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solve the system by substitution 2x + 5y = - 3 and y = - 1
Answer:
x = 1
y= -1
Step-by-step explanation:
Plug in for y
2x + (5)(-1) = -3
2x - 5 = -3
2x = - 3 + 5
2x = 2
x = 1
In Las Vegas, the sales tax is 8.375%. How much sales tax would there be on a $750 flat screen TV? *
Answer:
Step-by-step explanation:
Sales tax = $750 × 0.08375 = $62.8125
Answer:
[tex]\boxed {\boxed {\sf \$62.81}}[/tex]
Step-by-step explanation:
To find the sales tax, multiply the price by the tax rate.
[tex]sales \ tax=price * tax \ rate[/tex]
The price of the TV is $750 and the tax rate is 8.375%, but we must convert it to a decimal. Divide by 100 or move the decimal place two spots to the right.
8.375/100=0.08375 or 8.3750⇒.8375⇒ 0.08375Substitute the values into the formula.
[tex]sales \ tax= 750*0.08375\\sales \ tax= 62.8125[/tex]
Round to the nearest cent, which is the hundredth place. The 2 in the thousandth place tells us to leave the 1.
[tex]sales \ tax = 62.81[/tex]
The sales tax on the TV is approximately $62.81.
Carlton and Leon are expert bowlers. Seventy percent of Carlton's rolls are strikes, while 67% of Leon's rolls are strikes. Suppose that Carlton and Leon each bowl 25 games. What is the probability that Leon's proportion of strikes is greater than Carlton's for these games?
Answer:
The probability that Leon strikes is greater than Carlton strike is 0.40905
Step-by-step explanation:
From the question, we have;
The percentage of Carlton's rolls are strikes, [tex]\hat p_1[/tex] = 70%
The number of games Carlton played, n₁ = 25
The percentage of Leon's rolls that are strikes, [tex]\hat p_2[/tex] = 67%
The number of games Leon played, n₂ = 25
Therefore, we have;
[tex]\hat p=\dfrac{k_1 + k_2}{n_1 + n_2}[/tex]
Where;
k₁ = 0.7 × 25 = 17.5
k₂ = 0.67 × 25 = 16.75
[tex]\therefore \hat p=\dfrac{17.5 + 16.75}{25 + 25} = 0.685[/tex]
The test statistic is given as follows;
[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p})\cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]
[tex]Z=\dfrac{0.7-0.67}{\sqrt{0.685 \cdot (1-0.685)\cdot \left (\dfrac{1}{25}+\dfrac{1}{25} \right )}} \approx 0.2283[/tex]
From the z-table, we have;
The p-value for Carlton strikes is greater than Leon's strike = 0.59095
∴ The p-value for Leon strikes is greater than Carlton strike = 1 - 0.59095 = 0.40905
The probability that Leon strikes is greater than Carlton strike = 0.40905
The illustration below shows the graph of yyy as a function of xxx.
Complete the following sentences based on the graph of the function.
(Enter the xxx-intercepts from least to greatest.)
This is the graph of a
function.
The yyy-intercept of the graph is the function value y=\:y=y, equals
.
The xxx-intercepts of the graph (in order from least to greatest) are located at x=\:x=x, equals
and x=\:x=x, equals
.
The greatest value of yyy is y=\:y=y, equals
, and it occurs when x=\:x=x, equals
.
For xxx between x=2x=2x, equals, 2 and x=6x=6x, equals, 6, the function value y\:yy
\:000.
Answer:
This is the graph of a {\text{nonlinear function}}nonlinear functionstart text, n, o, n, l, i, n, e, a, r, space, f, u, n, c, t, i, o, n, end text.
The yyy-intercept of the graph is the function value y={{-6}}y=−6y, equals, minus, 6.
The xxx-intercepts of the graph are located at x={2}x=2x, equals, 2 and x={6}x=6x, equals, 6.
The greatest value of yyy is y={2}y=2y, equals, 2, and it occurs when x={4}x=4x, equals, 4.
For xxx between x=2x=2x, equals, 2 and x=6x=6x, equals, 6, the function value {y \, {\geq } 0}y≥0y, is greater than or equal to, 0.
Step-by-step explanation:
1 / 7
Let's use the graph to complete the sentences one by one.
Hint #22 / 7
A function with a constant rate of change produces a graph that is a line, and we say the function is linear. If the rate of change of the function is not constant, the graph will not be a line, and we say the function is nonlinear.
The graph shown is not a line. Therefore, we are looking at the graph of a nonlinear function.
Hint #33 / 7
The yyy-intercept of a graph is the value of the function when \red{x=0}x=0start color #df0030, x, equals, 0, end color #df0030. The yyy-intercept of this graph is the function value \blue{y=-6}y=−6start color #6495ed, y, equals, minus, 6, end color #6495ed.
Hint #44 / 7
The xxx-intercepts of a graph are the values of \red{x}xstart color #df0030, x, end color #df0030 for which \blue{y=0}y=0start color #6495ed, y, equals, 0, end color #6495ed. The xxx-intercepts of this graph are located at \red{x=2}x=2start color #df0030, x, equals, 2, end color #df0030 and \red{x=6}x=6start color #df0030, x, equals, 6, end color #df0030.
Hint #55 / 7
The maximum value of \blue{y}ystart color #6495ed, y, end color #6495ed occurs at the top of the bump in the graph. The coordinates of the top of the bump are (\red{4},\blue{2})(4,2)left parenthesis, start color #df0030, 4, end color #df0030, comma, start color #6495ed, 2, end color #6495ed, right parenthesis. Therefore, the maximum value is \blue{y=2}y=2start color #6495ed, y, equals, 2, end color #6495ed, and it occurs when \red{x=4}x=4start color #df0030, x, equals, 4, end color #df0030.
Hint #66 / 7
The graph of the function is above the xxx-axis for values of \red{x}xstart color #df0030, x, end color #df0030 between \red{x=2}x=2start color #df0030, x, equals, 2, end color #df0030 and \red{x=6}x=6start color #df0030, x, equals, 6, end color #df0030. For these values of \red{x}xstart color #df0030, x, end color #df0030, the function value y\geq 0y≥0y, is greater than or equal to, 0.
Hint #77 / 7
We can now complete the sentences:
This is the graph of a {\text{nonlinear function}}nonlinear functionstart text, n, o, n, l, i, n, e, a, r, space, f, u, n, c, t, i, o, n, end text.
The yyy-intercept of the graph is the function value y={{-6}}y=−6y, equals, minus, 6.
The xxx-intercepts of the graph are located at x={2}x=2x, equals, 2 and x={6}x=6x, equals, 6.
The greatest value of yyy is y={2}y=2y, equals, 2, and it occurs when x={4}x=4x, equals, 4.
For xxx between x=2x=2x, equals, 2 and x=6x=6x, equals, 6, the function value {y \, {\geq } 0}y≥0y, is greater than or equal to, 0.
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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27c^4d^5
--------------
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Answer:
Step-by-step explanation:
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\a^{-m}= \frac{1}{a^{m}}[/tex]
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Answer:
96 ft^2
Step-by-step explanation:
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have a great day :D
i would be 8 i did the math on a calculator
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Si en el ejercicio anterior se obtuvieron -26 puntos en lugar de 6, ¿Cuántas preguntas correctas e incorrectas se obtuvieron? *
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You bought a $1750 worth of stocks in
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decreasing by 12% each year. Let y = the
value of the stocks and let x = the
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Answer:
f(x) = 1750 x 0.88^x
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Step-by-step explanation:
The following dot plot shows the mass of each rock in Nija's rock collection. Each dot represents a different rock.
Answer:
To find the total mass you will add the following masses together:
1/4 + 1/4 + 2/4 + 2/4 + 2/4 + 3/4 + 3/4
For every X you list the number that many times.
The sum is 14/4 or 3 2/4 or
3 1/2.
The answer is choice D.
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Step-by-step explanation:
Answer:
40.5Step-by-step explanation:
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What is the solution for the equation?
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Answer:
D.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
Find the measure of the angles and arcs
here have a good day
Answer:
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A $23.05
B $3.75
C $2.15
D $0.60
please help !!
Answer:
D $0.60
Step-by-step explanation:
Since a dozen is equal to 12, we will first multiply $2.75 by 12, and we get $33. Now subtract $33 by $25.80 dollars, which is $7.2. Now we know that we saved $7.2 out of a dozen cupcake's, but we have to find how much we saved on each cupcake. So lets divide $7.2 by 12 and we get $0.60. Therefore, you saved $0.60 on each cupcake.
Are the equations m + 3 = -5 and m = -2 equivalent? Explain why or why not?
Answer:
Step-by-step explanation:
When m+3=-5, collection of like terms says; -5-3
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Find the ending
balance:
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Answer:
Step-by-step explanation:
It’s c 111,734
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Answer:
X=10
Step-by-step explanation:
71+50=121
180-121=59
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Answer:
1000009778
Step-by-step explanation:
1000009778
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(ㆆ_ㆆ)....how do you solve this? 5 √6 ( 4 - √10 )
Answer:
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Step-by-step explanation:
5 √6 ( 4 - √10 )
√6= 2.45
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Answer:
...
Step-by-step explanation:
The batsman will hit =20% of 15
= 15/5
= 3
Answer:
3
Step-by-step explanation:
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HELP FAST!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the answers are down below
Step-by-step explanation:
1. 17/5
2. 31/4
3. 7/3
4. 3/2
5. 23/5
6. 20/3
7. 19/2
8. 35/4
9. 47/6
10. 21/4
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
Find the surface area of rectangular prism