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iogann1982 [59]
2 years ago
10

Jenny and Lenny pick 1/4 and 1/3 of a tree full of apples, respectively. Penny picks the rest of the apples.If Lenny picks 7 mor

e apples than Jenny does, how many apples does penny pick
Mathematics
1 answer:
MrRissso [65]2 years ago
6 0

Answer:

Penny picks 35 apples

Step-by-step explanation:

first, you need to multiply the fractions to get equal denominators.

(1/4)*3=3/12 and (1/3)*4=4/12

then add the results,

3/12+4/12=7/12

to work out what fraction was picked by Penny, use 12/12(total amount as a fraction with equal denominator)

12/12-7/12=5/12

then to work out how many apples were picked by Penny(P), Jenny(J), and Lenny(L)

J=3/12, L=4/12, P=5/12.

if Lenny picks 7 more than Jenny, then each twelfth of the apples is 7 apples. therefore,

12*7=84 total apples

Penny picks 5 twelfths, therefore,

5*7=35 apples

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If Johnny had 20 complete living room outfits, disregard color scheme, how many different sets of five complete outfits could be
S_A_V [24]
The answer to this question is 5
3 0
2 years ago
Explain how to use the combine place value strategy to find 223 -119.
SashulF [63]
Combine place value strategy is useful if you try to subtract a number with bigger digits from a number with a smaller digit in the same place... such as now, where 3 is smaller than 9 in the ones place.

Then we can combine two place values: 23 and 19 and subtruct those. 23-19 is 4 (you can just count up from 19 to 23), so you know that the two will give  the result of 04, and then you can proceed to the left: 2-1=1.

so the final result will 104.
6 0
2 years ago
A recent study found that 51 children who watched a commercial for Walker Crisps (potato chips) featuring a long-standing sports
hichkok12 [17]

Answer:

1

The claim is that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

2

The kind of test to use is a t -test because a t -test is used to check if there is a difference between means of a population

3

t  =  3.054

4

The p-value  is   p-value  =  P(Z >  3.054) = 0.0011291

5

The conclusion is  

There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

The test statistics is  

Step-by-step explanation:

From the question we are told that

   The first sample size is  n_1  =  51

    The first sample  mean is \mu_1  =  36

    The second sample size is  n_2  =  41

    The second sample  size is  \mu_2  =  25

     The first standard deviation is  \sigma _1  =  21.4 \  g

    The second standard deviation is  \sigma _2  =  12.8 \  g

  The  level of significance is  \alpha =  0.05

The  null hypothesis is  H_o  :  \mu_1 = \mu_ 2

The  alternative hypothesis is  H_a :  \mu_1 > \mu_2

Generally the test statistics is mathematically represented as

    t  =  \frac{\= x_1 - \= x_2}{ \sqrt{ \frac{s_1^2}{n_1}  + \frac{s_2^2}{n_2}  } }

=>   t  =  \frac{ 36 - 25}{ \sqrt{ \frac{ 21.4^2}{51}  + \frac{ 12.8^2}{41}  } }

=> t  =  3.054

The  p-value is mathematically represented as

     p-value  =  P(Z >  3.054)

Generally from the z table  

             P(Z >  3.054) =  0.0011291

=>   p-value  =  P(Z >  3.054) = 0.0011291

From the values obtained  we see that p-value  < \alpha so  the null hypothesis is rejected

Thus the conclusion is  

  There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

5 0
2 years ago
Choose the point-slope form of the equation below that represents the line that passes through the points (−6, 4) and (2, 0). y
Likurg_2 [28]
Y-y1=m(x-x1)
for slope=m
for point (x1,y1)
slope for 2 points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)

points
(2,0)
(-6,4)
(0-4)/(2-(-6))=(-4)/(2+6)=-4/8=-1/2

m=-1/2


could be
y-4=-1/2(x+6)
or
y=-1/2(x-2)

6 0
2 years ago
Read 2 more answers
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2
olga55 [171]

Answer:

x^2 + (y – 3)^2 = 36

Step-by-step explanation:

The standard equation of a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.

If the center lies on the y-axis, then h = 0:  (x - 0)^2 + (y - k)^2 = r^2

If the circle diameter is 12, then the circle radius is 6, and so r^2 = 36

So, among the given equations, your

x^2 + (y – 3)^2 = 36 is correct (but only if you use " ^ " for exponentiation).

3 0
2 years ago
Read 2 more answers
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