Harry is a builder.
He has to buy stones to cover part of a garden.
The part of the garden is triangular as shown in the
diagram
Harry knows that
5 bags of stones will cover an area of 4 m2
• a bag of stones costs £7.99
Work out the total cost of the bags of stones
Harry needs to buy
(5)
Write your answer in the box below.
£
£| I
SI
TH
Answer:
£39.95
Step-by-step explanation:
multiply it by £7.99×5
g Suppose the population 10-year cumulative incidence of prostate cancer among 70-year old men is 0.06. Further, suppose 260 men without prostate cancer, aged 50 years were randomly sampled and 13 of them developed prostate cancer within 10 years. Is there evidence at the 0.05 significance level to conclude that the cumulative incidence of prostate cancer among 50-year old men differs from that of 70-year old men
Answer:
There is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men
Step-by-step explanation:
The population 10 year cumulative incidence of prostrate cancer among 70 year old men, p = 0.06
The number of 50 year old men in the sample, n = 260 men
The number of the sampled men that developed prostrate cancer = 13 men
The significance level, α = 0.05
Let the null hypothesis, H₀: [tex]\hat{p}[/tex] = p
The alternative hypothesis, Hₐ: [tex]\hat{p}[/tex] ≠ p
The standard score, [tex]z_{\alpha /2}[/tex] = 1.96
The test statistic, 'z', is given as follows;
[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p \cdot q}{n}}}[/tex]
[tex]\hat{p}[/tex] = 13/260 = 0.05
q = 1 - p = 1 - 0.06 = 0.94
[tex]Therefore, \ z=\dfrac{0.05-0.06}{\sqrt{\dfrac{0.06 \times 0.94}{260}}} = \dfrac{\sqrt{9165} }{141} \approx -0.68[/tex]
From the z-table, we find the p-value as follows;
P(z ≈ -0.68) = 0.24825
Therefore, given that the p-value, 0.24825 is larger than the significance level, α/2 = 0.025, we fail to reject the null hypothesis, and therefore, there is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men
You cannot use critical numbers and test intervals to solve quadratic and
rational inequalities.
True
False
Answer:
False
Step-by-step explanation:
You can use test intervals and critical numbers to solve quadratic and rational inequalities.
help math !!! .............
Answer:
7cm.Hope this will help you.
Explanation is given in the above photo.
Answer this correctly I’ll give brainalist + 10 points
Answer:
x = 43
Step-by-step explanation:
Since these angles are inside a right angle, we know their sums are complementary (they add up to 90°.)
x + x + 4 = 90
2x + 4 = 90 | Combine x's
2x = 86 | Subtract 4 from both sides
x = 43 | Divide both sides by 2
A rectangle has a length of (5x+2) and a width of (3x-1) with an area of 308 square units. Find the perimeter
Help please someone A, B, or C ?
Answer:
it got to be b 2:2
Select all the expressions that are equivalent to 10x + 4 - (6x - 1)
Answer:
4x + 5
Step-by-step explanation:
10x + 4 - 6x + 1
= 4x + 5
1
Cindy has a 4-shelf bookcase in which she wants to place baskets. Each basket takes up of one shelf as shown
4
Cindy wants to place as many baskets on the shelves as possible. How many baskets can Cindy place on the 4 shelves?
Previous
Answer:
obviously 16 books....
What is an equation of the line that passes through the point
(−1,−3) and is parallel to the line 4x-y=2?
Answer: y = 4x + 11
Step-by-step explanation:First, you put the equation into the standard “slope/intercept” form.
4x -y = 2 subtract 4x from both sides ; -y = -4x + 2 Multiply by -1 :
y = 4x - 2
In this standard form we see that the slope of the line (coefficient of x) is 4. ANY line parallel to this one must thus also have a slope of 4.
y = 4x - a (generic)
ANY other combination of slope multiples and constant terms will therefore also be lines parallel to this one. The one that passes through a specific point will simply have a different constant term.
We find this by putting our point value into the equation:
3 = 4(-2) + a ; 3 = -8 + a ; a = 11
Thus, our “parallel line equation” through the point (-2,3) is:
y = 4x + 11
please help me please help me please help
Answer:
a) September; b)October
Step-by-step explanation:
Just do the calculations, for example: 71+(-293). You will see September has a drop less 210 dollars and October has the biggest change of sales.
Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has oil and the test predicts it
Answer:
0.36 = 36% probability that the land has oil and the test predicts it
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
45% chance that the land has oil.
This means that [tex]P(A) = 0.45[/tex]
He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil.
This means that [tex]P(B|A) = 0.8[/tex]
What is the probability that the land has oil and the test predicts it?
This is [tex]P(A \cap B)[/tex]. So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(B \cap A) = P(B|A)*P(A) = 0.8*0.45 = 0.36[/tex]
0.36 = 36% probability that the land has oil and the test predicts it
Answer:
The probability that the land has oil and the test predicts it is 36%
Step-by-step explanation:
So option C. 0.36 is correct for plato users
PLEASE HELP
Mrs Joseph had 4/5 kg of butter. She used 1/8 kg if he butter to bake a cake. What was the greatest number of such caked she could bake?
Answer:
6
Step-by-step explanation:
4/5=80%
1/8=12.5%
80÷12.5=6.4
Plz help me I need help I can not
Figure this out
Answer:
Step-by-step explanation:
Area of two parallelograms = 3⅐ = 22/7
Area of one parallelogram = 11/7
Height = 1 2/7 = 9/7
base of one parallelogram = (11/7)/(9/7) = 11/9 yards
Answer:
b = 11/9 = 1 2/9
Step-by-step explanation:
A=bh
1.2(3 1/7)=b(1 2/7)
(1/2(22/7))/9/7=b
(11/7)/9/7=b
11/7x7/9=b
11/9=b
b= 1 2/9
Question Progress
Homework Progress
7/21 Marks
a) Work out (8 * 109) * (2 10)
Give your answer in standard form.
b) Work out (6 * 102) = (3 x 10-6)
Give your answer in standard form.
Which is an equation of the line that passes through the points (-1,9) and (4, 24)?
y = 3x + 12
D
B
y= kx + 12
y= 1x – 4
С
D
y = 3.2 – 4
Answer:
y = 3x + 12
Step-by-step explanation:
Slope (m) = 24-9/4-(-1)
= 25/5
= 3
Using point (-1 , 9)
y - y1 = m (x - x1)
y - 9 = 3 (x - -1)
y - 9 = 3 (x + 1)
y - 9 = 3x + 3
y = 3x + 3 + 9
y = 3x + 12
Can someone please help me answer this is a test and I need to hurry
Answer:
27
Step-by-step explanation:
a machine produces 440 bolts in 48 minutes. At the same rate, how many bolts would be produced in 30 minutes
Answer:
it is your answer..... if it is helpful plzz like and comment
g In a random sample of 60 shoppers chosen from the shoppers at a large suburban mall, 36 indicated that they had been to a movie in the past month. In an independent random sample of 50 shoppers chosen from the shoppers in a large downtown shopping area, 31 indicated that they had been to a movie in the past month. What significance test should be used to determine whether these data provide sufficient evidence to reject the hypothesis that the proportion of shoppers at the suburban mall who had been to a movie in the past month is the same as the proportion of shoppers in the large downtown shopping area who had been to a movie in the past month
Answer:
Option E, two-proportion z test should be used to determine whether these data provide sufficient evidence to reject the hypothesis that the proportion of shoppers at the suburban mall who had been to a movie in the past month is the same as the proportion of shoppers in the large downtown shopping area who had been to a movie in the past month
Step-by-step explanation:
The complete question is
In a random sample of 60 shoppers chosen from the shoppers at a large suburban mall, 36 indicated that they had been to a movie in the past
month. In an independent random sample of 50 shoppers chosen from the shoppers in a large downtown shopping area, 31 indicated that
they had been to a movie in the past month. What significance test should be used to determine whether these data provide sufficient
evidence to reject the hypothesis that the proportion of shoppers at the suburban mall who had been to a movie in the past month is the same
as the proportion of shoppers in a large downtown shopping area who had been to a movie in the past month?
A one-proportion z interval B two-proportion z interval
B two-proportion z interval
C two-sample t test D one-proportion z test
D one-proportion z test
E two-proportion z test
Solution
Two proportion z test is used to compare two proportions. In this test the null hypothesis is that the two proportions are equal and the alternate hypothesis is that the proportions are not the same. The random sample of populations serve as two proportions.
Hence, option E is the best choice of answer
can you help me on a papper
Answer:what do you need help with
Step-by-step explanation:
Which number produces an irrational number when multiplied by
1/3
Answer:
all of them 1/3 is irrational
Step-by-step explanation:
Which is larger ? A : 13 + 1.05g B : 12 + 1.50g
Factor the algebraic expression.
12a+9
Attempt if smart please help
How many ways are there to form a 4-digit odd number using the digits
3, 4, 5 and 8 without repeating the digits in each number?
Answer:
12
Step-by-step explanation:
There are 2 ways to choose the last digit (3 or 5), because the number has to be odd.
We're left with 3 digits that we need to arange anyhow. First digit we can choose any of the 3, then any of the 2 left. At the end, there's only one digit to choose.
Answer is 2 * 3 * 2 = 12
Jorge has $150 in his savings account. He earns $33 a week mowing lawns. If Jorge saves all of his earnings, after how many weeks will he have$437 saved?
Answer:
9 weeks
Step-by-step explanation:
used a calculator really easy
Which of the following World Record times from Track and Field is least
precise?
A. 47.6 seconds (400 m -Women)
B. 43.18 seconds (400 m - Men)
C. 21.34 seconds (200 m-Women)
D. 9.79 seconds (100 m - Men)
Answer:
THE ANSWER SHOULD BE D OR B
Step-by-step explanation:
I DON'T KNOW
If I have six eggs I crack two I cooked two and I eat two how many eggs do I have left
Answer:
4
Step-by-step explanation:
you cracked, cooked, and ate the same two eggs
Please I need help it’s an emergency
Answer:
i think its b
Step-by-step explanation:
i might be wrong but i think its
[tex]4 \sqrt{3 } [/tex]
Ive been staring at this for a long time now, pls help
Answer:
9
Step-by-step explanation:
I replaced the missing variable with x and solved the equation from there.
Answer:
10.75
Step-by-step explanation:
i got this because the first part says 13 × 3/8 so this means that the numbers 2 × 3/8 + 3/8 + 3/8 and the unknown number have to equal 13. so when u multiply 2 x 3/8 you get .75 and then you add the two other numbers and get 1.5 and then you subtract 1.5 from 13 and you get 11.5
PHEWW
HELP SIMPLE MATH PROBLEM!!!!
Answer:
32
Step-by-step explanation:
Hello There!
The first thing we need to do is find the formula for area of a trapezoid
The formula is
[tex]A=\frac{a+b}{2} h[/tex]
where a= base 1
b = base 2
and h = height
we are given all of the dimensions so all we have to do is plug them in
sp
[tex]A=\frac{12+4}{2} 4\\12+4=16\\\frac{16}{2} =8\\8*4=32[/tex]
so the area of the figure is
32 units ²
Answer:
32
Step-by-step explanation:
Find formula
A=a+b/2 h
a= base 1
b = base 2
h = height
Then plug everything in
32 units ²