Answer:
x = -4
Step-by-step explanation:
3x - 6 = 8x + 14
-6 = 5x + 14
-20 = 5x
-4 = x
x = -4
A medical school claims that more than 28% of its students plan to go into general practice. To test this claim, a random sample of 130 of the school's students is selected. Of these, 32% of them plan to go into general practice. Find the P-value for this test of the school's claim.
Answer:
The p-value of the test is 0.1314.
Step-by-step explanation:
In this case we need to test the claim made by a medical school that more than 28% of its students plan to go into general practice.
The hypothesis can be defined as follows:
H₀: The proportion of students planning to go to general practice is 28%, i.e. p = 0.28.
Hₐ: The proportion of students planning to go to general practice is more than 28%, i.e. p > 0.28.
The information provided is:
n = 130
[tex]\hat p=0.32[/tex]
Compute the test statistic value as follows:
[tex]z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]=\frac{0.32-0.28}{\sqrt{\frac{0.28(1-0.28)}{130}}}\\\\=1.12[/tex]
The test statistic value is 1.12.
Compute the p-value as follows:
[tex]p-value=P(Z>1.12)\\[/tex]
[tex]=1-P(Z<1.12)\\\\=1-0.86864\\\\=0.13136\\\\\approx 0.1314[/tex]
The p-value of the test is 0.1314.
*Use the z-table.
When writing
the equation of a line in slope-intercept
form, how can you determine the value of
m in y = mx + b if you know the coordinates
of two points on the line?
Simplify the expression.
ky + y + y =
Answer:
ky + 2y
Step-by-step explanation:
ky + y + y
~Combine like terms
ky + 2y
Best of Luck!
Answer:
ky + 2y
Step-by-step explanation:
ky = ky (it stays the same)y + y = 2yPut them together: ky + 2yI hope this helps!
I WILL MAKE U BRAINLIEST PLZ HELP (Simplify. Enter the answer in the box.
[tex] \sqrt[3]{512} [/tex]
Answer:
It is 8
Step-by-step explanation:
The period of is....
If you are right I will mark you brainliest.
Answer:
π/4
Step-by-step explanation:
Help with this math please
Answer:
The answer is -20 .
Step-by-step explanation:
You have to substitute x = -4 into the function :
[tex]f(x) = 3x - 8[/tex]
[tex]f( - 4) = 3( - 4) - 8[/tex]
[tex]f( - 4) = - 20[/tex]
Answer:
Step-by-step explanation:
f(x) = 3x - 8
f(-4) = 3*(-4) - 8
f(-4) = -12 - 8
f(-4) = - 20
-20 is what goes in the box.
If (Triangle)ABC is similar to (Triangle)EDC, what is the value of x?
Answer:
37.5 (G)
Step-by-step explanation:
Set up a proportion:
[tex] \frac{40}{100} = \frac{15}{x} [/tex]
Next cross multiply
[tex](15)(100) = (40)(x)[/tex]
[tex]1500 = 40x[/tex]
Lastly solve for x by dividing both sides by 40
[tex]\frac{1500}{40} = \frac{40x}{40} [/tex]
[tex]x = 37.5[/tex]
Your friend has a mold that holds 3/4 of a cup of root beer if she has six cups of root beer how many popsicles can she make
Answer:
8
Step-by-step explanation:
If you turn 8 into a fraction you'll get 24 / 4
then you divide 24/4 by 3/4 you'll get 8
Answer:
Your friend can make 8 popsicles
Explanation:
Convert any mixed numbers to fractions. Then your initial equation becomes:
6/1 ÷ 3/4 = ?
Applying the fractions formula for division (flip the second fraction and multiply):
6/1 x 4/3 = 24/3
Simplify 24/3, the answer is:
8 popsicles
Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!
-Bee
What is 17/40 as a decimal
Answer: 0.425
Step-by-step explanation:
15% of students in class are left handed. If there are 6 students who are left handed how many students are in the class
Which number is rational?
v2
pi
v10
v16
Answer:The square root of 16 is rational.
Step-by-step explanation:
Pls Help - *Brainliest*
Answer:
A, B, E
Step-by-step explanation:
I hope this helps!!!
what is 1 3/8 divided by 1/2?
Answer:
2.75 or 2 3/4
Step-by-step explanation:
Answer:
11/4
Step-by-step explanation:
First start by writing the equation using only fractions:
11/8 / 1/2 =
Next, change the sign to multiplication by taking the reciprocal of the second number:
11/8 * 2 =
Then multiply the two numbers together:
22/8 =
And finally, simply the fraction:
11/4
A recipe calls for 5 cups of sugar for 30 servings . How many cups of sugar are needed to make 8 servings?
the equation Y=1 1/2X represents the number of cups of dried fruit, Y. needed to make X pounds of granola. Determine whether each point would be on the graph of this proportional relationship
(1 1/2,1) (4,6) (18,12) (0,0) (2 1/2. 3 3/4 )
Answer:
[tex]2.\ \ (4,6)[/tex]
[tex]4.\ \ (0,0)[/tex]
[tex]5.\ \ (2\frac{1}{2},3\frac{3}{4})[/tex]
Step-by-step explanation:
Given
[tex]y = 1\frac{1}{2}x[/tex]
Required
Determine if the given points is on the graph
First,, we rewrite [tex]y = 1\frac{1}{2}x[/tex] as
[tex]y = \frac{3}{2}x[/tex]
[tex]1.\ \ (1\frac{1}{2},1)[/tex]
This can be interpreted as:
[tex]x = 1\frac{1}{2}[/tex]
[tex]y = 1[/tex]
Substitute [tex]x = 1\frac{1}{2}[/tex]
[tex]y = \frac{3}{2} * 1\frac{1}{2}[/tex]
[tex]y = \frac{3}{2} * \frac{3}{2}[/tex]
[tex]y = \frac{9}{4}[/tex]
This isn't equal to the given value of y.
Hence: [tex](1\frac{1}{2},1)[/tex] is not a point on the graph
[tex]2.\ \ (4,6)[/tex]
Here,
[tex]x = 4[/tex]
[tex]y = 6[/tex]
Substitute [tex]x = 4[/tex]
[tex]y = \frac{3}{2} * 4[/tex]
[tex]y = \frac{3 * 4}{2}[/tex]
[tex]y = \frac{12}{2}[/tex]
[tex]y = 6[/tex]
This point is on the graph
[tex]3.\ \ (18,12)[/tex]
Here,
[tex]x = 18[/tex]
[tex]y = 12[/tex]
Substitute [tex]x = 18[/tex]
[tex]y = \frac{3}{2} * 18[/tex]
[tex]y = \frac{3 * 18}{2}[/tex]
[tex]y = \frac{54}{2}[/tex]
[tex]y = 27[/tex]
This isn't equal to the given value of y.
Hence: [tex](18,12)[/tex] is not a point on the graph
[tex]4.\ \ (0,0)[/tex]
Here, we have
[tex]x = 0[/tex]
[tex]y = 0[/tex]
Substitute [tex]x = 0[/tex]
[tex]y = \frac{3}{2} * 0[/tex]
[tex]y = 0[/tex]
Hence:
This point is on the graph
[tex]5.\ \ (2\frac{1}{2},3\frac{3}{4})[/tex]
Here
[tex]x =2\frac{1}{2}[/tex]
[tex]y = 3\frac{3}{4}[/tex]
Substitute [tex]x =2\frac{1}{2}[/tex]
[tex]y = \frac{3}{2} * 2\frac{1}{2}[/tex]
[tex]y = \frac{3}{2} * \frac{5}{2}[/tex]
[tex]y = \frac{15}{4}[/tex]
[tex]y = 3\frac{3}{4}[/tex]
Hence:
This point is on the graph
Jorge wants to buy a shirt for $35. How much will Jorge’s shirt cost in Fresno? Here is the percent in the picture
!!20 points!!Choose the answer that best represents the situation described below.
John takes a job after school to earn money to buy a surfboard. He knows
that the more hours he works, the more money he will make.
A. The amount of money John makes is a function of the number of
hours he works.
B. The number of hours John works is a function of the amount of
money he makes
C. John's job is a function of his interest in surfing.
Answer:
B
Step-by-step explanation:
Answer:
A. The amount of money he makes is a function
my recipe for apple cider punch calls for 2 quarts of apple cider, three teaspoons of cinnamon, and one pint of lemon-lime soda. This will make enough for 8 people. in my neighborhood, there are 40 people. how much do I need of each ingredient for my neighborhood to share
✨Answer:✨
10 quarts of apple cider, 15 teaspoons of cinnamon, 5 pints of lemon lime soda.
✨Step-by-step explanation:✨
40 people in your neighborhood ÷ 8 people (how much 1 recipe can feed) = 5 punches so you can feed 40 people
2 quarts of apple cider x 5 = 10 quarts of apple cider
3 teaspoons of cinnamon x 5 = 15 teaspoons of cinnamon
1 pint of lemon-lime soda x 5 = 5 pints of lemon-lime soda
Tom works for a constant hourly wage of w dollars. Which answer shows the correct relationship between e Tom total earnings in a week and h the number of hours he worked during the week
Answer:
e = wh
Step-by-step explanation:
what is the value of x? exactly
Answer:
wouldn't it be 90 degrees?
Step-by-step explanation:
if anyone would help I would give you brainliest
Answer:
[tex]x = 14.[/tex]
Step-by-step explanation:
[tex]using \: the \: sum \: of \: angles : \\ (7x - 11) + (2x - 3 ) + (5x - 2) = 180 \\ 14x - 16 = 180 \\ 14x = 196 \\ x = 14[/tex]
Can someone please help asap
Answer:
h= 5hx4 c= 6cx4
Step-by-step explanation:
0.1 is 1/10 of what?
Answer:
1
Step-by-step explanation:
Find a radical expressions for the perimeter of the shaded triangle Simplify the expression.
Answer:20+4√17
Step-by-step explanation:
2 of 3 sides are 16 and 4 units . The angle between them is 90 degrees.
So we can find the length of the third side using Pitagor theorem.
c= SQRT( 16²+4²)= sqrt (256+16)= sqrt (272)
So the perimeter of the shaded triangle is equal to
P= 4+16+sqrt(272)=20+4√17
The radical expressions for the perimeter of the shaded triangle is 20 + 4√17
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have a rectangle shown in the picture with dimensions.
Using Pythagoras theorem;
The inclined length = √(4²+16²) = √272 = 4√17
The perimeter of the shaded region = 16 + 4 + 4√17
Perimeter = 20 + 4√17
Thus, the radical expressions for the perimeter of the shaded triangle is 20 + 4√17
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ2
ES
To rent a certain meeting room, a college charges a reservation fee of $39 and an additional fee of $5.70 per hour. The film club
wants to spend less than $67.50 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for t.
t<5
39 + 5.7t < 67.5
-39
5.7t < 28.5
divide by 5.7
t < 5
The amount of money deposited into an account in a given year is multiplied by a growth factor of x = 1 + r. $800 is
deposited at the start of the first year; an additional $300 is deposited at the start of the next year, and $625 at the start of
the following year. Write an expression that represents the amount of money in the account at the end of the three years.
Answer:
800(1 + r)³ + 300(1 + r)² + 625(1 + r)
Step-by-step explanation:
At the beginning of the first year $800 is deposited.
At the end of the first year the amount of money in account = $800 × growth factor = 800(1 + r)
At the beginning of the second year, $300 is deposited, the money in account = 800(1 + r) + 300
At the end of the second year the amount of money in account is multiplied by growth factor. = [800(1 + r) + 300] × 1 + r = 800(1 + r)² + 300(1 + r)
At the beginning of the third year, $625 is deposited, the money in account = 800(1 + r)² + 300(1 + r) + 625
At the end of third year the money = [800(1 + r)² + 300(1 + r) + 625] × 1 + r = 800(1 + r)³ + 300(1 + r)² + 625(1 + r)
Plzzz help this is a quick question
Answer:
Option 2
Step-by-step explanation:
Option 1 is wrong because:
-√16 = -4, therefore we can conclude -20.5 isn't greater than -√16
Option 3 is wrong because:
Using common knowledge, we know that π (pi) = 3.14159265...
What’s the total amount Janet has to repay after three years?
Answer:
What are the number to find the amount I thin you're missing information
Step-by-step explanation:
Answer:
2,315.25
Step-by-step explanation:
-10x + 35-37 OR 3x – 10 <-25
Answer:
3x – 10 < -25 → x < -5
-10x + 35-37 → -10x - 2
Plz mark brainliest:)
Brain weights are normally distibuted with mean 1400.48 grams and standard deviation 106.33 grams. Find the 80th percentile of this distribution.
Answer:
The 80th percentile of the distribution is 1,490.01 grams
Step-by-step explanation:
Here, we want to find the 80% of the distribution
80% means 80/100 = 0.8
We need to get the z-score equivalent to 80th percentile;
This is equal to 0.842
Mathematically;
z-score = (x - mean)/SD
we want to calculate x here;
0.842 = (x - 1400.48)/(106.33)
106.33(0.842) + 1400.48 = x
x = 1,490.00986 which is 1,490.01 grams to 2 decimal places
