Answer:
it's answer is 33°
Step-by-step explanation:
116° + 31° + m<1 = 180° [being sum of angles of triangle ]
147° + m< 1 = 180°
m<1 = 180° - 147°
m<1 = 33°
X=grams of protein you need daily.
Remember (4%=4/100=0.04).
x=4% of x + 48 g
therefore, we can suggest this equation:
x=0.04x+ 48
x-0.04x=48
0.96x=48
x=48/0.96
x=50
Answer: 50 grams of proteins you need daily.
Other method:
the remaning is equal to =100%-4%=96%
Therefore: 96% of x=48
Remember (96%=96/100=0.96)
we can suggest this equation too.
0.96x=48
x=48/0.96
x=50
Answer:50 grams of proteins you need daily.
Answer:
0.1425 = 14.25% probability that the individual's pressure will be between 119.4 and 121.4mmHg.
Step-by-step explanation:
When the distribution is normal, we use 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:
Find the probability that the individual's pressure will be between 119.4 and 121.4mmHg
This is the pvalue of Z when X = 121.4 subtracted by the pvalue of Z when X = 119.4. So
X = 121.4
has a pvalue of 0.5987
X = 119.4
has a pvalue of 0.4562
0.5987 - 0.4562 = 0.1425
0.1425 = 14.25% probability that the individual's pressure will be between 119.4 and 121.4mmHg.
Answer:
The amount invested at 9% is $93000
The amount invested at 10% is $303000
Step-by-step explanation:
Let the amount invested at 9% interest rate be x
And the amount invested at 10% rate be y
Simple Interest from x in a year = 0.09x
Simple Interest from y in a year = 0.1y
But y = 24000 + 3x
And the sun of the interests, 0.09x + 0.1y = 38670
Now we have a simultaneous eqn
y = 24000 + 3x (eqn 1)
0.09x + 0.1y = 38670 (eqn)
Substitute y into eqn 2
0.09x + 0.1(24000 + 3x) = 38670
0.09x + 2400 + 0.3x = 38670
0.39x = 38670 - 2400
x = 36270/0.39 = $93000
y = 24000 + 3x = 24000 + 3 × 93000 = $303000
First one: If the leading coeff. is negative, the graph begins in Quadrant III and ends in Quadrant IV. It's an even function. The fourth graph represents it.
If the leading coeff. is positive, but everything else remains the same, the graph opens upward, beginning in Q II and ending in Q I.