Answer:
7 packages are available for Kevin
Robert works for Southern Consulting as a sales executive. He is paid a monthly salary of $3,350.00 plus a straight commission of 4.3% on all sales over $10,100.00. If he sells $15,300.00, what is his total gross pay for the month?
Answer:
$3,573.60
Step-by-step explanation:
.043 x (15300 - 10100) = 223.60
223.60 + 3350.00 = 3573.60
Please help ! Please help!
Answer:
113 degrees
its really hard to explain it on this app
help me please Graph y = - l x-4 l
Answer:
y= -41
Slope= -1
Step-by-step explanation:
On the Y-axis put a point on -41. After you did that do down one unit and right one unit. Repeat this step below the Y-axis. Above the Y-axis you do the opposite. Go up one unit and left one unit. Repeat this step above the Y-axis. Hope you understood me :)
In a large company, the proportion of employees who were promoted during the last year was 0.10. If 100
employees were chosen from this company randomly, what is the probability that at least 15 of them were
promoted during the last year?
O 0.5
O 0.4525
O 0.0475
O 0.9525
Answer:
0.0475
Step-by-step explanation:
We use the binomial approximation to the normal to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
In a large company, the proportion of employees who were promoted during the last year was 0.10.
This means that [tex]p = 0.1[/tex]
100 employees
This means that [tex]n = 100[/tex]
Mean and standard deviation:
[tex]\mu = E(X) = np = 100*0.1 = 10[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.1*0.9} = 3[/tex]
What is the probability that at least 15 of them were promoted during the last year?
This is [tex]P(X \geq 15)[/tex], which is 1 subtracted by the pvalue of Z when X = 15. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{15 - 10}{3}[/tex]
[tex]Z = 1.67[/tex]
[tex]Z = 1.67[/tex] has a pvalue of 0.9525
1 - 0.9525 = 0.0475.
0.0475 is the answer.
For the function f(x) = 3x + 2, find x such that f(x) = 14.
Answer:
x = 4
Step-by-step explanation:
To find x, plug in 14 into the function
f(x) = 3x + 2
14 = 3x + 2
Solve for x
14 = 3x + 2
12 = 3x
4 = x
So, the answer is x = 4
1
The graph of the linear function y = f(x)
passes through the points (1, 2) and
(5, -1). What is the rate of change of y
with respect to x?
4
A
с
3
4
3
3
B
mit
D
wie
4
Answer:
-3/4
Step-by-step explanation:
y2 - y1 divided by x2 - x1 so you would do 2 - (-1) divided by 1 - 5
simplified is
3 divided by -4 or just -3/4
The term-to-term rule of a sequence is
Add 8 and divide by 2
The first term of the sequence is -24
Work out the next two terms.
Answer: 8 x 24 divided by 2 and 8
Step-by-step explanation:
The number of microscopic organisms in a petri dish grows exponentially with time. The function P below models the number of organisms after growing t days in the petri dish. Based on the function, which of the following statements is true?
P(t) = 60(3)^t/2
A. the predicted number of organisms in the dish triples every two days
B. The predicted number of organisms in the dish doubles every three days
C. The predicted number of organisms in the dish triples every day
D. The predicted number of organisms in the dish doubles every day
Answer:
A
Step-by-step explanation:
Given
P(t) = 60 [tex](3)^{\frac{t}{2} }[/tex]
Then
P(1) = 60 × [tex]3^{\frac{1}{2} }[/tex] = 60[tex]\sqrt{3}[/tex]
P(2) = 60 × 3 = 180
P(3) = 60 × [tex]3^{\frac{3}{2} }[/tex] = 60 ×[tex]\sqrt{3^{3} }[/tex] = 60 × 3[tex]\sqrt{3}[/tex] = 180[tex]\sqrt{3}[/tex]
P(4) = 60 × 3² = 60 × 9 = 540
P(5) = 60 × [tex]3^{\frac{5}{2} }[/tex] = 60 × [tex]\sqrt{3^{5} }[/tex] = 60 × 9[tex]\sqrt{3}[/tex] = 540[tex]\sqrt{3}[/tex]
P(6) = 60 × 3³ = 60 × 27 = 1620
From these 6 results we see that
P(3) = 3 × P(1)
P(4) = 3 × P(2)
P(5) = 3 × P(3)
P(6) = 3 × P(4)
The predicted number of organisms triples every 2 days → A
An airplane can travel 380mph in still air. If it travels 3120 miles with the wind in the same length of time it travels 2960 miles against the wind, what is the speed of the wind?
Answer:
43
Step-by-step explanation:
If m R = 29, what is m O? The figure is not drawn to scale
A. 29
B. 61
C. 151
D. 58
write an ordered pair corresponding to the point
Answer: (3,-3)
Step-by-step explanation:
What’s the volume of this ? Guys please help I’ll mark you brainliest ! Be genuine !
Hi, check the comment. It is the answer. I wrote my own comment and rated myself 1.0 for no reason lol!! (Oh mah gawd I was joking this is not the answer, do NOT take this as your answer!
Answer:
256 m^3
Step-by-step explanation:
Area for 3d Trapezoid = 1/2x(a + b) * h
A = 1/2(10 + 22) * 16
A = 16 * 16
A = 256 m^3
Find the value of x.
6
14
3x-12
8
8
21
x = [?]
Answer:
Step-by-step explanation:
That line that separates the triangle vertically is an angle bisector. That creates a ratio between the resulting 2 triangles:
[tex]\frac{6}{3x-12} =\frac{14}{21}[/tex] and cross multiply:
14(3x - 12) = 21(6) and
42x - 168 = 126 and
42x = 294 and
x = 7
What is 5,421 rounded to the nearest hundred?
A.4,000
B.5,000
C.5,4000
D.5,200
Answer:
5,000
Step-by-step explanation:
it cant be 400 because the 4 in 5,421 is going to turn into a zero and everything behind that zero is a 0 as well and the thousand place is before the 0 so it stays the same
Which diagrams show XY tangent to circle C? Check all that apply
Answer:
middle and right pictures are correct answer
Step-by-step explanation:
answer attached
The Figure 2 and 3 shows that XY tangent to circle C.
What is Tangent on circle?Tangent is a line that touches the circle and passes through at a touching point.
Need to prove that xy is a tangent line on the circle.
The circle of radius r and center z.
Sine the tangent of the circle and radius of the circle meet at 90 degrees.
Hence, a right-angle triangle is formed so we can apply the Pythagoras theorem.
Here,
xz = 7 cm
xy = 10 cm
Then
10² = 7² + b²
b² = 100 - 49
b² = 51
Hence, the first one doesn't show the XY tangent to circle C.
Similalry for the rest two figures,
When a segment is tangent to a circle, it is perpendicular to the radius.
Therefore, Figure 2 and 3 shows that XY tangent to circle C.
More about Tangent link is given below.
brainly.com/question/1503247
#SPJ2
The red figure is congruent to the blue figure. Choose two different sequences of transformations in which the blue figure is the image of the red figure.
1. Rotate 90° counterclockwise about the origin and then translate 5 units left.
2. Reflect across the y-axis and then rotate clockwise 180° about the origin.
3. Rotate 180° about the origin.
4. Rotate 90° clockwise about the origin and then translate 1 unit right and 5 units up.
Answer:
1 and 4Step-by-step explanation:
1. Rotate 90° counterclockwise about the origin and then translate 5 units left.
Correct2. Reflect across the y-axis and then rotate clockwise 180° about the origin.
Incorrect, this ends up in the first quadrant, additional translation is required3. Rotate 180° about the origin.
Incorrect, additional translation is required followed by rotation.4. Rotate 90° clockwise about the origin and then translate 1 unit right and 5 units up.
CorrectYou fill a 100 mL graduated cylinder with 38.5 mL of water. What is the volume?
(pls help this assignment is due today)
Answer:
38.5cm³
Step-by-step explanation:
1ml = 1cm³
38.5ml = 38.5cm³
A public health researcher wishes to study the dietary behavior of residents in Durham County. The researcher randomly contacts 35 county residents and collects data on their daily sugar intake and obtained a sample average of 37.4 grams of sugar per day and a sample standard deviation of 4.2 grams per day. Assume the mean daily sugar intake of all residents in the county is normally distributed. Construct a lower bound for a 95% confidence interval for the mean daily sugar intake of residents in Durham County using this data. (Give your answer to 3 decimal places)
Answer:
95% confidence interval for the mean daily sugar intake of residents in Durham County using this data
(35.9573, 38.8427)
Lower limit = 35.9573
Step-by-step explanation:
Step(i):-
Given that the size of the sample 'n' = 35
Given that the mean of sample x⁻ = 37.4gms
Given that the standard deviation of the sample 'S' = 4.2 gms
Level of significance = 0.05
Degrees of freedom
γ = n-1 = 35-1 = 34
t₀.₀₅ = 2.0322
Step(ii):-
95% confidence interval for the mean daily sugar intake of residents in Durham County using this data
[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} } )[/tex]
[tex](37.4 - 2.0322 \frac{4.2}{\sqrt{35} } , 37.4 + 2.0322 \frac{4.2}{\sqrt{35} } )[/tex]
(37.4 - 1.4427 , 37.4+1.4427)
(35.9573, 38.8427)
Final answer:-
Lower 95% confidence interval for the mean daily sugar intake of residents in Durham County using this data
Lower limit = 35.9573
PLZ HELP ASAP I WILL MARK BRANLIEST!!!
Answer:
Top left
Step-by-step explanation:
It’s the only one with a data point very far from the rest
Answer:
its diff for all of is but it deff right
Step-by-step explanation:
k12 right
3. Determine the x-intercept and y-intercept for the equation containing the following ordered pairs:
(-10,-32) (-5, -24) (0, -16) (5,-8) (10,0)
Answer:
Step-by-step explanation:
X-intercepts are: (-10,-5,0,5,10)
Y-intercepts are: (-32,-24,-16,-8,0)
Select the correct answer from each drop-down menu. Graph the function . The vertex of the graph is at ___. The direction in which the graph opens is ___.
Answer:
The vertex of the graph is at (0,12)
The direction the graph opens is upward.
Step-by-step explanation:
Answer:
The vertex is (0,12)
The graph opens in a upward direction
Step-by-step explanation:
I got this correct on my test, hope this helped
How to Factor trinomials
PLEASE ANSWER ASAP!!11
Answer:
60.5
Step-by-step explanation:
assuming that each small squares is 1 × 1
[tex]\frac{1}{2} \times base \times height\\\\\frac{1}{2} \times 11 \times 11\\ \\\frac{121}{2}\\\\60.5 unit ^2[/tex]
Calculate (1/4)^4
A. 1/256
B. 1
C. 1/4
D. 1/16
Find the sum of the first 33 terms of the following series, to the nearest integer.
3, 9,15,...
Find 8 1/3% of 72.
Answer:
6
Step-by-step explanation:
8⅓% of 72
Change 8⅓% to an improper fraction, to get.
25/3% × 72
= (25/3)÷(100)×72
= (25/3)×(1/100)× 72
= (25/300) × 72
= 1800/300
= 6
The value of [tex]8\frac{1}{3}[/tex]% of 72 is 600.
Given that, [tex]8\frac{1}{3}[/tex]% of 72.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Now, [tex]8\frac{1}{3}[/tex]% of 72
25/3 × 72
= 25 × 24
= 600
Therefore, the value of [tex]8\frac{1}{3}[/tex]% of 72 is 600.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ2
find the area of the shade sector of the circle
Step-by-step explanation:
We need to find the area of the shaded region. We see that the region next to that has a central angle of 120°. Also we know that angle in a straight line is 180° . So the measure of central angle of that shaded region will be 180° - 120° = 60° . Now we can use the formula of area of sector to find out the area of the shaded region.
[tex]\tt\to Area = \dfrac{\Theta}{360^o}\times \pi r^2 \\\\\tt\to Area = \dfrac{60^o}{360^o}\times \pi (8cm)^2 \\\\\tt\to Area =\dfrac{\pi \times 64}{6}cm^2\\\\\to\boxed{\orange{\tt Area_{(Shaded)}= 10.66\pi cm^2}}[/tex]
Please help me answer ASAP!
Step-by-step explanation:
[tex]x = 10 \\ \\ y = 10 \sqrt{2} \\ \\ \cos(45) = \frac{ \sqrt{2} }{2} [/tex]
A toy car goes 120 meters in 1 minute. At this
rate, how many seconds will it take the car to go
360 meters?
Answer:
180 seconds
Step-by-step explanation:
1 minute = 60 seconds
120 * 3 = 360
60 * 3 = 180
The students put recycling bins in the teachers lounge at school at the end of the week there was a total of 48.9 pounds of cans and bottles they split them evenly into three bags how many pounds did each bag weigh
Answer:
16.3 pounds
Step-by-step explanation:
