Answer:
154 sweets
Step-by-step explanation:
Adrian, Ben and Charlie share some sweets in the ratio 5:2:7 and Charlie got 22 more sweets than Adrian.
Let the total number of sweets be x.
Then Adrian gets:
And Charlie gets:
It was given that Charlie got 22 more sweets than Adrian.
This implies that:
Multiply through by 14:
Group similar terms;
Answer:
2. k = -24
3. y = 50
4. m = -13
5. b = 8/7
6. x = -1/2
7. a = -4
8. k = 7.8
Step-by-step explanation:
2. -20 ÷ 5/6
3. 18 ÷ 0.36
4. -1/2 * 26
5. 6/7 + 2/7
6. 1/8 - 5/8
7. -2.3 - 1.7
8. 3.4 + 4.7
Those should be good. Good luck
Answer:
first one is 5
fourth one is 70
Step-by-step explanation:
Answer:
a.
H₀:β=0
H₁:β≠0
b.
p-value: 0.2935
95% CI: [-45.91;19.71]
Step-by-step explanation:
Hello!
You need to make a linear regression test. For this, you have two variables
X: Operators
Y: Wait time
x: 4 ; 5; 6; 7 ; 8
y: 385 ; 335 ; 383 ; 344 ; 288
The linear regression equation:
Yi: α + βxi + εi
a. The Hypothesis for a two-tailed test for the slope is:
H₀:β=0
H₁:β≠0
b.
The statistic is
t= (b-β)/√Sb₂ ~
I've used a statistic software to calculate the values
b= 10.31
= -1.27
p-value= 0.2935
The 95% CI for the slope, using the formula:
b±*Sb
is,
[-45.91;19.71]
I hope you have a SUPER day!
Answer:
x=amount invested at 7%
2x=amount invested at 8%
3x=amount invested at 9%
interest=principal*rate*time (time=1 year)
$150=0.07x+0.08*2x+0.09*3x
$150=0.07x+0.16x+0.27x
$150=0.50x
$1500=5x
x=$300 invested at 7%
2x=$600 invested at 8%
3x=$900 invested at 9%
Step-by-step explanation: