1.) A carpenter has boards of lengths 24, 36, and 42 inches that must be cut into smaller boards of equal length, with no scrap
wood left over.
What is the longest length of boards he can cut?
2 inches
4 inches
12 inches
6 inches
2.) Solve -2t + 5 ≥ -7.
t ≤ -6
t ≤ 6
t ≥ -6
t ≥ 6
3.) Luis needs to run at least 150 miles in order to go with the cross country team to a summer training camp. He has forty days to pre-train for the camp.
Which inequality can be used to find how many miles Luis must run each day to meet this goal?
40 m ≥ 150
40 m ≤ 150
40 m > 150
40 m < 150
Questions four and five is the screenshots. Please help me! BRAINLEST, 5 STARS AND A THANKS!
What is the longest length of boards he can cut?
2 inches
4 inches
12 inches
6 inches
2.) Solve -2t + 5 ≥ -7.
t ≤ -6
t ≤ 6
t ≥ -6
t ≥ 6
3.) Luis needs to run at least 150 miles in order to go with the cross country team to a summer training camp. He has forty days to pre-train for the camp.
Which inequality can be used to find how many miles Luis must run each day to meet this goal?
40 m ≥ 150
40 m ≤ 150
40 m > 150
40 m < 150
Questions four and five is the screenshots. Please help me! BRAINLEST, 5 STARS AND A THANKS!
1 answer:
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What you have here is a quadratic polynomial.
The form is: ax^2 + bx + c
C is ALWAYS the y-intercept in non-linear polynomials. So we immediately know the y-intercept to be 1.
For the X-intercept(s), we can solve in a few ways, but let's use the quadratic formula.
The quadratic formula states that y=-b+-((sqrt(b^2-4ac) / 2a).
A = 2
B = 3
C = 1
Plug in your information,
y = (-3 +- 1) / 4
X = -.05
X = -1
Y = 1
X-Intercepts: -.05, -1
Y-Intercepts: 1
Answer:
You need a z-score of at least 1.09 to get accepted.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
To get accepted into OSU, you need at least a 27. What is the z-score you need to get accepted?
We need to find Z when X = 27. So
You need a z-score of at least 1.09 to get accepted.