Answer:
a,e
Step-by-step explanation:
let length=l
width=w
height=h
surface area=2(l+w)×h+2×l×w
=2[lh+wh+lw]
2(8×4+4×3+8×3)=2(32+12+24)=2×68=136<160
2(7×6+6×4+7×4)=2(42+24+28)=2×94=188>160
2(3×7+7×8+3×8)=2(21+56+24)=2(101)=202>160
2(3×6+6×7+3×7)=2(18+42+21)=2(81)=162>160
2(3×5+5×7+3×7)=2(15+35+21)=2(71)=154<160
Answer: 96ft., 126ft., or 105ft
Step-by-step explanation:
8ft×4ft×3ft=96ft
7ft×6ft×4ft=168ft
3ft×7ft×8ft=168ft
3ft×6ft×7ft=126ft
3ft×5ft×7ft=105ft
What is the solution of 4x > 36?
Answer:
x > 9
Step-by-step explanation:
Simply divide both sides by 4:
4x/4 > 36/4
x > 36/4
x > 9
━━━━━━━☆☆━━━━━━━
▹ Answer
x > 9
▹ Step-by-Step Explanation
4x > 36
--- --- → x > 9
4 4
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
a lorry is travelling at 13.5 m/s along a road whereto speed limit is 50km/h. She that the lorry is travelling below the speed limit
Answer:
First, convert 13.5 m/s to km/hr
13.5 x 3.6 = 48.6 km/hr
This is below the speed limit of 50 km/hr
Answer:
48600/hour × 1/1000= 48.6km/h
Step-by-step explanation:
Consider the following hypothesis test:
H0:μ=100
H2:μ≠100
A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = .05.
a. x = 103 and s = 11.5
b. x = 96.5 and s = 11.0
c. x = 102 and s = 10.5
Answer:
a. P-value = 0.039.
The null hypothesis is rejected.
At a significance level of 0.05, there is enough evidence to support the claim that the population mean significantly differs from 100.
b. P-value = 0.013.
The null hypothesis is rejected.
At a significance level of 0.05, there is enough evidence to support the claim that the population mean significantly differs from 100.
c. P-value = 0.130.
The null hypothesis failed to be rejected.
At a significance level of 0.05, there is not enough evidence to support the claim that the population mean significantly differs from 100.
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim is that the population mean significantly differs from 100.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu=100\\\\H_a:\mu\neq 100[/tex]
The significance level is 0.05.
The sample has a size n=65.
The degrees of freedom for this sample size are:
[tex]df=n-1=65-1=64[/tex]
a. The sample mean is M=103.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=11.5.
The estimated standard error of the mean is computed using the formula:
[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{11.5}{\sqrt{65}}=1.4264[/tex]
Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{103-100}{1.4264}=\dfrac{3}{1.4264}=2.103[/tex]
This test is a two-tailed test, with 64 degrees of freedom and t=2.103, so the P-value for this test is calculated as (using a t-table):
[tex]\text{P-value}=2\cdot P(t>2.103)=0.039[/tex]
As the P-value (0.039) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
At a significance level of 0.05, there is enough evidence to support the claim that the population mean significantly differs from 100.
b. The sample mean is M=96.5.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=11.
The estimated standard error of the mean is computed using the formula:
[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{11}{\sqrt{65}}=1.3644[/tex]
Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{96.5-100}{1.3644}=\dfrac{-3.5}{1.3644}=-2.565[/tex]
This test is a two-tailed test, with 64 degrees of freedom and t=-2.565, so the P-value for this test is calculated as (using a t-table):
[tex]\text{P-value}=2\cdot P(t<-2.565)=0.013[/tex]
As the P-value (0.013) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
At a significance level of 0.05, there is enough evidence to support the claim that the population mean significantly differs from 100.
c. The sample mean is M=102.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=10.5.
The estimated standard error of the mean is computed using the formula:
[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{10.5}{\sqrt{65}}=1.3024[/tex]
Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{102-100}{1.3024}=\dfrac{2}{1.3024}=1.536[/tex]
This test is a two-tailed test, with 64 degrees of freedom and t=1.536, so the P-value for this test is calculated as (using a t-table):
[tex]\text{P-value}=2\cdot P(t>1.536)=0.130[/tex]
As the P-value (0.13) is bigger than the significance level (0.05), the effect is not significant.
The null hypothesis failed to be rejected.
At a significance level of 0.05, there is not enough evidence to support the claim that the population mean significantly differs from 100.
Bags of sugar come in 3 sizes: Small bag: A 250 g bag costs 95p. Medium bag: A 500 g bag costs £1.80. Large bag: A 3 kg bag costs £3.70. Calculate the cost of 3 kg for the small and medium bags. Give your answer in pounds to 2 dp. (decimal places)
Answer:
see below
Step-by-step explanation:
Small bag
95p / 250 g * 12/12 to get to 3 kg = 1140 p / 3000g =11.40£s/ 3 kgs
Medium bag
1.8£ / 500 g * 6/6 to get to 3 kg = 10.8£ / 3000g =10.80£/ 3 kgs
Large bag
3.7£ / 3 kg *
Select all polynomials that are divisible by (x+3). Choose all that apply.
A) A(x) = x^3 + 4x^2 - 9
B) B(x) = x^3 - x^2 - 18
C) C(x) = x^3 - 6x - 9
D) D)(x) = x^3 + 3x + 3
Answer:
A)
Step-by-step explanation:
A) x^3+4x^2-9=(x+3)*(x^2+x-3)
B) Not divisible by (x+3) . Lets try to divide
x^3-x^2 -0*x-18 I: x+3
x^3+x^2 I x^2 -2x +6
-------------
-2*x^2-0*x
-2*x^2- 6*x
+ 6*x-18
+6*x+18
=36 - the rest of expression after dividing by x+3
=> x^3-x^2-18 is not divisible by (x+3)
Similarly to B ) C) and D) also are not divisible be (x+3)
It is thought that the front cover and the nature of the first question on mail surveys influence the response rate. An article tested this theory by experimenting with different cover designs. One cover was plain; the other used a picture of a skydiver. The researchers speculated that the return rate would be lower for the plain cover.
Cover Number Sent Number Returned
Plain 209 103
Skydiver 215 109
Does this data support the researchers' hypothesis? Test the relevant hypotheses using ? = 0.10 by first calculating a P-value.
State the relevant hypotheses. (Use p1 for the plain cover and p2 for the skydiver cover.)
H0: p1? p2 = 0
Ha: p1? p2 > 0H0: p1? p2 = 0
Ha: p1? p2 ? 0 H0: p1? p2 = 0
Ha: p1? p2? 0H0: p1? p2 = 0
Ha: p1? p2 < 0
Compute the test statistic value and find the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)
z =
P-value =
State the conclusion in the problem context.
Reject H0. The data does not suggest that the front cover and nature of the first question on mail surveys influence the response rate.Fail to reject H0. The data does not suggest that the front cover and nature of the first question on mail surveys influence the response rate. Reject H0. The data suggests that the front cover and nature of the first question on mail surveys does influence the response rate.Fail to reject H0. The data suggests that the front cover and nature of the first question on mail surveys does influence the response rate.
Answer:
The null and alternative hypothesis are:
[tex]H_0: \pi_1=\pi_2\\\\H_a:\pi_1\neq \pi_2[/tex]
Test statistic z = -0.29
P-value = 0.7709
Fail to reject H0. The data does not suggest that the front cover and nature of the first question on mail surveys influence the response rate.
Step-by-step explanation:
This is a hypothesis test for the difference between proportions.
The claim is that the return rate is different for the Plain cover and the Skydiver cover.
Then, the null and alternative hypothesis are:
[tex]H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0[/tex]
The significance level is 0.1.
The sample 1 (plain cover), of size n1=209 has a proportion of p1=0.493.
[tex]p_1=X_1/n_1=103/209=0.493[/tex]
The sample 2 (skydiver cover), of size n2=215 has a proportion of p2=0.507.
[tex]p_2=X_2/n_2=109/215=0.507[/tex]
The difference between proportions is (p1-p2)=-0.014.
[tex]p_d=p_1-p_2=0.493-0.507=-0.014[/tex]
The pooled proportion, needed to calculate the standard error, is:
[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{103+109}{209+215}=\dfrac{212}{424}=0.5[/tex]
The estimated standard error of the difference between means is computed using the formula:
[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.5*0.5}{209}+\dfrac{0.5*0.5}{215}}\\\\\\s_{p1-p2}=\sqrt{0.001196+0.001163}=\sqrt{0.002359}=0.049[/tex]
Then, we can calculate the z-statistic as:
[tex]z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.014-0}{0.049}=\dfrac{-0.014}{0.049}=-0.29[/tex]
This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):
[tex]\text{P-value}=2\cdot P(z<-0.29)=0.7709[/tex]
As the P-value (0.771) is bigger than the significance level (0.1), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the return rate is different for the Plain cover and the Skydiver cover.
what is the volume of a 1 by 2 by 3 box? Is it 6^3 or 216?
Answer:
[tex]6 \text{ unit}^3[/tex]
Step-by-step explanation:
[tex]\text{Volume}=\text{Base * Height * Depth}\\1*2*3=6\\\text{So neither of your options are correct.}[/tex]
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▹ Answer
6ft³
▹ Step-by-Step Explanation
Since we are using the measurement of cubic feet, the answer is always going to be (cf³) .
1 × 2 × 3 = 6
Cubic feet - 6 ft³
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Forrest buys some apples. The total cost is $3.20 and the cost of each apple is $0.40. How many apples does Forrest buy?
A) 7
B) 8
C) 9
D) 10
Answer:
b
Step-by-step explanation:
4(x+1)=16 HELP MEEEEEE
Answer:
4(x + 1) = 16
x + 1 = 4 (Divide equation by 4)
x = 3 (subtract 1)
Answer:
x = 3
Step-by-step explanation:
4(x + 1)=16
Expand the brackets.
4x + 4 = 16
Subtract 4 on both sides.
4x + 4 - 4 = 16 - 4
4x = 12
Divide both sides by 4.
4x/4 = 12/4
x = 3
Help!! Gotta turn this in soon!
Answer:
A and C (you marked it correct!)
Step-by-step explanation:
In geometric folding, a straight line becomes a crease or a fold. Therefore this means that shapes like arcs, curves, circles by using the compass. but you creat the straight line by measuring lengths of line segments by folding the paper and matching the endpoints.
So its A and C!
Evaluate the expression ( 1 + 2 i ) ( − 2 − 1 i ) and write the result in the form a + b i .
Answer:
- 5i.
Step-by-step explanation:
( 1 + 2 i ) ( − 2 − 1 i )
= 1 * -2 + 1*-1i + 2i*-2 - 2i*1i
= -2 - i - 4i - 2i^2 i^2 = -1 so we have:
-2 - 5i +2
= 0 - 5i
= -5i.
hey one more for my friend :)
Answer:
Third graph from the top
Step-by-step explanation:
A proportional relationship is a straight line that goes through the point (0,0)
Answer:
The third graphStep-by-step explanation:
The third straight graph, since a proportion is a relationship in which a second variable is changed by a same value all the time (linear).
Hope this helps, if not, tell me and I shall try again
Quadrilateral MATH is a parallelogram. The perimeter of MATH is _____. A. 60 m B. 66 m C. 200 m D. 260 m
Answer:
B.66
Step-by-step explanation:
Perimeter =2(base+side)
2 x (13+20) = 66
Answer:
B)
Step-by-step explanation:
Stacy goes to the county fair with her friends. The total cost of ride tickets is given by the equation c = 3.5t, where c is the total cost of tickets and t is the number of tickets. If Stacy bought 15 tickets, she would spend $
Answer:
She would spend $52.50.
Step-by-step explanation:
c = 3.5t
c = 3.5(15)
c = $52.50
Hope this helped! :)
Answer:
328.48
Step-by-step explanation:
Find the circumference of a circle with a radius of 15 centimeters. Round your answer to the nearest centimeter
Answer:
94 cm
Step-by-step explanation:
The formula for finding the circumference of a circle is;
Circumference = 2πr
where π = [tex]\frac{22}{7}[/tex] or 3.14 and
r = radius
Here radius is 15 cm so;
Circumference = [tex]2 * \frac{22}{7} * 15[/tex]
= [tex]\frac{660}{7}[/tex]cm
= 94.28cm
= 94 cm ( rounded to the nearest centimetre )
Help Please! First to answer will be marked as brainliest Find the solution to the system of equations. y=−5x+6 y=3x-2 x= y=
Answer:
y = 1 and x = 1
Step-by-step explanation:
We are given the equation y=−5x+6 and y=3x-2
because both of these equations have y on one side we can substitute the equation as
-5x+6 = 3x-2
(subtract 3x)
-8x+6 = -2
(subtract 6)
-8x = -8
(divide by -8)
x=1
Then all we need to do is put x into the equation
y=-5(1) +6
y = -5+6
y = 1
What is the range of the function y = RootIndex 3 StartRoot x + 8 EndRoot?
Answer:
It is A -∞ < x < ∞
m Step-by-step explanation: I hope i am not late.
A consumer electronics company is comparing the brightness of two different types of picture tubes for use in its television sets. Tube type A has mean brightness of 100 and standard deviation of 16, and tube type B has unknown mean brightness, but the standard deviation is assumed to be iden- tical to that for type A. A random sample of n = 25 tubes of each type is selected, and XB - Xis computed. If us equals or exceeds ua, the manufacturer would like to adopt type B for use. The observed difference is XB - XA = 3.5. What decis would you make, and why?
Answer:
________________________________________________
What is the average rate of change of the function over the interval x = 0 to x = 6? f(x)=2x−1 3x+5 Enter your answer, as a fraction, in the box.
Answer:
-11
Step-by-step explanation:
Our function is 2x-13x+5
2x-13x+5= -11x+5 F(0)= 5 and F(6)= -11*6+5 = -61 let m be the average change : m= (-61-5)/6= -11[tex](\sqrt{5})(\sqrt[3]{5})[/tex] answers [tex]6\frac{5}{6}\\5\frac{1}{6}\\5\frac{2}{3}\\5\frac{7}{6}[/tex]
Answer:
A : [tex]5^{\frac{5}{6} }[/tex]
Step-by-step explanation:
Because you're multiplying two numbers with the same base, you can add their exponents:
[tex]\sqrt{5} = 5^{\frac{1}{2} } = 5^{\frac{3}{6} } \\\sqrt[3]{5} =5^{\frac{1}{3} } = 5^{\frac{2}{6} }[/tex]
[tex]5^{\frac{3}{6} } * 5^{\frac{2}{6} } = 5^{\frac{5}{6} }[/tex]
2. Write an equation of a line in slope-intercept form
that passes through a point (4,-6) and has a slope of -3.
Answer:
y = -3x+6
Step-by-step explanation:
The slope intercept form of a line is given by
y = mx+b where m is the slope and b is the y intercept
y = -3x +b
Substitute the point into the equation
-6 = -3*4+b
-6 =-12+b
Add 12 to each side
-6+12 =-12+12+b
6=b
y = -3x+6
pls help me pls pls pls
Answer: 1x + 2y = 4
Step-by-step explanation:
The equation of the line is y = -1/2x + 2.
First, let's make 4 on one side of the equation. First, bring x to the left. y + 1/2x = 2. Then multiply the whole equation by two. Thus, 1x + 2y = 4.
Hope it helps <3
Use the sample data and confidence level given below to complete parts (a) through (d). A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4167 patients treated with the drug, 148 developed the adverse reaction of nausea. Construct a 95% confidence interval for the proportion of adverse reactions. a) Find the best point estimate of the population proportion p. nothing (Round to three decimal places as needed.)
Answer:
a) [tex]\hat p=\frac{148}{4167}=0.036[/tex]
b) [tex]0.0355 - 1.96\sqrt{\frac{0.036(1-0.036)}{4167}}=0.030[/tex]
[tex]0.0355 + 1.96\sqrt{\frac{0.036(1-0.036)}{4167}}=0.041[/tex]
Step-by-step explanation:
The sample proportion have the following distribution
[tex]\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})[/tex]
Part a
The estimated proportion for this case can be calculated like this:
[tex]\hat p=\frac{148}{4167}=0.036[/tex]
Part b
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. And the critical value would be given by:
[tex]z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96[/tex]
The confidence interval for the mean is given by the following formula:
[tex]\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]
Replacing we got:
[tex]0.0355 - 1.96\sqrt{\frac{0.036(1-0.036)}{4167}}=0.030[/tex]
[tex]0.0355 + 1.96\sqrt{\frac{0.036(1-0.036)}{4167}}=0.041[/tex]
According to the data given:
The best point estimate of the population proportion p is 0.036.The 95% confidence interval for the proportion of adverse reactions is (0.03, 0.042).In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
Out of 4167 patients treated with the drug, 148 developed the adverse reaction of nausea, hence:
[tex]n = 4167, \pi = \frac{148}{4167} = 0.036[/tex]
The best point estimate of the population proportion p is 0.036.
95% confidence level
So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.036 - 1.96\sqrt{\frac{0.036(0.964)}{4167}} = 0.03[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.036 + 1.96\sqrt{\frac{0.036(0.964)}{4167}} = 0.042[/tex]
The 95% confidence interval for the proportion of adverse reactions is (0.03, 0.042).
A similar problem is given at https://brainly.com/question/16807970
what is 0.625 as a fraction
Answer:
5/8
Step-by-step explanation:
.625 can equal 625/1000
and you can shrink the answer down with simplification.
cause you can divide both numerator and denominator by 5
625/1000 = 125/ 200
And we can divide both sides again by 5.
125/ 200 = 25/ 40
and we can divide both sides again by 5 once again.
25/ 40 = 5/ 8
need answer asap!!! pls help ?
Answer:
what is your problem
Step-by-step explanation:
7.The decimal expression for 5 rupees 5 paise is _______________________. ₹ 5.5 ₹ 5.005 ₹ 5.05 ₹ 55
Answer:
5.05 rupees
Step-by-step explanation:
Convert 5 paisa to rupees
100 paisa = 1 rupees
5/100 = 0.05
5 + 0.05 = 5.05 rupees
Which of the following are exterior angles? Check all that apply.
Answer:<5 and <4 are exterior angles
Step-by-step explanation:
Because they are the only ones outside it they are the only ones that are exterior angles!
<!> Brainliest is appreciated! <!>
Answer:
for AL Its 3 and 4
[tex](2 + 6)(2 + 3)[/tex]
Answer:
40 because (8)(5)=40 when you add the numbers inside the parenthesis
Step-by-step explanation:
Look at my picture for the written work for ANOTHER method
To solve this problem, you use the method called FOIL.
F= multiply the FIRST terms
O= multiply the OUTTER terms
I= multiply the INNER terms
L= multiply the LAST terms
Please rate this the brainlist if this helped, thanks!
Answer:
[tex]40[/tex]
Step-by-step explanation:
[tex](2+6)(2+3)[/tex]
Solve brackets.
[tex](8)(5)[/tex]
Multiply.
[tex]=40[/tex]
what is the answer to the problem i need help with?
Answer:
C
Step-by-step explanation:
Recall the equation for a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex], where the center is (h,k) and the radius is r.
The given equation is:
[tex](x+5)^2+(y+7)^2=21^2[/tex]
Another way to write this is:
[tex](x-(-5))^2+(y-(-7))^2=21^2[/tex]
Thus, we can see that h=-5 and k=-7.
The center is at (-5, -7).
how many are 5 x 5 ?