Answer:
The pvalue of the test is 0.3844 > 0.1, which means that there is not sufficient evidence at the 0.10 level to support the executive's claim
Step-by-step explanation:
A publisher reports that 35% of their readers own a laptop.
This means that the null hypothesis is:
[tex]H_0: p = 0.35[/tex]
A marketing executive wants to test the claim that the percentage is actually different from the reported percentage.
This means that the alternate hypothesis is:
[tex]H_{a}: p \neq 0.35[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.35 is tested at the null hypothesis:
This means that [tex]\mu = 0.35, \sigma = \sqrt{0.35*0.65}[/tex]
A random sample of 190 found that 32% of the readers owned a laptop.
This means that [tex]X = 0.32, n = 190[/tex]
Z-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.32 - 0.35}{\frac{\sqrt{0.35*0.65}}{\sqrt{190}}}[/tex]
[tex]z = -0.87[/tex]
pvalue of the test and decision:
As we are testing that the mean is different from a value and z is negative, the pvalue of the test is 2 multiplied by the pvalue of z = -0.87
Looking at the z-table, z = -0.87 has a pvalue of 0.1922
2*0.1922 = 0.3844
0.3844 > 0.1, which means that there is not sufficient evidence at the 0.10 level to support the executive's claim
the number of bacteria present in a culture after t minutes is given as b=10e
Answer:
Step-by-step explanation:
I have no clue I just need 5 pionts
Complete the transformations below.
Then enter the final coordinates of the figure.
A(-3,4)
B(1,2)
C(-2,1)
A'' (-6, [?])
B'' ([],[])
C"" ([],[]).
1) Reflect across X - axis
2 <1, -3>
3) Dilate K = 3
Answer:
B'''(6, -15), C'''(-3, -12)
Step-by-step explanation:
For point B,
[tex]B(1,\,2) \to B'(1,\,-2) \to B''(2,\,-5) \to B'''(6,\,-15)[/tex]
For point C,
[tex]C(-2,\,1) \to C'(-2,\,-1) \to C''(-1,\,-4) \to C'''(-3,\,-12)[/tex]
Reflecting a point across the x-axis: leave the x-coordinate the same; replace the y-coordinate with its opposite.
<1, -3> These are translations: add 1 to x, subtract 3 from y.
Dilate k=3: multiply both x and y by 3.
Question 1 (1 point)
Solve 5 - 2x < 7
Ox-12
0x<-1
Ox>-1
Ox>-12
C. X > -1
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
−2x + 5 < 7
Step 2: Subtract 5 from both sides.
−2x + 5 − 5 < 7 − 5
−2x<2
Step 3: Divide both sides by -2.
−2x/−2 < 2/−2
x > −1
Help me plz it’s important
1/2 log2x=3log23 rewrite with out using logarithmic
Answer:
729
Step-by-step explanation:
[tex]\frac{1}{2}log_{2}x=3log_{2}3 \\[/tex]
[tex]log_{2}\sqrt{x} =log_{2}3^{3}[/tex]
[tex]\sqrt{x} =27 \\[/tex]
x=27²=729
A shop is selling notebooks for £1.50 each. They have a buy one get one free offer on. How many notebooks can be brought for £22?
Answer:
28
Step-by-step explanation:
22÷1.50=14.6
=14
14×2=28
Help me & like actually answer instead of putting the link thing cause I don’t know how to do that lol please & thank you :)
Answer:
f(x) = 120+15x
Step-by-step explanation:
the constant is 120 because that is the money that he already has and is an unchanged quantity. for every week he gains $15. that means that he gains 15x after x weeks.
PLEASE HELP THIS IS DUE I HAVE BEEN TRYING AND DONT UNDERSTAND IT!!!!
Answer:
Step-by-step explanation:
Moving a coordinate left will subtract from the x coordinate (left 3 means subtract 3 from x coordinate)
Moving a coordinate right will add to the x coordinate (right 3 means add 3 to x coordinate)
Moving a coordinate down will subtract from the y coordinate (down 3 means subtract 3 from y coordinate)
Moving a coordinate up will add to the y coordinate (up 3 means add 3 to y coordinate)
Reflect means flip the sign of the corresponding coordinate
reflect over x axis flip the sign of x coordinate
reflect over y axis flip the sign of y coordinate
simplify 4 1/4 hours:45 minutes
Answer:
[tex]4\frac{1}{4}[/tex] hours : 45 minutes
[tex]4\frac{1}{4}[/tex] hours : [tex]\frac{3}{4}[/tex] hours
255 minutes : 45 minutes
Answer:
49 1/4
Step-by-step explanation:
4 1
4
+ 45
= (4 + 45) + (
1
4
+ 0 )
= 49 +
1
4
+ 0 × 4
= 49 +
1
4
+
0
4
= 49 +
1 + 0
4
= 49 +
1
4
=
49 1
4
what is 15 grams in mcg?
Answer:
15000000.00 mcg
Step-by-step explanation:
the more you take the more you leve behind
Answer:
Footsteps is the answer.
Hope it helps!!!
what are the importance of knowing the theorems on midline, trapezoid and kite
Answer:
It is important because it allows you to calculate the surface area of a trapezoidal prism
Step-by-step explanation:
Whats 9x6 pls helpppppllll
Answer:
54
Step-by-step explanation:
1895 x 7895+ 6575-1.753=?
Answer:
Step-by-step explanation:
1895 x 7895 + 6575 - 1.753
14961025 + 6575 - 1.753
14967600 - 1.753
14,967,598.247
how would you know if a polynomial is prime?
Order the numbers from least to greatest.
= –1.5
- (-2)
2.5
8/3
HELPP
Answer:
-1.5, -(-2), 2.5, 8/3
Step-by-step explanation:
pretty sure this is right
Help me out here.........
Answer:
G. 10.5 pounds
Step-by-step explanation:
96 oz + 72 oz = 168 oz
There are 16 oz in one pound
168 oz / 16 oz = 10.5 pounds.
Please be sure to mark this as brainliest if it helpd you!
Answer:
Step-by-step explanation:
Total ounces = 96 + 72 = 168 ounces
1 ounce =
0.0625 pound
168 ounces = 10.5 pound
Option G is the correct answer
Please help giviing brainliest!!!
Answer:
2 1/2 x 3 1/2 x 7 = 61 1/4
Convert the following fractions to decimals. 1/8 1/9 2/3 4/7 3/10 5/3 9/5 5/6
Answer:
1/8 = 0.125
1/9 = 0.1
2/3 = 0.6
4/7 = 0. 571428
3/10 = 0.3
5/3 = 1.6
9/5 = 1.8
5/6 = 0.83
Find a polynomial that has the given degree and zeros.
Degree 3 with -1, 3, and -5 as zeros
[tex]x^{3} + {?}x^{2} + {?}x + {?}[/tex]
You can write such a cubic polynomial in terms of its roots using the factor theorem:
(x - (-1)) (x - 3) (x - (-5)) = (x + 1) (x - 3) (x + 5)
Now just expand this:
(x + 1) (x - 3) (x + 5) = x ³ + (1 - 3 + 5) x ² + (-3 + 5 - 15) x - 15
… = x ³ + 3x ² - 13x - 15
select all expression that are equivalent to 64 2/3.
Answer:
Option B and DStep-by-step explanation:
As,
[tex] {64}^{ \frac{2}{3} } = {(\sqrt[3]{64})}^{2} = \sqrt[3]{ {64}^{2} } [/tex]
If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times
you will roll an odd number?
Answer:
I think 1
Step-by-step explanation:
Maybe not 100% $ure
Answer:3
because yeah that the answear and stuff
Value of X. Please give step by step so I understand
Answer:
The value of x is 15.
Step-by-step explanation:
Since the base is 40 inches long, and the two triangles are congruent - both are right triangles and have sides x and their bases equal - you know that each base of a triangle is 20 inches long. Using the Pythagorean Theorem, you can get that [tex]x^2+20^2=25^2[/tex]. Solve for x by isolating the variable on one side: [tex]x^{2} =25^{2} - 20^{2}[/tex] ⇒ [tex]x^{2} = 625 - 400[/tex] ⇒ [tex]x^{2} = 225[/tex] ⇒ [tex]x^{2} =225[/tex] ⇒ [tex]x=\sqrt{225}[/tex] ⇒ [tex]x=15[/tex] inches.
2 and 1/2 cups equal how many pints in fraction form
Answer:
1 1/2 pinyt
Step-by-step explanation:
Can someoneee please help me
9514 1404 393
Answer:
37°
Step-by-step explanation:
The diagonals of a rhombus are angle bisectors. Angle 1 matches the other half of angle L.
∠1 = 37°
__
Angle 2 is the complement, 53°, and angle 3 is the same as angle 2, 53°.
The diagonals of a rhombus are perpendicular bisectors of each other, so angle 4 is 90°.
I’ll give brainliest and a 100 points
Answer:
130.5ft²
Step-by-step explanation:
Hello There!
The figure shown is a composite figure ( so we can't find the area of it using one formula )
That being said we want to break the irregular figure into regular figures in which the area can simply be found using a formula
The figure would be broken in to the following shapes
A rectangle with a width of 4 ft and a length of 9 ft
A rectangle with a width of 8 ft and a length of 9 ft
A triangle with a height of 5 ft and a base of 9 ft
Now that we have broken the irregular figure into regular shapes we want to find the area of each individual shape
For the smaller rectangle:
The area of a rectangle can simply be calculated by multiplying the width and length
So A = 9 * 4
9 * 4 = 36
so the area of the smaller rectangle is 36ft²
For the larger rectangle
Once again the area can simply be found by multiplying the width and length
A = 8 * 9
8 * 9 = 72
so the area of the larger rectangle is 72ft²
For the triangle
To find the area of a triangle we want to use this formula
[tex]A = \frac{bh}{2}[/tex]
where b = base and h = height
We have already identified the base and height so all we have to do is plug in the values into the formula
[tex]A=\frac{5*9}{2} \\5*9=45\\\frac{45}{2} =22.5[/tex]
so the area of the triangle is 22.5ft²
Finally we add the areas of each regular figure
22.5 + 72 + 36 = 130.5
so we can conclude that the area of the composite figure is 130.5ft²
Help plss
2. This is Josh’s solution for the equation :
Is Josh’s solution correct? Explain.
Answer:
x = 7
Step-by-step explanation:
in Josh solution, the steps are correct till
(x-3)² = 16. After this
√(x-3)² = √16
x-3 = 4
x = 4+3 = 7
No, Josh is incorrect the roots of the quadratic equation are 19 & -13.
What is a quadratic equation ?An equation is quadratic in form if it can be written in the form of ax + bx + c = 0, where a, b, and c are constants and x is the variable.
Given that,
The quadratic equation,
x² - 6x - 7 = 0
we can calculate the roots of the equation by using the formula:
x = -b + √(b² - 4ac) / 2a
In the given equation,
a = 1
b = -6
c = -7
x = -(-6) + √((-6)² - 4x1x(-7)) / 2
= (6 + 8)/ 2
x = 7, -1
Hence, Josh's solution is not correct.
To know more about quadratic equation check:
https://brainly.com/question/30098550
#SPJ3
Solve each equation. If there is no solution, write no solution.
1. 161 = }
2. 10 = 1
3. Ini + 2 = 5
4. 4 = S - 3
5. x - 5 = -1
6. Zld= 49
7. Ir - 9] = -3
8. IC + 3 = 15
Which of the following angle pairs
are
NOT congruent?
Answer:
<2 and <8
Step-by-step explanation:
Can someone please help me? I need someone to answer and explain, I’ll reward points + brainalist (btw only need help with 13)
Answer: 5982
Step-by-step explanation:
The area of the rectangle is L*w so 100*50= 5000
the area of the semi-circle on top is
[tex]\frac{1}{2} \pi r^{2} \\\frac{1}{2} \pi 2^{2} \\\frac{1}{2} \pi 625\\\frac{1}{2} (1963.50)\\= 981.75[/tex]
Total area is 5000+981.75= 5981.75
round up to 5982