Answer:
3. sin(43) = a/17
a = 17sin(43)
= 11.594
≈ 11.6
4. sin(35) = 6/b
b · sin(35) = 6
b = 6/sin(35)
= 10.46
If Volume of a Prism=36 m3
, then what is the volume of a pyramid?
V(volume of pyramid) = ⅓ x V(volume of prism)
V(pyramid) = 1 x 36 m³/3V(pyramid) = 12 m³___________________________
And, to get the volume of prism, simply multiply the volume of pyramid by 3.
if volume of pyramid=12m³, then volume of prism is 36 m³.
Solution;:
V(volime of prism) = V(volume of pyramid) x 3
V(prism) = 12m³ x 3V(prism) = 36 m³___________________________
Hence, there are 3 pyramids, and each pyramid has a volume of 12m³, these can exactly fit inside a prism with a volume of 36m³.
If you apply the changes below to the reciprocal parent function, F(x) =
what is the equation of the new function?
• Horizontally stretch by multiplying by 1/6
• Translate 5 units right.
Answer:
The answer is "Option B".
Step-by-step explanation:
Please find the complete question in the attached file.
The Horizontal stretch [tex]=(\frac{1}{6 \ x})\\\\[/tex]
Translation by 5 units right[tex]=( \frac{1}{6\ x})-5[/tex]
Answer:
its A i used his answer and got it wrong
An educator wants to determine whether early exposure to school will affect IQ. He enlists the aid of the parents of 12 pairs of preschool-age identical twins who agree to let their twins participate in this experiment. One member of each twin pair is enrolled in preschool for 2 years while the other member of each pair remains at home. At the end of the 2 years, the IQs of all the children are measured. The results follow.
IQ
Pair Twins at
preschool Twins at
home
1 109 116
2 122 119
3 110 106
4 119 115
5 114 118
6 112 103
7 128 125
8 114 116
9 108 107
10 117 123
11 117 116
12 106 104
Does early exposure to school affect IQ? Use α = 0.052 tail.
tobt =
x=ky a. if x=15 when y=14.find the value of k.. b..Find x when y=70 c...find y when x=45
Step-by-step explanation:
Given that,
a. x = 15 and y = 14
The equation is :
x = ky
or
[tex]k=\dfrac{x}{y}[/tex]
Put all the values,
[tex]k=\dfrac{15}{14}\\\\k=1.07[/tex]
b. Now, put y = 70 and k = 1.07.
x = 1.07×70
x = 74.9
c.
Put x = 45 and k = 1.07.
[tex]y=\dfrac{x}{k}\\\\y=\dfrac{45}{1.07}\\\\y=42.05[/tex]
Hence, this is the required solution.
Find the slope from the given equation. 9y = -3x + 5
Answer:
-3/9x
Step-by-step explanation:
You rearrange for 'y' so divide both sides by it's coefficient which is 9.
Answer:
The slope is -1/3
A museum conducts a survey of its visitors in order to assess the popularity of a device which
is used to provide information on the museum exhibits. The device will be withdrawn if fewer
than 20% of all of the museum’s visitors make use of it. Of a random sample of 100 visitors,
15 chose to use the device.
i. Carry out an appropriate hypothesis test at the 5% significance level to
see if the device should be withdrawn and state your conclusions.
ii. Calculate the p-value of the test
Answer:
i:
The appropriate null hypothesis is [tex]H_0: p \geq 0.2[/tex]
The appropriate alternative hypothesis is [tex]H_1: p < 0.2[/tex]
The p-value of the test is 0.1057 > 0.05, which means that there is not sufficient evidence that fewer than 20% of the museum visitors make use of the device, and so, it should not be withdrawn.
ii:
The p-value of the test is 0.1057
Step-by-step explanation:
Question i:
The device will be withdrawn if fewer than 20% of all of the museum’s visitors make use of it.
At the null hypothesis, we test if the proportion is of at least 20%, that is:
[tex]H_0: p \geq 0.2[/tex]
At the alternative hypothesis, we test if the proportion is less than 20%, that is:
[tex]H_1: p < 0.2[/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.
0.2 is tested at the null hypothesis:
This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2*0.8} = \sqrt{0.16} = 0.4[/tex].
The device will be withdrawn if fewer than 20% of all of the museum’s visitors make use of it. Of a random sample of 100 visitors, 15 chose to use the device.
This means that [tex]n = 100, X = \frac{15}{100} = 0.15[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.15 - 0.20}{\frac{0.4}{\sqrt{100}}}[/tex]
[tex]z = -1.25[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion below 0.15, which is the p-value of z = -1.25.
Looking at the z-table, z = -1.25 has a p-value of 0.1057.
The p-value of the test is 0.1057 > 0.05, which means that there is not sufficient evidence that fewer than 20% of the museum visitors make use of the device, and so, it should not be withdrawn.
Question ii:
The p-value of the test is 0.1057
Click on the solution set below until the correct one is displayed.
Answer:
You need to add the picture unless we cannot answer your question
Step-by-step explanation:
Please add the picture it would be very useful and essential to find the answer
Answer:
Add pictures plis
Step-by-step explanation:
Kathleen hiked to the top of a mountain. She started the hike at 7:25 A.M. It took 3 hours and 45 minutes to get to the top of the mountain and 1 hour and 30 minutes to hike back down. What time was it when Kathleen finished the hike?
Answer: 11:45 am
Step-by-step explanation:
10:15
toget back down 10
;15
please answer thank you
Answer:
37 / 16
Step-by-step explanation:
_____________________
PLEASE HELP! If there are 19 successful outcomes in a sample with a size of 25, what is the sample proportion? O A. 0.32 B. 0.96 O C. 0.76 D. 0.52 SUBMIT
Answer:
0.76
Step-by-step explanation:0.76
Which is a stretch of an exponential decay function?
f(x)=4/5(5/4)x
f(x)=4/5(4/5)x
f(x)=5/4(4/5)x
f(x)=5/4(5/4)x
Evaluate u + xy, for u = 20, x = 5, and y = 7.
Answer:
55
Step-by-step explanation:
u + xy, for u = 20, x = 5, and y = 7
u + xy = 20 + 5 * 7 = 20 + 35 = 55
Step-by-step explanation:
hear is your please check attachment
play help me on this
Answer:
8n+10
Step-by-step explanation:
gimmi brainiest answer or me no give cookie
Which of the following statements is true for ∠a and ∠b in the diagram?
Step-by-step explanation:
a and b are corresponding angles
help urgent please
the graphs below have the same shape. what is the equation of the blue graph?
no links please
Answer:
D
Step-by-step explanation:
If you add or subtract three outside of the exponent (ex: x^2 + 3), then the parabola moves up and down.
If you add or subtract the number inside the exponent (ex: (x+3)^2), then the parabola moves side to side.
If you add three, the parabola moves left.
Thus, the answer is D.
Plzzz someone help me , ur flippin amazing if u help me :)
Answer:
C ................................. I think
(x^2+2x-1)+(2x^2 – 2x+1)
9514 1404 393
Answer:
3x^2
Step-by-step explanation:
Add coefficients of like terms.
(x^2 +2x -1) +(2x^2 -2x +1)
= (1 +2)x^2 +(2 -2)x +(-1 +1)
= 3x^2 +0x +0
= 3x^2
Answer:
3x^2
Step-by-step explanation:
(x^2+2x−1)+(2x^2−2x+1)
Combine x^2 and 2x^2 to get 3x^2.
3x^2+2x−1−2x+1
Combine 2x and −2x to get 0.
3x ^2−1+1
Add −1 and 1 to get 0.
3x^2
help me out pleaseeee
Answer:
The correct option is (b).
Step-by-step explanation:
The solution of the given polynomial is :
[tex](-\dfrac{1}{3},4)[/tex]
x = 1/3 and y = -4
i.e.
Sum of roots = (1/3-4) = -11/3
Product of roots = (1/3)(-4) = -4/3
The quadratic equation is as follows :
[tex]x^2+(\text{sum of roots})x+\text{Product of roots}=0[/tex]
Put all the values,
[tex]x^2+\dfrac{-11}{3}x+\dfrac{-4}{3}=0\\\\3x^2-11x-4=0[/tex]
So, the correct option is (b).
A grocery store recently sold 6 cartons of vanilla yogurt and 12 other cartons of yogurt . Based on past data, how many of the next 48 cartons of yogurt sold should you expect to be vanilla?
Answer:
if following simple addition/multiplication, the answer should be 12 cartons of vanilla.
round 5763 to the nearest hundred
Answer:
[tex]5800[/tex]
Step-by-step explanation:
Hope it is helpful...
Answer:
5800
Step-by-step explanation:
5763
7 is in the hundreds place
We look at the tens place to determine how to round
If the tens place is 5 or above we round up, if it is 4 or less- leave it alone
Since 6 is 5 or above, we round the 7 up
5763 rounds to 5800
9 sprinters have made it to the Olympic finals in the 100-meter race. In how many different ways can the
gold, silver, and bronze medals be awarded?
Answer:
in three different ways the first one gets a gold one the other 4 printers get silver n the last 4 printers get bronze.
Can anyone please help me with this ? Thanks 2.5m = 75
2.5m = 75
To find m divide both sides by 2.5:
M = 75/2.5
M = 30
Answer:
m = 30
Step-by-step explanation:
2.5 m = 75
To find m divide 75 by 25
m = 75 / 2.5
m = 30
Please help me, this is PEDMAS
Answer:
1). 183
2). 83
3). 353
4). -2652
5). 59
6). 510
7). -293
8). 79
9). 78
10). 87
Step-by-step explanation:
Considering order of operation, parenthesis must be simplified first.
The solutions to the given questions are shown below;
[tex]1). \ \ 5+(7\times (3+2)^2) + 3=8 + (7\times (5)^2) = 8 + (7\times 25) = 8 + 175 = 183[/tex]
[tex]2). \ 16+(8+ (6+2)^2) - 5=16-5 + (8+ (8)^2) = 11 + (8+64) = 11 + 72 = 83[/tex]
[tex]3). \ (15+ 3)^2 + ((14+6)+3^2)= (18)^2 + ((20) + 9) = 324 + (29) = 353[/tex]
[tex]4). \ ((11+ 2)-(24+2)^2)\times 2^2 = (13 - 676) \times 4 = (-663)\times 4 = -2652[/tex]
[tex]5). \ ((4+3)^2+ 6) -5+3^2= (49 + 6) - 5 + 9= (49+6+9) - 5 = 64-5 = 59[/tex]
[tex]6). \ (20+ 2)^2 +((15+7)+2^2)= (484) + (22+ 4)= 484 + 26 =510[/tex]
[tex]7). \ ((12 + 4)- (15+3)^2+ 5^2 = (16 - 324) + 25 = -318 + 25 = -293[/tex]
[tex]8). \ (6^2+ (24+ 3+5^2)) - 3^2= (36 + (52)) - 9 = (88) - 9 = 79[/tex]
[tex]9). \ ((10-4)^2\times 2) + 2 + 2^2= ((6)^2 \times 2) + 2 + 4 = (36\times 2)+ 6 = 72 + 6 = 78[/tex]
[tex]10). \ (7^2 + (16 + 8 + 2^2)) + 3^2 = (49 + 28) + 9 = 78 + 9 = 87[/tex]
area of a trapezium.
Answer:
Step-by-step explanation:
A= (a + b) * h/2
Answer:
what they said
Step-by-step explanation:
yeah what they said
someone please help! (listing BRAINLIST and giving points) :)
thx thx thx thx thx thx thx sa points sabi mo give away eh
I hope this is help full to you
i will mark brainliest
which statement best describes the are of Triangle ABC shown below?
A: it is going to have the area of a square of side lengths 6 units.
B it is twice the area of a square of side lengths 6 units.
C is one half the area of a rectangle with sides 6 units * 2 units.
Dit is twice the area of a rectangle with sides 6 units comes with two units.
9514 1404 393
Answer:
C is one half the area of a rectangle with sides 6 units * 2 units
Step-by-step explanation:
The area of any triangle is half the area of a rectangle of the same height and width. Here, the triangle has a width of 6 units and a height of 2 units. Its area is ...
one half the area of a rectangle with sides 6 units by 2 units
A pair of shoes that normally cost $24 is 25% off. what is the selling price of the jeans?
Answer:
The selling price of the shoe is $18
Step-by-step explanation:
Hey there!
According to the question, the normal cost price of pair of shoes is $24 (i.e $24 is MP= marked price).
Also, there is 25% off. (i.e discount)
Now,
SP (selling price) = MP - discount% of MP
or, SP = 24 - 25% of 24
or, SP= 24 - 6
Therefore, the SP of the shoes is $18.
Hope it helps!
$18
The answer is $18
Choose which two numbers the following will fall between: *
V156 PLEASE HELP ME FASTTTTT
[tex]\sf\purple{A.\:Between \:12\:and\:13.}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \sqrt{156} \\ = 12.4899 \\ = 12.49[/tex]
Therefore, [tex] \sqrt{156} [/tex] will fall in between 12 and 13.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
WILL MARK BRAINLEST!!!
find the domain and range of following
Answer:
{xcR} (x is all real numbers) and {y[tex]\leq[/tex]2[tex]\sqrt{\frac{y-1}{2} }[/tex]+1}
Step-by-step explanation:
1st: Find x by squaring both sides, subtracting 1 from both sides, and dividing by 2 from both sides to get x= [tex]\sqrt{\frac{y-1}{2} }[/tex]
2nd: Plug in x for y=[tex]2x^{2}[/tex]+1 which equals y=2([tex]\sqrt{\frac{y-1}{2} }[/tex])+1
3rd: This gives you the range (y) which is {y[tex]\leq[/tex]2[tex]\sqrt{\frac{y-1}{2} }[/tex]+1}
4th: domain is all real numbers
I hope this helped because this took me 30 minutes to do. I had to pull out my algebra math book to check I did it right. I hope I was right!
The distance that students drive to school is best modeled with a skewed right distribution that has a mean of 10 miles and a standard deviation of 2 miles. Suppose a sample of 100 students has been taken and the sample mean distance for the sample is calculated. Describe the shape of the sampling distribution of the sample mean
Answer:
The answer is "Approximately normal".
Step-by-step explanation:
sample size[tex]n=100[/tex]
Sample size [tex]n \geq 30[/tex]
It is because [tex]C \perp T[/tex] the sampling distribution of the sample means is approximately normal.