the test statistic is less than the critical value for the left-tailed test, it is found that there is enough evidence to conclude that the percentage is less than 64%.
At the null hypothesis, it is tested if the proportion is of 64%, that is:
[tex]H_0: p = 0.64[/tex]
At the alternative hypothesis, it is tested if the proportion is less than 64%, that is:
[tex]H_1: p < 0.64[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: [tex]n = 100, \overline{p} = \frac{52}{100} = 0.52, p = 0.64[/tex]
Hence:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.52 - 0.64}{\sqrt{\frac{0.64(0.36)}{100}}}[/tex]
[tex]z = -2.5[/tex]
The critical value for a left-tailed test, as we are testing if the proportion is less than a value, using the z-distribution with a significance level of 0.01, is of [tex]z^{\ast} = -2.33[/tex]
Since the test statistic is less than the critical value for the left-tailed test, it is found that there is enough evidence to conclude that the percentage is less than 64%.
For more on the use of the z-distribution for hypothesis tests, you can check https://brainly.com/question/25584945
through: (-5, 4), parallel to y=--x+4
Answer:
y=-x-1
Step-by-step explanation:
1.) equation of line in slope-intercept form: y=4-x
2.) parallel of line is same as: m=-1
3.) equation of parallel line is: y=-x+b
4.) finding b: 4=(−1)⋅(−5)+b
b=-1
5.) therefore, equation is y=-x-1
marissa can read 15 pages in 5 minutes and 30 seconds how long will it take for her to read 105 pages
Answer:
38.5 minutes
Step-by-step explanation:
105 divided by 15=7
7 x 5 minutes and 30 seconds is 38.5 minutes
PPPPPPPLLLLLLLLLLLLLLEEEEEEEEEESSSSSSS HELP ME
Mark bought 5 t-shirts for $32.35. What was the mean cost of one shirt?
Answer:
6.47 i THINK . or just use a search engine .
Step-by-step explanation:
i just divided 32.35 by 5
Answer:
6.47 thank me
Step-by-step explanation:
Pran ran 29 miles less than Robin last week. Pran ran 19 miles. How many
miles did Robin run?
It takes Andre 4 minutes to swim 5 laps. a.How many laps per minute is that?
Answer:
1.25 laps per minute
Step-by-step explanation:
If 16g if a radioactive substance are present initially and 5yr later only 8g remain how much substance will be present after 9yr
9514 1404 393
Answer:
4.59 g
Step-by-step explanation:
The half-life is given as 5 years, so the amount remaining after 9 years will be ...
remaining = initial × (1/2)^(t/(half-life))
remaining = (16 g)×(1/2)^(9/5) ≈ 4.59 g
About 4.59 g of the substance will remain after 9 years.
How many solutions does the equation 3x + 6 = −1 − 3 + 4x have? (5 points)
Two
None
One
Infinitely many
Answer:
The equation has only one solution which is:
[tex]x = 10[/tex]Step-by-step explanation:
Given the equation
[tex]3x\:+\:6\:=\:-1\:-\:3\:+\:4x[/tex]
Let us solve the equation to determine the type of the equation
[tex]3x\:+\:6\:=\:-1\:-\:3\:+\:4x[/tex]
subtract the number: -1 - 3 = -4
[tex]3x+6=4x-4[/tex]
subtract 6 from both sides
[tex]3x+6-6=4x-4-6[/tex]
[tex]3x=4x-10[/tex]
subtract 4x from both sides
[tex]3x-4x=4x-10-4x[/tex]
[tex]-x=-10[/tex]
Divide both sides y -1
[tex]\frac{-x}{-1}=\frac{-10}{-1}[/tex]
[tex]x=10[/tex]
Therefore, the equation has only one solution which is:
[tex]x = 10[/tex]Answer:
C one
Step-by-step explanation:
I toolk the test
A rectangular photograph is reduced to 75% of its original size. The photo was originally 12 inches by 16 inches. What is the perimeter, in inches, of the reduced picture?
The Ferris wheel is the most popular ride. In 1 hour, the Ferris wheel had 240 riders. If that was 60% of the total number of riders, then how many riders did the Ferris wheel have?!!PLEASE ANSWER!!
Answer:
400 riders
Step-by-step explanation:
The Ferris wheel had 400 riders.
400*0.60=240.
Answer:
Y = 144
Step-by-step explanation:
60 times = 14400
14400 = y times 100
Given a point and slope, find the equation. (1, 4.8) and m=3.7
y=mx+b the m=3.7 What is b??
y=4x+1
y=-3/4 |x|
how do i graph these equations (separate problems)?
what is 25+25458752452+5454466125+545454885422574212=
Answer:
5.4545492e+17
Step-by-step explanation:
aka a really big number
Using the table below,which statement best describes whether or not the relationship identifies a function?
Answer: I'm pretty sure the correct answer is (B) Let me know if i'm correct!
Step-by-step explanation:
Need help with this math problem ASAP. Look at the picture attached. The linear function f(x) passes through the points (0,3) and (2,7). A few values from the exponential function g(x) are shown in the table. What is the positive difference in the y-intercept value of f(x) and g(x)?
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]f(x) = 2x + 3[/tex]
And
[tex]g(x) = 2 \times {3}^{x} \\ [/tex]
_________________________________
To find the y-intercept of any equation just need to put 0 (( zero )) instead of the x in the equation...
Let's do it...._________________________________
In f ( x ) :
[tex]y - intercept = f(0)[/tex]
[tex]f(x) = 2x + 3[/tex]
[tex]f(0) = 2(0) + 3[/tex]
[tex]f(0) = 3[/tex]
Thus :
[tex]y - intercept = 3[/tex]
##############################
In g ( x ) :
[tex]y - intercept = g(0)[/tex]
[tex]g(x) = 2 \times {3}^{x} [/tex]
[tex]g(0) = 2 \times {3}^{0} [/tex]
[tex]g(0) = 2 \times 1[/tex]
[tex]g(0) = 2[/tex]
Thus :
[tex]y - intercept = 2[/tex]
_________________________________
The positive difference in the y-intercept value of f ( x ) and g ( x ) is :
[tex] |3 - 2| = |1| = 1[/tex]
So write this in the box : 1
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
And we're done....
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Write an inequality for the following 2 STATEMENTS. You
do NOT need to solve them.
1)two less than a number is less than 9
2)the sum of a number and 8 is more than 4
Answer:
We
Given below are pictures of some common reptiles. Unscrambles
land and water.
jumbled letters and write their names:
an
P
1.
2.
Snake
TLALIGAOR
3.
KNSAE
4.
TRUTLE
Step-by-step explanation:
ASAP please help me I need this quick
The question and answers are in the picture
Answer:
25
Step-by-step explanation:
maybe this will help you
Answer:
C. 125 cm^3
Step-by-step explanation:
Hope this helps!! Brainliest please :)
Could someone help me
Answer:
its the last one
because the rest of them are wrong
Solve the system by substitution. y = 8x + 32 Y= -8x
Find the value of the power 6 to the -4th
Answer:
6 to the -4th is 7.716 x 10^-4
Step-by-step explanation: