Answer:
Step-by-step explanation:
This is a linear equation with a y-intercept of 7
Slope of -2
Find the length of the third side. If necessary, round to the nearest tenth.
20
25
Answer:
15
Step-by-step explanation:
hypotenuse (h) = 25
perpendicular (p) = 20
base (b) = ?
we know by using Pythagoras theorem we get
b = √h² - p²
= √25² - 20²
= √225
= 15
Ben needs to read 450 pages of his book for school. If he has five days to finish, how many pages should he read each day?
Answer: 90
Step-by-step explanation:
450/5 or 450 divided by 5
you can work this out by figuring out 45/5 which is 9
so 450/5 equals 90
he should read 90 pages per day
Answer:
90
Step-by-step explanation:
Because if you divide the pages into the 5 day it would be 90
450 divide by 5 = 90
13. Randomly selected nonfatal occupational injuries and illnesses are categorized according to the day of week that they first occurred, and the results are listed below. Use a .05 significance level and that such injuries and illnesses occur with equal frequency on the weekend. State the null and alternative hypotheses, the pvalue, and conclusion. Day Fri Sat Sun Number 21 19 10
Answer:
Part A
The null hypothesis H₀; The injuries and illnesses have no relationship in the weekend
The alternative hypothesis Hₐ; The injuries and illnesses occur with equal frequency on the weekend
Part B
P-value from;
Tables, 0.1 < P([tex]\chi^2[/tex] < 4.12) < 0.9
Chi-square calculator, P([tex]\chi^2[/tex] < 4.12) = 0.87
Step-by-step explanation:
The given data is presented as follows;
[tex]\begin{array}{ccc}Day&&Number\\Fri&&21\\Sat&&19\\Sun&&10\end{array}[/tex]
The significance level, α = 0.05
Part A
The hypothesis is to test that the given injuries and illnesses occur with equal frequency of the weekend
The null hypothesis H₀; The injuries and illnesses have no relationship in the weekend
The alternative hypothesis Hₐ; The injuries and illnesses occur with equal frequency on the weekend
Let the expected frequency, each day of the weekend = (21 + 19 + 10)/3 = 50/3 = 16.[tex]\overline 6[/tex]
We get;
[tex]\begin{array}{ccc}Day & Observed \ Number& Expected \ Number \\Fri&21& 16.\overline 6\\Sat&19&16.\overline 6\\Sun&10&16.\overline 6\end{array}[/tex]
The chi-square test statistics
[tex]\chi^2[/tex] = (21 - 50/3)²/(50/3) + (19 - 50/3)²/(50/3) + (10 - 50/3)²/(50/3) = 4.12
The [tex]\chi^2_u[/tex] with (3 - 1) = 2 degrees of freedom = 5.991
The decision rule, [tex]\chi^2[/tex] > 5.991, we reject the null hypothesis
Given that we have [tex]\chi^2[/tex] = 4.12 < 5.991, we fail to reject H₀, therefore, there is not enough statistical evidence to suggest that the meal plan are related at α = 0.05
Part B
From the chi-square table, we have the p-value at 2 degrees of freedom for the test statistic of 4.12 is between 0.9 and 0.1
Using the chi-square calculator, we have;
P([tex]\chi^2[/tex] < 4.12) = 0.87.
Solve the equation 5x^2 - 2x - 9 = 0 using the quadratic formula. WILL MARK BRAINLIEST.
Answer:
[tex] x = \dfrac{1}{5} \pm \dfrac{\sqrt{46}}{5} [/tex]
Step-by-step explanation:
5x^2 - 2x - 9 = 0
a = 5; b = -2; c = -9
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] x = \dfrac{-(-2) \pm \sqrt{(-2)^2 - 4(5)(-9)}}{2(5)} [/tex]
[tex] x = \dfrac{2 \pm \sqrt{4 + 180}}{10} [/tex]
[tex] x = \dfrac{2 \pm \sqrt{184}}{10} [/tex]
[tex] x = \dfrac{2 \pm \sqrt{4 \times 46}}{10} [/tex]
[tex] x = \dfrac{2 \pm 2\sqrt{46}}{10} [/tex]
[tex] x = \dfrac{1 \pm \sqrt{46}}{5} [/tex]
[tex] x = \dfrac{1}{5} \pm \dfrac{\sqrt{46}}{5} [/tex]
Solve for X and Find AC
HELP!!! THIS IS DUE TODAY! I WILL MARK BRAINLIEST
A card is drawn from a standard deck of cards. What is the probability
that a spade is drawn, then replaced, and a red card is drawn second?
A card is drawn from a standard deck of cards. What is the probability that a spade is drawn, NOT replaced, and another spade is drawn?
Answer:
With replacement
[tex]probability \ of \ spade = \frac{13}{52} = \frac{1}{4} \\\\ probability \ of red\ card = \frac{26}{52} =\frac{1}{2}[/tex]
[tex]probability \ of \ spade \ then \ red\ card\ without\ replacement =[/tex][tex]\frac{1}{4} \times \frac{1}{2} = \frac{1}{8}[/tex]
Without replacement
[tex]probability \ of\ spade = \frac{13}{52} = \frac{1}{4} \\\\probability \ of \ spade\ again =\frac{12}{51} = \frac{4}{17}[/tex]
[tex]probability \ of \ spade \ then \ red\ card\ without\ replacement = \frac{1}{4} \times\frac{4}{17} =\frac{1}{17}[/tex]
What is the range of the function graphed below? PLS HURRRYYRR :)
I need help can you help me please
Find the mean of the data set below: 3, 7, 5, 13, 20, 23, 39, 23, 40, 23, 14, 12, 56, 23, 29.
Step-by-step explanation:
3+5+7+12+13+14+20+23+23+23+23+29+39+40+56=318
318/15=21.2
Answer:
hhhh
Step-by-step explanation:
In a group of 200 students, 75 are taking Geometry, 135 are taking IPC and 35 are taking both Geometry and IPC. If a student, chosen at random, is taking Geometry, what is the probability that he or she is taking IPC?
a) 0.175
b) 0.167
c) 0.259
d) 0.467
Cars are either race-car fast, slightly fast, or normal. It turns out that 10% of all cars are race-car fast, 40% are slightly fast, and 5% are normal. Of those that are race-car fast 70% are red, as are 45% of those that are slightly fast, and 30% of those that are normal. what is the probability that a randomly selected car is red given that it is normal?
Answer:
Probability = 37.5%
Step-by-step explanation:
Prob (Race fast) = 10%, Prob (Slight Fast) = 40%, Prob (Normal Car) = 50%
Prob (Red Car) = 70% of race fast cars, & 45% of slight fast cars, & 30% of Normal cars, & = (70% x 10%) + (45% x 40%) + (30% x 50%) = 7% + 18% + 15% = 40%
Prob (Normal & Red Car) = 30% of 50% = 15%
Prob (Red car I Normal car) = Prob (Red & Normal Car I Normal Car) = 15% / 40% = 37.5%
What model represents the expression
Answer:
A
Step-by-step explanation:
short cut, it has 5 dashes/ point markings
The amount of attendance at a dinner must go from being 57 people to 65 people. What is the percent of change
Answer:
4%
Step-by-step explanation:
James has decided to start saving for a cruise over the summer. His money is
currently in the local bank, modeled by the function s(x) = 102. He is able to do work
around the neighborhood to earn extra money and that function would be a(x) = 8
+ 2), where x is measured in hours. Explain to James how he can create a function
that combines the two, and describe any simplification that can be done.
EXPLAIN IN COMPLETE SENTENCES
Answer:
f(x)=8x +118
Step-by-step explanation:
Find the missing angle in this triangle
Answer: The 2nd one
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIESTTTT
Answer:
470 [tex]cm^{3}[/tex]
Step-by-step explanation:
8x9x10 = 720
5x5x10 = 250
720-420 = 470
Guided Practice
THE ANSWER IS NOT LETTER A
Write the equation in standard form using integers.
y = 4x – 7
A.
4x – y = –7
B.
4x + y = 7
C.
4x – y = 7
Answer:
C.
4x – y = 7
Step-by-step explanation:
Write in standard form.
4
x
−
y
=
7
y
=
4
x
−
7
The standard form of a linear equation is
A
x
+
B
y
=
C
.
Rewrite the equation with the sides flipped.
4
x
−
7
=
y
Move all terms containing variables to the left side of the equation.
Tap for more steps...
4
x
−
y
−
7
=
0
Add
7
to both sides of the equation.
4
x
−
y
=
7
variable
A letter used to represent a number value in an expression or an equation.
equation
A mathematical statement that says two expressions have the same value; any number sentence with an
=
.
The frequency of a radio wave varies inversely as its wavelength. If a 250-meter wave has a
frequency of 1,200 kilohertz, what is the wavelength of a wave that has a frequency of 6,000
kilohertz? Round your answer to the nearest meter
Answer:
50 m
Step-by-step explanation:
Do the following lengths form a right triangle? Show your work.
12
5
13
Please answer quick
Answer:
yes
Step-by-step explanation:
side 5 and side 12 where the angle is you can form a square in the corner
Andrew drives through 5 intersections with stoplights on his way to work. He
records that he is stopped by a red light in 2 of the 5 intersections. If he uses
this as his general probability of getting stopped at a red light on his way to or
from work, how many times can he expect to be stopped at a red light over the
next 40 times he drives through an intersection on his route?
Andrew should expect to be stopped
times.
Answer:
16 times
Step-by-step explanation:
2 out of 5 is 40%
40 x 40% = 16
Answer: 16 times
Step-by-step explanation:
i need help with this please
Answer:
650 cm²
Step-by-step explanation:
Use the formula 2(lw+wh+lh)
Plug in the stuff: 2(5*9+9*20+5*20)=2(45+180+100)=2(325)=650 cm²
And there you go!
Please mark brainliest!
Which expression is equivalent to 2-2 x 22?
Answer:
-42
Step-by-step explanation:
Following Order of Operations, we have to multiply before subtracting, so
[tex]2-2*22[/tex]
[tex]=2-44[/tex]
[tex]=-42[/tex]
Using order of operations, we get -42.
Sabrina babysits for young kids in her neighborhood. Last Friday night, she babysat one child for 2 hours and made $16. Tonight, she babysat one child for 6.5 hours and made $34. Determine and interpret the rate of change and initial value.
Help please. It’s geometry and it asks to find the shaded region.
Answer: (a)
Step-by-step explanation:
Given
The diameter of the inner circle is [tex]d=14\ m[/tex]
thickness of the strip is [tex]t=2\ m[/tex]
So, the radius of inner circle is [tex]r=7\ m[/tex]
Radius of the outer circle [tex]R=7+2=9\ m[/tex]
Area of the shaded region is the difference of the area of outer circle and inner circle.
[tex]\Rightarrow \pi R^2-\pi r^2\\\Rightarrow \pi (9^2-7^2)\\\Rightarrow 3.142\times 32\\\Rightarrow 100.5\ m^2[/tex]
hence, option (a) is correct.
Can someone help me with this? Right answer gets brainliest!! :)
Answer:
7 times (*) 8
Step-by-step explanation:
Product in this case means multiplication
Write the equation in standard form for the circle with radius 4 centered at the origin
Answer:
common form to write the equation of a circle in is the center-radius form. The center-radius form is: (x−h)2+(y−k)2=r2 Here, the center point is denoted by (h,k) and r is the radius of the circle. The first example he does is: Find the center and radius of the circle given by the equation (x−2)2+(y+4)2=25.
Answer:
x² + y² = 16
Step-by-step explanation:
We need to write the standard equation of circle with , centre (0,0) and radius 4 unit . The Standard equation of the circle ⭕ is ,
=> ( x - h)² + (y -k)² = r²
=> ( x -0)² + (y-0)² = 4²
=> x² + y² = 16 .
• Hence the equation of the circle is x² + y² = 16.
Can someone help on this?
Answer:
D
Step-by-step explanation:
p(x, y) reflection on y axis = p'(-x, y)
what percent does housing take up in this family budget of four
a.50%
b.18%
c.31%
d.45%
a new oven is $1,500. the sales tax is 6.2%. what is the total cost of the oven including sales tax.
a.1500
b.1593
c.1693
d.1893
Answer:
B
Step-by-step explanation:
Answer:
B.1593
Step-by-step explanation:
whats the angle? (:
not too sure about it
Answer:
I'm pretty sure it's a right angle.
Step-by-step explanation:
Answer
47
triangles add up to 180
180-43-90=47
please help me with this :)
Answer:
153.938 units². On Microsoft Edge they have a calculator specfically for surface area, volume, area, and more. Check it out.
Step-by-step explanation:
Answer:
i would believe it is 49 units2
Step-by-step explanation: