Answer:
x = 2.5
Step-by-step explanation:
4( x + 7) = 38
step 1 distribute the 4 to the x and 7
4 * x = 4x
4 * 7 = 28
we now have 4x + 28 = 38
step 2 subtract 28 from each side
28 - 28 cancels out
38 - 28 = 10
we now have 4x = 10
step 3 divide each side by 4
4x / 4 = x
10 / 4 = 2.5
we're left with x = 2.5
Step-by-step explanation:
4x+28=38
4x=38-28
4x=10
X=10/4
x=2.5
How long will it take for an investment of $3000 to double in value if the interest rate is 6.5% per year compounded continuously round your answer to two decimal places
PLEASE HELPPPP
Answer:
19,500 I'm pretty sure
Step-by-step explanation:
3,000 x 6.5 = 19,500
A field is a rectangle with a perimeter of 1160 feet. The length is 400 feet more than the width. Find the width and length of the rectangular field.
Answer:
w = 90 feet and l = 490 feet
Step-by-step explanation:
First, determine what you're given:
Perimeter = 1,160 feet
Perimeter = 1,160 feetlength = (w)idth + 400
idth + 400width = w
Next, solve for the length and the width using the perimeter equation (2l + 2w = Perimeter)
2(400+w) + 2w = 1,160 feet
(800 + 2w) + 2w = 1,160 feet
800 + 2w + 2w = 1,160 feet
800 + 4w = 1,160 feet
{ Subtract 800 from both sides }
4w = 360 feet
{ Divide both sides by 4 to isolate w }
w = 90 feet
Finally, you've solved for the width which is 90 feet. Plug this back into your equation for length;
[ l = 400 + w ]
l = 400 + (90)
l = 490 feet
Since it never hurts to check;
2l + 2w = 1,160 feet
2(400+w) + 2w = 1,160 feet
2(400+90) + 2w = 1,160 feet
✅2(490) + 2(90) = 1,160 feet
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 444 gram setting. It is believed that the machine is underfilling the bags. A 9 bag sample had a mean of 441 grams with a standard deviation of 25. A level of significance of 0.025 will be used. Assume the population distribution is approximately normal.
Required:
Is there sufficient evidence to support the claim that the bags are underfilled?
Answer:
The pvalue of the test is 0.3641 > 0.025, which means that there is not sufficient evidence to support the claim that the bags are underfilled.
Step-by-step explanation:
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 444 gram setting. Test if they are underfilled:
At the null hypothesis, we test if the mean is the correct mean of 444, that is:
[tex]H_0: \mu = 444[/tex]
At the alternate hypothesis, we test if it is underfilled, that is, the mean is less than 444.
[tex]H_a: \mu < 444[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
444 is tested at the null hypothesis:
This means that [tex]\mu = 444[/tex]
A 9 bag sample had a mean of 441 grams with a standard deviation of 25.
This means that [tex]n = 9, X = 441, s = 25[/tex]
Value of the test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{441 - 444}{\frac{25}{\sqrt{9}}}[/tex]
[tex]t = -0.36[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of finding a mean of 441 or less, which is the pvalue of t = -0.36, with 9 - 1 = 8 degrees of freedom on a one-tailed test.
Using a calculator, the pvalue is 0.3641.
The pvalue of the test is 0.3641 > 0.025, which means that there is not sufficient evidence to support the claim that the bags are underfilled.
scientists released 8 rabbits into a new habitat in year 0
Answer:
A. f(x)= 8(2)^x
Step-by-step explanation:
hope that helped
Which one is the value for x, y and z
Answer:
Option (3)
Step-by-step explanation:
Properties of the equal matrices,
1). Every element of the one matrix are equal to the elements of other.
2). Both the matrices have same dimensions.
If, [tex]\begin{bmatrix}x+3 & y+4\\ 7 & -5\end{bmatrix}=\begin{bmatrix}5 & 0\\ 7 & z\end{bmatrix}[/tex]
[tex]x+3=5[/tex]
[tex]x=2[/tex]
[tex]y+4=0[/tex]
[tex]y=-4[/tex]
[tex]x=-5[/tex]
Therefore, Option (3) will be the correct option.
A total of 423 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
write this in exponential form
a×b×a×b×a
[tex] {a}^{3}. {b}^{2} [/tex]
:D
Explanation:
We have three copies of 'a' multiplied, so that's why the exponent for 'a' is 3.
Similarly, the b^2 means we have b*b or two copies of b multiplied together.
Write the equation of the line with slope m=1/3 through the point (6,−2). Then, sketch a graph of the line.Please be sure to scale your axes!
9514 1404 393
Answer:
y +2 = (1/3)(x -6)
Step-by-step explanation:
When given a point and a slope, it is convenient to use the point-slope form of the equation for a line.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
For your point and slope, this is ...
y +2 = 1/3(x -6)
__
The slope of 1/3 means the graph has a "rise" of 1 for each "run" of 3:
slope = m = rise/run = 1/3
A graph of it is attached.
In the Salk vaccine field trial, 400,000 children were part of a randomized controlled double-blind experiment. Just about half of them were assigned at random to the vaccine group, and the other half to the placebo.16 In the vaccine group, there were 57 cases of polio, compared to 142 in the placebo group. Is this difference due to chance? If not, what explains it?
Answer:
Step-by-step explanation:
From the given information:
The number of children that were randomly allocated to each vaccination group; n₁ = 200,000
No of polio cases X₁ = 57
Now, in the vaccine group:
the proportion of polio cases is:
[tex]\hat p_1 = \dfrac{57}{200000}[/tex]
= 0.000285
The number of children that were randomly allocated to the placebo group, n₂ = 200,000
No of polio cases X₂ = 142
In the placebo group
the proportion of polio cases is:
[tex]\hat p_2 = \dfrac{142}{200000}[/tex]
Null and alternative hypothesis is computed as follows:
H₀: There is no difference in the proportions of polio cases between both groups.
H₁: There is a difference in the proportions of polio cases between both groups.
Let assume that the level of significance ∝ = 0.05
The test statistic can be computed as:
[tex]Z = \dfrac{\hat p_1-\hat p_2}{\sqrt{\dfrac{\hat p_1 \hat q_1}{n_1}+ \dfrac{\hat p_2 \hat q_2}{n_2}}}[/tex]
[tex]Z = \dfrac{0.000285-0.000710}{\sqrt{\dfrac{0.000285(1-0.000285)}{200000}+ \dfrac{0.000710(1-0.000710)}{200000}}}[/tex]
[tex]Z = \dfrac{-4.25\times 10^{-4}}{\sqrt{\dfrac{0.000285(0.999715)}{200000}+ \dfrac{0.000710(0.99929)}{200000}}}[/tex]
Z = - 6.03
P-value = 2P(Z < -6.03)
From the Z - tables
P-value = 2 × 0.0000
= 0.000
We reject the H₀ provided that P-value is very less.
Therefore, we may conclude that there is a difference in the proportions of polio cases between the vaccine group and placebo group not due to chance.
The function f(x) is graphed below. Use the graph of the function to find, f(-6). A. -3 B. -1 C. 1 D. 3
Answer:
-3
Step-by-step explanation:
Answer:
The function f(x) is graphed below.
Use the graph of the function to find, f(-6).
A. -3
B. -1
C. 1
D. 3
Step-by-step explanation:
The function f(x) is graphed below.
Use the graph of the function to find, f(-6).
A. -3
B. -1
C. 1
D. 3
answer -3
Plz help no links :)
Answer:
C) f(x) = 6.25x + 3
Step-by-step explanation:
In order to know which one of the functions could produce the results in the table we simply need to substitute the number of candy bars for x in the function and solve it to see if it provides the correct total weight shown in the table. If we do this with the functions provided we can see that the only one that provides accurate results would be
f(x) = 6.25x + 3
We can input the # of candies for x and see that it provides the exact results every time as seen in the table.
f(x) = 6.25(1) + 3 = 9.25
f(x) = 6.25(2) + 3 = 15.50
f(x) = 6.25(3) + 3 = 21.75
f(x) = 6.25(4) + 3 = 28
Trying to understand why the answer is 5...
Isaac has a games rental business where his customers pay an annual membership and a fixed cost for each game rented. The following table shows the total bill for some new customers who rented different games .
Answer:
(H) is your answer i believe
Step-by-step explanation:
i subtracted 18 from each cost then divided it by 4 and got the numbers of game rented.
If Sn=2^n-1
what's the expression of
Sn-1?
Answer:
[tex]S(n-1)=2^{n-2}[/tex]
Step-by-step explanation:
Given that,
The value of [tex]S_n=2^{n-1}[/tex]
We need to find an expression for [tex]S(n-1)[/tex]. To find it, put the value of n as (n-1). So,
[tex]S_{n-1}=2^{n-1-1}\\\\=2^{n-2}[/tex]
Hence, the value of S(n-1) is equal to [tex]2^{n-2}[/tex].
Divide using common factors.
(-4x^3 + 8x^2 – 16x) ÷ (2x)
Answer: Hello Luv......
Factor the numerator and denominator and cancel the common factors.
−2x2+4x−8
Step-by-step explanation:
Hope this helps. Mark me brainest please.
Anna ♥
Answer:
[tex] = \frac{( - 4 {x}^{3} + 8 {x}^{2} - 16x) }{2x} \\ = \frac{ - 4 {x}^{3} }{2x} + \frac{8 {x}^{2} }{2x} - \frac{16x}{2x} \\ = - 2 {x}^{2} + 4x - 8[/tex]
P(x,y) reflection in x=y line
Answer:
P(x,y) reflection in x=y line:(y,x)
Solve for x & show steps
2000 = 400√x
x=25
Step-by-step explanation:
2000=400√x
Step 1: Flip the equation.
400√x=2000
Step 2: Divide both sides by 400.
400√x/400=2000/400
√x=5
Step 3: Solve Square Root.
√x=5
x=52(Square both sides)
x=25
Check answers. (Plug them in to make sure they work.)
x=25
Can you help me with this question??
9514 1404 393
Answer:
about 1.4288993 radians
Step-by-step explanation:
The angle to terminal arm A is ...
∠A = arctan((-4/5)/(-3/5)) ≈ 4.0688879 radians
The angle to terminal arm B is ...
∠B = arctan((-1/√2)/(1/√2)) ≈ 5.4977871 radians
Then the angle between the arms is ...
5.4977871 -4.0688879 ≈ 1.4288993 . . . radians
Which of the following correctly describes confidence level?
A.
A confidence level is the probability that a simple event will occur.
B.
A confidence level is a value that is added and subtracted from a given value to give an interval where something will likely happen.
C.
A confidence level is the probability that something will fall within a confidence interval.
D.
A confidence level is the probability that something will fall outside of a confidence interval.
Kirsten runs at an average rate of meters per second. What is Kirsten’s average rate in kilometers per minute?
Answer:
[tex]r \frac{\text{60 km}}{\text{1000 min}}[/tex]
Step-by-step explanation:
Suppose Kirsten's running rate is r meters per second. This is to be converted to kilometers per minute.
Set up conversion fractions that will get you from
[tex]\frac{\text{m}}{\text{sec}} \rightarrow \frac{\text{km}}{\text{min}}[/tex]
You want to set up fractions so that the m on top is replaced with km and the sec on the bottom is replaced with min.
[tex]\frac{\text{m}}{\text{sec}} \times \frac{\text{km}}{\text{m}} \times \frac{\text{sec}}{\text{min}}[/tex]
To see how the units work, cancel the m on top of the first fraction and the m on the bottom of the second fraction. Do the same with the sec on the bottom of the first fraction and the top of the third fraction. What units are left? km per min!
To finish this, put the appropriate numbers into each fraction.
[tex]\frac{\text{m}}{\text{sec}} \times \frac{\text{1 km}}{\text{1000 m}} \times \frac{\text{60 sec}}{\text{1 min}} = \frac{\text{60 km}}{\text{1000 min}}[/tex]
This is what you multiply Kirsten's rate by, so she runs
[tex]r \frac{\text{60 km}}{\text{1000 min}}[/tex]
Which equation is equivalent to the given equation?
-4(1 – 5) + 8x = 9x - 3
Answer: Hello Luv........
Isolate the variable by dividing each side by factors that don't contain the variable.
x=19
Step-by-step explanation:
Hope this helps.
Mark me brainest please.
Anna ♥
Is 9/10 (greater than) (Less than) or equal to 7/5
Ryan sprinted 139 feet. How many yards did he sprint
Answer:
Ryan sprinted 46.33 yards.
Step-by-step explanation:
Ryan sprinted 139 feet.
1 feet = 0.33 Yard
Formula: Divide the length value by 3
Now,
139 ÷ 3 = 46.33
Thus, Ryan sprinted 46.33 yards.
-TheUnknownScientist
PLS ANSWER. 215 + (--57) =
Answer:
C. 158
Step-by-step explanation:
215 + (- 57)
215 - 57
158
Answer:
Option C, 158
Step-by-step explanation:
This is the same as expression: 215 - 57
So the answer would be: 158
Hope this helps!
I need this answer today i will give you a crown and good raitings if you get it write and you give it to me today
Answer:Mean is 22. Median is 19. Mode is 31. Range is 18.
Step-by-step explanation:
Mean: add all the numbers and divide the answer by the number of numbers there were in the beginning.
31+16+13+19+31=110
110/5=22
Median: arrange the numbers in or Eder and find the middle
13,16,19,31,31
The middle is 19.
Mode: is the number that shows up frequently
Mode is 31 as it shows up twice
Range is the difference between the biggest and smallest number
31-13=18
18 is the range.
please help me ASAPPPPPPPP
Answer:
( x+1 ) ( 6x - 1 )
Gabby and Dominic think differently when it comes to money. Gabby believes that she should put her money in the bank, but Dominic thinks he should keep his
money at home in his Umizoomi piggy bank.
Who do you agree with? Why?
Answer:
I agree with gabby because if a bank is robbed you will get your money back from the bank.
if a piggy bank is stolen then you cant get the money inside it back.
Step-by-step explanation:
The table shows a pattern for two units of eustomary capacity.
1
4
2
8
3
12
4
Which are the best labels for each column?
A. Gallons, Pups
B. Quarts, Cups
C. Pints, Cups
D. Cups, Fluid Ounces
F(x) = 16x^5
Linear or Non linear
(NO LINKS PLEASE!)
Answer:
y = 16x^5
Step-by-step explanation:
Listed below are the summary statistics from samples of strontium-90 in baby teeth obtained from twelve Pennsylvania residents and another twelve from New York residents born after 1979. PA NY Mean 147.583 136.417 Stdev 10.6383 5.21289 If we wished to test the claim that the mean amount of strontium-90 from Pennsylvania residents is greater than the mean of New York residents, and can assume that the variances are equal, what is the Test Statistic for this test
Answer:
9.72
Step-by-step explanation:
s1 = 10.6383 ; s2 = 5.21289
x1 = 147.583 ; x2 = 136.417
n1 = 12 ; n2 = 12
df1 = n1 - 1 = 12 - 1 = 11
df2 = n2 - 1 = 12 - 1 = 11
The test statistic :
(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]
Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)
Sp² = ((11*10.6383) + (11*5.21289)) / 22 = 7.926
Test statistic, T* :
(147.583 - 136.417) / √(7.926 * (1/12 + 1/12))
11.166 / √(7.926 * (1/6)
11.166 / √1.321
11.166 / 1.1493476
T* = 9.7150766
Test statistic = 9.72