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omeli [17]
3 years ago
12

Grace scored 18 out of 22 on a grammar quiz and 60 out of 70 on a social studies test. Did she score a higher percentage on the

grammar quiz or on the social studies test?
Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
6 0

Answer:

18 divided by 22 is around 82

60 divided by 70 is around 86

Step-by-step explanation:

So the social studies test she scored higher

ELEN [110]3 years ago
3 0
Social studies because 18/22 is approximately 82% and 60/70 is approximately 86%
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Use the graph of f below. Assume the entire function is graphed below.<br> Find the domain
enot [183]

ANSWER

The domain of the function is

- 3 \leqslant x \leqslant 6

or

[-3,6]

EXPLANATION

The domain of a function refers to the values of x for which the function is defined.

From the graph, we can see that the function begins at (-3,6) and ends at (6,-4).

Therefore the function is defined for x=-3 to x=6.

Hence the domain of the function is

- 3 \leqslant x \leqslant 6

or

[-3,6]

5 0
3 years ago
Bob wants $50,000 at the end of 7 years in order to buy a car. if his bank pays 4.2% interest, compounded annually, how much mus
Furkat [3]
<span>The correct answer is $1452.50 per year.

Explanation:<span>
We use the formula
</span></span>P(1+\frac{r}{n})^{nt}+PMT(\frac{[(1+\frac{r}{n})^{nt}-1]}{\frac{r}{n}})\times (1+\frac{r}{n}),<span><span>

where P is the amount of principal invested, r is the interest rate as a decimal number, n is the number of times per year the interest is compounded, PMT is the monthly deposit added, and t is the number of years.

Since the amount of principal is not stated, we will assume that Bob is depositing the same amount every following year as he does the first year, so we will let PMT=P.

Our interest rate, r, is 4.2%; 4.2%=4.2/100=0.042.

The number of times the interest is compounded annually, n, is 1.
The amount of time, t, is 7.

We know he wants $50,000. This gives us the equation
50000=P(1+0.042/1)</span></span>⁽¹ˣ⁷⁾<span><span>+P{[(1+0.042/1)</span></span>⁽¹ˣ⁷⁾<span><span>]/(0.042/1)}*(1+0.042/1).

Simplifying this a bit, we have
50000=P(1.042)</span></span>⁷<span><span>+P((1.042</span></span>⁷<span><span>)/0.042)*(1.042).

We can factor out P, giving us
50000=P[1.042</span></span>⁷<span><span>+((1.042</span></span>⁷<span><span>)/0.042)*1.042].

This then gives us
50000=P(34.4234).

Divide both sides:
50000/34.4234 = (P(34.4234))/34.4234,

which gives us P=1452.50.</span></span>
4 0
3 years ago
Read 2 more answers
Trials in an experiment with a polygraph include 97 results that include 23 cases of wrong results and 74 cases of correct resul
o-na [289]

Answer:

H0:p= 0.80                 H1: p< 0.80  one tailed test

Step-by-step explanation:

We state the null and alternative hypotheses as that the results are 80 % against the claim that the results are less than 80%.

H0:p= 0.80                 H1: p< 0.80  one tailed test

p2= 0.8 , p1= 74/97= 0.763

q1= 1-0.763= 0.237    q2= 0.2

The level of significance is 0.05 .

The Z∝= ±1.645 for ∝= 0.05

The test statistic used here is

Z= p1-p2/ √pq/n

Putting the values:

Z= 0.763 -0.8 / √ 0.8*0.2/97

z= -0.037/ 0.0406

z= -0.9113

The Z∝ = ±1.645 for ∝= 0.05 for one tailed test.

As the calculated value  does not fall in the critical region  we fail to reject the null hypothesis. There is not sufficient evidence to support  the claim that such polygraph results are correct less than 80% of the time.

Using the normal probability table.

P (Z <  -0.9113)= 1- P(z= 0.9311) = 1- 0.8238= 0.1762

If P- value is smaller than the significance level reject H0.

0.1762> 0.005  Fail to reject H0.

8 0
3 years ago
Simplify fractions in <br> equation
Fittoniya [83]
The answer is on the paper

5 0
3 years ago
Please answer the question, I think I have the answer but I'm not sure.
Georgia [21]

Answer:

20cm

Step-by-step explanation:

Frame L&W: 25×20

PictureL&W:20×16

25-20=5

Length of Picture frame=5

Length of Picture frame=4

5×4=20cm²

To find area you multiply length by width

8 0
3 years ago
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