Answer:
[tex]x = 77[/tex]
Step-by-step explanation:
Given
[tex]First \to Second[/tex]
[tex]35 \to x[/tex]
[tex]20 \to 44[/tex]
[tex]20 \to 44[/tex]
Required
Find x by SSS
Represent the triangle sides as a ratio
[tex]35 : x = 20 : 44[/tex]
Express as fraction
[tex]\frac{x}{35} = \frac{44}{20}[/tex]
Multiply by 35
[tex]x = \frac{44}{20} * 35[/tex]
[tex]x = \frac{44 * 35}{20}[/tex]
[tex]x = \frac{1540}{20}[/tex]
[tex]x = 77[/tex]
Answer:
ccccccccccccccccccccccccccc
Step-by-step explanation:
(10 points!) The function below has an input, x, and produces a specific output, c. (Pictured below.)
Answer:
x =[tex]x =(\frac{c}{4} )^{1/3} \\[/tex]
input 2 output 32
output 256 input 4
Step-by-step explanation:
The equations of two lines are given. Determine if the lines are parallel, perpendicular, or neither.
8x - 7y = 6
8x - y = -8
Answer:
8x-7y=6
or, -7y=-8x+6
or, y=8x/7-6/7
so the slope is 8/7
8x-y=-8
or, -y=-8x-8
or, y=8x+8
So the slope is 8
Both has different slope and they don't satisfy the property of being perpendicular to each others, so they're neither parallel nor perpendicular.
Answered by GAUTHMATH
arrange the following in descending order - 5, 0, -15, 2.5, 2.05
Answer:
2.5, 2.05, 0, -5, -15
Step-by-step explanation:
for negative numbers the bigger is worth less
A sample of 25 one-year-old girls had a mean weight of 24.1 pounds with a standard deviation of pounds. Assume that the population of weights is normally distributed. A pediatrician claims that the standard deviation of the weights of one-year-old girls is less than pounds. Do the data provide convincing evidence that the pediatrician's claim is true
Answer:
Paedtricians claim isn't true.
Step-by-step explanation:
The hypothesis :
H0 : σ = 7
H0 : σ > 7
The test statistic ; χ² :
χ² = [(n - 1) * s²] ÷ σ²
n = 25 ; s = 4.3, σ = 7
χ² = [(25 - 1) * 4.3²] ÷ 7²
χ² = [(24 * 4.3²] ÷ 49
χ² = 443.76 / 49
χ² = 9.056
At α = 0.01 ; critical value = 42.980
Since critical value > test statistic, we fail to reject the null, H0.
I can’t remember how to solve this?
Answer:
Step-by-step explanation:
[tex]\frac{(5.27+x)}{2} =-4.51[/tex],[tex]\frac{8.21+y}{2} = 1.37[/tex]
(3.75,-5.47)
me to
ICS A
V
t
V
30
A vehicle accelerates from 0 to 30 m/s in 10 seconds on a
straight road, then travels 15 seconds at a constant velocity.
Next it slows down, coming to a stop in 5 seconds. The car
waits 10 seconds, and then backs up for 5 seconds
accelerating from 0 to -10 m/s. Draw a graph showing the
vehicle's velocity vs time by following these steps.
20
What is the velocity of the vehicle at 0 seconds?
v m/s
Velocity (m/s)
es
10
40
20 30
Time (s)
Elementary
-10
S
Secondary
< Previous Activity
enuity.com/ContentViewers/Frame Chain/Activity
US 1:09
24
4
3+
2+
2
1
-3
-
-1
1
1
2
3
4
-1+
-2 +
-3+
4
What is the slope of the line?
Answer:
1.5/2
Step-by-step explanation:
slope formula = y2-y1/ x2 - x1
point one (2,0)
point 2 (0, 1.5)
you dont really need to subtract anything because the intercepts, so the slope is 1.5/2
(slope or m = 1.5 - 0 / 2 - 0 )
x intercept = value of x when y is 0
y intercept = value of y when x is 0
Plz help I’ll mark you
Answer:
C. 6.8 in
Step-by-step explanation:
hope it helps please correct me If I am wrong
Suppose Z has a normal distribution with a mean of 10.0 and a standard deviation of 5.0 what is the P(2.0
Answer:
.0548
Step-by-step explanation:
(2-10)/5= -1.6
go to a ztable and get .0548
Cross out three digits in the number 51489704 so that the resulting number is divisible by 45. What number is left?
The factors of 45 are 9 and 5.
A number divisible by 45 needs to be divisible by both 9 and 5.
For a number to be divisible by 9 the sum of the digits must also be divisible by 9 and the number needs to end with either a 0 or a 5 to be divisible by 5.
This means the number needs to end with the 0 so cross out the last number (4)
Now find a sum of 5 remaining numbers divisible by 9.
5 + 1 + 4 + 8 + 0 = 18 which is divisible by 9
Cross out 9,7 and the last number 4 to get the number: 51480
If gasoline costs $ 4.01 per gallon when you pay with a credit card, but $ 0.05 per gallon less if you pay with cash, how much do you save by filling up a 13 -gallon tank and paying for it with cash?
Answer:
$0.65
Step-by-step explanation:
You can just do 0.05 * 13 to find the difference between the two prices.
Write the slope intercept form of the equation of each line.
1) The line through the point (4,2) and parallel to y+ -3/4x-5
Answer:
[tex]y = -\frac{3}{4}x + 5[/tex]
Step-by-step explanation:
Given equation y = -3/4x - 5
Step 1 : Find slope.
Since the lines are parallel to each other, the slopes are same.
[tex]therefore, m = \frac{-3}{4}[/tex]
Step 2 : Find the equation of the line.
[tex]( y - y_1) = m ( x - x_ 1) \ \ \ where \ x_ 1 = 4 \ and \ y_ 1 = 2[/tex]
[tex]( y - 2 ) = -\frac{3}{4}( x - 4)\\\\y - 2 = -\frac{3}{4}x + 3\\\\y = -\frac{3}{4}x + 3 + 2\\\\y = -\frac{3}{4}x + 5[/tex]
The strength of one's immune system can be evaluated in several ways. One of the most popular methods involves measuring the concentration of adenosine triphosphate (ATP) in the blood. In women, the mean blood ATP level is 390 ng/mL, and the standard deviation is 115 ng/mL. It has been hypothesized that women with Major Depressive Disorder (MDD) have decreased immune function. A recent study found that a random sample of 30 women with MDD had an average blood ATP level of 355 ng/mL. Using a one-sample z test, what is the p-value of this result? (HINT: This involves a one-tailed hypothesis test).
Answer:
Hence the value of p is 0.04746.
Step-by-step explanation:
The test statistic is
[tex]Z=(\bar x-\mu)/(s/vn)\\\\=(355-390)/(115/ \sqrt(30))\\\\=-1.667[/tex]
The p-value= P(Z<-1.67) =0.04746. (from standard distribution table)
Therefore p-value =0.04746.
In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home. Give the value of the standard error for the point estimate.
Answer:
The value of the standard error for the point estimate is of 0.0392.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes 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]
In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home.
This means that [tex]n = 100, p = \frac{81}{100} = 0.81[/tex]
Give the value of the standard error for the point estimate.
This is s. So
[tex]s = \sqrt{\frac{0.81*0.19}{100}} = 0.0392[/tex]
The value of the standard error for the point estimate is of 0.0392.
14. 14. If f(x)= sec^2x, thenf'(x)=
Answer:
1 (2) f(x) = 1 (3) 1< f(x) < 2 (4) f(x) greater than or equal to 2
Step-by-step explanation:
We know AM ≥ GM
(cos2x+sec2x )/2 ≥ √(cos2x sec2x)
(cos2x+sec2x ) ≥ 2√(cos2x (1/cos2x)
f(x) ≥ 2
Hence option (4) is the answer.
Determine how much simple interest you would earn on the following investment:
$13,400 invested at a 6 1/2% interest rate for 4 years.
Answer: $3,484 (I hope this is the correct way to do it)
Step-by-step explanation:
The formula is: [tex]SI=\frac{PRT}{100}[/tex]
SI = simple interest P = principal amount = $13,400 R = interest rate (in percentage) = [tex]6\frac{1}{2}[/tex]% = 6.5% T = time duration (in years) = 4 years[tex]SI=\frac{13400*6.5*4}{100} =\frac{13400*26}{100} =\frac{348400}{100} =3484[/tex]
If you want to find the total amount, add the principle amount and the interest.
i need help solving this .
Answer:b
Step-by-step explanation:
Answer:
just be smart trust me u dont need us to give u the answer ur super smart
Step-by-step explanation:
make me brainliest to help people be encourage
Decreased by 0% is 800 ?
Find the negative reciprocal of the slope of the orginal line. Undefined
Answer:
800
Step-by-step explanation:
100%-0%=100%
100% is also equal to the number 1.
We now have 1x=800
Simplify that and get 800
For the following inequality, find a solution for the variable. Show all of your work and use complete sentences to explain the solving process that you used to find a solution for the inequality. Be sure to include at least two terms from the word bank. 1/4 x ≤-3
Answer:
x ≤ -12
Step-by-step explanation:
To get x by itself you simply multiply both sides by 4, since 1/4 * 4 = 1.
two angles are complementary. The measure of one angle is 15° more than one-half of the measure of the other. Find the measure of each angle.
Answer:
Step-by-step explanation:
First you have to know two definitions. Well, you only have to know one for this problem, but you should probably learn the 2nd just to be thorough.
Definition 1: Complementary angles are two angles whose sum is 90 degrees.
Definition 2: Supplementary angles are two angles whose sum is 180 degrees.
For this problem, we'll work with the definition that says two complementary angles have a sum of 90 degrees.
Soooo, here are the facts from your problem: if one angle is 15 degree more than 2 times the other.find the measure of two angles.
Let's let the larger angle equal this: 15 + 2(x) (<--See how it is 15 degrees MORE than 2 times the other?)
Let's let the smaller angle equal: x
SO now our total equation is:
15 + 2(x) + x = 90
3x + 15 = 90 (combined like terms)
3x = 75 (subtracted 15 from both sides)
x = 25 (divided both sides by 3)
Now we know that one angle is 25. The other angle must add to 25 to make 90 degrees, so 90 - 25 = 65.
Therefore, your two angles are 25 and 65 degrees.
Does this check out? Let's see...
First: 25 + 65 = 90 Therefore, this checks out.
Second: The angle that is 65 degrees must be 15 degrees more than twice the other. So, let's take twice the other...... 25 * 2 = 50. And, let's add 15....50 + 15 = 65. Therefore YES, the 2nd angle is 15 more than 2 times the angle that was 25 degrees.
I hope this is helpful. :-)
Which expression is equivalent to -28xy + 35y?
o 7y(-4xy + 5y)
O 7x{-4x+ 5y)
o 7xl-4y+54)
O 7y(-4x+5)
Answer:
[tex]-28xy+35y[/tex]
[tex]GCF ~is~ 7y[/tex]
[tex]=7y(-4+5)[/tex]
The equivalent expression: [tex]7y(-4x+5)[/tex]
-------------------------
hope it helps...
have a great day!!
1. 650 - 700 - 800 = ?
2. 25 - 45 + 23 ＝?
carry on learning
Answer:
- 850
3
Step-by-step explanation:
650 - 700 - 800
650 - 1500
- 850
25 - 45 + 23
- 20 + 23
3
Insert a digit in place of each “…” to make numbers that are divisible by 6 if it
is possible:
4…6
?
Answer: Either 2, 5, or 8
This means the number 426 is divisible by 6. So are 456 and 486
===============================================================
Explanation:
A number is divisible by 6 if both of the following are true
The number is divisible by 2The number is divisible by 3This is simply because 6 = 2*3. So if 6 is a factor of a number, then 2 and 3 must be factors.
To have 2 be a factor, the units digit must be in the set {0,2,4,6,8} which is the case here (the units digit is 6 in this case). Therefore we know the number is a multiple of 2 regardless of what the other digits are. To have 3 be a factor, the digits must add up to a multiple of 3. Through trial and error, we see that 0 doesn't work because 4+0+6 = 10 which is not a multiple of 3. Same goes for 4+1+6 = 11, but 4+2+6 = 12 is a multiple of 3.Therefore, 426 is a multiple of 6
Increment that middle digit 2 by 3 and we jump from 426 to 456. Those three digits add to a multiple of 3 as well (4+5+6 = 15). Following that line of logic, we go from 456 to 486 as the last possible three digit number that has these conditions of having 4 first and 6 last, and the number is a multiple of 6.
-------------------------------
In short,
The numbers 426 and 456 and 486 are all multiples of 6 since they are multiples of 2 and 3 at the same time.
So we could replace that middle digit with either 2, 5 or 8.
In a recent study of incomes in Wake county in North Carolina, it was found that the distribution of family incomes is skewed to the right (i.e., it has a long right tail). What can we say about the relationship between mean and median.
Answer:
The mean is to the right of the median
Step-by-step explanation:
Given
Skewed right distribution
Required
Relationship between the mean and the median
The question would be better answered if there are options available. Since there are none, I will provide a general answer/explanation.
For a distribution that is right skewed, the mean is always on the right side of the median.
Simplify -|-5 + 2|
someone help quick
Answer:
-3
Step-by-step explanation:
37. Two numbers are such that their
difference, their sum and their
product are in the ratio 1:7: 24.
Find the product of the
number.
Answer:
8 and 6
Step-by-step explanation:
Two numbers are such that their difference, their sum, and their product are to
each other as 1:7:24. Their product must equal what number?
:
Two numbers a & b
Let x = the multiplier
:
a - b = 1x
a + b = 7x
a * b = 24x
:
Add the 1st two equations
a - b = x
a + b = 7x
2a = 8x
a = 4x
or
x = .25a
:
a * b = 24x
Replace 24x; a = 4x therefore:
a * b = 6a
b = 6
;
Using the 1st equation
a - b = 1x
Replace b with 6 and x with .25a
a - 6 = .25a
a - .25a = 6
.75a = 6
a =
a = 8
:
Find the multiplier
a - b = x
8 - 6 = 2
:
Check this
a - b = 2 (1*2)
a + b = 14; (7*2)
a * b = 48: (24*2)
:
The numbers are 8 and 6; their products = 48
Find the scale ratio for the map described below.
1cm (map) 50km (actual)
The scale ratio is 1 to .....?
Answer:
50,000 : 0.01
multiply by 100...
5000000 : 1
1:5,000,000
Step-by-step explanation:
Please help me in this question
Answer:
3/8
Step-by-step explanation:
the total number of possible results is 4×4=16.
out of these 16 only the results
1 2
1 3
1 4
2 2
2 3
3 2
are desired results. these are 6.
so the probability of a desired result is 6/16 = 3/8
Is the distance a baseball travels in the air after being hit a discrete random variable, a continuous random variable, or not a random variable?
Answer: a continuous random variable
Step-by-step explanation:
Can you count the distance it traveled? You can't, so it couldn't be discrete because you can count discrete variables.
Can you measure the distance it traveled? You sure can, that makes it a continuous random variable.
Do you know the exact distance it's going to travel? You won't, therefore it's a random variable since you don't know the value beforehand.
Describe how the graph of y = |x - 2| - 5 is a transformation of the graph of y = |x|. Use terms such as "shifted", "reflected", "stretched", or "compressed".
Answer:
The original graph was shifted 2 units to the left and 5 units down.
Step-by-step explanation:
y = |x|
From this, we go to: y = |x - 2|.
When we want to shift a function f(x) a units to the left, we find f(x - a). So first, the graph was shifted 2 units to the left.
y = |x - 2|.
From this, we go to: y = |x - 2| - 5.
Shifting a function f(x) down b units is the same as finding f(x) - b, so the second transformation was shifting the graph 5 units down.