Answer:
A. On average the blood pressure levels before the stress reduction program were significantly higher than the systolic blood pressure levels after the stress reduction program, at 95% confidence level
Step-by-step explanation:
The confidence interval parameters is intended to detect if the new stress reduction program will lower the systolic blood pressure levels of employees
The difference between the the mean systolic blood pressure levels taken = The before systolic pressure - The after systolic blood pressure
The 95% confidence interval obtained = (5.6, 10.2)
Therefore, given that the values of the difference between the means are both positive, then there a difference as the confidence interval does not include zero (0), and at the 95% confidence level, the average systolic blood pressure levels before the stress reduction program are higher than the average systolic blood pressure levels after the program
Question 7 of 10
In the diagram below, AB is parallel to CD. What is the value of x?
120"
8
A. 80
B. 100
C. 60
D. 120
Learn with an example
A line that includes the point (1, 2) has a slope of 9. What is its equation in slope-intercept
form?
Answer:
y = 9x + (-7) should be the answer
Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer 45 minutes more than she plays golf.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Angela plays soccer (x) and the number of minutes she plays golf (y) every day. (5 points)
Part B: How much time does Angela spend playing golf every day? (3 points)
Part C: Is it possible for Angela to have spent 80 minutes playing soccer every day? Explain your reasoning. (2 points)
Answer:
Part A: x = y+45
Part B: 40 125-45 = 80, 80÷2 = 40
Part C: Yes, because 80+45 adds up to 125.
Hope this helps! :)
20 points and Brainliest !
Find the equation of the line with y-intercept 6 and slope -5/6 . What is the equation of the line in slope-intercept form?
Answer:
y = -5/6x + 6
Step-by-step explanation:
Slope intercept form is: y = mx + b
- where m is the slope
- where b is the y-intercept.
The problem already gives you the slope and y-intercept, so all you have to do is put it in for m and b respectively. Therefore, we have:
y = -5/6x + 6
Answer:
[tex]y = - \frac{5x}{6} + 6[/tex]
Step-by-step explanation:
1: Formulate equations/expressions:
[tex]based \: on \: the \: given \: conditions \: formulate[/tex]
[tex]m = - \frac{5}{6} \\ b = 6[/tex]
2: Write the equation:
[tex]write \: the \: equation \: of \: linear \: function[/tex]
[tex]y = mx + b[/tex]
3: substitute:
[tex]y = mx + b \\ m = - \frac{5}{6} \: b = 6 \\ y = - \frac{5}{6} x + 6[/tex]
4: rewrite the equation:
[tex]y = - \frac{5}{6} x + 6 \\ slope - intercept \: form \\ fin \: the \: required \: form: \\ y = - \frac{5x}{6} + 6[/tex]
Does it have a solution?
Answer:
It does since lets say X and Y equal 10 it works
Step-by-step explanation:
Factor this trinomial completely. 2x2 + 6x + 4 O
A. 2(x-2)(x + 1)
B. 2(x + 2)(x+1)
c. 2(x + 2)(x-1)
D. 2(x-2)(x - 1)
Answer:
B. 2(x+2)(x+1)
Step-by-step explanation:
[tex]\sf\purple{B. \:2(x + 2)(x+1) }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]2 {x}^{2} + 6x + 4[/tex]
Taking 2 as common factor, we have
[tex] = 2 \: ( {x}^{2} + 3x + 2) \\ =2 \: ( {x}^{2} + 2x + x + 2)[/tex]
Taking [tex]x[/tex] as common from first two terms and 1 from last two terms, we have
[tex] = 2 \:[x(x + 2) + 1(x + 2)][/tex]
Taking the factor [tex](x+2)[/tex] as common,
[tex] = 2(x + 2)(x + 1)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Slope intercept, only need help on number 3. HELP NEEDED ASAP, NO LINKS
Answer:
2) slope=2
y intervept=2
3) slope=1/2
y intercept=-6
4)slope=2
y intercept=4
Brainliest, 26 points
Jenna picked x amount of oranges. Josh picked twice as many oranges as Jenna, less 3. How many more oranges did Josh pick than Jenna?
3x -3
2x -3
x - 3
3x
Answer:
x - 3
Step-by-step explanation:
Jenna picked x.
Josh picked 2x - 3.
The difference is:
2x - 3 - x
which simplifies to
x - 3
Answer: x - 3
g(x)= -16x2 + 64x + 80 where x is the number of seconds after the rocket is launched. The function can also be written in factored form as g(x) = -16 (x + 1)(x - 5). What is the y-intercept of the function? What does it represent?
Answer:
y=80
Step-by-step explanation:
when solve y-intercept let x=0
y= -16(0)2+64(0)+80
y=0+0+80
y=80
(0;80)
Which two of the following mapping statements describe the same translation?
O 6.-9) - (0,1)
0 (-3,7) (-9,10)
(1, -5) (-5, -2)
(2, 4) + (-4,1)
Answer:
The mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.
Step-by-step explanation:
In a translation, we have that:
(x,y) -> (x+a,y+b)
In which a and b are how much the values change.
(6.-9) -> (0,1)
x subtracted by 6, y added by 10. So, the translation rule is:
(x,y) -> (x - 6, y + 10).
(-3,7) -> (-9,10)
x subtracted by 6, y added by 3. So
(x,y) -> (x - 6, y + 3).
(1, -5)-> (-5, -2)
x subtracted by 6, y added by 3. So
(x,y) -> (x - 6, y + 3)
Same rule as the above, so the mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.
(2, 4) -> (-4,1)
x subtracted by 6, y subtracted by 3. So
(x,y) -> (x - 6, y - 3)
if 1,a,5 and 15 are in proportion ,find the value of a
Answer:
a=3
Step-by-step explanation:
Given :
1:a :: 5: 15
To find a
a=15×1/5
a=3
Therefore, value of a =3
ha Dilruba Hai song Kisne gaya hai
The graph shown here is the graph of which of the following rational
functions?
FN
O A. F(x)
O B. F(x)
O C. F(x) =
Help
Answer:
I think it's option B ...
Answer:
A.) F(x)=1/x-5
Step-by-step explanation:
What is the solution to the system of equations
Answer:
(8,-9)
Step-by-step explanation:
solve the equation for x
x=13/5-3/5y
7x+8y=-16
substitute the given value of x into the equation 7x+8y= -16
7(13/5-3/5y)+8y= -16
solve the equation for y
7(13/5-3/5)+8y= -16
y= -9
substitute the given value of y into the equation x=13/5-3/5y
x=13/5-3/5x(-9)
solve for x
x=8
the ordered pair is (8,-9)
Answer:
The solution to this system of equations is x = 8, and y = -9
Step-by-step explanation:
Firstly we need to use the first equation to represent "x" in terms of "y", so we do the following...
[tex]5x + 3y = 13\\5x = 13 - 3y\\x = \frac{13}{5} - \frac{3}{5}y[/tex]
Now we take the second equation and replace "x" with an equal value in terms of "y" which we know from the previous equation, and just solve for "y".
[tex]7x + 8y = -16\\7(\frac{13}{5} -\frac{3}{5} y) + 8y = -16\\\\18\frac{1}{5} - 4\frac{1}{5} y + 8y = -16\\\\3\frac{4}{5}y = -34\frac{1}{5} \\\\y = -34\frac{1}{5} / 3\frac{4}{5} \\y = -9[/tex]
After we found the value of "y" we can find the value of "x" by using any of the two equations, we just have put "-9" instead of "y". For example...
[tex]5x + 3y = 13\\5x + 3(-9) = 13\\5x - 27 = 13\\5x = 13 + 27\\5x = 40\\x = 40 / 5\\x = 8[/tex]
Now we know that the solution to this system of equations is x = 8, and y = -9
. In Standard form 4 283.2 is written as A. 4.2832 x 10-3 B. 4.2832 X 10-1 C. 2832 x 10-2 D. 2832 x 103
is this an expression or an equation? 4a + 3b-6cx9
Answer:
Expression
Step-by-step explanation:
Given expression :
4a+3b-6cx9
So this is expression not equation because equation consist zero on the righ side
Example: ax+b=0 (This is equation )
And
ax+b (This is expression)
What are the challenges of similar triangles?
Answer:
There are two types of similar triangle problems; these are problems that require you to prove whether a given set of triangles are similar and those that require you to calculate the missing angles and side lengths of similar triangles. Subtract both sides by 130°. Hence; By Angle-Angle (AA) rule, ΔPQR~ΔXYZ.
Step-by-step explanation:
Match the rates with their equivalent unit rates. Match the rates with their equivalent unit rates. arrowRight arrowRight arrowRight arrowRight arrowRight arrowRight arrowRight arrowRight arrowRight arrowRight
Answer:
[tex]\frac{47}{2} \to 6[/tex]
[tex]\frac{60}{12} \to 5[/tex]
[tex]\frac{40}{10} \to 4[/tex]
[tex]\frac{56}{8} \to 7[/tex]
[tex]\frac{64}{8} \to 8[/tex]
Step-by-step explanation:
Given
See attachment
Required
Complete the blanks
To do this, we simply carry out the division operation.
So, we have:
[tex]\frac{47}{2} \to 6[/tex]
[tex]\frac{60}{12} \to 5[/tex]
[tex]\frac{40}{10} \to 4[/tex]
[tex]\frac{56}{8} \to 7[/tex]
[tex]\frac{64}{8} \to 8[/tex]
The rates of the given equivalent unit rates are properly matched as follows:
42/7 = 6
60/12 = 5
40/10 = 4
56/8 = 7
64/8 = 8
How to find Unit RateTo find the unit rate, the numerator is divided by the denominator such that the denominator is reduced to 1.
Thus, let's find the unit rates that matches with the equivalent rates given (see attachment below).
Divide the numerators by the denominators such that the value of the denominators are reduced to 1.
42/7 = 660/12 = 540/10 = 456/8 = 764/8 = 8Learn more about unit rate on:
https://brainly.com/question/18296886
hey again, could you help me with this and explain? thank you
Answer:
option 2
in the first equation y is greater than so it would be shaded above the line and in the second equation y is less than so it would be shaded below the line
Step-by-step explanation:
f(x) = x +1 and g(x) = {1/2x - 4. Which of the following is equal to g(f (2))?
A. -2
B. -5/2
C. 1/2x - 7/2
D. X - 7/2
-
if sin a=4 by 5,determine cos a
Answer:
3/5
Step-by-step explanation:
[tex]Sin A = \frac{4}{5}=\frac{oppsite side}{hypotenuse}[/tex]
Adjacent side² = hypotenuse² - opposite side²
= 5² - 4²
= 25 - 16
= 9
Adjacent side = √9 = 3
Cos A = [tex]\frac{Adjacent side}{hypotenuse} = \frac{3}{5}[/tex]
Sin = 4/5 = Perpendicular/hypotenuse
CosA = Base/hypotenuse
Base = √hyp. ^- prep.^
Base= 3/5
May it helps youFind the common ratio of the geometric sequence -13, 117, -1053,...
Answer:
-9
Step-by-step explanation:
Find the common ratio by dividing one of the numbers in the sequence by the previous number:
117/-13
= -9
So, the common ratio is -9.
ACTUALLY ANSWER FULLY OR U WIL BE REPORTED Help pls I do need it
Answer:
125 people
Step-by-step explanation:
P( green) = number of green / total
= 25/120
=5/24
Multiply this probability by 600
5/24 * 600 =125
Answer:
out of 120 people 25 people has chosen green
out of 1 people green will be chosen by 25/120 people
out of 600 people green colour will be chosen by( 25/120)×600 people =25×5=people
Eight cards are labeled with numbers 2,3,4,5,7,9,10,11 respectively. One card is selected. What is the probability that the card is a prime number?
Answer:
62.5
Step-by-step explanation:
Because there are 5 prime numbers so you have to divide 100 by 8 and then multiply by 5 so the answer is 62.5
Help pls pls pls pls
Answer:
(C).
[tex]height = \sqrt{ {29}^{2} - {21}^{2} } \\ = \sqrt{400} \\ = 20 \: units[/tex]
Given that ABCD is a rhombus, what is the value of X?
Answer:
3
Step-by-step explanation:
x=(5x-13)
so you work that equation out
take the 5x to the side of x and equate it to what you get
x=5x-13
5x+x=13+5
6x = 18 = x=3
6 6
x=3
-1/2(-3/2x + 6x + 1) - 3x what is the equivalent expression
Answer:
Step-by-step explanation:
Apply the Distributive Property of Multiplication. Multiply each of the three terms inside parentheses by -(1/2):
(3/4)x - 3x - (1/2) - 3x, or
(3/4)x - 6x - 1/2
The first two terms can be combined, to obtain:
(-5 1/4)x - 1/2, or (-21/4)x - 1/2
1hr left on this test so confused
Which statement is true regarding the functions on the
graph?
Of(-3) = g(-4)
Of(-4)= (-3)
f(-3) = g(-3)
f(-4) = g(-4)
f(-3)=g(-4) 123456789012345
PLEASE ANSWER ASAP!!!
Answer:
False
Step-by-step explanation:
Step-by-step explanation:
YOU ARE CORRECT
[tex] {7}^{(1 \times 9)} = {7}^{5 + 5} \\ {7}^{9} \: \: \: \: \: \: \: \: \: \: \: {7}^{10} [/tex]
the equation is false
The amount of radium 226 remaining in a sample that originally contained A grams is approximately C(t) = A(0.999 567)t. Where t is time in years find the half-life to the nearest 100 years
Answer:
The half-life of the substance is of 1600 years.
Step-by-step explanation:
Amount of the substance:
The amount of the substance after t years is given by the following equation:
[tex]C(t) = A(0.999567)^t[/tex]
In which A is the initial amount.
Find the half-life:
This is t for which [tex]C(t) = 0.5A[/tex], that is, the amount is half the initial amount. So
[tex]C(t) = A(0.999567)^t[/tex]
[tex]0.5A = A(0.999567)^t[/tex]
[tex](0.999567)^t = 0.5[/tex]
[tex]\log{(0.999567)^t} = \log{0.5}[/tex]
[tex]t\log{0.999567} = \log{0.5}[/tex]
[tex]t = \frac{\log{0.5}}{\log{0.999567}}[/tex]
[tex]t = 1600[/tex]
The half-life of the substance is of 1600 years.