Answer:
$2091 (exact answer is $2090.80)
Step-by-step explanation:
2050 × 6.8% = 6.8
So, interest will add an extra $6.80 to his account
6.8 × 6 = 40.8
So, after 6 years, interest will make him an additional $40.80.
Add 40.80 to his original amount of money.
2050 + 40.8 = 2090.80
Round it up to the nearest dollar.
$2091
A researcher wished to compare the effect of two stepping heights (low and high) on heart rate in a step-aerobics workout. A collection of 50 adult volunteers was randomly divided into two groups of 25 subjects each. Group 1 did a standard step-aerobics workout at the low height. The mean heart rate at the end of the workout for the subjects in Group 1 was = 90.00 beats per minute with a standard deviation of = 9 beats per minute. Group 2 did the same workout but at the high step height. The mean heart rate at the end of the workout for the subjects in Group 2 was = 95.08 beats per minute with a standard deviation of = 12 beats per minute. Assume that two groups are independent and the data are approximately Normal. Let and represent the mean heart rates we would observe for the entire population represented by the volunteers, if all members of this population did the workout using the low or high step height, respectively. Suppose the researcher had wished to test the hypotheses and . The P-value for the test is (use conservative value for the degrees of freedom)
Answer:
The answer is "between 0.10 and 0.05".
Step-by-step explanation:
For sample 1:
[tex]n_1 = 25\\\\\bar{x_1} = 90.00\\\\ s_1 = 9\\\\[/tex]
For sample 2:
[tex]n_2 = 25\\\\ \bar{x_2} = 95.08\\\\ S_2 = 12\\\\[/tex]
Calculating the null and alternative hypotheses:
[tex]H_O : \mu_1 = \mu_2 \\\\ H_Q : \mu_1 <\mu_2[/tex]
Calculating the test statistic:
[tex]Z= \frac{90-95.08}{ \sqrt{\frac{9^2}{25}+\frac{12^2}{25}}} \\\\ =\frac{-5.08}{ \sqrt{\frac{81}{25}+\frac{144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{81+144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{225}{25}}}\\\\=\frac{-5.08}{ \frac{15}{5}}\\\\=\frac{-5.08}{3}\\\\= -1.693[/tex]
Calculating the conservative degrees of freedom:
[tex]DF = min (n_1 -1, n_2 - 1) = min(25-1, 25-1) = 24[/tex]
by using Excel the p-value for left tailed test and for test statistic will be [tex]-1.693[/tex] with [tex]DF = 24[/tex].
[tex]\to p-value = TDIST(1.693, 24, 1) = 0.0517\ \ \ \ i.e, \bold{0.05 < p-value < 0.10}[/tex]
Which triangle is NLM congruent to? Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
XYZ
Step-by-step explanation:
due to the angles being equivalent to eachother(NL angles being equal to XZ). The M and Y are equal to eachother.
Which statement is true? *
none of the other choices
sin 50° = cos 40°
sin 50° = tan 50°
sin 50° = tan 40°
sin 50° = cos 50°
Answer:
sin 50=cos 40 is true statement.
twenty and thirty-six thousandths in standards form
Answer:
twenty and thirty-six thousandths in standards form is 20.036
Answer:
20.006
Step-by-step explanation:
I think this is what you need but not a lot of info. sorry if it's not
Which of these is a trinomial?
A. 2x^3 – 7y^3
В. 5xy
C. 2x - 7
D. x + 2y^2-7
Answer:
D. x + 2y² - 7
Step-by-step explanation:
it because it has 3 terms
2 + 1.25f = 10 - 2.75f
Answer:
F=2
Step-by-step explanation:
1.25f+2.75f=10-2
calculate like terms
4f=8
divide
F=2
PLS HELP!!!!!
which polynomial is a perfect square trinomial?
A. 49x^2 - 28x + 16
B. 4a^2 - 20a + 25
C. 25b^2 - 20b - 16
D. 16x^2 - 24x - 9
Answer:
B
Step-by-step explanation:
We have to find which trinomial has:
1) two terms that are the perfect square of two numbers
2) a terms that is the double product of the two numbers
the first condition is satisfied by A and B, but only B satisfied the second., in fact the trinomial can be rewrite as: (2a-5)^2
Options C and D are traps because the square of a number can’t be negative
A bag contains colored marbles.
5 marbles are red.
3 marbles are green.
8 marbles are blue.
4 marbles are white.
A marble will be randomly selected from the bag. What is the probability that the marble selected will be blue?
A. 0.8
B. 0.5
C. 0.4
D. 0.2
A cone has a volume of 565.2 cubic millimeters and a radius of 6 millimeters. What is its
height?
Use I 3.14 and round your answer to the nearest hundredth.
Answer:
h = 15 mm
Step-by-step explanation:
Given that,
The volume of a cone, V = 565.2 cubic millimeters
The radius of the cone, r = 6 mm
We need to find its height. The formula for the volume of the cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]
Where
h is the height of the cone
[tex]h=\dfrac{3V}{\pi r^2}\\\\h=\dfrac{3\times 565.2 }{3.14 \times 6^2}\\\\h=15\ mm[/tex]
So, the height of the cone is equal to 15 mm.
Someone help me please extra points & brainlest!
Answer:
my best bet is d
Step-by-step explanation:
tell me if im wrong
Answer:
7x-11
Step-by-step explanation:
remove parentheses
4x-7+3x-4
group like terms
4x+3x-7-4
add similar elements
7x-7-4
then solve
7x-11
Translate the following sentence into an equation using n for the unknown number. Then solve for n.
when 15 is decreased by three times a number, the result is 21
a.
15 - 372 = 21
n = -2
b.
312 - 15 = 21
n = -2
C.
31 - 15 = 21
n = 12
d.
15 - 3n2 = 21
n-2
Given:
15 is decreased by three times a number, the result is 21.
To find:
The equation for the given statement and solve it.
Solution:
Let n be the unknown number. Then,
Three times of a number = [tex]3n[/tex]
15 is decreased by three times a number = [tex]15-3n[/tex]
It is given given that the result after subtraction is 21. So,
[tex]15-3n=21[/tex]
[tex]-3n=21-15[/tex]
[tex]-3n=6[/tex]
Divide both sides by -3.
[tex]n=\dfrac{6}{-3}[/tex]
[tex]n=-2[/tex]
Therefore, the required equation is [tex]15-3n=21[/tex] and its solution is [tex]n=-2[/tex]. Hence, the correct option is (a).
Answer:
a
Step-by-step explanation:
The following data table represents the total cost of a monthly cell phone bill as a function of the number of minutes that the phone is used each month.
The table shows that as more minutes are used each month, the total monthly cost will increase at the same rate. Assuming that this is true, what is the total monthly cost for the cell phone if it is used for 2,500 minutes?
If AC = 9 cm and tan ABC = 0.75, what is the length of BC?
Answer:
12 cm confirm ...................
From the concept of trigonometric ratios, we determine the length of the side BC is 6.75 cm.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, The length of the side AC = 9cm.
The measure of tan∠ABC = 0.75.
We know tan = opposite/adjacent.
Here, the opposite is AC and adjacent is BC.
Therefore, 0.75 = 9/BC.
BC = 9×0.75.
BC = 6.75.
learn more about trig ratios here :
https://brainly.com/question/14977354
#SPJ2
Solve the equation. 12x+3=51
[tex]12x + 3 = 51 \\ 12x = 48 \\ x = 4[/tex]
Answer:
= 4
Step-by-step explanation:
1 2 + 3 = 5 1
1 2 + 3 -3 = 5 1 − 3
i hope this helps<3
:)
Triangle ABC is similar to DEF. Which proportion can be used to find the length of DE in centimeters?
Answer:
[tex]\frac{DE}{4} = \frac{9}{3}[/tex]
[tex]DE = 12[/tex]
Step-by-step explanation:
Given
See attachment for triangles ABC and DEF
Required
The proportion to find DE
To solve for DE, we can make use of the following equivalent ratios;
[tex]AB:DE = BC:EF[/tex]
Substitute values for AB, BC and EF
[tex]4:DE = 3:9[/tex]
Express as fractions
[tex]\frac{DE}{4} = \frac{9}{3}[/tex]
The above is the proportion to solve for DE
Solving further:
[tex]\frac{DE}{4} = 3[/tex]
[tex]DE = 4 * 3[/tex]
[tex]DE = 12[/tex]
solve for X
7x=49 (brainliest)
Answer:
7
Step-by-step explanation:
divide 7 to both side
7x/7=49/7
x=7
why is the petrol price cheaper at coastal than inland
Answer: If a litre of fuel at the coast (95 octane) costs R13,89, then 38% is tax. The difference between inland and coastal fuel prices is mainly due to transport costs of the fuel from depots at the coat to inland outlets.
what can you conclude from the box-and-whisker plot?
Answer:
that it is a cat :')
Step-by-step explanation:
remember, whisker = cat
Molly earns $6 for each hour she babysits plus $10 to cover any personal
expenses. Suzie earns $4 for each hour she babysits plus $24 to cover
personal expenses. At a certain point, Molly and Suzie will work the same
number of hours and earn the same amount of money. At this point, how
much money will each girl earn?
A.$34
B.$44
C.$52
D.$62
Answer:
44
Step-by-step explanation:
Answer:
The answer is C or 52!!
Step-by-step explanation:
Brainliest Please!
What is the value of the flowers?
Answer:
24
Step-by-step explanation:
6*6=36
6+10=16
2*10=20
Flower=10-6+20=24
Write a short definition of "photosynthesis"
Answer:
Photosynthesis, the process by which green plants and certain other organisms transform light energy into chemical energy. During photosynthesis in green plants, light energy is captured and used to convert water, carbon dioxide, and minerals into oxygen and energy-rich organic compounds.
Step-by-step explanation:
I hope this helps if it does can i get brainlist
photosynthesis is a process that occurs in plants. it is used to convert sunlight into sugar for the plant in order to create chemical energy. this energy is used to help the plant make glucose ! hope this helped ♡
Akiko is making a pizza. The radius of the pizza is 19 inches. What is the circumference of the pizza (use 3.14 for pi and round to nearest tenth)?
Answer:
≈119.3
Step-by-step explanation:
The area for circumference is as follows:
[tex]C = 2\pi r\\or\\C = d\pi[/tex]
The above equations mean the same thing, because the diameter is just 2 times the radius.
Anyhow, we insert this value into the equation...
[tex]C = 2\pi(19)\\C = 38(3.14)\\C = 119.32\\[/tex]
This rounds to:
≈119.3
On one day a pet store sells 2 birds 6 gerbils 3 fish and 3 hamsters whats the data and relative frequency as a percent?
Answer:
Birds [tex]F_b=14.3\%[/tex]
Gerbils [tex]F_g=42.9\%[/tex]
Fish [tex]F_f=21.4\%[/tex]
Hamsters [tex]F_h=21.4\%[/tex]
Step-by-step explanation:
From the question we are told that:
Sales
Number of birds [tex]n_b=2[/tex]
Number of gerbils [tex]n_g=6[/tex]
Number of fish [tex]n_f=3[/tex]
Number of hamsters [tex]n_h=3[/tex]
Generally the frequency for birds [tex]F_b[/tex] is mathematically given b
[tex]F_b=\frac{n_b}{n}*100[/tex]
[tex]F_b=\frac{2}{14}*100[/tex]
[tex]F_b=14.3\%[/tex]
Generally the frequency for Gerbils [tex]F_g[/tex] is mathematically given b
[tex]F_g=\frac{n_g}{n}*100[/tex]
[tex]F_g=\frac{6}{14}*100[/tex]
[tex]F_g=42.9\%[/tex]
Generally the frequency for fish [tex]F_f[/tex] is mathematically given b
[tex]F_f=\frac{n_f}{n}*100[/tex]
[tex]F_f=\frac{3}{14}*100[/tex]
[tex]F_f=21.4\%[/tex]
Generally the frequency for fish [tex]F_h[/tex] is mathematically given b
[tex]F_h=\frac{n_h}{n}*100[/tex]
[tex]F_h=\frac{3}{14}*100[/tex]
[tex]F_h=21.4\%[/tex]
1/8 plus 1/4 equals.
Answer:
3/8
Step-by-step explanation
Please just use a calculator
Answer:
0.375
Step-by-step explanation:
i will mark brainliest if you’re correct!!!
The amount of fence Farmer Thomas needs around her vegetable garden can be modeled by the formula:
V = 8w + 3l
where V = the perimeter of the vegetable garden; w = the width; l = the length
Which formula best represents l in terms of w and V ?
A- l=v-8w-3
B- l=3v-8w
C- l=v-8w/3
D- l=v-8w+3
i need step by step answers
Convert the equation to Standard Form.
y=2(x+1)^(2) −4
Answer:
(-8x2-16x-8)
Step-by-step explanation:
y= (2x + 2)^2 (2 - 4)
y= (2x + 2)(2x + 2)(2 - 4)
y= −82−16−8
Please help with question please please
Answer:
B. 55+70<750
Step-by-step explanation:
What is the surface area of the rectangular pyramid
Answer:
88.8 cm square
Step-by-step explanation:
Phill thinks he had merited the angles blew correctly. Triangle placed on top of a straight line, 50 * at the top left of the triangle, 90 at the bottom left of the triangle, 40* at the bottom right
Solve 24=3r4. The solution is r=
what is the answer for this?
i tried 2 and it says wrong
Answer:
r=1.681793,−1.681793
Step-by-step explanation:
