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KiRa [710]
3 years ago
13

Catherine is a sixth grader at her school. The sixth graders are collecting food items to donate to the local shelter. Their goa

l is for each sixth grader to collect at least 512 pounds of food. Catherine has already collected 134 pounds of food. If she collects 114 pounds of food each day, how many days will it be till she has at least 512 pounds of food?
Mathematics
1 answer:
Goryan [66]3 years ago
3 0

Answer:A= 7

Step-by-step explanation:

y=mx+b

512=114x+134

subtract 134 from both sides of the equation,

378=114x

Divide 144 from both sides of the equation to get x by itself

x=6.25

you'll round up because you can't really have a quarter day.

A= 7

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A random sample of 146 recent donations at a certain blood bank reveals that 81 were type A blood. Does this suggest that the ac
Tju [1.3M]

Answer:

We reject H₀  the actual percentage of type A donations differs from 40%

Step-by-step explanation:

Sample information:

sample size   n = 146

Type A   x₁  =  81   and   p₁  = 81 / 146     p₁  =  0,5547

then  q₁   =  1 - p₁    q₁  =  1  -  0,5547    q₁  =  0,4453

We choose as significance level  α  = 5%  α = 0,05   α /2  = 0,025

from z-table we find   z (c) = 1,96

National % of the population  ( μ  = 40 %  μ = 0,4 )

Test hypothesis

Null hypothesis                           H₀           p₁  =  μ

Alternative Hypothesis              Hₐ           p₁   ≠ μ

The Alternative hypothesis indicates that the test is a two-tail test

z(s) =  ( p₁  -   μ )/ √ p₁*q₁ / n

z(s) =  ( 0,5547  -  0,40 )/ √ 0,5547*0,4453 / 146

z(s) =  0,1547 / 0,041

z(s) = 3,77

Comparing  z(s)  and z(c)

z(s) > z(c)  

z(s) is in the rejection region. We reject H₀. Sample does not give evidence to support that the actual percentage of type A donations is equal to the national population

6 0
2 years ago
Thirty six plus b is greater than negative twenty four b plus negative sixty four
8_murik_8 [283]

Answer:

Step-by-step explanation:

36 + b > -24b + (-64)

24b + b > -36 - 64

25b >  100

b > 100/25

b > 4

8 0
3 years ago
Compare the exponential functions f, g, and h which are shown below.
Nostrana [21]
Hello,
Please, see the detailed answer in the attached files.
Thanks.

5 0
3 years ago
Jesselyn made 6 muffins. She used 3/8 teaspoon of baking powder for each muffin. How much baking powder did Jesselyn use for all
bezimeni [28]

Answer:

C

Step-by-step explanation:

Multiply the number of muffins by how much baking powder is in each muffin. That's read as 6/1 × 3/8 which equals 18/8.

6 0
2 years ago
Prove that at a party where some people shake hands, the number of people who shake hands with an odd number of people is an eve
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people. Count how many different answers there are to asking the person the question "How many hands did you shake?" How many people are there? If the people are the pigeons, and the possible answers to the question "how many hands did you shake" are the holes, can we conclude anything yet? No? How about now noticing that at least one of the holes "I shook hands with noone" or "I shook hands with everyone" has to be empty... now what?

"Since there are more pigeons than holes there must be a hole with at least two pigeons in the same hole" Now, replace the word "pigeons" and "holes" with the appropriate terms for the context of your specific question, remember we are talking about people and number of handshakes they participated in.
5 0
3 years ago
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